diff --git "a/data/dm_maths/full_data_2/10780_11255.jsonl" "b/data/dm_maths/full_data_2/10780_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10780_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j = 344.37216 - -80.97353. Let z = j - 425.53. Let h = z - -0.183. What is h rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from cwzgcglyl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m\/(m**1*m))))**(-30))**40*((m*(m\/((m\/m**(1\/2))\/m)*m)\/m)\/m)**(-22)*m**(-6)\/m*m*m\/(m**(-3)*m)*m assuming m is positive.\nAnswer: m**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.71 and -485.\nAnswer: 829.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 8:12 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6))\/((-16)\/(-36)). Let m(q) = 6*q - j*q - q + q. Let b(h) = h. Determine m(b(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**4 - a**4 + 9*a**4)*(-3 + 3 + 2*a + (-1 + 0 + 4)*(3*a + 4*a - 2*a)).\nAnswer: 34*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231 (base 4) to base 11.\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 43, -0.071.\nAnswer: -14, -0.071, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 69280453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002762 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-422 - 761 + 46)*(3*m + 2*m - 2*m) as i + l*m and give l.\nAnswer: -3411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 534007.\nAnswer: 41\/534007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*h + 10356, -5*y + 10510 = -4*h - 2435. Suppose 0 = 36*p - y - 5259. What are the prime factors of p?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 30*d**2 + d + 26. Let o be b(29). Suppose 0 = 5*t - t - o. Factor -1 - 230*r + t*r + 0*r**2 + 3*r**2 + 4.\nAnswer: 3*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-24))\/((-42)\/(-35)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 9*h**4 + 3*h**2 + (1 + 2 + 2)*(18*h + 282 - 282)*(-h**3 - h + h) to t*h**2 + z*h**4 + r*h**3 + n + x*h and give z.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/198*(-18)\/9*66\/(-110).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (-385)\/(-95))*-2. Which is the fourth smallest value? (a) -3\/7 (b) 0.6 (c) -0.3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70082373*0.3\nAnswer: 21024711.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 380305.3nm to kilometers.\nAnswer: 0.0000003803053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**4\/4 - 1505*u**3\/2 - 209237*u**2\/4 - 103113*u\/2 = 0.\nAnswer: -67, -1, 0, 3078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 20*u**2 + 16. Let y be h(-10). What is the second derivative of t**2 - 44*t - 15*t**3 - y*t**3 - 27*t**3 + 21*t**3 wrt t?\nAnswer: -222*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(-18)\/(-10296)*1?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - 25 - (580 - 584).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3033, 6094, 9167, 12258, 15373, 18518, 21699, 24922?\nAnswer: 28193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*h - 2*h**2 - 100*h + 4*h**4 + 206*h + h**2 in the form j*h**2 + r*h**4 + m*h + t*h**3 + u and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 5*x + x + (0 - 1 - 1)*(x + 4 - 4) - 3*x + 4*x - 2*x - 19*x - 65 + 65)*(-1 + 5*x**2 + 1).\nAnswer: -115*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -37. What is the greatest common factor of a and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 + -2) - ((-3 - 9) + 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.09621, -4, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7c (base 14) to base 15\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(20) + 0).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t + 36*t = 762. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - o + 0*o - 2*o + 0*o + (0 + 3 - 2)*(2*o - 2*o - o) - o + 2 - 2)*(-1 - 3*o + 1).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3788050.587 - 0.2\nAnswer: -3788050.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*v - 617, -366 = -5*z + 2*z + v. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10800 divided by -270?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340422058?\nAnswer: 2, 170211029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 3*z**2 - z - 3. Let r be f(-2). Let c(l) be the third derivative of 0 - 1\/12*l**4 + 1\/120*l**5 + 1\/3*l**r - 3*l**2 + 0*l. Factor c(y).\nAnswer: (y - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**3 + 2*d**2 - 2*d - 3. Let i be (1 + (-6)\/10)*-5. Let k be i - (0 + 0\/(-1)). Is n(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - g + 1. Let n(r) = -r**2 + 2*r - 2. Suppose q - 5*q = 5*j + 22, -4*q + 3*j = 6. Determine q*b(w) - 2*n(w).\nAnswer: -w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/3)\/(l\/(l*(l**(-4\/9)*l)\/l*l)) assuming l is positive.\nAnswer: l**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6 = -3*m, 3 = -3*g + 12. Solve -m*l = o + 4 - 9, 5*l + 3*o - 15 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + h**2 + h. Let n be r(1). Let q = 150 - 94. Let b be (q\/16 - 4)\/((-1)\/14). Solve -4*y - b = n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/457721?\nAnswer: -1\/457721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 10. Determine b(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -10*x - 14. Is 17 a factor of u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 9 = 3*v. Let s be v + -2 - (3 - -42). Let c = 70 + s. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209474 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 10*q**3\/3 - 66*q. Let k(c) = -4*c**2 - 10*c + 5. Let v(d) = 6*d**2 + 16*d - 8. Let y(n) = 8*k(n) + 5*v(n). What is i(y(m))?\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 168345 + 170074 = 0. Solve -c - 136 = -i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50.2 - -50.1999978. Round t to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1152) - sqrt(18).\nAnswer: -3 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = 189*m - 101*m - 98*m. What is the greatest common factor of 3487 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 156?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2937 = -3*r, 4*r = 2*r + 8. Is 0 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.077 and -243.\nAnswer: -242.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.021 + -0.2. What is m rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1100, 1105, 1114, 1127, 1144?\n\"Answer: 2*a**2 - a + 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93774 and 656418.\nAnswer: 656418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, g: 7, b: 1, h: 1}. What is prob of sequence hb?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -3*g**2\/2 + 128. Let j(v) = -6*v. Give a(j(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 8:03 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 61340*o - 188129780.\nAnswer: -5*(o - 6134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*w - 753*w**3 - 268*w**3 - 50*w - 109*w**3 + 2 to r*w**2 + a*w + u*w**3 + z and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**2 + 2 - 17*r**2 + 12*r**2 + 2*r to the form q + m*r + b*r**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14779 is divided by 7379.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4712838, -4712847, -4712860, -4712877, -4712898?\n\"Answer: -2*b**2 - 3*b - 4712833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 9. Let c = -12 + x. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/54 - 40\/(-990). Which is the nearest to 1? (a) 5 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + s + s + 5*s**2)*(-1 - 70 - 141) as j*s**2 + y*s + z and give j.\nAnswer: -1060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 195890 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 376690 and 29885?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1049 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 9*y**2 - 2*y - 15. Let o be (4 + (-13)\/4)*-12. Let k be c(o). List the prime factors of (1\/2)\/(543\/180 - k).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2\/4 + 33*f\/4 = 0. Calculate f.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-11998686.5.\nAnswer: -239973.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - 5*k**2)*(589 + 825 - 89)*(-2 - 1 + 4).\nAnswer: -2650*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216956681 to the nearest integer?\nAnswer: 14729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/160)\/((-8)\/10 - -1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o**3 + o - 1. Let h = -723 - -725. Determine s(h).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (1 - -12) + -12 + (0 - 13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 6137409090164.\nAnswer: -6137409090166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6*6\/(-585))\/((-2)\/(-5))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62546797 + 0.044.\nAnswer: 62546797.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*p**3*z - 2*p**3 - 323*z - 1 wrt p.\nAnswer: -204*p**2*z - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/5 - (-4)\/10. Suppose 4*f + 2*z - 20 = -2*z, -c*f + z = -15. Suppose -f = 4*n - 21. Solve n*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-7) + -9*1. Let s be v\/((-8)\/(-12)*-3). Solve -2*x = s*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 17 + 11 - 427*b + 33 + 841*b - 412*b.\nAnswer: 2*b + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**4 + 43 - 3*l**2 + l**3 - 16 - 19 in the form a*l + w*l**2 + k + g*l**4 + s*l**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 89 = -d, -d = 2*n + d + 40. Let h = 46 + n. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1282687 and 1426?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-189)\/(-483))\/(1\/2*(-300)\/150)?\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -0.04 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mziz when four letters picked without replacement from {i: 5, m: 6, l: 1, y: 5, z: 3}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633300 (base 15) in base 11?\nAnswer: 9103386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**4\/24 - u**3\/6 + 51*u**2 - 2*u. Let i(q) = -7*q - 7. Suppose -6*d + 155 = -79. What is d*f(a) - 6*i(a)?\nAnswer: 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13\/2, 1.22, -0.4, 0.2, 5\/49?\nAnswer: 1.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 125142.45 + -804\nAnswer: 124338.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 26*y**2 - 55*y - 436. Give q(16).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-3)\/5*-15. Let z be ((-15)\/r - 1)\/(2\/(-4)). Let i(h) = -3 + h**2 - h - 4*h - 5. Determine i(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/239 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*q - 799 + 1018 + 1082 + 654*q wrt q.\nAnswer: 711","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2151 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 p when three letters picked without replacement from kpoopjkkjkokjpjkp.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/20 - n**4\/2 - n**3\/2 - n**2\/2 - 383*n. Let u(s) = -s**2 + 6*s + 11. Let m be u(8). What is f(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 78401*l\/4 - 12832501\/2.\nAnswer: (l - 78727)*(l + 326)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(363) + 1 + -4)**2 + (2*sqrt(2700))\/(sqrt(9) + -5*(sqrt(36)\/sqrt(4) - sqrt(9))).\nAnswer: -2232 + 416*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 640 divide 1312640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160142230 to the nearest integer?\nAnswer: 12655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u - 8*u + 9*u. Let s(m) = -5*m**2 - 8*m + 4. Let f(z) = 9*z**2 + 14*z - 7. Let i(l) = -4*f(l) - 7*s(l). Determine i(o(p)).\nAnswer: -100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(13) + -1 + 4 + sqrt(13) - sqrt(65)\/(sqrt(5)*-2 - sqrt(5)) - ((-1*sqrt(13) + 1 - sqrt(13)) + sqrt(39)\/sqrt(12)))*1)**2 + 5).\nAnswer: -7201\/12 - 46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 3*s**2 + 3. Let t be r(-3). Let h(b) be the first derivative of b**4\/4 - b**3 - b**2 + 3*b - 1. Let l be h(t). Is l not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -2*s, 3*o - 4*s = 4*o. Let y = o + 3. What is the greatest common divisor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 27*m = -23*m + 2, 5*m + 23 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -38. Suppose 0 = -2*s - 5*d + 35, -5*d = -6*d + 5. Calculate the highest common divisor of z and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**3 + o**3 - 4*o**3)*(-2 + 0 + 1) - 108556 + 108556 + 411*o**3.\nAnswer: 409*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1258)\/(-6))\/(44846\/7914)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 54 = -15. Let t = c - 70\/3. Let r = t + 0. Is r < -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 13)\/(-6)*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - u**3 - 5*u + 0*u + 3 + 2*u. Let a(l) = l**2 + 8*l + 10. Let p be a(-7). Determine n(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2324633*m**5 - 2*m**3 + 12952318*m**2?\nAnswer: 139477980*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.40357*-24.\nAnswer: 9.68568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -5*u. Let s be -8 + 1 + (2 - 4). Let b be (u\/(s\/12))\/1. Which is greater: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -4*u - 131. Suppose u*r + 12 = 3*d, d - 4*r = -0*r + 1. Solve -f + 2*h + 9 = -0*h, d*h + 18 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 63. Let j be m(21). Solve j - 9 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 1. Let o(i) = -i - 2. Let y(n) = -3*d(n) + o(n). Let f be y(7). Suppose -4*t + f = -7. Sort t, -2, 5 in decreasing order.\nAnswer: 5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2. Let d(j) = 3*j**2. Suppose 5*r - 19 = -4. Calculate r*m(n) + 2*d(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*z + 70*z + 61*z - 215*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 9*n + 14. Let u be (n\/(-4))\/(-2 - 7782\/(-3888)). Suppose u = 4*g + 44. What is the greatest common divisor of g and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20140559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(70) - 1*(sqrt(70)*1 - sqrt(70)))*3)\/((-5*(sqrt(90) - (sqrt(90) - (sqrt(90) + -1*sqrt(90)))) + sqrt(90))\/(sqrt(27)\/sqrt(3)*-3 + sqrt(9))).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-82)\/(-123) + (-1039)\/(-3). Let b = 2432\/7 - j. Determine w so that -b*w**3 + 0 + 0*w + 0*w**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + j + 4. Let x be (j\/3)\/(23\/(-207)). Suppose -d = x*d - 232. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 176 = -38. Let j be 2\/3 + n\/(-3). Let z = -11 - -29. What is the highest common factor of j and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -1 + 56 + 229 + -212 + -18?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 686 + -385. Let i = c + -301.00000153. What is i rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 32. Give q(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*12\/16*(-4)\/28.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/7 - 20*i\/7 - 3.\nAnswer: (i - 21)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/1080 - 5*w**5\/72 + w**4\/3 - 101*w**3\/6 + 14*w**2 + 4*w. Let v(b) be the first derivative of x(b). Factor v(c).\nAnswer: (c - 24)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2274 - -2533. Let z = 11 - 6. Suppose f = k - 5*b, -3*k + 7*k + z*b = 936. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -155.077 - -164.7. Let o = 9.7 - z. Round o to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 278.1 - 129.7. Let g = 219.82 - l. What is g rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*l + 26 = -2*z, 0 = 2*z + 58*l - 226 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2\/5*k**3 + 4\/5*k**2 + 2\/5*k - 4\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 0 + 4 + 9. Let m be 6\/o*(-63)\/6. Is m at least -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 19 = 7. Suppose -3*k - x + 13 = 0, -q*k + 6*x = 3*x + 6. Solve 2*s - s - k*y - 5 = 0, 5 = s - y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3858)\/(-8359) - 227\/13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + -55?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 98555, -2, 3, -1 in descending order.\nAnswer: 98555, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.7 - -8. Let x = 1.301 + 2.699. Which is the biggest value? (a) h (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/286218 and 43\/22.\nAnswer: 3148398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 13 (c) 2\/15 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 9. Suppose 13 = -5*a + 48. Let m be k(a). Let b = m + 6. Solve -2*s = -3*s - b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(567) + 2)*-2)*-2 - (sqrt(84)\/sqrt(4)*-3)\/(1*sqrt(12) + sqrt(3))*-1)**2.\nAnswer: 980*sqrt(7) + 8771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.4 - -12.9. Let p = 0.08 + 0.22. Which is the biggest value? (a) 0.6 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*k**2 + 15*k**2 - 127*k**2 + 4 + 31*k**2 + 27*k**2 in the form y + s*k + w*k**2 and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 10\/3, 2\/19, 3\/5, 5, 3 in ascending order.\nAnswer: 2\/19, 1\/3, 3\/5, 3, 10\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = -24. Let c be 514\/(-7) - 4\/h. Is -3*5\/(15\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67158.13cm?\nAnswer: 671581.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13822.236s in hours?\nAnswer: 3.83951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -987633*m. Let o(q) = -3*q**2. What is o(g(l))?\nAnswer: -2926256828067*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2 - 63*a - 198. Calculate the remainder when z(-10) is divided by 117.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3808 and 173152.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**7\/280 + i**6\/180 - i**4\/24 - 5*i**3\/6 - 10*i**2. Let a(u) be the first derivative of y(u). Give a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10.36 (b) -511 (c) 0 (d) -1\/3 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -7*n - 123. Are n and -124 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 54 (b) -0.01 (c) -2 (d) 16\/5 (e) -1\/12 (f) 3 (g) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 75. Sort 0, 2, c, 0.5 in descending order.\nAnswer: c, 2, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 132.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*x - 11 = 0, -3*n = -2*x - 1 - 0. Suppose -4*r + 9 = -7. Suppose -1 = 4*z - b, b + r*b + 12 = n*z. Are z and 2\/27 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1071 - (10 - 2\/(16\/(-4))*-8). Calculate the greatest common factor of 120 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*w - 24*w - 18*w)*((0*w + 3*w - w)*(3*w + 0*w - w) + w + w**2 - w)*(0*w + 2*w**2 + 0*w).\nAnswer: -730*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -6. Suppose -5*g + 0*g = -25. Let z be 8\/(-5) - 2\/g. Does z = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 0 + 4\/3*s**3 - 1\/12*s**4 + 6*s**2 - s. Let w be t(9). Solve 5*l - 2*b - 18 = 0, -5*b + 16 = w*l - b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020767893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 - 8*p**4 - 972*p + 972*p)*(-p + 3 - 3).\nAnswer: 8*p**5 + 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwlom. What is prob of sequence wwl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -762*v + 51328 + 51327 - 102657 to m + g*v and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 888. Let d(t) = t + 222. Give 9*d(y) - 2*g(y).\nAnswer: y + 222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50899551 - -3?\nAnswer: 50899554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f**3 - 11*f + 11*f + (98*f - 7*f + 108*f)*(19 - 6*f**2 - 6*f + 4*f**2 - 17).\nAnswer: -387*f**3 - 1194*f**2 + 398*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 2 - 84\/(-27). Which is the nearest to 1\/2? (a) 4\/7 (b) g (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1331598)\/(-164) - (-3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195294099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33427369 a multiple of 2995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66590, 66592, 66594, 66596, 66598, 66600?\nAnswer: 66602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392976, 784796, 1176616, 1568436?\nAnswer: 1960256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 387*i**5\/20 + 36*i**4 - i**3\/2 + i**2 - 9867*i. Find the third derivative of b(q) wrt q.\nAnswer: 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16803745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5739783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 59*b**2 + 63*b + 32. Is 58 a factor of j(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = x. Suppose -2*y = 3140 - 3144. Calculate the greatest common divisor of y and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 + z - 1. Let q(g) = -8*g**3 + 8*g**2 + 6*g + 2. What is -6*p(k) + q(k)?\nAnswer: -2*k**3 + 2*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 15) in base 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-650)\/(-260)*(-4)\/(100\/55).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 91*o**3 + 2*o**2 - 197*o**3 - 287*o**3 + o - 1 - o**2. Let l be n(3). Round l to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 184388763*h\/4.\nAnswer: h*(h + 184388763)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.6 - 35. Let l(o) = -o**2 - o - 3. Let w be l(0). Let y = -10.1 - -10. Which is the closest to y? (a) z (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3*z - 18, 10*t - 6*t - 4*z = -40 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + 408\/20. Suppose 0 = p - b + 8. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 - 138*z + 37. Determine v(-15).\nAnswer: 1207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28903768 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 148\/(-37) - (-30)\/7. Which is the closest to -1\/2? (a) -0.3 (b) 0.5 (c) -0.9 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - f + 10, -a + 5*f - 18 = 3*a. Are -4 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 - 115. Which is the nearest to o? (a) -0.5 (b) 1 (c) -1\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 + 8*i**2 + 9*i + 25. Give t(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -20 + (4 - ((-50)\/11 - -4))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5. Suppose -4*o + 72 = -x*o. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(18\/(-10) + 1). Find the third derivative of -4*k**2 - p*k**3 - 2*k**3 + 5*k**3 + 2*k**3 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 20 - 9 - 7 + u - 7. Calculate h(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 1 + 5)**2 - (sqrt(99) + 3 + -2)) + -2.\nAnswer: 93*sqrt(11) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 4, -4 in decreasing order.\nAnswer: 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let w(o) = 2*o**2 - 5*o + 5. Let t(a) = a - 1. Let b(s) = s**2 - 10*s + 8. Let l be b(9). Let i(f) = l*w(f) - 5*t(f). Calculate i(h(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 71*g**2. Let n(p) = -1205*p**2 + 1. Calculate n(v(r)).\nAnswer: -6074405*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341201951 + 5729.\nAnswer: 341207680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -58, 2\/19, -2\/11, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 2*b**3\/3 + 7. Let g(p) = 4*p**2 - 5*p**2 - p**2. Give g(s(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/45*99\/11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2 + 2*p - 2. Let r(x) = x**2 + x. Let s(f) = 6*r(f) - y(f). Let j = 527 + -486. Suppose j*b - 48*b - 21 = 0. What is s(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 753162 - -11132?\nAnswer: 764314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 6*n - 2. Let h be a(-6). List the prime factors of (-3 - -41) + 2\/h*3.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224326868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 46459b (base 12) to base 8\nAnswer: 4232107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 152*g**2 - 781*g - 623. Calculate m(157).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d. Suppose -5*b - 3*a + d*a + 9 = 0, -2*a - 13 = -3*b. Suppose -4*v - 9 = -b*v - 4*w, 3*v - 18 = -3*w. Let o(z) = z**2 - 4*z - 2. Determine o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.251 + 0.251. What is the second biggest value in -73, p, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/5 + 501*y**3\/5 - 53402*y**2\/5 - 1150872*y\/5 + 502272 = 0?\nAnswer: -20, 2, 192, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 8*s + 2. Let i be b(-15). Suppose -4*g = 4*k - i, g - 5*k = 25 + 88. What is the remainder when g is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -716*d**3*t*x**2 - d**2*t*x + d**2*x**2 - 2*d*t*x**2 - 13*t wrt d.\nAnswer: -4296*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12269, -24460, -36653, -48848, -61045, -73244, -85445?\nAnswer: -97648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 24 + -2 - (104 - (194 + -90)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12346, -24700, -37054?\nAnswer: -49408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1386436, 1386435, 1386434, 1386433, 1386432?\nAnswer: 1386431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 44 - 156. Solve 5*k - 9 = 2*j, z = 4*j + 5*k + 28 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73132 + 126841 = -474*h - 1331*h - 13017 for h.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, f: 3}. Give prob of sequence ff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61810 and -70?\nAnswer: -4326700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1248 and -39\/160.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 7, o: 2, m: 6}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20*-3*1623\/(-5410)*(135\/(-6))\/9\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.174546 and -961.\nAnswer: 167.738706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1360*d + 12241. Calculate o(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143 + 44. Let j = -102 - n. Let z(o) = o**2 - o. Let b(w) = -6*w**2 + 7*w - 1. Let p(x) = j*b(x) - 15*z(x). What is g in p(g) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yvyyzzzzzyzzz.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46657885213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k - 360. Let s be (-3)\/(-1)*(-24)\/k. What is the smallest value in 3\/5, s, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjggqggjd. What is prob of picking 1 q and 1 d?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 7*i**5\/20 + 2*i**2. Let u(q) be the third derivative of -q**4\/24 + q**2 - 5*q. What is d(u(g))?\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 392569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + -2.06. Let j = 1409\/765 - 17\/9. Let r = 11\/17 + j. Which is greater: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*((6*sqrt(20)*3)\/(-2*sqrt(490)) + -4))**2.\nAnswer: 1800*sqrt(2)\/7 + 23748\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -5)*(-1)\/3. Let k = 3 + -5. Which is the second smallest value? (a) q (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*t**4 - 21694*t**3 + 14*t**2 + 3067*t + 6 wrt t?\nAnswer: -216*t - 130164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005157 to four dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*y - 272*y = -680 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -558 + 448. Let m(y) = -3*y + 41. Give m(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2417 = -1035. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8273 times 1.327\nAnswer: 1.0978271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 != 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5654431762003\/10505 + 538260998. Let c = o + -2\/955. What is the common denominator of c and -64\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (5 - (0 + -7 - -1)) - -15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574079938.\nAnswer: 2, 37, 211, 36767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30209*k**3 - 2*k**2 - 9*k + 73 wrt k?\nAnswer: -181254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10928.7499 from 3.08.\nAnswer: -10925.6699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) -2\/7 (c) 4 (d) -174\/11 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138953\/24 + 5792. Find the common denominator of d and -16\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26635, 26635, 26631, 26617, 26587, 26535?\nAnswer: 26455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271941\/67 - 4059. Are 0 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 868 - 876 - 17\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 17. Calculate the remainder when (-1 - 6)*(-3 - -1) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 7. Let y be l + (-18)\/(0 - 3). Suppose y = -d + 23. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**14\/c))**14)**(-20) assuming c is positive.\nAnswer: c**3080","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1345 or -6722\/5?\nAnswer: -6722\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1014304 - -4035?\nAnswer: -1010225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, n: 7, o: 6}. Give prob of picking 3 o and 1 n.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 14, 104*g - 4*f = 107*g - 1256621. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 225*x - 10 - 3 + 0. Is k(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 405 - 395. Suppose 0 = -3*b + c*j - 13*j + 399, b + 4*j = 136. Calculate the remainder when b is divided by 40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4855989 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g + 4\/3*g**3 + g**2 + 1\/3*g**4 + 1\/30*g**5 + 0. Factor h(d).\nAnswer: 2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9498206 is divided by 787.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*b - 3. Suppose 0*o + b = -5*h + o, h + 2*o = -6. Is (-385 + 3)*1\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 1. Suppose 4*x - 8 = 2*x. Suppose 2 = x*b - 2*b. What is the remainder when 9 is divided by f(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21711, -21692, -21671, -21648, -21623, -21596, -21567?\nAnswer: -21536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 + 5*h**2 - 7*h + 5. Give d(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/120)\/((-1)\/(-12))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37 - 1347d2b?\nAnswer: -1347d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*p**4 - 2*p**3 + p**2 - 2043?\nAnswer: -1680*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1741 - -1741.00006568. Round v to six decimal places.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 2\/5 (c) -1181 (d) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - s + 1. Let y(n) = -8*n**3 - n**2 + 3*n - 2. Give 2*a(z) + y(z).\nAnswer: -8*z**3 - 3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 2*p**2 - p)*(2 - 2 + 2) - 2*p**2 + 2*p**2 + p**2 + 2*p**2 + 3*p**2 - 4*p**2 + (-p + 0 + 0)*(-p + 2*p + 7*p) as j*p**2 + g*p + b and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 42213 to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -84, -157, -276, -459, -724, -1089?\nAnswer: -1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3250 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28742?\nAnswer: 2, 7, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -8. Suppose 2*n - n - g = 0. What is the remainder when 6 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 837 + 257 = -59*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453454 (base 7) in base 13?\nAnswer: 6c260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 2*l**2 + 0*l**2 + (-4*l + 3*l + 5*l)*(0*l + 2*l + 0*l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 22*q**2 + 3*q + 69. Let d be (-5)\/(-1)*(0 + (-110)\/25). Let t be b(d). Solve -4*n - 4 = 4*j, -t*n - 3*j - 3 = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - 3. Let n = z + 65. Let m = n - 55. Sort m, 5\/3, -0.1.\nAnswer: m, -0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a. Suppose 3*b - 22 = -5*n + 6*b, -6 = -5*n - b. Let i(k) = k**n + 6*k**2 - 11*k**2. Determine i(c(r)).\nAnswer: -324*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -25, -56, -101, -160, -233?\n\"Answer: -7*n**2 + 4*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/10)\/((-3)\/(-4)). Suppose y*i = -i + 15. Suppose q = 2*q + 5*d - 35, 6 = i*d. What is the highest common factor of q and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 587\/3 - 195. Let j = 6 - 4. Put b, j, 4 in ascending order.\nAnswer: b, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111213 - -2?\nAnswer: 111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38.21, 224, -2.\nAnswer: -2, 38.21, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-3 + 4 + -2). Suppose 7 = 4*l - 7*l + 5*k, -a = -2*l - 3*k. Solve 2*h + h - l = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-14))\/((-10)\/70). Let k = 3 + -2.9. Which is the closest to k? (a) u (b) 0 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95574*k*l**4*w**3 - 3*k*l**4 + 3*k*l**2*w**3 + 7*k*l*w - 1899*l**2 wrt l?\nAnswer: -2293776*k*l*w**3 - 72*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*w**3 + 76*w**3 + 179*w**3 - 43*w**3 - 35*w**3.\nAnswer: 252*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(288))\/sqrt(6))\/((sqrt(40)\/sqrt(4))\/sqrt(5)))\/((sqrt(96)*-1*-5 - sqrt(96))\/((-2*sqrt(48))\/sqrt(6))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8 = k + 9, -4*k + 5*r + 3 = 0. Let p(y) be the first derivative of -y**4 + 0*y**3 + 1\/2*y**k + y + 2. What is p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -1*(sqrt(76) + sqrt(76)*-2 - sqrt(76)))\/sqrt(4).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 589*p**2 + 3436*p - 36023. What is m(-583)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a1a1 (base 14) in base 11?\nAnswer: 19962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450716 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 25*s + 23. Let j(v) = v**2 + 12*v - 11. Let c(t) = -7*j(t) - 3*u(t). What is the smallest common multiple of 4 and c(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + c)*(4*c**2 - 2 + 2) + (0 + 2*c**2 + 0)*(4*c - 3*c + 0*c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 0 + 10 - 2*x - x + 7*x.\nAnswer: -3*x + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c**2. Let p(q) = 1251 - 1251 + 27*q. Determine h(p(g)).\nAnswer: 10206*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 54*m**3 - 11*m**2 + 34*m - 55. Is 10 a factor of i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198067 divided by 5?\nAnswer: -198067\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Suppose 9 = r*v - 3. Suppose -2*c = -5*y + 8, -2*c - 3*y = -v*c - 4. Is -2\/7 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.882684 months in years?\nAnswer: 2.323557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10974?\nAnswer: 2, 3, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -192a7a4?\nAnswer: 192a7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s + 16. Let i be y(17). Let z = i - -47. Let t = 0.18 - 0.48. What is the third smallest value in -0.1, t, z, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621 + 5 = 47*t - 3*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 2, b: 6, y: 1, v: 2, n: 7}. Give prob of picking 1 y and 2 v.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/3)\/i**(-8))**(6\/23)\/(((i\/(i*i*i*i**(-4)*i*i))\/i*i**(-1\/8))\/(i\/(i\/(i**(-6\/11)*i))*i\/(i*i*i\/(i\/(i*i**(-2\/17)))*i))) assuming i is positive.\nAnswer: i**(38949\/34408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(2 - 8 + 2)*(f + 0*f + 3*f)*(-3*f**2 - 2*f**2 + 2*f**2).\nAnswer: 96*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 111 - 4 = -u, -5*p = 2*u + 134. Let c = 106 - 61. What is the remainder when c is divided by ((-4)\/6)\/(p\/966)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1323, 16\/3391, 0.5, -0.04, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23729*n - 23731*n - 4*r = 10, -25 = 5*n + 2*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 93*k + 142. Does 13 divide m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176139918 a multiple of 507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/6*-2 + -1. Let p be 13380\/65 + 24\/156. Suppose 9*v + 8 - p = r. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 79*z + 33. Let l = -2111 + 2150. Calculate c(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/26726 and -173\/126.\nAnswer: 240534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11358 divided by 631.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t = m - 59*t - 32, -4*t = -4*m + 152. What is the highest common factor of 2540 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-118)\/(-354)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14463029.\nAnswer: 7, 337, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27045, -27038, -27027, -27012, -26993, -26970?\n\"Answer: 2*o**2 + o - 27048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44.995614 + 45.048. What is z rounded to 4 dps?\nAnswer: 0.0524","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -29639?\nAnswer: 29643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27743 is divided by 13871.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 291?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178055288?\nAnswer: 2, 4127, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, s: 9, m: 3}. Give prob of picking 1 g and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106642*u**6 - 83571*u**2.\nAnswer: 12797040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3\/7, 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.2 + -6.2. Which is the smallest value? (a) 5\/8 (b) -0.5 (c) -5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3032)\/(-24))\/(1\/(-18)*2). Let b = f - -2303. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f - 6*f = -12*f + 26*f + 1472 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/144 and 113\/996.\nAnswer: 11952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4855 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*o + 3*g, 2*o + 11*g - 16 = 7*g. Solve o*p = 7*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 2, q: 2, h: 2, g: 1}. What is prob of picking 1 y and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140 - -53. Let v = 99 + u. Solve -3*c + m - v = 0, 5*m - 2*m = -9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**5\/10 - 20*a**4\/3 - 119*a**3 + 882*a**2 - 3663*a. Factor f(x).\nAnswer: -2*(x - 2)*(x + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-300*x**5 + 257 + 158*x**5 + 139*x**5)*(1 + 1 + 0).\nAnswer: -6*x**5 + 514","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2738880*n**4 + 22*n**3 - 7385*n + 7513.\nAnswer: -32866560*n**2 + 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 15. Sort -0.5, a, -4 in increasing order.\nAnswer: a, -4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*g, 2*d = -g + 2*g - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 31. Solve 0 = 2*w - x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = 6*a. Suppose a + 27 = 3*v. Which is greater: 64\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 x when four letters picked without replacement from {m: 2, x: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -21\/19 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 109538036369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031120449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 23*u**2 - 241*u - 206. What is p(31)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3930 and 69641565?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/27 + 131\/297. Which is the smallest value? (a) f (b) -2 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 19*g + 468. Let h be n(33). Suppose f - 2*o + 6 = -0, 0 = -3*o + 15. Solve x - 5 = 4*v, x + 25 = -f*v + h*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -12. Suppose -3*v = -0*v + 3. Let l = v + u. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {s: 2, g: 1, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 12. Determine d(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 2*k**2 - 3*k - 4. Suppose 10*o = 12*o - 10. What is the remainder when g(4) is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4, -229, 4, 9, -104 in decreasing order.\nAnswer: 9, 4, -1, -4, -5, -104, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g, 2*g - 38 = 2*q - 64 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 + 1)*(x + 4*x - 3*x) - 4 + 4 - 3*x)*(-3 + 3 + x) + 4*x - 2*x**2 - 4*x + (-5*x**2 + 4*x**2 + 3*x**2)*(2 - 1 + 1).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-24)*(-10608)\/(-4862)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -15*i - 43 + 43. Let g(u) = u. What is g(v(y))?\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 8:44 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -443515 in descending order.\nAnswer: 3, 1, -443515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15365 rounded to three dps?\nAnswer: -0.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41365750 is divided by 38444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1499, -2999, -4499, -5999?\nAnswer: -7499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 389\/1380 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3411*l - 162949 - 113829 - 12299 - 34968 for l.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1425*z + 10*z**3 + 4*z**2 - 4*z**2 + 1452*z + 1478*z - 4357*z.\nAnswer: 10*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 6. Let i be k(4). Suppose -8 = -0*g - g. Let o be 1\/i*g\/2. Solve 3*t - o*t = 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3, -1 = v - 3*c. Find the third derivative of -15*w**4 + 18*w**2 + 10*w**2 - v + w**3 + 2 + 12*w - 20*w**2 wrt w.\nAnswer: -360*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2 - b. Let d be s(1). Let l(k) = -3*k + 2. Let y(n) = n. Let z(r) = 2*l(r) + 7*y(r). Determine z(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 1 - 7, 0 = 4*v + 5*m - 969. List the prime factors of v.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/1484730 and 43\/3807?\nAnswer: 1484730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 5. Let p = 82 - 84. Let s be i(p). Let x = 5.18 + -0.18. What is the second smallest value in -1\/11, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 148 = -22*c. Solve c*u - 5*a = 4*u, 2*a = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.1. Let h be ((-6030)\/8100 - (-2)\/(-36))\/(9\/5). What is the third smallest value in 0.3, h, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28379452 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from aaaaikikaaaki.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2, 26*l = 2*z + 30*l - 226. Let b = 116 - z. Let c(r) be the second derivative of -2*r**5\/5 + r**4\/12 - r**3\/3 + r**2\/2 + 4*r. Calculate c(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**5\/5 + 561*m**4\/4 + 1123*m**3\/3 + m - 3797. What is the third derivative of f(r) wrt r?\nAnswer: -24*r + 3366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l - 1. Let q(m) = -22*m - 20*m - 5 + 65*m - 18*m - 6*m**2. Suppose 0 = 5*z - 2*v + 112, z - 4*v + 23 = -3*v. Determine z*j(o) + 4*q(o).\nAnswer: -2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 295, -0.3, -4, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 6460.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 0*i**3 - i**3 + 0*i**2 + i**3 + 0*i**2 + (0*i + 0*i + i**3)*(2 - 2 + 2) - 8*i**3 - 18*i**3 - 17*i**3 + (-1 + 6 - 4)*(2*i**3 + 0*i**3 - 4*i**3).\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 13.60434 months?\nAnswer: 0.001133695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 92 - 10964. Let l(n) = n**2 + 13*n + 54. Calculate the remainder when l(-16) is divided by 4\/26 - j\/(-104).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1.1, -1\/5, 432\/11, 1\/198?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4223*-2.4\nAnswer: -10135.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10913, 10920, 10927?\n\"Answer: 7*q + 10906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/68*2*-3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2780, 2\/95, 3\/4, 0.4, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by (-436)\/(-8 + 4) + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 9*n + 20*n - 9*n - 8*n - 4*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 2. Let y be z(-7). Suppose -3*n + y = 0, 4*c + 7 + 2 = -5*n. Let k = c - -8. What is the remainder when 2 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 6*d + 12. Let u(i) = -3*i**2 - 7*i**2 + d*i**2. Let z(v) = -v. Give u(z(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 600*b - 23*b - 942*b**3 + 64*b - 2*b**2 - 42*b wrt b?\nAnswer: -5652*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -23\/3, 3\/2 in ascending order.\nAnswer: -23\/3, -5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.5 - 19.2. Let p = j - -4.69951. What is p rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 35.1283 weeks?\nAnswer: 21245595840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20367816?\nAnswer: 2, 3, 7, 41, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331999 is divided by 2198.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2\/(-3))*33\/11. Suppose -2*k + 125 = z, -u*k - 4*z + 313 = -z. Suppose 58*a - 56*a - k = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, p: 5}. Give prob of sequence peep.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-91) + (11577\/(-13))\/(-3). Let r = 135 + b. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -256107 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*f + 54 = 69*f. Let z(v) = v**2 + 7*v + 19. What is z(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -29 + 1. Find the common denominator of (148\/8)\/1 - 12\/4 and ((-3)\/26)\/(21\/i).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 0 (c) 9 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 12*m**2 + 1 + 7*m**2 - 8. Let h(w) = 2*w**2 - w**2 - 1 + 2. Let s(z) = a(z) + 4*h(z). What is s(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2377*h**3 + 64083907*h - 64083907*h.\nAnswer: 2377*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.108639 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -2*i**5\/35 + 3*i**4\/14 - 4*i**3\/21 + 73. Find o such that p(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 96\/11*s + 360\/11 + 6\/11*s**2 = 0.\nAnswer: -10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(((-18)\/100)\/9). Let u be 6\/4 + o\/4. Let p be (8\/3)\/(u\/3). Which is the smallest value? (a) -0.4 (b) 13 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9)*n\/n**4*(n**(-2))**(-16))**(-39))**(2\/13) assuming n is positive.\nAnswer: n**(-518\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 2)*(-90*c + 89*c + 484 - 62) to k*c + a and give a.\nAnswer: 1688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -2*p + 13, -181*p - 41 = 5*j - 179*p for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -12. Let i = u + 14. Which is the smallest value? (a) i (b) 2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9086, -18247, -27406, -36563, -45718, -54871, -64022?\nAnswer: -73171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20339*s**4 + 221*s**2 - 484*s + 5152.\nAnswer: 244068*s**2 + 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0237 + -0.3857. Let m = y - -0.062. Suppose 5*i + 31 = 5*n - 19, -2*n + 35 = -5*i. Which is the smallest value? (a) 5\/4 (b) m (c) i (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdgx when four letters picked without replacement from {x: 6, g: 1, d: 1, o: 3, s: 6, h: 1}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 6. Let o(l) = 352*l**2 + 54*l. Give o(r(n)).\nAnswer: 1408*n**2 - 8556*n + 12996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/70 + 72\/10. Calculate the greatest common factor of b and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (61 - 110) - (-2 - 54)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {v: 4, u: 5, h: 1, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 16. Is -19 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.219 + 1.219. What is the smallest value in 2, -1\/2, m, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47715 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 562 = f - s, 3*f = s + 1653. Let o = f - 327. Let i = o - 132. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*s - 95*s - 6*s - 6*s = 11100 for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 38911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 23. Let h = 24 + z. What is the remainder when h is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 14. Let t be -1 - (-1 + 19\/z). Let h = -1\/12 + t. Which is the second smallest value? (a) 3 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11268 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epss when four letters picked without replacement from eppmsssspspmspmmm.\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7825367 is divided by 19466?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 52*y**2 + 106*y - 85. Give c(50).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -1, 914.58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 + 1)*(4 + 1 - 6)*(2*y + y - 4*y)*(4*y**3 - 5*y**3 + 4*y**3).\nAnswer: 21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 481\/7 + -69. Which is the biggest value? (a) 5 (b) 8 (c) -0.3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81857 is divided by 13310.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952747976.\nAnswer: 2, 3, 17, 4786147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v + 6*v**2 + 0*v + 2*v**2 - 7*v**2 + 9. Suppose 5*i = 26 + 9. Determine t(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048292758 take away -179?\nAnswer: 179.048292758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 39*f - 296. What is l(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 5*u - 4. Let x be o(4). Suppose x*b = 2*b - g + 140, 8 = 2*g. Let q = b + 273\/4. Are 1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*v - 5 = 443 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 50329754.842238 - -0.9\nAnswer: 50329755.742238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 12. Let j = 28 - 10.8. Let f = q - j. Round f to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 4 - (0 + -17 - -33)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 15\/9)*((-26 - 3) + 30).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 369*i**2 + 831*i - 33005. What is p(371)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1841*g - 3*c - 3 = 1838*g, 6 = 4*g - 3*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42737132 to the power of 1\/2, to the nearest integer?\nAnswer: 6537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 times 4?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v - 57. Let h be n(-15). Let s = -100 - h. Let m(x) = -x**3 + 15*x**2 + 33*x + 21. Let i be m(s). Solve i*l = -0*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7047 to the nearest 100.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:19 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/6 - 3\/9. Suppose -7*q = -5*q, -2*q + 7 = j. Let w = b + j. Solve -3*g = 13 - w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14952+0.3\nAnswer: -14951.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**2\/2 - 21. Give t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1778 + -47160?\nAnswer: -45382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 302 - 62 = 0. Suppose -5*q - 452 = 238. Let w = d - q. What is the greatest common factor of w and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Suppose 0 = n + 4*l - 12, 0 = 4*n - 2*l + 4 + 2. Suppose n = -4*u + u + 5*m + 6, 2*u = 4*m + 4. Let v(i) = u + 4*i**2 - 2. Determine o(v(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 e, and 1 p when four letters picked without replacement from bnppipnbebenwnb.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6\/7)*q**7*q*q\/q**(7\/9)*q**(1\/5) assuming q is positive.\nAnswer: q**(2383\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-95)\/(-2) - 3\/(-6). Let s be (-1*(242 - 0))\/(-2) + -1. What is the highest common divisor of s and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21648 divided by -82.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/115 and -31\/85.\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d**2. Let j(n) = 7*n. Give j(w(v)).\nAnswer: -77*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -24, -42, -62, -84, -108, -134?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*u - 67 - 59 - 45. Solve -u*k + 2*v - 4*v = 5, -4*k - 4*v = 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + 2\/2. Let j be 5 + ((1 + -3)*1 - (2 - 4)). Solve -c + u = j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 8. Let w be c(3). Solve w*r + r + 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 990173880?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from {x: 5, v: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -42*g + 123. Calculate b(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 bigger than -362843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2495 + -0.12\nAnswer: 2494.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 + 0 + 0)*(1 - b - 1) - 22*b**3 + 5*b**5 + 22*b**3 + (-5*b**3 + 4*b**3 + 2*b**3)*(0*b**2 - b**2 - b**2) + 6667*b**2 - 26*b**5 - 6667*b**2.\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 35166336?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 + -13 - 17 - (-3 + -1)) + -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let l = -0.3 - -1.5. Let i = l - 1. What is the closest to 0 in 0.5, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:39 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 33. Let p be h(-31). Which is the closest to 0? (a) 0.05 (b) 1 (c) p (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2078 + -4158. What is z rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**3 + 19*x**2 - 39*x + 183. What is q(7)?\nAnswer: -1217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128687 is divided by 711.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -567067 or -565765?\nAnswer: -565765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 215 - 245. Solve t - 10 = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, e: 1, a: 1, d: 1, r: 4}. What is prob of picking 1 v, 1 r, and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryekeykkryeyrr. Give prob of picking 2 r and 2 y.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 395 and 1535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g + 28 = 0. Solve -16 = 2*w + 2*f, -5*f - g = -2*w + 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8208\/7020 + (-21)\/15.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28590 (base 14) in base 6?\nAnswer: -2050242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 836 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96482 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 5. Let a(c) be the third derivative of c**3\/6 + 5*c**2. Calculate -6*a(w) + i(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(14\/4)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**3 - 2*u**2 - 7. Let l(f) = -8*f**3 - 2*f**2 - 8. Suppose 0 = -0*c + 5*c + 425. Let h be (-17)\/c - 26\/5. Give h*l(q) + 6*w(q).\nAnswer: -2*q**3 - 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 225*c**2 - 15398*c + 119. Give t(-55).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110374953841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384814041 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 + 0*n**2)*(0 - 1 - 1) - n**2 - n**2 + 3*n**2 + 2*n**2 - n**2 - 2*n**2 + 38*n**2 - 24*n**2 - 23*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -13.5\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1065)\/(-17395))\/((-33)\/22)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3 - 2 + 8*w - 1.\nAnswer: 8*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5959, 5959, 5957, 5953, 5947, 5939?\n\"Answer: -z**2 + 3*z + 5957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-21) + 14261260\/70. Let k = -132619 + u. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 5*u**2 + 8*u - 9. Let r be w(6). Let n(h) = 2*h**2 - h - 4. What is n(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/(b\/(b**2\/b)*b))\/((b*b**(-6))\/(b\/b**3))*(b*b**4\/b*b\/b**1)**(-29) assuming b is positive.\nAnswer: b**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63298086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2*(-1416)\/59)\/(17\/(85\/10)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, h: 2, p: 4, f: 7}. Give prob of picking 3 f and 1 q.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 1. Let k(y) = 66*y - 11. Calculate -k(i) + 11*w(i).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*n - 395607 = 117*n + d, 0 = 2*n + 4*d - 395602. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-38)*(k**(1\/2))**(-18) assuming k is positive.\nAnswer: k**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.261746 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 419585247.39401085648675 + 84.60598804351325. Let n = z + -419585313. Let h = 19 - n. What is h rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Suppose -5*w - 3*h - 14 + 259 = l, 2*h = 3*w - 166. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*i**3 + 51*i**3 + 49*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:18 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 8.04. Let t = 0.03989 - i. Round t to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 19. Suppose -o = 5*m - n, 25 = 4*m + 4*n + 5. Suppose v + v + 5*x - 41 = m, 2*x + 7 = v. Solve -2*y - y = 5*j + v, y = -3*j - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*x + 274 = 0, -10*g = -5*g - 3*x - 464. Calculate the remainder when g is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -590 and 0.9.\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -269 - -1619\/6. Factor -1\/3*o**2 + 5\/6*o**3 + 1\/3 - n*o.\nAnswer: (o - 1)*(o + 1)*(5*o - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 13*d + 17. Calculate the lowest common multiple of 2 - 4 - -9 - -2 and j(12).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 5*g + 4. Let y be o(-4). Let q = 0 - y. What is the units digit of -1 + 4\/2 + q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51924.65mg to kilograms.\nAnswer: 0.05192465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -208 - 874*y**3 + 1753*y**3 - 877*y**3 - y as m*y**2 + r*y**3 + j*y + h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2455.\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 9 - 5 = 4*k, 5*p - 43 = 3*k. What is the tens digit of (670\/15)\/((-4)\/k) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 8. Suppose -36*g = 18 + n. Does 3\/215 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1836) - sqrt(1836)*3) + sqrt(1836) + sqrt(1836))\/(sqrt(132)\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 3*k**3 - 105*k**2 - 52*k + 26*k + 26 - 26.\nAnswer: -3*k**3 - 105*k**2 - 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t**2 - 13*t**2 + 3*t**2)*(4 - 4 - 1)*(1 - 4 + 2) to the form z + v*t**2 + k*t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 15942.\nAnswer: 15942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 26. Put -3, 0, o in decreasing order.\nAnswer: 0, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -202, -146, -58, 68, 238?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 3*y + 16 = 4*x, -y = 3*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8342237, -8342231, -8342221, -8342207, -8342189, -8342167?\nAnswer: -8342141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9193*i - 2266. Let z(g) = -248220*g + 61170. Let j(o) = -55*r(o) - 2*z(o). Find the first derivative of j(w) wrt w.\nAnswer: -9175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 140*a - 560. Let l be d(22). Calculate the common denominator of (-4)\/(-10)*2175\/l and (-10)\/4*(-1)\/(-4).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 231366.73 and 0.04?\nAnswer: 9254.6692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7668)\/639 - (0 + (-126)\/11)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - -8. Calculate the least common multiple of (a\/5)\/(21\/28) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3312*w - 2116*w - 194760 = 7556*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 24*r + 23*r + 5 = 0, 3*r - 15 = 4*z. Suppose -2\/5*j**2 + 8\/15 - 2\/15*j**3 + z*j = 0. Calculate j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101222 (base 3) in base 6?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(252) - sqrt(252)*2)*-5 - (0 + sqrt(112)*-2 - 4*(1 + sqrt(112))))**2.\nAnswer: 432*sqrt(7) + 20428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -433*v - 880. Give l(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*g = -17621, -3*s + 5*g + 2145 = -11097. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13749264 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602739 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/300 and 59\/1020.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 269127660*i - 6035808114756300.\nAnswer: -3*(i + 44854610)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*u - 1 - 49 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487\/6 + -4801\/60. What is the common denominator of (27\/(-30))\/1 + -37 + 35 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 189 = 97 + 34. Calculate the highest common divisor of o and 3760.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91.4 + -1.6. Let y = -112.9 - i. Let m = y + 19. Round m to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/d**(1\/6))\/d)\/(d*d\/d**1))**(-12))**(-12\/7))**(-43) assuming d is positive.\nAnswer: d**1032","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111022755 + 11*z**3 + 111022755.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**3\/2 - x**2 - 2*x. Calculate the remainder when (29\/(580\/(-360)))\/(-1 - 1) is divided by f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23104 and 150784?\nAnswer: 2864896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 23 + (-226 - -213)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/35)\/((2\/(-2))\/21)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.40088 + 0.20088. Is 0.817 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6) - (-4)\/((-168)\/15). Let v = -40 - -42.1. Let s = v + -0.1. Is s at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 6*k**3 - 7*k**2 + 20*k**3.\nAnswer: 13*k**3 - 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.27, -14, -2\/3, 3\/5.\nAnswer: -14, -2\/3, 3\/5, 1.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2299161 is divided by 328450?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:27 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 5*m = -67 + 46, 0 = f + 3*m + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 - 1018 = -84*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*x = 366*x - 846. Which is smaller: 126 or x?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 329 + -126689?\nAnswer: -126360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0 + 30 = 4*x, 3*x - 5 = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 114*h - 28. Let n be w(2). Suppose -9*c + n = -8*c + 3*b, -3*c - 3*b + 576 = 0. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1049*l**5 - 663*l**2 - 2*l wrt l?\nAnswer: -62940*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 2*a + 4*a - 18 = 0, 0 = 57*o - 53*o + 3*a - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -15. Suppose v = -n*v + 48. Suppose o - 7 = p + v, -85 = -5*o - 5*p. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14711 = -15*t - 33*t + 116087. Calculate the highest common divisor of t and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-0.11.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 t when three letters picked without replacement from tutttttttttttttttttu?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6979 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3\/q**32)\/(q**(3\/2)*q)**(11\/4) assuming q is positive.\nAnswer: q**(-287\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5522 = -3*v - 9251, 0 = 4*v - 4. List the prime factors of s.\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 + 3*w**2 - 183. Determine u(5).\nAnswer: -733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z + 16 = -29*z, 6 = -2*s + 4*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 217 (base 13) to base 16\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*n + 16, 0 = -5*n + 4*n - 2*i. Sort 14, 4, n in increasing order.\nAnswer: n, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 1. Let q(s) = -15 + 8*s + 15. Let h(y) = -4*c(y) + q(y). What is the units digit of h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.8 (b) 6 (c) 9 (d) -85 (e) -4 (f) -2\/3 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1614595?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - 19 - -9) - -23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 17.85 (b) -0.3 (c) 2 (d) -5 (e) 0.055 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -482*j**4 - 221*j**2 - 27087*j + 11?\nAnswer: -5784*j**2 - 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let s(f) = -22*f**2 - 17. Let b(a) = 143*a**2 + 110. Let p(q) = -5*b(q) - 33*s(q). Determine p(l(z)).\nAnswer: 44*z**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*d + 8 = 0, -3 = -d - 0*d. Let c be (1 - -2)\/9 + (-22)\/(-6). Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 375*b + 388*b + 22.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/136 and 6\/119?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 72178807 to the power of 1\/2, to the nearest integer?\nAnswer: 8496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 139 + 0 + 6\/(-2). Suppose 5*j = v + 339. Suppose -2*m = j - 853. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2738, -2737, -2736?\n\"Answer: x - 2739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3366240, 13464932, 30296094, 53859732, 84155852, 121184460?\nAnswer: 164945562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*a + 279 + 3 = -57*a + 137*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 231?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*-1*(-12 + 12). Suppose -5*n + 104 = -d*s + 3*s, -n = 3*s - 112. Calculate the remainder when s is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/5 + 874*k\/5 - 190969\/5 = 0.\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c + 334 = 0. What is the common denominator of -13\/8 and c\/(-60) + (-10)\/(-15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 + (-10)\/(-4). Let d be (5\/(-5))\/((-2)\/2). Let t = l + d. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/516 and 29\/3834.\nAnswer: 329724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1914753138 + 3*l**3 + 1914753138.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-9)*1\/((-5)\/3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4835 + -4833. Let x = 11 + -8. Sort -4, -2, x, b in decreasing order.\nAnswer: x, b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -682.41 and 0.5.\nAnswer: -341.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a factor of 849451218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 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 = -3.1 - 1.9. Let v be 1\/(-1) - (-24)\/15. Let m = v + -14\/15. Which is the smallest value? (a) m (b) f (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:19 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.266*-3.1632\nAnswer: -0.8414112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1302232?\nAnswer: -1302232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.46 - -2.8. Let y = 0.26 - w. What is the smallest value in y, -1, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/2*4\/3. Let k(f) = -f**2 + 14*f - 11. Let c be k(13). Factor 0*n**2 - c*n**2 - 2*n**4 - 2*n**4 + b*n**4.\nAnswer: 2*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l + 3 = -35*l. Let j be l*5\/(-80)*-6. What is the fourth smallest value in j, -5\/3, -2\/15, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l. Let u be k(-3). Suppose s + u = 8. Let h be 25\/((1 - 2)\/s). Solve 5*q + 3 = -3*v - 7, v - 4*q = h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 534970 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1278, -5104, -11460, -20334, -31714?\n\"Answer: 2*u**3 - 1277*u**2 - 9*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8121*y + 56852. Let b be q(7). Factor 1\/2*m**4 + 0 + 1\/4*m**b - m**3 - 1\/2*m**2 + 3\/4*m.\nAnswer: m*(m - 1)**2*(m + 1)*(m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-5 + 38\/8). Is 6 a factor of 9\/(-6) + (h - (-586)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-5))\/(1 - (-18)\/(-15)). Let x be 5\/(-15)*-3 + c. Solve -o + 1 = g - 1, 0 = -2*g - x*o + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105040*q**3 - 3582 wrt q?\nAnswer: 315120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 - 10*z + 23. Let q(o) = -o**3 + 6*o**2 - 9*o + 20. Let v(n) = 7*q(n) - 6*y(n). Let m = 12 + -1. What is the tens digit of v(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 4. Let w be 4\/14 + (-120)\/(-21). Suppose -w*v - 24 = -2*v. What is k(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1909289?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 714642400 to the power of 1\/2, to the nearest integer?\nAnswer: 26733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4480970*z**3 + 2*z + 2605216?\nAnswer: 26885820*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g**3 - 2*g**3 + 17*g**3 - 2*g**2 - 6*g**2 - 7*g**2.\nAnswer: -3*g**3 - 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -i - 0*g - g, 15*i - 9*g = 19*i - 38 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(108) - sqrt(108)) + sqrt(108) + sqrt(108) + sqrt(108))\/sqrt(9))\/(sqrt(4) + sqrt(4) + (-1*sqrt(36) - sqrt(4))).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700996174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/(-24))\/(8\/(7 + 770561))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.57 centuries?\nAnswer: 1884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/((8 - 14)*(-10)\/(-1052955)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b + 0*b**3 + 8 - 6*b**2 + 2*b**3 - b**3. Let o be -44 + (60 - 20) + 33*(-1)\/(-3). Give q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 i when four letters picked without replacement from dddiuii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**3 + 114*s**2*y**3 - 140*s*y**3 - s*y**2 - 3*y**2 wrt s.\nAnswer: -12*s + 228*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(20)\/(sqrt(16)\/sqrt(4))) + (sqrt(17) + 1)*4 + 3.\nAnswer: 7 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/17, -0.5, -4.1, 1\/14, -0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2371\/8 - -300. Let x = -2911\/171342 - -3\/167. Let q = 5558\/513 - x. Calculate the common denominator of q and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83391466.7 + 9.\nAnswer: 83391475.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 611606028 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -597650*c**2 - 2390516*c + 336.\nAnswer: -2*(c + 4)*(298825*c - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2643804*y**3 - 5287672*y**3 + 2643890*y**3.\nAnswer: 22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122881 is divided by 1007.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2566465 - 2566465 - 8*u**2 - 3*u. Let f(p) = 5*p**2. Calculate f(r(q)).\nAnswer: 320*q**4 + 240*q**3 + 45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3000140?\nAnswer: 2, 5, 11, 13, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**5 + 52*k**4 + 420*k**3 + 684*k**2 = 0.\nAnswer: -3, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -204013 (base 6) to base 14\nAnswer: -5db3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96\/25 or 5?\nAnswer: 96\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54673.\nAnswer: 54673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4 = 4*i - 4*q, -12 = -i + 3*q. Solve 4*v - 142 + 158 = i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4244*k**2 - 4240*k**2 + 61 - 61.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 1691440234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/6 - g**3\/6 + g**2 - 1. Let k(l) be the second derivative of t(l). Let m be k(-1). Solve 0 = u + m - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146941 + 146942. Let z(m) = 35*m**3 - 5*m**2 + 9*m - 2. Let l(o) = 18*o**3 - 3*o**2 + 5*o - 1. Let h(j) = -7*l(j) + 4*z(j). Give h(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/95)\/((765\/(-150))\/17)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 3*x = 2*t + 22, -2*x = -4. Suppose t*w - 281 = 51. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2004 + -114. Suppose -13*a - b = -20*a. Is 54 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 2*d**2 + 5*d**2 + 0*d**2. Let s(l) = -l - 2. Let b(f) = 14*f + 20. Let h(i) = -b(i) - 10*s(i). Give c(h(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -559632*v**6 - 8*v**2 - 7532*v - 1?\nAnswer: -67155840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 132. Let k be q(33). Let j = -198 - k. Solve -4*u + 4 + 0 = j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -22. Let i(p) = 2*p + 22. Let g be i(o). Suppose -5*q - 75 + 561 = g*y, 5*y - 15 = 0. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(((-1)\/(-1))\/5). Solve 2*f + 2*f + 4*r + 28 = 0, p*r + 21 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28154 (b) 2 (c) 2\/5 (d) -5\/8 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, -453.3, 13 in decreasing order.\nAnswer: 13, 1.7, -453.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 6:02 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ogwgwogwogooowg.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.45 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**2*p)*p**(-3\/2)*p**(2\/11)*p\/(p\/((p**(-2\/11)*p)\/p)*p*p)*(p**(-3)*p\/(p\/p**1))**0 assuming p is positive.\nAnswer: p**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b + b + b + (-3*b - 2*b + 3*b)*(0 - 2 - 1) + (0*b + 0*b + b)*(6 - 4 - 1) + 3 + 2*b - 3 in the form y + v*b and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/21 - 54902*t\/3 - 256212\/7.\nAnswer: 2*(t - 192159)*(t + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(7\/2) + 30\/18. What is the smallest value in m, 24, -2\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7477 is divided by 481?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 31*h**3 - h**2 + 3*h. Let p(m) = 61*m**3 - 2*m**2 + 5*m. Give -6*p(w) + 10*u(w).\nAnswer: -56*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r\/r**13*r)*r*r)\/r*r\/(r*r**(-5)*r*r))**(2\/25) assuming r is positive.\nAnswer: r**(28\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*6\/(-9)*26 + -4. Let d = l - -2. Suppose 3*a = 2*a + d. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 2)\/(2\/122). Let r = -41 + l. Let c = 21 - 10. Calculate the remainder when r is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 11:33 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let y be u(4). Let q = y - 1. Suppose -q*n = -n. Solve n = 5*l, l + 4 = -3*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -16. Suppose -4*g - 3*f - 1 = 0, -2*g + 4*f + 16 = -i*g. Suppose -4*l + 41 = 9. Calculate the greatest common divisor of g and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 1 = 0. Let a(u) be the first derivative of -p + 0*u - 1\/2*u**2. Let r(t) = -4*t**2. What is r(a(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 7:41 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 11) to base 4.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 10 + 28. Let x be (-22)\/k - 2\/3. Let v(m) = -m**3 + 2*m**2 - 2*m - 1. Calculate v(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**2 - 99 - 373*o**3 - 172 - 322*o**4 + 372*o**3 wrt o.\nAnswer: -7728*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 19*l**2 + 10*l + 8. Let o be f(10). Solve 5*a = o*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4256\/5*r - 23104\/5*r**2 - 196\/5 = 0.\nAnswer: -7\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 337*a - 347*a - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9092*i*m**2 - m**2 - 2*m + 459 wrt i.\nAnswer: 9092*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5 - 3*v + 9 + 2*v - 5. Let f(h) = h**3 + 7*h**2 - 7*h + 9. Let u be f(-8). Let g(a) = -a**3 - 6*a - 6. Determine u*g(w) - 6*j(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -546667, -546758, -546849?\nAnswer: -546940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-12)\/(-9))*-12. Suppose v + 99 = 5*v - 5*r, -f*v - r + 105 = 0. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**5\/60 + 5*w**4\/24 - w**3\/3 - 30*w**2. Let x be h(3). What is o in 12*o - 2*o - x*o - 3 - 3*o**3 - 3*o + 3*o**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10748.732945 + 144.7\nAnswer: 10893.432945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - w + 1. Let x(a) = -a**2 - a - 1. Let g(f) = -t(f) - 2*x(f). Calculate g(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -192708 - -192764. Let c be 0 - 0 - (-44 - 0). Calculate the greatest common divisor of c and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 12*d - 17. Let y(g) = -2*g**2 - 23*g - 34. Let x(m) = -5*i(m) + 3*y(m). Let p be x(-3). Solve 0 = -v + p - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 6*x - 15\/2*x**2 - 3*x**3 + 9\/2 = 0.\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10495, -20964, -31433, -41902, -52371, -62840?\n\"Answer: -10469*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -8. Suppose -2*m - 3*z + 27 = -97, -z = r. Suppose 0 = a - g - 11, 4*g - 6*g = 5*a - m. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4532 - 6055?\nAnswer: -13620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2118, 2103, 2064, 1989, 1866?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -646 - -759. What is the remainder when u is divided by 47?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - ((-6)\/16 + (-34493)\/136).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1204740 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4 + 42*g - 21*g - 32*g - g**2. Let n be w(-11). Is 2 + 849 - (4 + n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1669049163 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 24 = -30. Let v(t) = i*t + 1984 - 1984. Let a(m) = m**2 + m. Let z(x) = 17*x**2 - 4*x. Let f(r) = 4*a(r) + z(r). Give f(v(g)).\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 33.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011011100010011 - -101?\nAnswer: 11011011100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36208.47909 and 3082.3.\nAnswer: 39290.77909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybndnjbnbyjn. Give prob of sequence dy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 5:37 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 12. Let n = 30 + -36. Let p be u(n). What is the tens digit of 2 - -82 - p\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 354, 830, 1624, 2736?\n\"Answer: 159*a**2 - a + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, -1, 20 in increasing order.\nAnswer: -1, 2, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13210, -13088, -12964, -12838, -12710, -12580, -12448?\n\"Answer: k**2 + 119*k - 13330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 25 - 25 - 18 = -f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -39. Let d = 10 + n. Suppose -3*x + 41 = -4. Calculate the remainder when d is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*n**5 + 3*n**4 - 953092*n**3 - 49512277*n.\nAnswer: 740*n**3 + 36*n**2 - 5718552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 minus -12993016783?\nAnswer: 12993016783.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-4*(-5)\/(-27740)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 + 6*f**3 - 3*f**3)*(-3*f**2 + 5*f**2 - f**2) - 43*f**5 - f**5 - 9*f**5 - 4 + f**5 - 4*f**3 + 4.\nAnswer: -53*f**5 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 14*i + 45. Let c be r(-3). What is the third derivative of 24*a**3 - 12 + 12 - c*a**2 - a - 96*a**2 wrt a?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 353*y**2 - 132*y**2 + 1 - 116*y**2 - 24*y. Let z(p) = -2*p**2. Determine x(z(o)).\nAnswer: 420*o**4 + 48*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(19) + sqrt(76))**2 + -2*sqrt(304))*-5.\nAnswer: -840 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1776.4576 - -1748.45. Let a = 28 + o. What is a rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/3796 and -107\/876.\nAnswer: 11388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3133571 to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*s + 361*s + 17 = -5*b, 26 = 2*s - 5*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1910 divided by 955\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 11 + -8 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1517054712.\nAnswer: 2, 3, 1259, 50207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 8:20 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -538 + 538. Which is bigger: s or -14.9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90740 or -90742?\nAnswer: -90740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 - 21*y**2 + 12*y**2.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsqsbgsqqsssbssgqs. What is prob of picking 2 q and 2 s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -47 - -54 - (2\/2 + -480) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 6*l**2 + 4*l**2 + 2*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 7*q**2 - 2*q - 13. What is g(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1829 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u**2*u))\/u*u*u**(2\/11)*u*u*(u**1)**(7\/5))\/(u**(-6)*u*(u*u**(-5\/2))\/u*u\/(u*u*u*(u**1*u)\/u)*u*u\/(u*((u**1\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(779\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 290*p + 277*p - 268 - 565*p + (-6*p + 4*p + 0*p + (-3*p + 3*p - 4*p)*(2 + 0 - 1) + 2*p + 0*p - p)*(0 + 0 + 2).\nAnswer: -8*p - 268","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 618 and 37803.\nAnswer: 23362254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 999636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12533, 25065, 37603, 50147, 62697?\nAnswer: 75253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -16059 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 790727 and 10535?\nAnswer: 27675445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 19, 31, -5, -3\/8, 2\/17, -19?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -628\/5 - -126. What is the closest to 0.2 in -0.2, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(10)\/sqrt(5) + -5)*-3 + -4 + -4*sqrt(72))**2.\nAnswer: -3564*sqrt(2) + 9474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98*3.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4\/7 + 80*t**3\/7 + 580*t**2\/7 + 1800*t\/7 + 288 = 0. Calculate t.\nAnswer: -7, -6, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3701 + -3698. Solve -29*m + 33*m + z*h = 26, 4*m - 16 = 2*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01729043 and -0.05.\nAnswer: -0.0008645215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2299900 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 26*a. Let v(g) = -27*g + 12. Let i(o) = 51*o - 21. Let w(t) = 4*i(t) + 7*v(t). Calculate m(w(z)).\nAnswer: 390*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 123034177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6477170363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6322 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615870883.\nAnswer: 17, 19, 29, 37, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -293484 + 4?\nAnswer: -293480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266740576.\nAnswer: 2, 8335643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*o + 95, -c + 0*o + 115 = -2*o. Suppose d + 4*j + 23 = 0, 7 + 7 = -3*d - j. Calculate the remainder when c is divided by -10*d*3\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 7) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3.5. Let x = -9890 - -9887. Let m = 2 + -2. What is the closest to m in -0.2, x, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/10)\/((-4)\/10). Let c be 980\/(-294)*3\/(-5). Solve 0 = -o*s - c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + x**3 + 4*x**3)*(3 + 1 - 3)*(11*x - 5*x - 4*x).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1535424 + -1535463.99954. Let l = 40 + y. Round l to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 42\/5 - 3\/(-5). Solve -c*n + 5 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3792 and 487272.\nAnswer: 974544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/30090 and -19\/60180.\nAnswer: 60180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1185 - 1184.6. Which is the closest to 0.4? (a) 1.5 (b) -1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2727155310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8*10\/20 + 14)\/(-2). Which is the second smallest value? (a) 2\/9 (b) 0.4 (c) v (d) 6 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 12*f + 1 = 15*f, 5*c = -4*f + 71 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -25 - 5 - (1 + -3) - 36\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -11, -5, 5, 19, 37, 59?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950*u = -896*u + 1242 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7*b + 6 = -5*b, 0 = 2*b - 6. Suppose -k - o + 7591 + 5504 = l, 13091 = k - o. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q - 76 = 0. Let b = 15 - q. Let h be -3 + (-1)\/(b\/40). Solve m + 2*d - 3 = 3*d, -3*d - h = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 1. Let k(j) = 3*j + 3. Let i(l) = 4*d(l) - k(l). Suppose 0 = -h - 0*h + 20. Suppose h = y - 5*y. Calculate i(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**6\/h*h*(h*h**10)\/h)\/(h**(3\/4))**(-15) assuming h is positive.\nAnswer: h**(113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47981701*o**3 - 3782*o**5 + 47981701*o**3 + 2823*o**2 wrt o?\nAnswer: -226920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 - 22*m**2 + 82*m + 102. Let d be k(7). Solve d*x = 289*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 + -159. Suppose 2*o - 10 = -z, -2*z - 2 + 6 = 0. Let c be 1\/o + (-15)\/(-4). Calculate the greatest common divisor of k and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a36 - c?\nAnswer: a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(245) + 0)**2 + sqrt(245) - sqrt(245))*6)*3.\nAnswer: 4395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.4 - -11. Let p = 29\/2926 - 1062183\/152152. Let l = p + 57\/8. What is the second smallest value in f, l, 5\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2 - 5*x - 2. Let v(n) = 4*n. Let u = -6 + 3. Let f(p) = u*t(p) - 4*v(p). Let h(o) = -3*o. Calculate h(f(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1722636\nAnswer: 5\/1722636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*y + 2, 2*y - t = -2*y - 12. Let o = 2 - 6. Sort o, 0.5, y in descending order.\nAnswer: 0.5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(12*76\/1710)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*o - 8 + 7 = 0, 4 = 2*l + 2*o. Let v(h) be the second derivative of 0 + 3*h**2 + 11\/2*h**4 + 15\/2*h**l - 9\/4*h**5 - 19*h. Factor v(f).\nAnswer: -3*(f - 2)*(3*f + 1)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*2*-4.\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (1 + sqrt(176) + sqrt(176)*-1) - (sqrt(176) + 1 + sqrt(176)*1))**2 + -5 - (3 + (5*(sqrt(176) + -1)*5)**2).\nAnswer: -110453 + 5016*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (4 - 13 - 1) - (13 - -112)?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(2*n - 5*n + 0*n) - n + 0 + 0 + (-1 - 1 + 4)*(2*n + 3*n - 7*n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.1 (b) 0.3 (c) -0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2730\/(-56) + 49)*-16*(-1)\/(-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 6*f + 3*f + (-3*f - f + 3*f)*(3 + 1 - 6) + 4*f - 2*f - 3*f + 3*f + 0*f + 0*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*n = 51*l - 3*n - 477, 3260*l - 4*n = 3254*l + 30 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 289100*g**2 + 4178651385*g - 8358459210.\nAnswer: 5*(g - 2)*(g + 28911)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a2131 + -71?\nAnswer: a2080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1090989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2377\/5 - 475. Let t(h) = h + 1. Let y be t(-1). Let l(q) = q**3 - 4*q**2 + 3*q - 3. Let p be l(3). What is the nearest to s in p, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9}. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -33?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 9. Suppose -150 + 565 = 83*o. Suppose 3*u - 2 = -5. What is the closest to u in -3, b, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, c: 2}. Give prob of picking 1 c and 2 m.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 254897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3\/10 + 81*q**2\/2 - 20604*q\/5 + 20402\/5 = 0.\nAnswer: 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:15 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 430 - 1894 = 0. Let f = -178 - i. Solve d + 0*d = -f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r + 2*r**2 - 7*r**2 + 7*r**2 + r**3 + 4*r**3 to the form t*r + u*r**2 + i*r**3 + c and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqqm when four letters picked without replacement from mgggqqgggggm?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10391 + 2?\nAnswer: 10393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 - -8.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = x + 5, 0 = -4*f + x - 15. Suppose 3*m - 15 = 8*m. Sort -4, f, m in increasing order.\nAnswer: f, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(33) - sqrt(165)\/sqrt(20)))\/(5*((sqrt(11) - sqrt(539)) + sqrt(11))) - (sqrt(108) - sqrt(108)*-2)\/(sqrt(4) + 6*sqrt(24)\/sqrt(6)).\nAnswer: -471*sqrt(3)\/350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 711018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)*v**31 assuming v is positive.\nAnswer: v**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 731*f**5 - 1209*f - 128 - 726*f + 128 wrt f.\nAnswer: 14620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26d152 (base 15) to base 4.\nAnswer: 13013232311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 256*a - 132*a - 125*a. Let c(h) = 5*h - 25. Let x(q) = 2*q - 13. Let m(g) = 4*c(g) - 9*x(g). Determine m(z(d)).\nAnswer: -2*d + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4255 - -1?\nAnswer: 4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 103 - -60) + 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 194 - 4*b**2 + 194)*(5*b**2 - b**2 - 2*b**2 - b**2 + 2 - 2 + (-b + b + b)*(0 - 2*b + 0) + 2*b**2 + b**2 - 4*b**2 - 4*b**2 - b**2 + 3*b**2).\nAnswer: 16*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20 = -2*w, 4*w - 5*w = 5*i + 8. Solve y = -w + 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3, 4, -2\/17, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/5 (b) 5 (c) 0.08 (d) 98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 7*r**2 - 5*r + 7. Let l be i(-5). Let v = l + 23. Let u(p) = p**3 - 5*p**2 - 2*p + 5. Determine u(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -2\/15, 298, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -100*m + 1 + 51*m + 53*m - 2. Calculate a(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*i - 2. Suppose -16 = 5*r + 29. Let l = r - -10. Which is greater: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*d**2 - 115*d - 212*d**2 + 115*d - 260*d**2 in the form u + c*d**2 + s*d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(68) - (-4*-1*sqrt(68) + sqrt(68))) + (sqrt(68) - (sqrt(68) - -6*-1*sqrt(68)))))\/((sqrt(196) - sqrt(196)*-1*5)*-6).\nAnswer: sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-13)\/(-130)) - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*w**3 - 1407135*w**2 - 73864250.\nAnswer: 42*w**2 - 2814270*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1167317\/105324 - 2\/8777. Let h be 2\/(-5594)*(-2)\/1. Let s = h - -120231\/55940. Calculate the common denominator of s and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*h + 33, -20*s - 3 = -25*s - h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*sqrt(132))\/sqrt(3) + 2*sqrt(1584)).\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-217638)\/(-303291) + 34\/(-799) + 2\/(-3)?\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/3, 1, -8, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 13*a**4\/4 - a**3\/3 - 78. Calculate y(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 12) to base 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m + 0*m - 2*m)*(-2*m + 6*m - 3*m) + 4*m**2 - m**2 - m**2)*(3 + 3*m**2 - 3).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 36282791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 7. Let r be b(7). Suppose 2*o + 1 = -z, 15 - 3 = -4*o. Suppose -20 = -0*p - z*p. Solve -2*j = -r*j - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-17)\/((-68)\/6820) + 2*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73.6 + -67. Let n = i - 6.59971. Round n to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 6*j**2 - j + 4. Is 15 a factor of z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2. Let r(w) be the second derivative of w**7\/504 + w**4\/3 + w**3\/6 - 2*w - 7. Let q(u) be the third derivative of r(u). Determine k(q(c)).\nAnswer: -75*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*m**3*t**4 - 8*m**3*t**2 - 43*m**3*t - 21*m*t**4 - 3*t wrt t?\nAnswer: -456*m**3*t - 504*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -d - 1, -2*d + 35 - 27 = -5*k. Let g be d + (-98)\/7 - -7. Suppose 4\/3 - 1\/3*z**g - 4\/3*z + 1\/3*z**3 = 0. What is z?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34365279 - 0?\nAnswer: 34365279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cttct. Give prob of picking 3 t and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (7 + 14 + 4 + -7 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30648677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17044 + 31325. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -18*i**5\/5 + 1713*i**4\/5 - 39042*i**3\/5 - 75963*i**2\/5 - 7038*i = 0.\nAnswer: -1, -5\/6, 0, 46, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 19 + 23. Let r be (-2 + (1 - -2))*-3. Put r, 5, l in increasing order.\nAnswer: r, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/143 and (3 + (-188)\/60)*(-530)\/(-8).\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3526250*b**2. Let v(q) = 2*q**2. Determine a(v(y)).\nAnswer: 14105000*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109828102 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7310, 7355, 7456, 7643, 7946, 8395?\n\"Answer: 5*j**3 - 2*j**2 + 16*j + 7291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-78))\/(-1))\/1.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*s + 18*s + 588 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 334489 and 3795.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32011 + 10?\nAnswer: 32021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33 - 8532373037580.\nAnswer: -8532373037579.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/42*(-21)\/28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18139680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1830a?\nAnswer: 18306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -0.3, -4 in increasing order.\nAnswer: -7, -4, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -51190526 times 3?\nAnswer: -153571578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6bd30 (base 14) to base 16\nAnswer: 40466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-2*sqrt(153) + sqrt(153))*-1 + sqrt(153) - (sqrt(153) + (1 + sqrt(153))*-5))*-5)**2 + 0.\nAnswer: 13500*sqrt(17) + 414975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788170*w**3 + 394124*w**3 - 8 + 8 + 394049*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6*(2 - -1). Solve 0*v + 2*v - a = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1791242*0.0707.\nAnswer: 126640.8094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120897520*z**2 - 60448778*z**2 - 60448741*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, -7, -3\/8, 4, 0.1, 370, -5\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1 - (-23 - (27 - 27 - (-1 - 8))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + g - 4. Let z be i(0). Let b = 13 + -18. Let h = 14 - 13. Put h, z, b in descending order.\nAnswer: h, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(8\/(-10)))\/(8\/(-8)). Suppose -994 = -i*x + 2*g, -2*x + 91 = 4*g - 321. What is the remainder when x is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-5 - -9)) + -39 - (13 - 17).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -8660 and -8660 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 21 and 186 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omo when three letters picked without replacement from yoymoiyiiyyooy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 4*d + 9*d + 4*d. Let q(s) = -3*s. Determine q(b(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 6*q + 22 = 3*q, -2*s = q + 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 52 = -x, -3*b + 0*x + 161 = 4*x. Let u = -37 + b. Suppose 15 = 2*c - 23. Calculate the remainder when c is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 2*v**2 + 6*v**4 - 12 + 4*v - 2*v**4 + 4*v - 3*v**3 - 6*v to s*v**3 + r + n*v + u*v**2 + o*v**4 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*(138\/345)\/(66\/15)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.579 + -103.17.\nAnswer: -105.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 1, m: 5, y: 1, r: 2}. Give prob of sequence mii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*6*-2*-2)\/((sqrt(72) - 5*sqrt(72) - sqrt(72) - sqrt(72))*3).\nAnswer: -4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/((-15)\/5)*32\/24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -1993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-130)*(125 - -110)?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/10)\/(q**(1\/9)*q) assuming q is positive.\nAnswer: q**(-91\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591634.2ml to litres.\nAnswer: 591.6342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iti when three letters picked without replacement from {t: 7, j: 1, i: 5}.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -219*n**3 - 774*n**3 - 997*n**3 + 5 - 2*n**2 - 3 - 4 in the form q*n + x*n**2 + i + k*n**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 1, m: 2}. What is prob of sequence px?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**4\/4 + 6*p**3 + 25*p**2\/2 + 17*p + 15. Let d be g(-16). Let w be 12800\/((-5)\/35 + d\/1050). Round w to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 340\/1071*1053\/(-234)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 17. Solve 17 = 4*o - 5*i, -v - 17 = -5*o + 3*i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23011804 and 2512?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 7884.49 + -7887.49. Let j = 0.1 - 0.3. Which is the nearest to l? (a) -2 (b) j (c) 1\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 + -93. Which is the nearest to -1? (a) 34 (b) d (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n**3 + 14*n**2 + 3*n - 7. Let j(f) = 13*f**3 - 17*f**2 - 2*f + 4. Determine 3*j(c) + 2*m(c).\nAnswer: 15*c**3 - 23*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 10 + 7. Find the second derivative of 15*r + 2*r + 6*r**3 - 6*r**c - 4*r**5 wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 195191651 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149.01443 + 0.01443. Let y = -2.58 + -139.42. Let u = i - y. What is the nearest to 0.2 in -3\/7, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - ((-5 - (15 + -7 + -107)) + 9)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1250760 - -303398. Let b = -947383.999584 - o. Let i = -22 - b. What is i rounded to five dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4025 (base 13) to base 16.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 + 193. Suppose 3*d = d + f. What is the common denominator of 69\/4 and ((-6)\/d - -1) + -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 43.828.\nAnswer: -131.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*(a*a*a**(-17\/2)\/a*a*a*a)\/a)\/((a**(-9\/2)*a)\/(a\/(a**4\/a))) assuming a is positive.\nAnswer: a**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13467*j**4 + 26532*j**3 + 12666*j**2 - 396*j + 3.\nAnswer: 3*(j + 1)**2*(67*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.11.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 448020 to the power of 1\/2, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0326 + 0.4.\nAnswer: 0.3674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/(t**(-5)*t))\/(t\/((t*t\/(t**(-4\/7)*t))\/t*t)*t**1) assuming t is positive.\nAnswer: t**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-24) - (-4 + 55\/20). Sort y, 5, 50 in decreasing order.\nAnswer: 50, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16762341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 - 68 - 35*p**2)*(5*p + 0*p + 0*p)*(p - 4*p + 0*p).\nAnswer: 525*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 677735646 a multiple of 478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 287 = 4*o, 5*o = -0*o + 4*c - 382. Let m = 106 + o. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -25*t**5 + 35*t**4 + 65*t**3 - 55*t**2 - 40*t + 20 = 0?\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 16*q + 13235 - 13226 + 2*q**2 + 4*q**2. Calculate s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13 = 2*c - 1, -3*c + 5*y - 44 = 0. Let s(m) = m + 2. Give s(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/7545 and 26\/685.\nAnswer: 1033665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/809 - -3712\/96271. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*t + 89, -3*b = -6 - 6. What is the greatest common divisor of t and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**5\/60 - 492*b**2. Let f be (3 + 0 + -2)*3. Let v(a) = -a - a + f*a. What is v(y(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-25761)\/(-12) - 60\/80.\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30588773429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:08 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/37)\/((((f**(-11)*f)\/f*f*f*f)\/f)\/f)*(f*f**(-5))\/f**(2\/5) assuming f is positive.\nAnswer: f**(1046\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 + 22*z**2 + 6*z + 3. Let v be s(-7). Solve 0 = -2*f - 4*x - 14, -3*f + 7*x = 2*x + v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -16*z + 8. Sort z, -23, -2, 3.\nAnswer: -23, -2, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5*g + 0 = -2, 3*g = -5*h + 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.4 + 7.475. Let w = x + -0.675. What is the second smallest value in 1\/4, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -506 - -1216. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-9) + (-4)\/(-18). Suppose -2 + 98 = o*b. Suppose 3*d - 29 = -0*d + 2*x, 4*d + x = b. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 14) to base 6\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -800 - -1174. Let d = -370 + p. What is the third biggest value in 0.3, d, 27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 7*v + 6. Let y be x(6). Suppose 90 = y*m - 9*m. Let i(t) = -2*t + 0*t - t - m*t. Let r(h) = h**2. What is r(i(b))?\nAnswer: 1089*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 3*r + 186 + 337. What is the smallest value in 0.7, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3788*m + 76. Calculate the lowest common multiple of (-1 - -37) + 0 + 0 and g(0).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -254 in 0.5, 2\/7, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b (base 12) to base 2.\nAnswer: -10111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/(54\/(-30)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 523570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 11:00 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2273 and -1.\nAnswer: -2273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 99. Let z = k + 191. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b7b5b2 - -3?\nAnswer: 1b7b5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -7, 4 in decreasing order.\nAnswer: 5, 4, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/12)\/((-4)\/138). Suppose 5*d - 5*y = 3 - g, 22 = 2*d + 4*y. Let m be 5 + ((-4)\/(-2))\/d. Calculate the highest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/14 + -1)\/((-9)\/(-168)). Let t(v) = -113*v**3 + v. Let x be t(-1). Calculate the highest common divisor of x and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 14*k**2 - 7*k + 15. Let q be l(12). Let u = 152 - q. Let d = -10 - u. Calculate the remainder when d is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*p + 2229, -4*u + 2233 = -2*u - p. Suppose 5*d + 3*a = u, a + 153 + 75 = d. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let t be (250\/30)\/5 - 3\/9*6. Is t at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 14*a + 9. Let z be b(-4). Let u = z - -50. Suppose i - 154 = u*h, 0 = 3*i - 2*h - 258 - 211. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -2332?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -555*h**5 - 19*h wrt h?\nAnswer: -11100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/23? (a) -1\/5 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/63)\/((-9)\/(-27))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3, -114, -2\/3 in increasing order.\nAnswer: -114, -3, -2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmvnzmo. Give prob of sequence nzmv.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1848 and 4928.\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37.83? (a) -4 (b) -5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 3311\nAnswer: -662.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003893 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73709717?\nAnswer: 197, 293, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4535611577\/2214 - 2048605. What is the common denominator of u and -31\/22?\nAnswer: 24354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 45572.5 rounded to the nearest 100?\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189285?\nAnswer: 3, 5, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2 + 3 - 2 - 2 + (0 + 0 + 2)*(-5 + 0 + 4) - 3 + 6 + 1)*(4*x - 4*x - x) as d + z*x and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 15*q**2 - 18*q + 201. Determine m(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-12)*(155 - 57) and 89\/195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -397 or -396?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, a: 3, v: 1, m: 3}. Give prob of picking 1 l, 1 v, and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10428.59 tonnes to nanograms.\nAnswer: 10428590000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 3. Let t = 6 + o. Let y be 1\/4*((-259)\/21 + 13). Which is the smallest value? (a) -0.3 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14530390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.69 - 566.69. Let k = d + 582. What is the closest to -4 in -4, 4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43525.07 nanometers to kilometers.\nAnswer: 0.00000004352507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16715846 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4 - 0. What is the second derivative of 3*l**u + 2*l + 4*l - 4*l - 5*l wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -30. Let n = z - -12. Suppose 4*b - 3*b - 18 = n. Calculate the lowest common multiple of b and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4\/2 - 100*r**3 + 4756*r**2 + 400*r - 19032 = 0.\nAnswer: -2, 2, 78, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**5\/10 + y**4\/24 - y**3 - y**2. Let s(v) = 3 - 9 + 7. Let f(h) = -g(h) - 6*s(h). Calculate f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 + 4*y**2 + y + 2*y. Let p(o) = 2*o**2 - 7*o. Let f = -39 + 25. Let w(c) = f*n(c) - 6*p(c). Let h(x) = x**2. Calculate w(h(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1209 in 0, 1, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-2) - (4 - (-6 + 6)). Let o be 1 + g - 1 - -2. Let l(h) = -2*h + 2 - o + 2. Let a(k) = -17*k**2. Calculate a(l(u)).\nAnswer: -68*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 146d3 (base 16) to base 2\nAnswer: 10100011011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-100))\/(36\/572). Let v = 22\/25 + b. What is the common denominator of 47\/9 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2855 + -2653. What is the remainder when s is divided by 102?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from pppypppzpzjddz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7515878*y**4 - 25*y + 199333.\nAnswer: -90190536*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 8*d**2 + 9*d - 9. Let z be h(7). Suppose -z*a + 27 = 2, -a = 3*w - 5. Solve -j = -w*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -4, -12\/49, -1\/3, 0.3, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794317 is divided by 397144?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9331.\nAnswer: 7, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 13680384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 54415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 47 + 9. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -618, -4974, -16804, -39846, -77838, -134518, -213624, -318894?\nAnswer: -454066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-17) + (-238854)\/(-135762)?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133 or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 44*a. Let o(w) = 11*w - 53. Determine o(f(k)).\nAnswer: 484*k - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*b = 7552 - 7532, 2*b = -q - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Let s be 4654\/(-36) + (-2)\/(-4). Let u = 129 + s. Which is the closest to -1\/4? (a) u (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2072)\/1184 + -2 + 357\/108. What is the biggest value in 3, -1, 5, k, -67?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57688 by -11.\nAnswer: 57688\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2 + 2*c. Let x = 7 - 11. Let a(b) be the third derivative of -b**5\/10 - b**4\/12 + 4*b**2. Give x*p(t) - 5*a(t).\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 3 + 5*l**3 - 3*l**3 + 2*l**2 - l**3. Let k be c(-3). Determine m, given that m + 0*m**4 - m**k + 2*m**4 - 3*m**4 + m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - -15.02. What is the nearest to -1 in 4, 5, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30515617 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3.32?\nAnswer: -9.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, g: 2, d: 4, x: 2, l: 3, c: 2}. Give prob of sequence vd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 139852*g**2 - 2*g + 3. Let q be a(8). Let k be (-1)\/2 + (-298971)\/(-2). Suppose q = -v - k. Round v to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 19 - 6. Suppose q - 14 = -a. Calculate the smallest common multiple of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 8*s - 5 = 2*i, -20 = -4*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26485 (base 12) to base 5\nAnswer: -3140032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-8) + 0 - 1\/(-6). Factor 2\/3*u**2 + f*u + 0.\nAnswer: 2*u*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4)*s\/s**5)\/(s**(-2\/5))**(-4\/7))**(-21))**(7\/6) assuming s is positive.\nAnswer: s**(1008\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26, 33, 138, 295, 510, 789, 1138?\n\"Answer: z**3 + 17*z**2 + z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 1. Suppose q*g = 6*g. Suppose -3*w + 34 + 5 = g. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -229.861 to the nearest integer.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h*h**(-2\/23))\/(h**7\/(h*h**(-5\/4)*h)))**(-4\/11) assuming h is positive.\nAnswer: h**(307\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**2 - 13*c. Let k(a) = -3*a**2 + 6*a. Let i(n) = 13*k(n) + 6*w(n). Let t = 1 - -1. Let b(j) = j**t + j - j. Determine i(b(u)).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -760120 (base 8) to base 3.\nAnswer: -110220110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 264016 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 10109 + 45385 = 0. List the prime factors of v.\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3075 - 10451*u + 3075 - 11418*u as c*u + g and give c.\nAnswer: -21869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 2*r - 3*r**3 + 2*r + 52.\nAnswer: -3*r**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76613, 153186, 229759, 306332, 382905?\n\"Answer: 76573*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2009300 and 241116.\nAnswer: 6027900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v - 8. Let q be p(2). Which is the closest to q? (a) 4\/9 (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzoztuqsouutzuosszo. What is prob of picking 1 t, 1 o, and 1 z?\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.9 + 37.9. What is the third smallest value in p, 0.1, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 37) + 14 - (5 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1015)\/30)\/((-15)\/(-2)) - (-104)\/1560\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(180) + sqrt(120)\/sqrt(54) + -5.\nAnswer: -10 + 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 17. Suppose -20 = -2*n - a*n. Suppose n = q - 18. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29845374 + -49.4?\nAnswer: -49.69845374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**5\/120 - a**4\/6 + 11*a**3\/3 + 5*a. Let x(y) be the second derivative of j(y). Let p be x(-20). Is 15 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 + 5*g**4 + g**4 + 3*g**4 + 6*g**2 - 6*g**2 + (2 - 2*g**2 - 2)*(-50*g**2 - 3*g + 3*g) to the form o*g**3 + m*g + s*g**2 + c + u*g**4 and give u.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000727433 to seven decimal places.\nAnswer: -0.0000727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - 1. Let w be u(-1). Find the third derivative of -5*s**4 - 6*s**2 + w*s**2 - 5*s**2 wrt s.\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((((h\/(((h\/((h*h*h**(-3)*h*h)\/h*h))\/h)\/h)*h*h)\/h)\/h)\/h)*h**(2\/7)*h\/(h**13\/h)*(h**(1\/3)*h)\/h assuming h is positive.\nAnswer: h**(-239\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 59*c + 104. Sort c, 8, -62.\nAnswer: -62, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*y = -74, -y + 165 - 117 = 3*u. Suppose -27*n = -u*n - 20. Solve 8\/5*x**n - 6\/5*x - 2\/5*x**3 + 0 = 0 for x.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 42 = -v, 0 = 7*v - 3*v. Suppose s + 8 = -18*q + h*q, 4*s - 2*q = 40. Solve -s*z - 3 = -11*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.04 + 14.96. Which is the third biggest value? (a) 6 (b) 5 (c) -0.5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 11706*m + 1646448. What is h(139)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f = 20. Let d = 8 + 2. Let k be 2\/(-3)*d*-3. What is the greatest common factor of k and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**5\/360 + s**4\/16 + 5*s**3\/18 + 8*s**2 + 4*s. Let l(m) = 0. Calculate m.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6 - 37*d**2 + 99*d**2 + 77*d**4 + 6 wrt d?\nAnswer: 1848*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/315*-45*-3*(-2)\/(-54).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*p + 15, p - 26*t + 21*t = -24. Is p not equal to -183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*t + 48, -5*t - 20 = 5. Which is bigger: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 287 and 46371.\nAnswer: 324597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 995*w**2 - 10. Let i(o) = 500*o**2 - 4. Determine -2*d(l) + 5*i(l).\nAnswer: 510*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*m + 1, -16*x - 13 = -18*x - m. Let n = 12.9 + -13. Let g = 39\/10 - 7\/2. What is the closest to n in g, x, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/3 + 109775*r**3\/3 - 1537046*r**2\/3 = 0?\nAnswer: -109789, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 (base 11) in base 12?\nAnswer: 10a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*sqrt(66)*-2)\/(sqrt(36)\/(sqrt(42)\/sqrt(175))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.118320754278 + -0.05?\nAnswer: -0.168320754278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 354609*r**4 + 400271?\nAnswer: 1418436*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100040*b**2 - 93971.\nAnswer: 200080*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 3 - (64 + -46).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 2, n: 1, k: 1}. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -6.4. Let k = l - -23.6. Let b = -27 + k. Which is smaller: -1\/11 or b?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*x + 4, 0 = -2*g + 2*x + 23374. Suppose -15*q - g = 9138. Let c = q - -51352\/37. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 6\/(-2) - -2. Suppose -z*h + 4*r = -56, 0 = -3*h - 2*r + r + 46. List the prime factors of h\/(-36)*-3*18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0548 and -548.\nAnswer: -30.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**2 - 2*i**2 + (3*i - 2*i + 3*i)*(-i - 3*i + 0*i).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21088 + 45542.\nAnswer: 66630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000314403615 rounded to six decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 3. Let g be y(6). Suppose -5*q + g = 3*l, -2*l + q = -3*q + 8. Suppose 33600003 = 2*r + l*r + f, f = 3. Round r to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.5 (b) 3 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004267 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(2\/11)\/d))**(-4\/5)*(d**(1\/18))**(-32) assuming d is positive.\nAnswer: d**(-1996\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 4*o + 2. Suppose -3*d + 5*q - 8 = 0, 0 = -3*d + 4*q + 3 - 7. Let y(w) = 2*w**3 - 5*w - 3. What is d*y(k) + 5*z(k)?\nAnswer: -2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1030233 by -5.\nAnswer: 1030233\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*4)\/(sqrt(6) + sqrt(18)\/sqrt(192)).\nAnswer: 32*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*sqrt(72)*-1)**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 46728277.\nAnswer: -4672827.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from udzdgdgddjhdhjzjgg?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1957515 divided by 4\nAnswer: 1957515\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -817?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*g + 7003 - 6763 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 154*b**2 + 442*b - 2. Give k(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-65)*(-11200)\/(-4320).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/((-20)\/(3200\/(-6))). Let s = -264 + r. Find g such that -4\/3*g**2 - s*g + 4\/3*g**3 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48685.87 litres in millilitres?\nAnswer: 48685870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*o**3*u - 310*o**3 + 12*u**3 wrt u.\nAnswer: 15*o**3 + 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 518249 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9083.68 meters?\nAnswer: 9083680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -3, 12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 11:44 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2945774229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461 divided by 20.\nAnswer: -461\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4750964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 44*a - 24. Let t(s) = 9*s - 5. Let g(q) = -5*d(q) + 24*t(q). Let j be 6\/5*(-30)\/(-9). Let v(n) = -n**2 + 4*n - j*n. Determine g(v(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**5 - 2800*k**4 - 651456*k**3 - 49937472*k**2 + 102503232*k.\nAnswer: -4*k*(k - 2)*(k + 234)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2888 - -2907. Solve 2*l - g = -21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7531447\/24300 - -7751\/25. Calculate the common denominator of 1\/9 and h.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/4 - 6\/(-8). Let c(k) = 2*k + 6. Let w be c(s). Let j = -2 - w. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -29 - (-5 - (0 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.673 + -0.673. Let b = -9.6 - -1.6. Let v = -8 - b. What is the second biggest value in s, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81076681, -81076687, -81076697, -81076711, -81076729, -81076751, -81076777?\nAnswer: -81076807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -164503, -164513, -164525, -164533, -164531, -164513, -164473, -164405?\n\"Answer: i**3 - 7*i**2 + 4*i - 164501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 4)*(0 + 104*d - 109*d + 2).\nAnswer: 25*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1362711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (26 - 29).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/37, 4\/9, -3\/2, 17321?\nAnswer: 17321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7783*t - 25 = -7778*t - 2*i, -2*t = -2*i + 28 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1524454 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(679140\/5565) - (2\/22)\/(3\/9).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.784755 millennia to decades.\nAnswer: 778.4755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 221470258957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-30 - (-2 - 13)) - (0 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16037?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 6, -50, 2\/5, 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = -4. Let u be (m - (0 - 3))*12. Suppose z - 35 = -u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0087092 rounded to 4 decimal places?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14)\/(-8) + (0 - -4) and -85\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5030.2617483 and -13?\nAnswer: 5043.2617483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 - 12?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6656 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -586*z**2 - z**5 + 1015*z**3 + 3725*z - 1015*z**3 - 917*z**2 wrt z.\nAnswer: -20*z**3 - 3006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 3*c - 9. Give s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 102120120002102?\nAnswer: 102120120002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0 (c) -2\/15 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z = -27*z + 7*t - 59, -2*z + 4 = -4*t. Solve 24*b - 30*b = -z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 62*m - 9423. Determine f(152).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011711769564 rounded to 6 dps?\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15462 - -15467. Solve 0 = 2*g - y - z, 0 = 24*g - 21*g - 4*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 35 = -59 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*g + 117 - 117 + (-1 + 1 - 1)*(-g - 4 + 4).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -389 or -388?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23239017)\/(-34) - (3\/6)\/1. What is c rounded to the nearest 10000?\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5767198 to the nearest integer?\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(-20)\/(-3990)*2\/(-2).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19185?\nAnswer: 3, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let q(j) = -j**3 - 9*j**2 - j - 9. Let f be (2 - 0)\/((-10)\/45). Let h be q(f). Put z, 5, h in descending order.\nAnswer: 5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.6 - -0.6. Let w = k + 4.04. Let g = 0.03985 - w. Round g to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(((-312)\/36)\/13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4496 less than 630?\nAnswer: -3866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 650*u + 210 = 658*u, 90 = -3*p + 3*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-105)\/(-2))*7\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 494 and 7202.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a day in minutes?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znm when three letters picked without replacement from mznzmzznznzz.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1675 = 5*h, -2*h + t - 335 = -3*h. Suppose -3*s - 2*s = h. Let f = s - -105. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/42*18\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 575 - 475. Calculate the remainder when 298 is divided by p.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 r when four letters picked without replacement from {r: 3, u: 7, s: 3}?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 1) + (-55)\/15. What is the closest to 1 in 4, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 31. Let j be o(11). Calculate the highest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 - 1232.1634348431\nAnswer: -1230.8634348431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 4*w + 4. Let t = 2 + -9. Let d(o) = 2*o**2 - 7*o + 7. Let g(x) = t*i(x) + 4*d(x). Let u(b) = 3*b**2. What is g(u(k))?\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(-4205)\/(-841)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 4. Let g be v(-2). Suppose -4*f = -g*f - 6. Let i(s) = -7*s - 7. Let t be i(-2). Solve -5*h - t - f = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4913391)\/(-476) + -2 + 14\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72 (base 8) to base 13.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5058 is divided by 85?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 - 133*k - 37. Calculate f(-44).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 211 = -4*d, 0*d = -d + x + 53. Calculate the remainder when d is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31141)\/399 - -78)*(0\/(-2) - -3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19599 + -19583.286. Let w = -16.9 + q. Let x = w - 0.054. What is x rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70))\/sqrt(2) + sqrt(70)\/(sqrt(8) - sqrt(2)))\/(2*sqrt(28)\/sqrt(4) - (sqrt(175)*1 + sqrt(7))).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -494, -1551, -3612, -7013, -12090, -19179?\nAnswer: -28616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**3 - 4*h**3 + 4*h - 8*h**3 to a + i*h**3 + c*h**2 + b*h and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51.73 + 49.4. Round t to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - 158. Let j = d - -97. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7327413 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 834131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 259*p**2. Let n(h) = 123*h**2 + 136*h**2 - 257*h**2. Give n(r(y)).\nAnswer: 134162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b**(-1\/3)))\/b)\/b*b)**(2\/9))**43\/(b**(2\/7)\/b**4)**45 assuming b is positive.\nAnswer: b**(30386\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -52*y**3 - 3*y**2 - y + 5. Let w be j(2). Let a = 637 + w. List the prime factors of a.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*n**2 + 132*n**2 - n + n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755198379.\nAnswer: 3, 13, 37, 43, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -70 and 0.07.\nAnswer: -69.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -3*z**5\/80 - z**4\/8 + z**3\/8 + 3*z**2\/4 + 45*z. Find j, given that k(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*f = 2*f + 3, 5*j - 20 = -4*f. Calculate the least common multiple of 12 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2121 by -1.\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 26*k = -280 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 98, -26070 in decreasing order.\nAnswer: 98, 1, -26070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 4. Suppose -18 = 4*k + 2. Let l be c(k). Suppose 3*v - l = 2*v. 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 16 = s - 5*s. Let t = s - -6. Find the common denominator of (-87)\/4 + 2 + t and 52\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329 + 324. Is b > -523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2644 + 2649. What is the least common multiple of k and (7 + -9)*(-2)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71 by 6.\nAnswer: -71\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8654941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m = 875 - 463 - 462 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10472 is divided by 116.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 - 9 + 2*s - 21 + 6*s**2 in the form l*s + c*s**2 + t and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/60 + w**2. Let i(c) = 2*c + 2*c - 4*c - 5*c + c. Calculate i(l(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d - 2. Let s(v) = -v**3 - 6*v**2 - 5*v - 2. Let r be s(-5). Let k be j(r). Calculate the highest common factor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 2642857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 86663*t + 71 + 84 + 40 - 45 - 86664*t.\nAnswer: -t + 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20014878?\nAnswer: 2, 3, 13, 137, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 254608376 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/280)\/((5\/(1600\/48))\/(294\/16)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 49*j + 4. Let h be a(-49). Solve -2*t = 4*w + 6, -h*t - 23 + 47 = -w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5631, -14, 2\/3 in descending order.\nAnswer: 5631, 2\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 - (-334)\/(-75). Let a = -2\/25 + w. Find the common denominator of a and -27\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35\/6 - 6. What is the biggest value in y, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 640*m + 643*m - 78 = 0, -38 = 5*u - m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/210*142 + -12)*(-3)\/27.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 316\/63 + -32\/7. Factor -2\/9*m + 0*m**3 + 2\/9*m**5 - 4\/9*m**2 + k*m**4 + 0.\nAnswer: 2*m*(m - 1)*(m + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 - 10?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c. Let n(u) = u. Let k(p) = -j(p) - 5*n(p). Let g(b) = -5*b. Calculate g(k(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m. Let u(j) = -10*j**2 - 2*j - 2. Let r(g) = 10*g**2 + 3*g + 3. Let v(p) = -2*r(p) - 3*u(p). Calculate w(v(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -87*c**2 + 322?\nAnswer: -174*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7465 - 7525 = 10*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-8\/15)\/(n*n\/((((n*n*n*(n\/n**1)\/n)\/n)\/n*n)\/n))**18 assuming n is positive.\nAnswer: n**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526 - 1218 = 48*c + 1180 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010000000110 - -1?\nAnswer: 1011010000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5, -3*i = -4*r - 2*i - 5. Suppose -8*s = -4*s + 4*z, -25 = 4*s - z. Suppose -t = 2*f + 5, -2*t - 4 = -f + 1. Put s, r, t in decreasing order.\nAnswer: r, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.140954913804 and -0.0561?\nAnswer: 0.197054913804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6641 take away -4?\nAnswer: -6637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 965*w*z + 139229937*w + 207*z**3 - 3*z**2 wrt z?\nAnswer: 965*w + 621*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**4 + 0 + 0 + (0*c**2 - c**2 + 0*c**2 + (2 + 6 - 4)*(-22*c**2 + 1 - 1))*(1 - 1 + c**2) in the form t + p*c**3 + k*c + i*c**2 + z*c**4 and give z.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12049249 and 2679?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose 2*x = 10 + v. Suppose 2*w + 28 = x*w. Which is the smallest value? (a) 2\/15 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/8))**(-5\/2) assuming l is positive.\nAnswer: l**(15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.007 (b) -2\/13 (c) 2 (d) -1 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p - 2*q = -18*p - 1044, -q - 1032 = -4*p. List the prime factors of p.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 - 3*d + 3*d - 2 + d**3 + 2 + (3 - 1 - 4)*(24 - 24 + 15*d**3).\nAnswer: -31*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4069913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 + 164.947. Let g = -0.153 - c. Sort 6, g, -3.\nAnswer: -3, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 408*t - 204. Is 68 a factor of w(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - 3*t**3 + 3*t**3 + 0*t**4 + 0*t**4 - 5*t**4 + 0*t**4 + 4*t**4 - 5*t**4 + (-3*t + 3*t - t**3)*(4*t - t - t) - t**4 + 2 - 2)*(-1 + 1 - t).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3\/9 - 12308*o**2\/9 - 222128*o\/9 - 395008\/9 = 0.\nAnswer: -16, -2, 6172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -1020667.\nAnswer: 510333.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 414 = -3*d. Suppose 2*q = 11 + d. Suppose -4*o = -5*f - q, -2*o - o + 4*f = -54. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, 129, 317, 565, 879, 1265?\n\"Answer: a**3 + 21*a**2 + 64*a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/(3\/6). Let h = t - -5. What is the remainder when 30 is divided by h\/(-14) - 116\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 + 104*p + 130. Determine n(27).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130843 - -768?\nAnswer: 3131611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 741.\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9100592?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8062, 8446, 8842, 9256, 9694, 10162?\nAnswer: 10666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*(-3)\/(-6)*-1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(2*(-4)\/(-88)). Is k bigger than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63052025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2 - 61) + 40\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 33*r**2 + 266*r. Determine m(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.008 + -0.008. Do 2\/7 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 44*w. Let r be v(-1). Which is the nearest to 0? (a) -2 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2360 + 27?\nAnswer: 2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/5 + (-13)\/(-65). Suppose i + 4 = -4*m, 4*m - k*i - 8 = -0. Let s(w) = -w**3 - w + 9. What is s(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 10*x**3 - 111*x**2 - 202*x + 2308. Determine n(11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6)*(-4)\/(-3). Does 8 divide f*(-10)\/(-4) + (8 - -20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -18. Let u = d + 10. Suppose u*a + 1600 = 10*a. What is a rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s - 2*g + 227, -20 = 4*g. List the prime factors of s.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 17. Let j = k + 51. Calculate the smallest common multiple of j and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*i = 75, -c = 3*c - i - 105. Suppose 0 = 6*l - 5*l - c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*t + 20 = 0. Is 53 + (-2 - (t + -1)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 6. Let g be (-1 - 2)*(-6)\/(-18). What is the remainder when w is divided by (g\/(1\/3))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, c: 4, m: 8}. What is prob of sequence mmm?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000100101111100100 - 100001?\nAnswer: 10100000100101111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.979 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 3*c + 1. Let t be a(2). Let y be 2691\/(-5) - t\/(-35). Is (-8)\/32 - y\/8 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 27. What is the remainder when 17 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.562403 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110000 (base 2) in base 4?\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(11\/(-154)). Is 1\/(-7) + 1779\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**9\/56 - 3*n**5\/20 + 6*n**2. What is the third derivative of p(g) wrt g?\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 8*a**2 - 8*a + 7. Let x be l(5). Suppose f = -28*f + 3857. Let d = -105 + f. What is the greatest common factor of d and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 684, 666, 636, 588, 516, 414, 276?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 19 = -a - 0*a, 3*a + 9 = -z. Suppose 0*d + z*d = 42. Let g = -13 + 27. Calculate the greatest common divisor of d and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -1, -5, 892, -265 in increasing order.\nAnswer: -265, -5, -1, 1, 2, 892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00627 and 24.\nAnswer: -0.15048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {d: 1, g: 1, o: 1, t: 2, f: 1, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 1\/6*f**4 - 1\/120*f**6 - 1\/60*f**5 + 12*f**2 + 0 + 0*f + 0*f**3. Suppose 3*h + 4 + 5 = 0. Determine u(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 18549270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2952 divided by 164\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)*8*(-18)\/(-48). Let -4*i**2 + 48 + 16*i**j - 40*i**4 - 11*i**3 + 15*i**3 - 68*i + 44*i**4 = 0. What is i?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 16*t**2 - 2*t**3 - 302 + 649 - 325 - 14*t. What is the remainder when 64 is divided by a(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8861 or -8776?\nAnswer: -8861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60773250?\nAnswer: 2, 3, 5, 81031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*((-3)\/(-8))\/((-18)\/(-144))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4364.5 and 0.1.\nAnswer: 4364.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2254170 divided by 2254170.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**16*k*k\/(k*k**(-1\/29)\/k*k*k)*k**(-21)*k*k\/(k*k**11*k)*k*k assuming k is positive.\nAnswer: k**(-405\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - 3*w**3 + 4*w**3)*(3*w - 1 + 1)*(0 + 0 - 3*w).\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:27 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25379767843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/(-4) + 4)\/((-5)\/(-290)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/6)\/1 - (-1)\/3. Suppose 0 = -2*c - l*r + 20, -4*r = 3*c - 5*r + 4. Suppose -2*k + c*k + 36 = 0. Calculate the remainder when 65 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/(-140) - (-3)\/15. Suppose -5 = 4*g + 3. Let o be (51\/21 + g)\/(-1). Which is the second biggest value? (a) 0.4 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 9\/(-36)) + 4\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2212 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58731765*k**3 + 3189*k**2 - 27476*k.\nAnswer: 352390590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*t*w**2 + 3485*t - 60*w**3 wrt w.\nAnswer: 14*t*w - 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*(-19 - -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12806 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 390724.\nAnswer: 42979640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:05 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.921 - -0.121. Let m = -2.2 + q. Let d = m - -21.01. What is d rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -3161.5 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4200\/(-3850)*((-40)\/(-36) - (-10 - -16))\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-2 - -3)*0. Suppose -4*t - 28 = -4*l, 3 = 5*t + 5*l + 28. Which is the nearest to -2\/3? (a) 3\/2 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 22.3 (c) -4\/5 (d) 294\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4000)*2 - sqrt(40))\/sqrt(2))\/(2*sqrt(196)*2).\nAnswer: 19*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*d - 52*d - 54 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 1340218.\nAnswer: -4\/60919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6731781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b)\/(b**(1\/7)\/b))\/(b**(-2\/5)*b)**35 assuming b is positive.\nAnswer: b**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090855?\nAnswer: 5, 218171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b - 1. Let x(f) = -3*f. Let p(w) = -w**2 + 4. Let j be p(-3). Let l = j - -3. Suppose 105 = 11*o + 4*o. Calculate l*n(g) + o*x(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = 16. What is the remainder when (-18)\/(-10)*50\/6 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.23 + 2.37. Let h = q + -8.9. Which is the closest to 1? (a) 2\/5 (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in 0.01, -1\/24, 0?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8875 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: 0 - (-6 - -7 - -4) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4192 and 710806.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-1)\/(-5)*-5*(-3)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 50. Let o be (-66)\/(-55)*2*150\/4. Let z be (-4)\/10 - -111*1\/o. Sort 2\/11, z, l, 4 in ascending order.\nAnswer: 2\/11, z, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s = -16. What is the remainder when 47 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**3 - 80*i**2 + 188*i + 264 = 0?\nAnswer: -22, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -k - 147. Solve 2*d = -n + 5, -3*n - 2*d + k + 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*h + n, -13*h + 4*n + 10 = -15*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*i - 15. Suppose q = -4*o + 69, -i*q = -3*o + 2*q + 46. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3184 divided by -3184?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (0 + (-2)\/(-18)*33). Let q = 2 + -1.8. Which is the smallest value? (a) q (b) 1\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 278, 1002, 2182, 3794, 5814?\n\"Answer: -4*v**3 + 252*v**2 - 4*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 658 and 658 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - 8*f**2 - 5*f**2 - 2*f to the form j*f + u + o*f**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.323 + 8.623. Sort r, 173, -4 in descending order.\nAnswer: 173, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159\/4 + -40. Let n = -42951 + 42951.3. Sort -2\/11, -0.5, c, n in decreasing order.\nAnswer: n, -2\/11, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.99 + 0.01. Let m = 29 - 59\/2. What is the nearest to 0.1 in 3, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2. Let v(w) be the first derivative of w**5\/15 + 13*w**4\/12 + 16*w**2 - 109. Let z(f) be the second derivative of v(f). Give y(z(m)).\nAnswer: 16*m**4 + 208*m**3 + 676*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 2*t + 2*t)*(-2 + 2 - t) + (-5 + 3 - 6)*(2*t + 0*t - 4*t)*(-3*t + 4*t + t + (2 - 2 + 2*t)*(2 - 3 + 2)).\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/3167 + -186862\/28503. What is the common denominator of (2\/15)\/(3864\/(-24955)) and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/7)\/((-6636)\/7742))\/((-1)\/(-126))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3164a (base 14) to base 12.\nAnswer: -59002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251100 divided by -31?\nAnswer: -8100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = o, 0 = -101*o + 110*o + 3*s - 264. What is the remainder when o is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epepeperrepeeeprp. What is prob of picking 1 p and 3 e?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 18, 53, 112, 201, 326, 493, 708?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**6\/18 + 4*a**5\/15 - a**4\/4 - 4*a**3\/9 + 2*a**2\/3 - 85. Let p(m) = 0. Calculate m.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - 3) + 224793\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 12*u**2 - 11*u + 6. Suppose -14 = -2*y + 2*f, -f + 2 + 13 = y. What is the least common multiple of p(y) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 53 = 3. Solve -w = -32*y + 36*y, 5*w = r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1\/724212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1.0091?\nAnswer: -2.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369.729 millennia in years?\nAnswer: 1369729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10511 is divided by 481.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6 at least 24192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - p)*(p**3 - p**3 - p**3) + 7*p**4 + 11*p**4 - 7*p**4 in the form t*p**3 + z*p**2 + m*p + s + d*p**4 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 90255*g + 180530.\nAnswer: -5*(g - 2)*(g + 18053)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*39.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -284336 or -285015?\nAnswer: -285015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-14))\/(216\/189).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2587980?\nAnswer: 2, 3, 5, 43133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*b = -14597 + 14612, -2*o + 14 = 5*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 3*m - 1. Let u be g(-4). Let j = u - -1. Which is the nearest to -1? (a) 1 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.799595 hours to microseconds.\nAnswer: 35278542000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 4*k**2 + k - 3*k**2 in the form o*k**2 + s*k + j and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1734340 divided by -5101.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.07129 + -0.07129. Put -0.071, -0.4, -9, m in ascending order.\nAnswer: -9, -0.4, -0.071, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3417970 divided by 341797?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/115 - (-12145)\/(-805)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1995172 is divided by 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17532 + 2?\nAnswer: -17530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1234321034 + 1?\nAnswer: 1234321040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/40)\/((-31)\/(-155)) + -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let u(o) = o**3 + 4. Let p be u(0). Suppose 0 = 3*b - 3*d - 9, 3*b = -p*d - d - 15. Solve b = -2*q + c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**3\/3 - 9*a**2\/2 - 3*a. Let j(b) be the third derivative of 0*b + 0 + 0*b**3 + 1\/30*b**5 + 19*b**2 + 0*b**4. Give j(i(d)).\nAnswer: 8*d**2 - 72*d + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39089188?\nAnswer: 2, 17, 631, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, c: 2}. What is prob of sequence pcpp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Which is the nearest to -5? (a) -2\/5 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 202846062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (252007 - 252007 - 3811*z**2)*(-4 + 4 - 3) in the form g*z**2 + h + i*z and give g.\nAnswer: 11433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 9*h + 2. Let m be f(-5). Suppose -5*y - n + m = -3*n, 4*y = -5*n + 11. Solve -2*c = -5*u, -12 + 0 = y*u - 4*c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*p = 737*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -4, -3, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 14, l: 5}. What is prob of picking 1 l and 1 z?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (2 + 2)) + (-5 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**4 - 32*n**3 + 25*n**2 - 4?\nAnswer: -96*n - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -130, -175, -218?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13664847 to the power of 1\/2, to the nearest integer?\nAnswer: 3697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**16*p)\/p*p)\/(p\/(p**8*p)) assuming p is positive.\nAnswer: p**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5 + 2*q**4 + 10*q**3 - 2*q**2 - 16*q - 8 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*q - q + 13*q.\nAnswer: 65*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50943*l = 7*m - 4*m + 50946*l - 24, -2*m - l = -16 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1594 divided by -2\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4906.87 centuries to millennia.\nAnswer: 490.687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/8)\/l)\/l**(1\/8)*l**(4\/3)\/(l\/l**(10\/3)) assuming l is positive.\nAnswer: l**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 8*x - 26*x + 18*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 13*k**6\/3 + 16*k**2 - 52. Find the second derivative of f(h) wrt h.\nAnswer: 520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let j be w(-7). Let z = -5 - j. What is the third derivative of 2*r**6 - 2*r**2 - r**6 + 3*r**z wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v. Let o(b) = -12*b + 15*b - 5*b. What is o(s(g))?\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s**3 - 5*s**3 + 4*s**3 + 17*s - 4*s**3 - 4*s**3 - 17*s**2 - 14. Determine h(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14644 is divided by 7087.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = u - 3*u - 55, 5*f - 4*u + 121 = 0. Let z = f - -6. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020687865 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 z when three letters picked without replacement from wwgwzbzzrwnw.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:23 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 65809 = g + 7*l, 197427 = 3*g - 4*l. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*a + 988 = 0, -5*k + a = -2*a - 1198. Let d = -162 + k. Does 32 divide (36\/5)\/(6\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13031203 (base 4) to base 8\nAnswer: -71543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -19*j**3 + 7*j**2 - 7*j. Let f(z) = 61 + 2*z + 6*z**3 - 2*z**2 - 61. Give -7*f(v) - 2*p(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 96 = -2*z. What is the units digit of z\/(-1)*2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2.1. Let k = -0.1 - v. Which is the closest to k? (a) 1\/3 (b) -3\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 110831, 221678, 332581, 443540, 554555, 665626, 776753?\n\"Answer: 28*s**2 + 110763*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/(-48)*-1*84. Solve 0 = -503*l + 510*l - g for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thty when four letters picked without replacement from {t: 5, y: 1, h: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 23*m**2 - 10*m + 25. Let b be y(-20). What are the prime factors of 6\/(-12) + -3 + b\/(-6)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/4*(3 + 1). Let m = 920 + -703. Let d = 217 - m. Solve d*c = 5*c - f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**3 - 34*n**2 - 32*n - 3. Let o(q) = 48*q**3 - 236*q**2 - 224*q - 20. Let a(j) = -20*g(j) + 3*o(j). Suppose a(u) = 0. Calculate u.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3170636 (base 9) to base 11.\nAnswer: -a6110a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5691016 and 890.\nAnswer: 28455080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 45 in descending order.\nAnswer: 45, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4608763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(80) + 0 - (1 + (sqrt(5) + (sqrt(120)\/sqrt(6))\/sqrt(4) - sqrt(5)) + 0).\nAnswer: -41*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -274, -1217, -2832, -5119, -8078?\n\"Answer: -336*x**2 + 65*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:08 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 31*v - 123. Solve 3 = -3*x - 5*m, 0 = 2*x + 3*m + 2 - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**2 + 25955*j + 51930 = 0.\nAnswer: -2, 5193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 0 - 0 + 18 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/12*(-12)\/(-8). Solve -3*v + 4*x + 29 = 2*v, 0 = j*v + 4*x - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**3\/2 + b**2 + 133*b. Let a(y) = y**3 - 4*y**2 - 4*y - 4. Let l be a(5). Let d(r) = r. Calculate l*m(z) - 2*d(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.08228 (b) -2\/3 (c) -1\/26 (d) 0.2 (e) -0.2 (f) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 316076 and 992?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -8 - -9) + -2857. Let t = f + 4049. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022100 (base 3) to base 15.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + sqrt(75) + -1)**2 + (0 + sqrt(300) - (sqrt(3) - 1*(sqrt(3) - (sqrt(3) - sqrt(3)*1)))) + -5.\nAnswer: -40*sqrt(3) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -1, 0.4, -5\/6, 3483 in decreasing order.\nAnswer: 3483, 0.4, -2\/19, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 - 2*l + 3. Let x be r(-3). Let v be (12\/(-9))\/((-1)\/x). Let o = v + -63. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917.8605mm in micrometers?\nAnswer: 917860.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 39816?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 1. Suppose 5*n + f - 19 = 0, -f = 4*n - 5*f - 20. Let j be (-109)\/(-2) + 1\/n*-2. Suppose 0 = -8*i + 14*i + j. Calculate m(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18618923.\nAnswer: 18618923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 2:39 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*r**2 + 14*r**2 + 145*r**2)*(r + 0*r - 3*r).\nAnswer: -252*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4978 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -309255, -618469, -927683?\n\"Answer: -309214*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from txz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29, -7, -0.687, 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + k**2 + k - 1. Let a(w) = -3*w**3 + w**2 - 5*w + 2. Let j(d) = a(d) + 4*s(d). Suppose -n - 15 = 2*n - 5*b, -n = -3*b + 5. Determine j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*b**3*f*r**3 - 7651*b**3*r**3 + b**2*f*r**2 + 220*b**2*r**3 - b*r**2 - 8*f*r**3 - 52*f*r wrt b?\nAnswer: 144*f*r**3 - 45906*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14022303 (base 6) to base 8.\nAnswer: 1625277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)**(5\/6))**(-3\/11)*(l*l**(-2\/3)*l)**(-2\/33)\/(l**6\/((l*l\/l**(1\/2))\/l)) assuming l is positive.\nAnswer: l**(-1105\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12222 and 119.\nAnswer: 207774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9885 = -2*r - 3730, -4*c - 40150 = -13*r. Is r a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2. Let a(f) = -25*f**2. Calculate v(a(l)).\nAnswer: -3125*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -37, -53, -71, -91?\n\"Answer: -m**2 - 11*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - (8 + -49)) + 6 + 65 + 3.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) + -2*sqrt(140) - sqrt(140))*-1 - sqrt(140))\/(sqrt(180) - ((sqrt(180) + sqrt(180)*-4)*-2 - sqrt(180))).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100101101011001101 (base 2) to base 15\nAnswer: 30acc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) 1\/2 (b) -0.5 (c) -3 (d) -66\/7 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12479 is divided by 2274?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11201 - 4*b - 3*b - 11314)*(3*b - 3*b - 2*b**2).\nAnswer: 14*b**3 + 226*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 315\/(-360)*(-5 + 66\/14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*n - n - 124, -2*n - f + 124 = 0. Suppose 3*y = 5*y - n. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05603 - 1.14397. Which is the second biggest value? (a) 5 (b) i (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*d = 29 - 10, 0 = 9*a + 3*d + 114 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -948\/13 or -10.5?\nAnswer: -948\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/2*(-53 + (-9485)\/(-175)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 2.0997\nAnswer: 35.6949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -383 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 7844\nAnswer: 7844.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.33958 to two dps.\nAnswer: 9.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -3 - (1 + 0)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2568284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/121, 2, -5.\nAnswer: -5, -2\/121, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*b = -25 - 0, 4*u - 2*b + 10 = 0. Let w = 13105 - 13100. Sort -5, w, u.\nAnswer: -5, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 + 713*k\/4 + 90902.\nAnswer: -(k - 1057)*(k + 344)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 857.5623 years?\nAnswer: 85.75623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - f - 19 = -2, -989*r + 994*r + 2*f - 4*f + 71 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1) - 10\/5. Suppose 5*i - 66 = -t - 0*t, i - t - 12 = n. Suppose -4*p = 4*r - 140, -r = -0*r + 2. What is the remainder when p is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -455, -450, -453, -470, -507?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-2)\/7 - 132\/77). Solve i = 1 - l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.20621 - 1.199. What is m rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 335451 or 335452?\nAnswer: 335452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 <= -12083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1470)*-1 + sqrt(1470))*6 - sqrt(1470)) + sqrt(1470) + sqrt(1470) - sqrt(1470))\/(-1*(sqrt(6)*2 + sqrt(6)) + 1*sqrt(150)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.64 - -0.1212?\nAnswer: 4.7612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 2156810.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630)*4*4 - sqrt(3630))\/(sqrt(150)*-1 - (sqrt(6) + (sqrt(864)*-2 - sqrt(6)))).\nAnswer: 165*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 + -3. Suppose -3*m + g = 79. Suppose 0 = -m*r + 3 + 17. Solve 0 = f + 2 - 1, -r*f = -4*i + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 27*d**2 + 6*d + 8774. What is the tens digit of q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 4\/5 (c) 210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112120002001 + 1?\nAnswer: 10112120002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 43802*l\/3 + 5614308.\nAnswer: -2*(l - 22279)*(l + 378)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 65 = -4*a. Suppose -9*m + 5*m + a = 0. Suppose 6 + m = 3*r. Let l(n) = -n**2 + 3*n + 4. What is l(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:41 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**4\/12 + 11*d**3\/6 + 335*d**2. Let c(w) = -w. Calculate 4*c(b) - u(b).\nAnswer: -2*b - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 4750988.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*g**2 - 2 - 5*g**3 - 151*g**2 to the form f*g + q*g**3 + c + s*g**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2422550 (base 7) to base 8.\nAnswer: -1132106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 675*p - 672*p = -177, -5*p = 4*j - 182. What is the remainder when 1738 is divided by j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203d60 (base 14) to base 13\nAnswer: -2c070b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1541151, 3082297, 4623443?\n\"Answer: 1541146*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -1511584327.\nAnswer: -1511584332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 360420 and -7.\nAnswer: -2522940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32761, -65522, -98283, -131044, -163805, -196566?\n\"Answer: -32761*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 4434.5\nAnswer: 17738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 12 = 2*u + 2*p, 0 = p + 4. Suppose -13*f + 7107 = u*f. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 5*b - 27*b**2 + 3*b.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 161 - 164 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 918371*-0.02\nAnswer: -18367.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*y**2 + 253 + 13*y**3 - 12*y**3 - 253 + 56*y - 5*y**3.\nAnswer: -4*y*(y - 7)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9682 divide 427034292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 138*v**2 - 138*v**2 + 5*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**3 + 5*g. Give m(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12493 - -3.\nAnswer: -12490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 9154740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3223*k + 2*y + 24 = -3218*k, -36*k + 162 = -9*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 3*r = 80. Let v(p) = p**3 + 4*p**2 - 2. Give v(r).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:59 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 36 = -4*q, -4*q - 4*q + 26 - 2 = 2*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) - sqrt(6)\/sqrt(2)) - sqrt(18)\/sqrt(24).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/40 + 5*j**4\/24 + 5*j**3\/6 + 1194*j**2. Let o(i) = -3*i**3 + 4*i + 4. Let q be 1\/(-1*2\/10). Give q*o(n) + 4*w(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/8549 in 2\/9, -1\/3, 0.38?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 6*c**2 - 4*c - 2. Suppose -3 = -5*h - 2*p + 28, p = -5*h + 28. Let u be n(h). Solve 1 = -2*q - u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2988 or 0.049?\nAnswer: -2988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - 5*i**2 - i + 6. Let l = 0 - -5. Let b(c) = 4*c**2 - 2*c**3 + c + 1 - 3 + 3 - 6. Give l*b(w) + 4*d(w).\nAnswer: -2*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -2\/7, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10378, 41549, 93508, 166255, 259790, 374113?\nAnswer: 509224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 4. Suppose a - 7 = 2*a - 2*r, 3*r - c = -2*a. Suppose 0 = 4*h - 2*k - 10, -h + 3*k - a = h. Solve -s - 2 = s, h*v + 7 = -3*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/16863 and -76\/135387?\nAnswer: 108715761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 - 86 - 66 + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 - -1 - (45 - 44).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 6*d**5 + 213*d**4\/5 + 108*d**3 + 528*d**2\/5 + 48*d\/5 - 144\/5 = 0.\nAnswer: -2, -3\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*k*t**2 + 14*k - 3*t**2 + 3*t wrt t.\nAnswer: 28*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 3:52 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 1 + -1 + 8 + 188. Calculate the greatest common factor of 6768 and x.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 7*v**2 + 16*v - 7. Let q = -13279 - -13270. Give x(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2. Let z(u) = -2*u - 3. Let s(q) = -q - 1. Let i(v) = 3*s(v) - z(v). Give i(j(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 + z**2 - 4*z. Let p(o) = -o - 3*o - o**2 + 0*o**2 + 3*o. Let f(d) = -4*p(d) + w(d). What is the third derivative of f(r) wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -21, 70, 245, 504?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10175 and 121175.\nAnswer: 1332925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (144\/8 - 306\/135*6)\/((-2)\/30)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*p**2 - 122*p**2 - 99*p**2 - 109*p**2 + 421*p**2.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.21 and -0.06007710594?\nAnswer: 0.14992289406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1488042.767 rounded to the nearest one thousand?\nAnswer: -1488000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.204 + -9.204. What is the closest to 0.1 in 1, 1\/4, c, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48788 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -158, -164, -166, -158, -134, -88, -14?\n\"Answer: s**3 - 4*s**2 - s - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let x = 33233\/2964 - 599\/52. Let i = 1\/38 - x. Does i = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -94. Let u(v) = 5*v**2 + 2*v**2 + 4*v - 8*v**2 - q*v. What is u(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -38 + 22 - 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24509, -49017, -73525?\n\"Answer: -24508*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 14 - (0 + -2 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 245260007347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 6.66184?\nAnswer: 53.29472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5134 + -160.0988\nAnswer: 4973.9012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/4 + (-36)\/48. Which is the fourth smallest value? (a) 1\/3 (b) -0.3 (c) -1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/1049 - 2113\/3147. What is the smallest value in -1260, -1\/4, k?\nAnswer: -1260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**7)\/k*k**(-1\/3)*(k*k**(6\/5)\/k*k)\/k*k**3\/k*k)**(-6\/11) assuming k is positive.\nAnswer: k**(-326\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**4 + 4*s**4 + 7*s**4 + (0*s - 7*s**2 + 0*s)*(-30*s**2 + 0*s**2 - 8*s**2 + 2*s) in the form f*s**3 + g*s + u*s**4 + m*s**2 + v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11576\/2037 + -154\/97. Let k = u + -24\/7. Is -3 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 + 2\/(-3). Let x = -1223\/422 + 506\/211. What is the nearest to 0.2 in -0.2, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 159 = -128. Is g a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-15)*4\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(45\/11 - (6 - 2)). Let o(a) = a + a - u*a + 0 + 2 + 1. Determine o(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:22 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1650\/12 + (-3)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 14. Let h(v) = 13*v - 13. Let a(s) = 7*s - 7. Let z(i) = w*a(i) - 6*h(i). Let o(f) = 2. Give -2*o(n) + 2*z(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u + 4*n = -834, 2*u + 3*n - 573 = 0. Let k = -73 + u. Calculate the highest common divisor of k and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**4\/8 - 7*b**3\/6 + 15*b**2\/4 - 9*b\/2 - 144. Suppose z(p) = 0. What is p?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w - 19 = -3*g, 12 = 4*w + 4*g. Suppose -2*o - 3*p + 27 = -0*p, -5*o - p + 35 = 0. Solve w*a**2 - a + 1 - o*a**2 + 0*a + a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 88*d - 37. What is the remainder when 481 is divided by k(-30)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8195.214 litres to millilitres.\nAnswer: 8195214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*l = 32, -4*m + 72 = 5*l - 11. Suppose -m*h + 11*h = -624. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 9*n - 6. What is w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2 + 2*b**3 - 7*b**2 + b**3. Let a(z) = 5*z**3 - 3*z**2. Let m(w) = 5*a(w) - 8*i(w). Factor m(d).\nAnswer: d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcccsfff. What is prob of sequence cs?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5. Let s(h) = -2*h**2 - 68. Determine -s(l) + 6*y(l).\nAnswer: 2*l**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 26*d = 12. Is 1140\/16 - d\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6284720\/32847 - -2\/10949. Suppose 12536 + 115243 = 669*a. Which is bigger: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r**2 - 2. Let l(n) = -208*n**2 + 39. Let z(b) = 39*k(b) + 2*l(b). Let c(h) = 2*h**2 - 1 + 20 - 19. What is c(z(i))?\nAnswer: 338*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 + 115. Let y be 1*(a - -2)\/(2 - 4). Which is smaller: 12\/35 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193605 + -176804.\nAnswer: -370409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6621696 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*m**2 - 34*m + 6*m + 16*m**2 wrt m?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.73673 millilitres to litres.\nAnswer: 0.04073673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8642682499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.21922214 - -0.006\nAnswer: -0.21322214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1281247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1122*b + 468*b + 462*b)*(-4*b + 3*b + 2*b)*(b**2 + 3*b - 3*b).\nAnswer: -192*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -809774*i**2 + 287710*i**2 - 17*i + 17*i.\nAnswer: -522064*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000635 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17293700 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -912*p**2 + 59. Let b(z) = -455*z**2 + 26. Let y(v) = 9*b(v) - 4*o(v). Let u(r) = 2*r**2. What is y(u(f))?\nAnswer: -1788*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 460115448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3310708\/2758915 - 2\/551783. Factor -s*v**2 + 0*v + 0 + 8*v**3.\nAnswer: 2*v**2*(20*v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 151468201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 58.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1279433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 6*k + 30. Let i be s(-5). Calculate the greatest common divisor of 125 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 1\/12*u**4 - 2*u**2 + 4\/3*u**3 - 11*u - 3. Suppose 15 = -2*s + 1. Let k(w) = w**2 + 7*w - 3. Determine s*k(g) + 6*b(g).\nAnswer: -g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*j + 58. Let r(v) = -v**2 - 29*v. Calculate the remainder when r(-26) is divided by j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3523, 2015, -499, -4019, -8545, -14077, -20615?\n\"Answer: -503*h**2 + h + 4025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1985762 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*j - 472, -5*y + 5*j = 2*j + 486. Is y\/128 + 187\/4 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13117 or 61\/4?\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/24 and -113\/210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568 a factor of 20747776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*q + 3*a, 4*q - 4*a = a + 13. Suppose -2*t = -q, 7*x = 4*x - t + 4. Let s = 5 + x. Solve 2*g = -5*p + p - s, -5*p - 3*g = 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 10595 - 3805 = 0. Let q be 1\/((-4)\/k)*(2 + -657). Let b be (-60)\/9*(1 + -1 + q). Round b to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/8*(0 + -10)*4. What is f rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14561.\nAnswer: 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 + 2. Which is the nearest to 0? (a) 0 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 7*a - 1. Let p(v) = -115*v**2 + 15*v - 2. What is -2*d(k) + p(k)?\nAnswer: -113*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -58. Suppose -5*o + g = -2*o - q, -3*o - 5*g = -50. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0416376402 rounded to four decimal places?\nAnswer: -0.0416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7863162 to the nearest integer?\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*a + 2786 - 7275 = 2476 + 2895 for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 20*m**2 + 50*m + 42. Let p be g(22). Suppose 4*r + 3*o = 3*r + 66, o = -3*r + p. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 35*x**2. Let d(n) = 8*n**2 + 0*n**2 + 8*n**2 - 15*n**2. Determine o(d(b)).\nAnswer: 35*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z + 2. Let h be b(2). Suppose 5*j - 3*u = h, -2 = 3*j - u - 10. Suppose -j*n + 30 + 10 = 0. Calculate the least common multiple of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/(6\/8). Let r be -2 - -4 - (3 + t). Which is smaller: r or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5000) + sqrt(350)\/sqrt(7)*2)**2 - ((sqrt(2) - sqrt(160)\/sqrt(5)) + 3 - (-3 + sqrt(96)\/sqrt(12))).\nAnswer: 5*sqrt(2) + 16194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1046, -1050, -1054?\n\"Answer: -4*d - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109\/136 - 5\/8. Are 0 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 13*q**2 - 16*q - 36. Determine n(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4625830.\nAnswer: 2, 5, 11, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k. Let f(x) be the third derivative of -x**6\/90 + 2*x**3 - 3*x**2. Let w(t) be the first derivative of f(t). Give w(h(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11244970*j + 28741623 wrt j?\nAnswer: 11244970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**2 - 2*n**3 - 3*n**2 - 833 + 2*n + 834 + 4*n**3 as f*n**3 + l*n + w + d*n**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210101 (base 3) to base 8.\nAnswer: -2432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -296\/5237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 - 2 + 73159*s - 2619389*s.\nAnswer: -2546230*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 6*g**2 + g + 5. Let v be t(-6). Let j(a) = 8*a**2 - 130*a + 4. Let k be j(18). What are the prime factors of v - -2 - (13 - k)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2)*44\/(-33). Solve -5*b + v = f*v + 23, -4*v + 8 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000520558 rounded to six decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*j - 11004 = -323*j - 79*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3949293, 7898668, 11848043, 15797418?\nAnswer: 19746793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 35 + (-280)\/(-100).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, k: 1}. What is prob of sequence mmk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 14*y - 51. Let t be d(8). Let q be ((0\/t)\/(-2))\/(-1). Factor 2\/11*g**2 + 2\/11*g**5 - 2\/11*g**4 - 2\/11*g**3 + 0 + q*g.\nAnswer: 2*g**2*(g - 1)**2*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-570)\/18)\/(-19) + -3\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 - -181. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 - (6 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 10 + 12)*(v + 4*v**2 - v)*(-68*v**2 + 1558 - 1558) to the form j*v**3 + x*v**4 + n*v**2 + w + y*v and give x.\nAnswer: -4352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 31521702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acacaca. What is prob of picking 1 a and 3 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/9)\/o*o)**(-40)\/(o**(-3\/28)\/o*((o*o*o**(1\/6))\/o)\/o))**1 assuming o is positive.\nAnswer: o**(1357\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(3\/1 + -2). Let j be (-57 - -59) + (-28)\/(1\/1). Let t = g + j. Solve -5*y + 25 = t, p + 5*y = 29 - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1028, -8323, -28124, -66683, -130252, -225083, -357428?\n\"Answer: -1042*u**3 - u**2 + 2*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 4\/1 - (-7 + 1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/7 + -5)*1 + 37. What is the greatest common factor of n and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15590176*f**4 + 250*f**2 + 42796.\nAnswer: 374164224*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Suppose -n + 17 = 2*n - 5*l, -5*l + 10 = 0. Let d = z + n. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (676\/(-338))\/(1*5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)\/(-1*sqrt(11)) - sqrt(99)\/(sqrt(18)\/sqrt(2))) + -1 + sqrt(22)\/sqrt(18))**2.\nAnswer: 10*sqrt(11)\/3 + 284\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*s - 3. Suppose 0 = 3*t - 4*m + m - 6, s*t + 3*m = 12. Suppose t*n = -n + 80. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 262*a**3 - 11*a**2 + 3*a + 11. Let s(m) = 88*m**3 - 4*m**2 + m + 4. Calculate -11*s(y) + 4*u(y).\nAnswer: 80*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w + 20*w - 31 + 130 - 21 - 39. Determine k(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(171) - (sqrt(171)*1)**2)*-1.\nAnswer: -3*sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/25*12\/(396\/(-143))*-1.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 2*r**3\/3 - 31*r**2\/2 - 17*r + 34. Calculate the remainder when j(17) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2039 is divided by 677?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.007 - -0.04858\nAnswer: 0.04158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 634689.6 litres?\nAnswer: 634689600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**2 + 5*u**2 + 4*u**3 - u**3 + 4*u**3 - 4*u**3 + 2*u**3 - 5*u**2 + 5*u**2 + (0*u + 3*u - 5*u)*(-u**2 + 2*u**2 + u**2).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**3 - 5*a**2 + 5. Suppose -2*o - 3*o = 25. Let x(k) = 9*k**3 - 8*k**2 + 8. Determine o*x(j) + 8*w(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4844979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10.1. Let n = 743\/2 - 372. Are n and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 6) + -7 - (7 + -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/15, -0.1, -3\/26, -21, 1, -316, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 5*p - p)*(-2 + 2 + 2)*(-6*p + 19*p + 0*p)*(-p + p - p).\nAnswer: -52*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3660 at least -1639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/272 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 479 = 415. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 2*p**2 - 44. Let y(f) be the third derivative of -f**5\/20 - 2*f**2. Determine y(n(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 681*j - 57725 for j.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3573193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 16*p**2 - 6348*p - 1588 = 0.\nAnswer: -1\/4, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(720) + 3 + -3 - (-1 + (sqrt(720)*3 - sqrt(720) - sqrt(720)))*-2))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 684 and 18.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.646033 - -0.32422. Let y = -81.678 + 82. Let i = h + y. Round i to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 4:24 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1995 - k - k + 2015.\nAnswer: -2*k + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, r: 9}. What is prob of picking 2 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**2 - 8*a**2 - 3*a**2 - 7*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -22. Suppose -u = -6*u + h. Suppose 0*l - 72000 = u*l. What is l rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 16, -160, -4 in decreasing order.\nAnswer: 16, -4, -5, -9, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 95 = 3*i, -175 = -2*k + 32*i - 31*i. Calculate the remainder when 352 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/2052 and -57\/44.\nAnswer: 22572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/9)*w)\/w)**(2\/29))**(8\/7) assuming w is positive.\nAnswer: w**(32\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 11064 = 3*q + 8042, -5*n + 5*q = -95580. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 23*b**2 - 10*b**2.\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2128 (base 13) to base 6\nAnswer: 33141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41412*o*z**2 + 18565*o wrt z?\nAnswer: 82824*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2170 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5041 + 1090 - 8175 - 1386)*((3 + 3*i**2 - 3)*(-2 - 1 + 4) - i**2 - 4*i**2 + 4*i**2) in the form t*i**2 + y + a*i and give t.\nAnswer: -27024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-2)\/(-3))*2280\/114.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pbbpbpgbbegb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23779 - 23781. Put v, 20, -50 in increasing order.\nAnswer: -50, v, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2191 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -546*o + 522*o + 96. What is the nearest to 35 in o, 2, -49?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (21 - (-22 - -17)) - (-7 - 1) - 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/580841 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(416\/(-780)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-273)\/135 - -1 - (-402)\/3015)*-36?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/8 - 3567*b\/8 + 32265\/4 = 0?\nAnswer: -3585, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 94762 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(300) - (1 + sqrt(300) + -1)) + -3)*5 - (0 + -1*sqrt(300)*-5*4 + -5))**2.\nAnswer: 4000*sqrt(3) + 120100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 1618*s**2 - 10.\nAnswer: 1618*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.3, -2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110606 + 17739 = 193*y. Solve -20*w = 685 - y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 53 - 7 = -f, -s + 38 = -f. Let j be ((-1)\/(-2))\/((-5)\/f). Let z = -835\/9 + 93. Which is the third smallest value? (a) j (b) -2\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 243494 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 422*i - 421*i - 18849563. Let a = 9900437 + i. Round a to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**(-2\/31))**(1\/6)*((n**(-2\/5)\/n*n)\/(((n*n**3)\/n)\/n))**(3\/43) assuming n is positive.\nAnswer: n**(-13607\/79980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**16*o*o**(-1\/12)\/o assuming o is positive.\nAnswer: o**(191\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 4877?\nAnswer: 34139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 88\/(-15) + 4\/(-30). Let a be (-8490)\/9*x\/4. Suppose 4*k - k + 2*v = a, 2367 = 5*k - v. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1889 + -1049. Let d = 244 + -375. Let r = d + g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/2309 or 2\/9?\nAnswer: -8\/2309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 372 = 6*n. Let r be n\/(-108) + 3\/(-2). Which is the nearest to 1\/2? (a) -4 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 - 2*x + 123. Calculate r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (37 - 37) + 1*337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 44976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -146718 (b) 0.2 (c) 8\/9 (d) 1 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = -5*i + 118. Let y = 1.37 - -3.63. Which is the second biggest value? (a) 0 (b) i (c) y (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeelaa. What is prob of sequence ala?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 920 and 9160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 13*z**2 + 23*z + 22. What is the remainder when u(-15) is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -3.1 (c) -1\/19 (d) -2\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-2)\/(-2) - 1. Let u = -141 + 707\/5. Which is the nearest to u? (a) d (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259 and 23074717?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(6\/23)\/(t*t\/(t\/t**(-4))) assuming t is positive.\nAnswer: t**(75\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20420742 (base 9) in base 12?\nAnswer: 3354585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*f**2 + 182*f**2 + 326*f**2.\nAnswer: 580*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 12059?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o**3 + 21*o**3 - 9*o**3)*(35 + 22*o - 35) + 0*o**4 + 3*o**4 - 2*o**4.\nAnswer: 463*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10457 (base 14) to base 8.\nAnswer: -114555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from ddnmdxxccdwccm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3 - 3*j + 5*j**2 + 5*j**2 - 5*j**2 + 0*j**2. Let a(t) = -t**2 + t + 1. Suppose n = u + 4*n + 15, -5*u = 5*n + 35. Determine u*a(b) - k(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -952 divided by -238\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 3, t: 4, x: 3, l: 8}. Give prob of picking 1 t and 1 v.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (19 + -15 + 2 - 9 - 11 - -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 86.31495mm?\nAnswer: 0.08631495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/(-15) - -2 - 16\/(-80). Let z = 0.1032 - 5.1032. Let g = -380\/10179 - -1\/351. What is the fourth biggest value in g, -1, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2\/59, 1\/2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*n + 18 + 4, 2*n - 22 = -b. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 3, 0.02, -0.1, -0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4570)\/(-170) + -22 - 4)\/(55\/(-66)).\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 97. Let q(n) = 3*n + 17. Let j be q(2). Factor 6*f + w*f**3 - 21*f**3 - 3*f**2 - j*f**3.\nAnswer: -3*f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3469515814 to the nearest integer?\nAnswer: 58903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + 6 + (12 - 50).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5 + 18*b**4 - 36*b**3 + 30*b**2 - 9*b = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32036 (base 8) to base 3\nAnswer: 200022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61553, 123080, 184601, 246116, 307625, 369128, 430625?\n\"Answer: -3*i**2 + 61536*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k + 6. Let h be t(3). Let j be 63 - (-3 + 2) - 2. Suppose h = b + 4, l - 3*b + 2*b - j = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0*x**5 + 0 + 0*x**3 + 15\/2*x**2 + 0*x**4 + 11\/30*x**6 + 3*x. What is the first derivative of g(s) wrt s?\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 482 - 314 = 0. Calculate the remainder when 108 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -14*x + 10*x. Suppose -5*s - x*o + 5375 = 0, s - 4260 = -3*s + 4*o. What is the first derivative of -s*f + 2 + 1056*f + 13 wrt f?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 + -134. Let g = -40.1 + 40.5. What is the fourth biggest value in g, -4, k, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -303?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3811, 7616, 11421, 15226?\nAnswer: 19031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65c7c8 (base 14) in base 11?\nAnswer: 1a49736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4}. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34322219.\nAnswer: 34322219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 188\/38 - 75\/15. Let h = m - -41\/57. What is the closest to h in 1, -0.4, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 + (-20063)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/(-36) - 22\/(-8). Suppose l = 2, -4*q + g*l = q + 9. Let k = 346 - 1738\/5. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-one halves of a millisecond?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/2793 and 95\/242151?\nAnswer: 32206083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183764414 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h\/(h\/(h\/h**(2\/3))))\/h)*h)\/h)**(32\/5)*(h\/(h\/h**(-11)))\/h*h*h**(1\/2) assuming h is positive.\nAnswer: h**(-187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -5 (c) -2\/19 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/40*0)\/3 - -2. Solve 0*i - s = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b)\/(b*b\/(b*b\/b**(-2\/3)))*(b**(1\/3))**(-4) assuming b is positive.\nAnswer: b**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (3 - (-1 + 3)). Suppose 0 = -3*p - c*u + 46, 0 = -p - 2*u + 3 + 7. What is the smallest common multiple of p and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 48. Let u = -27.00000019 - b. Round u to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3425 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 51. Let i be (96\/18)\/8*342\/4. Let y = i + -56. Is y != z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*n + 1494 = 1472, -6 - 14 = 5*n for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 13179.7 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103)\/14 + 962\/148.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026478669 to five dps.\nAnswer: 0.02648","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14084611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*b + 12, 4*r + 5 + 7 = 4*b. Let g = 4 - b. Calculate the greatest common divisor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.55? (a) 3 (b) -3 (c) -5 (d) 39 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 48*b**2. Let x(l) = 139*l**2 - 4*l + 2. Let w(r) = 1419*r**2 - 42*r + 21. Let g(q) = 2*w(q) - 21*x(q). Determine g(s(f)).\nAnswer: -186624*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 424292396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkwowkk. What is prob of sequence wwk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3.22410075 + 62\nAnswer: 58.77589925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -0.056?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*f - 2 = 8, 4*f - 50 = -3*n. Solve 5*v - n - 5 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2232*c - 2225*c - 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8084 divided by 47.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 3*d**2 - 2*d - 5. Let s be n(-5). Calculate the highest common factor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-14)\/1120*-10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttlttlttttttllt. What is prob of sequence ttl?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -65. Let r = 8.128 + 42.921. Let y = r + u. What is y rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, u: 6, f: 3, v: 3, z: 2}. Give prob of sequence ffcc.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14718 - -6749. Let q = 111669\/14 + j. What is the common denominator of q and 35\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15588*0.22\nAnswer: 3429.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ittottttitttitoittit. Give prob of sequence ot.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1795830 or -1795835?\nAnswer: -1795830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/7 - 74295*d**2 + 22537666800*d\/7 + 112701336000\/7 = 0. What is d?\nAnswer: -5, 86680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73145705*j - 23617583 wrt j.\nAnswer: 73145705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*z - 5*z. Suppose z*o - 11*o = -15. Let i(f) = f + 6. Determine i(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -41. Let o = i - 28.05. What is the closest to 1\/2 in o, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18558 and 4.\nAnswer: 18562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -0.3, 0.3, -3, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 - -97. Suppose 61 = h*v + 28. Calculate the remainder when 4\/(-18) + 371\/9 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -545 + 1255. What is d rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 33410*a**2 - 100234*a + 2. Determine j(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*o + 3*w - 19, o - 3*w = -12. Suppose 10 = -24*z + 23*z. Let f be 10\/z + 8\/9. Which is the fourth smallest value? (a) 1 (b) -0.13 (c) o (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 493879.8 centuries?\nAnswer: 49387.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122160000 rounded to the nearest one million?\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - -1.7. Let i = 0.8 - b. What is the nearest to i in -1\/7, 1, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 2*b**2 - 1. What is the smallest common multiple of 18 and d(-3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1337900 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*k - 0*j + 15, -4*j = -3*k + 20. Let i be 2 + -2 + (6 - k). Let h(m) = 2*m**2 - 6*m - 7. What is the tens digit of h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 436491.6 to the nearest 1000.\nAnswer: 436000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 3. Let i = -408 + 426. Let h be n + 4*3\/i. Which is the third smallest value? (a) -5\/6 (b) 7\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(3 - (-5330)\/(-1794))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -33*d + 180. Determine c so that -18*c**3 + 232*c**5 + 12*c**2 + d*c**4 - 229*c**5 - 3*c**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiiiiiinnni. What is prob of picking 1 n and 2 i?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1896105258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y\/(y\/((y**(15\/8)\/y)\/y)))*(y*y*y\/(y**(-22\/7)\/y))\/y*y*y*(y*y\/(y*y*(y\/y**5)\/y)*y*y)**(21\/5) assuming y is positive.\nAnswer: y**(10547\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 y, and 1 e when four letters picked without replacement from feyfgyfeyceyegyyc.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1456*s + 3399*s - 6166*s)*(-2 + 2 + 2*s) to y + b*s + c*s**2 and give c.\nAnswer: -8446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -1 - 2. Solve -s**4 + 2*s**3 - 2*s**3 + x*s**2 - 2*s**2 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 724 and 289781.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 18564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j - 20. Let c be o(7). Suppose -c*b - 268 = -884. What is the remainder when b is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -3240.\nAnswer: 22680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8961, -8911, -8891, -8901, -8941, -9011?\nAnswer: -9111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 38. Let g be c(0). Suppose -g = -n - l, 2*l = -l + 9. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 3*o**2 + 3*o + 7. Let k be z(-3). Is ((-3)\/k)\/(-1) + 7802\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -404, 2\/5?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -44, 9, -2 in descending order.\nAnswer: 9, -2, -8, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.625516 rounded to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -293207*-6.3\nAnswer: 1847204.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**5\/255 - 7*u**4\/204 + 8*u**2 + 80*u. Factor p(l).\nAnswer: 2*l*(2*l - 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**5 + 86460372*f**4 - 2*f**3 + 186847587*f**2 wrt f.\nAnswer: -120*f**2 + 2075048928*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-147)\/(-18) + -4 - (-7)\/(-42). Suppose 0 = -3*h - f + 1025, h = -p*f + 7*f + 345. List the prime factors of h.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:37 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:43 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3727356446 to the power of 1\/2, to the nearest integer?\nAnswer: 61052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 times -41?\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyq when three letters picked without replacement from aassyayqsf.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**2 - 2. Let v(y) = 5*y**2 - 2. Let b(k) = -4*c(k) + 5*v(k). Let q be b(-4). Calculate the highest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550*q - 1496*q + 277 = 1735 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - f + 1. Let n be -3 + (5 - 1) - -6. Let g(s) = -s**2 + 5*s + 10. Let w be g(n). Is r(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 2.76127.\nAnswer: -0.1932889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 59929303.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2935)\/20545*(-1 - 69).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73229296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 34*n**3 - 2*n**2 + 11*n - 16. Let x be h(2). Calculate the common denominator of (88\/14)\/(x\/189) and 32\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6)\/2*4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (-1802)\/68 - (0 - (5 + 1)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3. Suppose h = 5*x - 5*l - 545, l + 17 = -4*x + 458. List the prime factors of x.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 52 + -16 - 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + y - 1. Let r(o) = -3*o**2 + 3*o + 7. Let m be r(4). Let d = m + 19. List the prime factors of z(d).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/135)\/((4\/18)\/((-12)\/(-72)*8)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 1. Let a(r) = 589*r - 22. Let c(m) = 131*m - 5. Let b(z) = -2*a(z) + 9*c(z). Let s = -2 - -5. What is s*g(o) - 4*b(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182388, -101, 5 in descending order.\nAnswer: 182388, 5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**2 - 129*f + 68. Let g be v(-22). Solve -5 = -g*h + n, -h + 2 + 8 = n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 21960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -934, -2369, -3814, -5269, -6734, -8209, -9694?\nAnswer: -11189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 12*x + 10. Calculate z(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33565d38 + 4?\nAnswer: -33565d34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 87051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -2 (b) -5665\/6 (c) -1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2 - 1605*k - 19404 = 0. Calculate k.\nAnswer: -12, 1617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 3*v**2 + 0*v + 2*v**2 + 0*v + (-3 - 2 + 3)*(-5*v**2 + v**2 + 6*v**2))*(5*v + 0*v - v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*l + 8. Let w be ((-1)\/(-3))\/(4\/l). What is the remainder when 2*(w + (-22)\/(-4)) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1346216 or 1346148?\nAnswer: 1346148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 901 + 587 = 49*k - 33*k. Solve 102*o - k*o = 54 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3305? (a) -2 (b) 2\/11 (c) 1 (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9497045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 30*t**3 - 4*t**2 - 21*t + 15. Does 89 divide m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - h**2 + 16. Let q(d) = d**2 - 23*d + 24. Suppose -16 = 2*n - 6*n, 0 = 4*i - n - 92. What is the least common multiple of q(i) and f(0)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 22 = -3*q, q + 4*v - 170 + 156 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -53*c**3 + 8*c - 9. Let l be s(2). Calculate the remainder when 5\/15*l*-1 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/4*((-198)\/(-4664))\/(-9).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 295613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 8:27 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 64. Is -771*((-2)\/j + 3\/18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c. Let m(v) be the first derivative of -1\/2*v**2 + 0*v - 3. Give m(n(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35665561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 + 0.9. Which is the closest to -2? (a) -5 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 729 divided by -1512.\nAnswer: -27\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 11*z + 2. What is the remainder when p(-12) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -10. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16*(-3)\/((-9)\/15). Suppose -3*u + a = -5*z, 0*u + 76 = 3*u - z. Suppose -8*o + 23 = -3*o + 2*f, -5*f - u = -4*o. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4540 (base 7) to base 8\nAnswer: -3155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002075557805 rounded to seven decimal places?\nAnswer: 0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 109827049.134?\nAnswer: 109827049.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 = 3*k - 12, 3*k + 3*t = 9. Suppose 10 = 10*n - 15*n. Calculate the least common multiple of k and (4 - (1 + n)) + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3\/15 + 2274*b**2\/5 - 1956096*b\/5 + 5766408 = 0.\nAnswer: 15, 1698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 0*v + 0*v - 2*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + 53. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 2*v**2 + v + 4. Let o be d(-3). Solve 0*g = -3*g + 2*k + 9, -o = g - 5*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3934 - -3934.5. Let p be 3*(-2)\/4 + 1. What is the smallest value in v, 1\/4, -2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*q**2*z - 35*b*q**2 + 3014*b*q*z + b*z - 2*b + 8263*q**2*z + 2*q**2 + 2*q*z - 738*z wrt q?\nAnswer: 4*b*z - 70*b + 16526*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 26*f**4 - 657498*f + 657499*f + 57*f**4 + f**3 to the form l + k*f**3 + g*f + d*f**4 + z*f**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1 - 2 + 3 + 1 - 4 + 4 - 2 - 3 + 0 + 1 + (-7 + 2 + 3)*(-3 - 1 + 3) + 1 - 5 + 1 - 3 - 4 + 5)*(-2*f - 2 + 2).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 200330310311 (base 4) in base 16?\nAnswer: 83cd35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 321361\/(-156849)*-21.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + 101110100011110011110010?\nAnswer: 101110100011110100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -q - 3*o - 13, 0 = q + o - 66. Suppose l + q = -37. Let i = l - -152. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 - 32*n**2 + 18*n + 30. Let w(g) = -g**2 - 25*g - 14. Let l be w(-24). Let k be z(l). Solve -2*m = 2*o, -4*o = -0*o - m + k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - (-2 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 351620 and -2.431.\nAnswer: 351617.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1020 - 493. What is the highest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 5, i: 1, h: 1, v: 3, g: 1}. Give prob of sequence va.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + 4\/3. Suppose -l + d*l - 4 = 0. Let w(i) be the second derivative of -i**3\/6 + 2*i**2 - 38*i. Determine w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -33*q**3 + 12*q**2 - 9*q - 5. Let u(k) = -8*k**3 + 3*k**2 - 2*k - 1. What is -9*u(g) + 2*v(g)?\nAnswer: 6*g**3 - 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(((-20)\/(-25))\/(12\/10)). Suppose a = t*a + 36. Let i = a + 22. Put i, -2, -1 in descending order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 16 = q, -2*p = -4*q + 6 + 16. Suppose 2*h + 2*r + 2 = 6, 16 = 5*h + 2*r. Let m(v) = 3*v - v**3 + h*v + 1 - 8*v**2 + 5 - 13*v. Calculate m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 - 1350399*d\/5 - 41859486\/5.\nAnswer: -3*(d + 31)*(d + 450102)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21216 divided by -34\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 125, 238, 363, 506, 673?\n\"Answer: m**3 + 106*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11615258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 4*j**2 - 12*j + 2. Let g be b(10). List the prime factors of 8 + -6 - (g - 1).\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 5999.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.038 bigger than -223\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*l - 1)*(-7*l**2 - 4*l**2 + 3*l**2)*(13*l - 7*l + 20*l)*(3 - 1 + 0) to m + j*l + k*l**4 + q*l**2 + c*l**3 and give k.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = -3. Let z be (-5 + 5)\/(-1 + p). Suppose 2*t = -z*t + 52. Calculate the remainder when t is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (18 - (4 + 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3818 times -517\nAnswer: -1973906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44907, 90488, 136741, 183666, 231263?\nAnswer: 279532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658324 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - m + 7 = 0. Let z(u) = -u - 10. Let n be z(-6). Let r be n + 6 + 28\/(-15). Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101 + 425561?\nAnswer: 425460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -235 in -5321, -2\/3, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979188733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 25*r + 17. Let i be q(-10). Let n = i - -138. Solve -28 = -2*w - n*s, 3*s - 5*s + 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16293 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.25 rounded to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**5 + 31290*k**4 + 30*k**2 - 26271055*k wrt k.\nAnswer: 120*k**3 + 375480*k**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 915739 - 915719.89012. Let y = -19.1 + c. Round y to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/2)\/(1 - -1). Suppose -5*n + 12*n - 217 = a. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4655*b*h**2 + b*h + b - 3*h - 40 wrt h.\nAnswer: 9310*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22537835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence piip when four letters picked without replacement from {i: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17536, 58163, 125874, 220669, 342548, 491511, 667558?\n\"Answer: 13542*y**2 + y + 3993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4dd34 (base 15) to base 5.\nAnswer: 30434344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 - -104b11?\nAnswer: 104aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289217?\nAnswer: 29, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r - 2*r + 4*r)*(-3 + 0 + 5) - 4*r + 2*r + r)*((-4 + 2*r + 4)*(-25 + 25 - 2*r) - 4*r + 4*r + r**2).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278 - -297 - (-7)\/1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*h - 150, 120 = 4*o + 3*h - 8*h. Let y be 3*(19\/3 + -6). Solve -5*z - o = -3*r, 5*z + 4*r - 4 = y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2, -4*i - 5*p - 444 = -470 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7240403198812514 - 89397411.9840416998812514. Let a = 89397413 + n. Let k = a + -1.74. What is k rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3233 + -3233. Let y = -9 + 13. Suppose g = 3*a + 12, 2*a + 220 = y*i - 444. Calculate the remainder when i is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b5f (base 16) to base 11.\nAnswer: 13551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 4. Let k be r(-4). Let m = -34 - k. Is (1 - m) + -1 + -2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324342134 (base 6) to base 8.\nAnswer: 26134112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044143756 rounded to five dps?\nAnswer: 0.00441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uma when three letters picked without replacement from mppmmuaphpup?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272350 (base 11) to base 9.\nAnswer: 721577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/9, -2.9, 0.07, -2\/9, -5.\nAnswer: -5, -2.9, -2\/9, 0.07, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1325965 is divided by 934?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**7\/8820 + l**5\/315 + l**3\/3 + 7. Let k(s) be the third derivative of o(s). Factor k(m).\nAnswer: -2*m*(m - 2)*(m + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/10)*t**(-12))\/(t*((t\/t**(-2\/7)*t)\/t)\/t)**(-26) assuming t is positive.\nAnswer: t**(1507\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 90 = -129, -2*w = -7*l - 95 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 10*f - 12 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.153, -1, -0.3, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -25507?\nAnswer: 254a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*t + 1468*t + 181*t.\nAnswer: 2320*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 6 = -d, -d - y = 4*d - 66. What is the remainder when 137 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63 or 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**6 + 433*d**4 + 361*d**2 + 1?\nAnswer: -240*d**3 + 10392*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -667 - -467. Let x = -996\/5 - v. Let g = -0.1 - -2.1. Which is the nearest to g? (a) x (b) 1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 2\/89, 109\/7, -4, -9, 1\/2?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - 33*r**2 - 64*r - 13. Determine q(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6038 by 19.\nAnswer: -6038\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -u + 3, -3*u + 1 = 5*z - 4. Let i be 15\/(-15) - (z + -7). Suppose -i*c + 244 = -416. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343910.669 + 344057. Round t to the nearest integer.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/6*2\/4. Let i = -273 + 292.9. Let h = -20 + i. What is the closest to h in -0.1, k, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 23*g**2 - 2*g - 22. Let i be x(11). Let o be 66\/i - (-1 - -2)*1. Which is the third biggest value? (a) o (b) 0.4 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-4)*2\/3. List the prime factors of t*1\/((-6)\/(-40)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 50. Let y(c) = -3*c + 4*c + c**f - 10 + 4*c. Let w be y(-7). Sort 0, 5, w in decreasing order.\nAnswer: 5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h - 144 = 24*h. Let m = -6 - -15. Solve -r + h = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23840*o + 7929*o - 4355*o**2 + 313*o**2 + 7779*o - 597*o**2 wrt o?\nAnswer: -9278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.258 * 3.\nAnswer: 0.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 89600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.395 rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-8)\/112*21\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-56)\/133))\/((5\/5)\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 3*k - 1\/10*k**5 - 16*k**2 - 8\/3*k**3 + 0 + 7\/6*k**4. Solve s(z) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5605.0003659 - -5605. Round f to five decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*1\/2 - -1. Let t = -11 - -7. Let p = t + 4.4. Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2975 != -77373\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + -7 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 26 = 4*z, -3*z + 2 = 5*g + 7. Let s be 16*((-5)\/g + 3). Suppose -s*r = -4*r - 8. Let u(m) = 2*m - 1. Calculate u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 380868164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 7*j - 6*j. What is the remainder when j is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15165503?\nAnswer: 3299, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2. Let g(v) = -250546*v - 2. What is g(m(c))?\nAnswer: 1002184*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115391 is divided by 115379?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus -0.1899652776?\nAnswer: -0.4100347224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 - (-14)\/12. Let s be 2*(-8 + 4 - -5). Is n less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 10*d + 13. Let c(a) = -3*a - 4. Let n(l) = l**2 - 10*l + 5. Let j be n(9). Let u be ((-8)\/(-6))\/(j\/(-6)). Give u*o(k) + 7*c(k).\nAnswer: -2*k**3 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = 18 - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1596, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4 = -2*f, 8*d - 2437*f + 2434*f - 36 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 97 = -g, -2*c = -5*g - 4*c - 575. Suppose -65*d - 1001 = -156. Is 18\/g + (-2108)\/d a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11502.1 - 11502. What is the fifth biggest value in 0.011, -2\/11, a, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3*z - 1443 + 1228, z - 172 = -4*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 188, 110, 74, 92, 176, 338, 590?\n\"Answer: 2*h**3 + 9*h**2 - 119*h + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*1 + sqrt(55))\/sqrt(11) + -5.\nAnswer: -5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1381153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*w + 717*w - 6159 = 469*w + 17736 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -478*j + 612 - 612 to t*j + g and give t.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - -528488038579.8?\nAnswer: 528488038579.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20582776.\nAnswer: 2, 19, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -759 - -795. What is the least common multiple of c and 236?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352599362 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 - 5*t**4\/12 - t**3\/2 - 12*t. What is p(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 26 + f**2 - 12 - 10*f**2 + 10*f. Let h be v(-10). Suppose -h = -w + 34. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.003 + -16. Let w = -2.03426061 + 2.03126. Let i = a + w. What is i rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 32*y**3 + 6*y**2 - 100*y + 64.\nAnswer: -2*(y - 16)*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -24. List the prime factors of (4 + 0 + k)*12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -16.\nAnswer: -16, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.0489 + -0.0489. What is the closest to 2\/5 in g, 22, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 28, 68, 124, 196, 284, 388?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {t: 13, d: 3, f: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 668 + -665. Solve 2*r = n, 2*r + b*n = -n + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229588080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 6 = -17*s. Suppose -3*u + 40 = -0*z + 2*z, 0 = -u - 4*z. Which is greater: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6551619 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 6*i - i**2 - 3*i. Let j(o) = o**2 + 6*o. Suppose 5*h - 5*t = 45, -10 = -5*h - 3*t + 11. Let r = 509 - 504. Give h*j(u) + r*n(u).\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8 or 9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 83742\nAnswer: 25\/41871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -219?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -8 - -6 - 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342 by -6.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 + 6 = 0. Suppose -2*p + b*c + 8 = 3*c, 4*p = 4*c + 20. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 597054, 597117, 597178, 597237, 597294, 597349, 597402?\n\"Answer: -p**2 + 66*p + 596989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -1\/330*n**5 - 64\/33*n**3 + 0*n + 9*n**2 - 4\/33*n**4 + 3. Let t(m) be the second derivative of v(m). Factor t(j).\nAnswer: -2*(j + 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*v**2 + 2*v + v**2 - 2*v to h + u*v + c*v**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/144739 and 57\/1157912.\nAnswer: 1157912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*s = -396 + 1936 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 14 - 56 = 0. Let t = -29 - g. Let n be 1*(-4)\/2 + t. Solve 0 = 2*h + 1 - n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 12*x - 24. Let i be m(-12). Let v = 84 + -60. What is the highest common factor of i and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260680 and 1148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97.7*-0.014076.\nAnswer: 1.3752252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 5. Let f be k(4). Let j(i) be the first derivative of 17*i**4\/4 - 592. Let l be j(f). What is the greatest common factor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 2041 - 66206. Let s = -4969 + b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3676 - -2397. Let l = 2186 + z. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) -0.4 (b) 2\/3 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 9 + 27)*(55*o - 31*o + 36*o) to the form c*o + z and give c.\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*p**4\/3 + 205*p**3\/3 + 95*p**2 - 15*p.\nAnswer: 5*p*(p + 3)**2*(7*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 91421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/6*(-29)\/(-1). Let h = -67 - n. Does h = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 = -3*i - 4*g, 4*i + 3*g = -4. What is the nearest to 0.1 in 4, 3\/4, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/15 + 2)*(5578 - 5572)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l**3 + 2*l**2 + 8*l + 7. Let u be f(-5). Suppose -5*g + u + 338 = 0. Suppose w - 3*z = g, -3*z - 225 + 1324 = 4*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322120.\nAnswer: 2, 5, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 286*u + 17. What are the prime factors of g(-24)?\nAnswer: 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*35102181\nAnswer: 38612399.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -30.7. Which is the closest to m? (a) 0.1 (b) 1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3415769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 605, 2555, 5805, 10355, 16205, 23355?\n\"Answer: 650*o**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 0 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 131, 307, 495, 701, 931, 1191, 1487?\n\"Answer: h**3 + 169*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -994 (base 13) in base 16?\nAnswer: -66a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 223, -5, -0.1, -37, 7\/2 in descending order.\nAnswer: 223, 7\/2, -0.1, -5, -36, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9 + 36 = 0. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + -84. Let g = -5 + 12. Let b = g + -11. What is the nearest to f in -1, b, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*4*(-126)\/84. Solve s*a + 39 = -21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14986 + 14982. Does -208\/47 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 7*x**2 - 10*x - 12. Let v be s(-8). Let q be (v\/(-7))\/(6\/(-21)). Solve 0 = l + q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 + (-324)\/(-8))\/4 and (-19 + 8)*(-7)\/(-76)*2.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/11 - 10*h**2\/11.\nAnswer: -2*h**2*(h + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*(-2 + sqrt(468)) - (sqrt(130) + -2*sqrt(130)*-6)\/(-1*(sqrt(90) - sqrt(10))))**2.\nAnswer: -98*sqrt(13) + 31229\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2469 (b) 19 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 40\/(-10) + (-30 - -73).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 9*x**2 + 2*x + 6. Give t(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*n - 18, 4*p + 16 = -5*n - 0*p. Let b be (-13)\/(-2 + (-9)\/n). Let w = b + 52. Solve c + 3 = -w*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -36. Let q be s*1*(-3)\/9. Does -9 = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5612.12 rounded to the nearest ten?\nAnswer: -5610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173118 divided by 3.\nAnswer: -57706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/15)\/(4\/(-430)). Suppose 3*y + 21 = f. What is the common denominator of -47\/11 and (y\/243)\/(4\/6)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -720 or -719?\nAnswer: -719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31680039.4 - 0.26.\nAnswer: 31680039.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 122 + 243 + 75*d**2.\nAnswer: 75*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 785888.1 micrometers?\nAnswer: 785888100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 2*s + 8, -4 = -s. Let p = -11 - -7. Put 1, p, g in descending order.\nAnswer: 1, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4432986 and 2934.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -240 times -5\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290391746, 290391745, 290391744, 290391743, 290391742, 290391741?\nAnswer: 290391740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28170 is divided by 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/4 + 2*w**3\/3 + 4*w**2 + 4*w. Is l(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -40, -0.17, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.106 times -0.2\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**5\/20 - f**4\/12 - 5*f**3\/6 - 16*f. Let k(i) = i**3 - i**2 - 6*i. Determine 5*k(r) - 6*n(r).\nAnswer: -r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**3\/2 - m. Let k(q) = -971 + 971 + q. What is k(t(j))?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 425 and 553248?\nAnswer: 13831200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1324 or 613704\/463?\nAnswer: 1324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (0 + -50 - (-15 - -3)) + 15 - 105?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 27 = 77. Let j = 26 - 25. What is the remainder when 80 + 1 - 4\/j is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 0. Let x be 1\/3 - (-1)\/i. Solve 2*u - f = 3, 3*u = -x*f - f - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by ((-2)\/5)\/(2\/(-40))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 192\/(-128)*(-134)\/(-3). Let p = r + 69. Solve -2*u + 4*l - 22 = 0, -p*u + 10 = -0*u + 4*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -549 - 0.3.\nAnswer: -549.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 612 - -1051. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 4. Suppose -5*b - 13 = -153. Suppose 0 + b = 4*n. Calculate the remainder when v is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26165 + -1648333\/63. Calculate the common denominator of 46\/35 and j.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:22 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 662776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**4\/3 + 2*z - 910. Let f(c) = -387*c + 1. What is x(f(b))?\nAnswer: -599076*b**2 + 3096*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2. Calculate c(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*h + 41024143 = -133826811. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -42, -89, -142, -195, -242, -277?\n\"Answer: k**3 - 12*k**2 - 6*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6037.118mg in micrograms?\nAnswer: 6037118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 5 = 4*q, -4*f - 18 = -2*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 + 276. Let v(y) = c*y**2 - 310*y**2 + 144*y**2. Let m(o) = -2*o. What is v(m(t))?\nAnswer: -92*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -4*k**4\/3 - 2*k. Let y(s) = -s**2 + 2*s + 20. Let i(u) = 9*u**2 - 17*u - 170. Let h(d) = 6*i(d) + 51*y(d). Give h(p(r)).\nAnswer: 768*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4 + 18*o**2 + 2*o - 3 - 2 - 19*o**2. What is x(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2. Let y(k) = 3*k. Let r be y(0). Let u(t) = t - 15*t + r*t - 3*t. Determine u(f(n)).\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-24))\/(2\/(-24)). Suppose g*z - 4*u - 83 = -15, -28 = -2*z - 4*u. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 25*r - 16. Suppose x - 5*h - 1 = 0, -4*h = 3 - 7. What is the units digit of k(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - b**2 + 2*b**2 + 1 - 5*b**3 + 2*b**3. Suppose f + 3*j + 7 = -2, f - 15 = 5*j. Suppose 2*a + 0 - 2 = f. What is d(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4093865?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.04 - -0.04. Let k = w + -1. Let i = k - 0. Sort 4\/7, i, -5 in descending order.\nAnswer: 4\/7, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r*r*(r*(r*r**(2\/27)*r)\/r*r)\/r*r)\/r)\/r*r*(r**(1\/6)*r)\/r)\/(r**(-1\/14)*r**(-3\/5)))**4 assuming r is positive.\nAnswer: r**(22348\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.9 and 8?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 39 = -6*x + 5*c, -3*c = 0. Solve -4*a - 3*b + x = 0, -5*a + 2*b + b = 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456258 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101011101111001010 (base 2) to base 3.\nAnswer: 211102100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-12)\/(312\/(-238))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(1*(-548)\/608 - (-411)\/1096).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/9)*y)**(16\/5)\/((y\/(y*y**(-16)*y*y))\/(y\/(y**4*y))))**45 assuming y is positive.\nAnswer: y**(-602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0776 and -1973.6.\nAnswer: -153.15136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1320?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -1*(sqrt(77) + 2*sqrt(77)))\/sqrt(11))**2 - (sqrt(7)*2 + 2 + (sqrt(7) - sqrt(14)\/(sqrt(2) - sqrt(8)))).\nAnswer: -4*sqrt(7) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:00 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*((sqrt(121) + (2*sqrt(121) - sqrt(121) - sqrt(121))*-5)\/sqrt(11) - (sqrt(110)\/sqrt(2)*-6)\/sqrt(5)))**2.\nAnswer: -56*sqrt(11) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 4*c - 3. Let h be d(-2). Is 133*(2 - h) + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 1565 + 17*r**2 + 0*r - 767 - 798.\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is -2 + -16 + (-160 - -168) + (-5 + 15 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1117*r - 34. Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 792105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 5*f + 111, 5929*f = 5926*f for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2124 and 60.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-766)\/(-594) - (-3 + 474*9\/1458)?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -191310\/821 smaller than -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -15. Suppose y*v + 18 = 2*v + 3*f, -v + 23 = 5*f. Suppose -3*g = -v - 45. What is the highest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 5*b + 2*b - 26. Sort 105, -2, b in increasing order.\nAnswer: -2, b, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -89128*a. Let x(k) = -7*k**2. Determine i(x(n)).\nAnswer: 623896*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 74*t. Let w(i) be the third derivative of -i**4\/3 + 91*i**2. Determine c(w(k)).\nAnswer: -592*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 892.512 - 10.71.\nAnswer: 881.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = 8*a - 50. Suppose -2*m = 10, 2*s + 3*m + 62 = 5*m. Let q = a + s. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (2 + 1)*-1. Let f be (-3)\/(-6) + 51\/p. Let w be f\/((-671)\/(-672) + -1). Round w to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + 18. Calculate the remainder when w is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 46 = -4*l, -5*k = -2*l - 4 - 87. Let p = k - 14. Sort p, 2, 5 in increasing order.\nAnswer: 2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8*(-72)\/3360)\/(2\/7). What is the second biggest value in a, 55, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a4a0 (base 12) in base 4?\nAnswer: -32200320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -6. Let n(k) be the third derivative of -k**5\/60 - 5*k**4\/24 - k**3\/2 - 8*k**2. Calculate n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - i**2 + i + 4. Let t(s) = -s**3 - 61*s**2 + 3*s - 137. Let r(u) = -q(u) + t(u). Find the second derivative of r(a) wrt a.\nAnswer: -12*a - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 2*n. Let r = 2 + -2. Let o = -0.6 + 0.2. Which is the nearest to n? (a) o (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v - 25. Suppose d - v*d = 308. What is the remainder when d\/(-4) + 2\/(-8) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6075 and 615?\nAnswer: 249075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + -2 - (4 + sqrt(63))**2.\nAnswer: -81 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197575686701\/6125370836 + 12\/4061917. Let n = d + -2\/377. Let i = -59\/2 + n. What is the common denominator of -117\/14 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 1\/3*v**3 + 3 + 1\/2*v**2 + 0*v. Let c(z) = -2*z + 2. Let n be c(2). Give q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -36. Calculate the remainder when 66 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4357, 8718, 13079, 17440?\nAnswer: 21801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/163, -0.11, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(((-105)\/2772)\/((-13)\/((-2574)\/(-550))))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 - 229 = -5*k + 2*y, 4*k + 46 = 2*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/12)\/((-2)\/(-30)). Suppose -4*i = 2*r + 2*r - 32, -c*i = r - 36. Let a(s) = 2*s - 9. Calculate a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33613 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 157105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 217, 356, 541, 766, 1025, 1312, 1621?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20867483 and 1644342?\nAnswer: 876434286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175224826?\nAnswer: 2, 29, 20262497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 4e5ee?\nAnswer: 4e5ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 20947.\nAnswer: -93\/20947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336284.\nAnswer: 2, 13, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404 by -2.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -81430*f + 651441. Give z(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 482.3 - 537. Let k = -52 - v. Let i = k - 2.700004. Round i to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-14 - -27 - 22).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3294, -3292, -3290, -3288, -3286?\nAnswer: -3284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43379912020162 + -0.2.\nAnswer: -43379912020162.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 105 + 2 = 2. Solve -4*o + 2*a + 4 = 0, 3*a + 11 = l*o + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t - 1\/3*t**4 + 0 + 0*t**3 + 1\/3*t**2.\nAnswer: -t**2*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2931, 2914, 2897?\nAnswer: 2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7287.862 - -7266. What is w rounded to zero dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.082 - 37.082. Let l = -36.8 - j. What is the second smallest value in 2, -5, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/41 (b) -0.6 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 7 (c) 1\/3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*j + 19, 3*j - 6 = -0*j. Let s(r) = 44*r**2 - r + 1. Calculate the remainder when s(1) is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/35)*h**(-40))**(1\/60) assuming h is positive.\nAnswer: h**(-341\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 5*z + 1, 0 = -4*k + 4*z - 1 - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 8. Let x be l(-7). Sort 2, 3, x in decreasing order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (422\/1899)\/(-7*(-9)\/7371)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1815 times -1\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 39. Suppose -j*i + 6*i = 3*s + 353, 0 = 4*s + 2*i + 474. Let r = 204 + s. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*n - 119*n - 83*n - 130*n - 108*n as j*n + l and give j.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*u - 39042*u**2 + 39042*u**2 - 4*u**3.\nAnswer: -4*u**3 + 172*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5, 2\/49 in descending order.\nAnswer: 5, 1\/4, 2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (292 - 292 - 3*u**2 - 105*u)*(4*u + u**2 - 4*u + (1 - 3 + 4)*(-4*u**2 + 5*u**2 - 2*u**2) - u + 2*u**2 + u).\nAnswer: -3*u**4 - 105*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 37 = -5*n, 80*q - 82*q = 3*n + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/63 - (-8)\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/91 + 46\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 312*t**2 + 905*t + 7197. Calculate w(309).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(850)*6)\/sqrt(2).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-2))\/(50\/(-33500))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/16 and ((-135)\/210)\/((-3)\/(-11)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 621\/2 - 297. Find the common denominator of r and 93\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 11 = 5*u, 9*w - 8*w - 3 = 0. Suppose 2*n + 2*q + 46 = 7*n, -2*n = 2*q - 10. Let b = n + 1. Calculate the highest common factor of b and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 6*x + 5. Let q be j(6). Suppose w - 38 = -18*w. Put -1, q, w in descending order.\nAnswer: q, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 8 = -14*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllmlgllmg. Give prob of picking 1 l and 1 m.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 12. Let g be i(6). Suppose -5*l + 25 = g, z - 2*l - 3 = -l. Solve 3*o = -5*p + 11, 4*p - 3*o = -5*o + z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-193)\/(-98))\/((-12)\/8). Let o = -50\/7 + 351\/49. Let v = g - o. Which is the smallest value? (a) -0.33 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59407 (base 10) to base 5.\nAnswer: 3400112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) + 14\/(-6). Let j be a*(-1 - (-1)\/(-3)). Suppose 0 = -0*d + 5*d + 5*w - 100, d = -4*w + 20. What is the greatest common factor of d and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(33\/(-66)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1)*a)\/a)**(2\/101))**41*(a**2*a\/a**(4\/7))\/(a**(1\/2)\/a)**(-6) assuming a is positive.\nAnswer: a**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -5*g + 5, -4*i = -3*g + 79. Let z = -3 + i. Let p = z + 47. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4 + 232940*m**3 - 1397520*m**2 + 2794960*m - 1863280 = 0. What is m?\nAnswer: 2, 46582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195146930 by 1397.\nAnswer: -139690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34423 - -9037921.\nAnswer: 9072344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58833 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -475 + 270. Let d = 219 + x. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*z - 61*z + 1078 + 8*z - 19*z)*(1 - 1 + z**2).\nAnswer: 6*z**3 + 1078*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -170 - -188. Let s(u) = -u**2 + 2. Calculate the lowest common multiple of y and s(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 833*z**2 + 156442*z - 4. Give l(-547).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/240 - t**5\/120 - 9*t**2 - 3. Factor y(u).\nAnswer: u**2*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/5)\/(6\/(-15)). Suppose 6*l**3 - x*l**3 - l**3 + 6*l**2 + 4*l = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = 6. Let y(n) = -n**3 - 3*n**2 - n + 3. Let j be y(r). Suppose -j*x + 2*x = -28. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1220 = 17*l - 13*l. Is (-3 - l) + -2 - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*q + 51721 = 713*q - 348*q + 6406 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1687*l**2 + 1. Let d be k(-1). Let f be d\/9*(-3)\/1. What is the third derivative of -6*s**2 - 562*s**3 + f*s**3 - 6*s**5 wrt s?\nAnswer: -360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14. Differentiate 2*v**2 - 8 + 2 + v**n + v**2 wrt v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 1:39 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 89 - 639905?\nAnswer: -639816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 925 = -q + 5*i, -q + 0*i = i + 955. What is q rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence logg when four letters picked without replacement from {m: 3, o: 3, g: 1, u: 4, l: 6, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = m, -6*m + 3*q = -4*m + 1. Suppose 0 = -2*k - m + 52. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 9:00 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3356 - 0?\nAnswer: 3356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (11 - 10 - (4 + -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2334 - -2334.000000433. Round t to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -387, -368, -335, -288, -227, -152?\n\"Answer: 7*q**2 - 2*q - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 34*b - 39*b + 101, -2*b = -5*b + 10*c - 317 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005848 rounded to six decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 9:43 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {j: 12, q: 2, v: 3}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 5?\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n - 2*n + 5*n)*(-1 + 0 + 2 - 2 + 0 - 3 + (5 - 5 - 1)*(-1 + 1 + 2)).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 58. Suppose 3*w = -i + 5, 3*w - 2*i - o = 15. Which is the closest to -2? (a) -1\/2 (b) w (c) 0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.34 - 0.46. Let t = 4 + a. Let u = -0.024 - -0.024. What is the third biggest value in u, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.668074 months to centuries.\nAnswer: 0.007223395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*m + 9 = -0*o, 0 = -3*o + 2*m + 60. Let k = 132954 + -132936. Is o != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*(u*u\/(u**(-9)*u)*u)\/u*u)*u))\/(u\/(u\/u**(-2\/11)*u)*u) assuming u is positive.\nAnswer: u**(123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -97\/18 (b) -0.3 (c) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105472 and 7808.\nAnswer: 6433792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 151 times -5\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019446682 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*p + 608 + 958 = 163*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 83*p**2 - 40*p**2 - 3 to o*p + k + y*p**2 and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2 - 13*v + 14*v - 2. Let l be q(4). Solve -8 + l = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -682 in decreasing order.\nAnswer: 7, 4, -682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 911\/1113 - 180\/371. Factor p**3 + 6 + h*p**4 - 7\/3*p**2 - 5*p.\nAnswer: (p - 2)*(p - 1)*(p + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 + 18 = 0. Let s = 17 - y. Suppose s*g = 5*g - 39. Calculate the remainder when 50 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21406000 and 88682000?\nAnswer: 620774000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*x + 2*j + 2*j, -5*x - 7 = 2*j. Let t(v) = -4*v + 4. Let u be t(x). Is 11 a factor of 3\/(-4) - (-364)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 18*m - 2. Let i(t) = -1899*t. Give x(i(k)).\nAnswer: -34182*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 22091762.\nAnswer: 198825858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -55*j**4\/12 - 55*j**2\/2 - 48*j. What is the derivative of o(l) wrt l?\nAnswer: -110*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -4 - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 0 - (1 - -1 - 5)) + (-14013 - -14093)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u + 21. Let j be v(-1). Calculate the greatest common factor of j and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64.77 - -0.13. Let r = -65 + i. What is the nearest to 0.03 in 2, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -9.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98021 and 532.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24244 divided by -116?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 283937.3l in millilitres?\nAnswer: 283937300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -2, -589, -1, 0, 3 in decreasing order.\nAnswer: 20, 3, 0, -1, -2, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2595.96871 to 0 decimal places.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (0 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1. Let d(q) = 3. Let b(p) = -2*d(p) - 5*u(p). Let m(g) = g + 4. Determine -6*b(x) - m(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 19860, -3, 0 in descending order.\nAnswer: 19860, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24648*a**4 + 174*a**3 - a**2 + 12939454 wrt a?\nAnswer: 98592*a**3 + 522*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1287 is divided by 446?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1224006411508 and 0.4.\nAnswer: 1224006411508.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3520)*-1)\/((sqrt(132)*-4)\/sqrt(12)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6 + t**2 - 2 + 8 + 2 - 5*t. Give g(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1667692 and -0.5?\nAnswer: 833846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 155125559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 8*x**2 - 19*x - 18. Suppose -377*c - 66 - 24 = -386*c. Determine j(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 326\/(-11)*(-922)\/8. Let a = w - 3415. Find the common denominator of a and 502\/48 - (-4)\/6.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**2 - 9*i + 11. What is t(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*w + 14, w + 0*y - 28 = 5*y. Suppose -m - 112 = w*m. Let k = 51 + m. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:31 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 764203?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12574?\nAnswer: 2, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.4. Let u = -85054\/3 - -28351. What is the smallest value in o, 2\/11, u, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55842914 divided by -3158.\nAnswer: -17683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86 - (-105 - -28)) + 5 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*o - 7*o = -44, -2*o = u - 12. Suppose -x + u = 4*x. Find the third derivative of -3*l**2 + 5*l**2 + l**3 - 3*l**x wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - q)*(-3 + 3 + 1) - 402*q + 349 - 349 to the form o + g*q and give g.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -229647.478 rounded to the nearest one hundred?\nAnswer: -229600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1414474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -18*s**2 + 130*s - 5. What are the prime factors of r(5)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Let z = 15 + -11. Let q be (5 - 6)*2\/(-9). Which is the nearest to g? (a) q (b) 2\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 13*s**2 + 31*s - 12. Let n be j(15). What is the smallest common multiple of -5 + (149 + n)\/8 and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)\/((b\/b**(-2\/25))\/b))\/((b**(-6)*b)\/(b*b**2*b)) assuming b is positive.\nAnswer: b**(619\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r + 25*r - 64*r - 99*r to the form z*r + v and give z.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/63 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15225c8 - 1a?\nAnswer: -1522615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 322.5, 211, -30\/19?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**2 + 667*s + 8251. Give i(-12).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 35300 in decreasing order.\nAnswer: 35300, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 0*s - 595 = -5*s, 5*z - 450 = 5*s. Solve -94*c + z*c = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78611 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 513*t + 5519. What is w(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*q - 5*o + 5, -q - 1 = -o. Let r = 7.69 - 8.1. Let h = -0.09 + r. Which is the third smallest value? (a) q (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 13*m**2 - 4*m + 36. Give i(14).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.15 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-524)\/(-1965))\/(4\/6))\/(2\/4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, i: 8}. Give prob of sequence ixx.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*b**3 - 15*b**3 - 8*b**3 - 5*b**3 - 4583 - 13*b**3 to v + u*b + j*b**3 + m*b**2 and give v.\nAnswer: -4583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 - 1 - 5*k**3 + 2 to y*k**2 + b*k**3 + c + w*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, m: 1, r: 1, l: 1}. Give prob of sequence mrw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -18573*r**2 + 9288*r**2 + 9285*r**2 - 2*r**3 - 213 + 4*r in the form q*r**2 + l + x*r**3 + k*r and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 138 + 50 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 9*x - 3*x + 521*x**2 - 12*x to the form n*x**2 + v*x + m and give n.\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 847 + -447. What is the units digit of (-1)\/(-3) - q\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 3*h - 3*h + 5. Let s(r) = 13*r - 16. Let p(x) = 7*a(x) + 2*s(x). Calculate p(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171 - 159. Calculate the remainder when 609 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132802 by 4042.\nAnswer: -66401\/2021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*a - 44, -3*m = -8*m + 4*a - 56. Let c(o) be the third derivative of -o**4\/6 - o**3\/6 + 2*o**2. Let k be c(1). Put m, k, 5 in descending order.\nAnswer: 5, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/(9\/(-168)). Let z = -17 + f. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003737909853 rounded to 6 dps?\nAnswer: -0.003738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4 = -3*n, 5*k = -27*n + 25*n + 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*v**3 - 1 + 4 - 9 - 360*v**3.\nAnswer: -281*v**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 919860 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/(-5))\/(2\/(-5)). Let x be (45 - 45)*1\/4*1. Find z, given that z**4 - z**2 + 0 + x*z + c*z**3 - 7\/2*z**5 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1656345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 842508\/52724 + (17 + -1)*-1.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**4\/i*i)))\/i*i*i**7)**(-3)\/(i**(-2\/7)*i*i\/((i*i**5\/i*i)\/i*i)*(i**0\/i)**(-2\/119)) assuming i is positive.\nAnswer: i**(-3776\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 202 - 343 = 0. Calculate the remainder when x is divided by (12844\/1859)\/(6\/33).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**3 + 10*g - 10*g)*(-g + 6*g - 3*g) + 0*g - 2*g**4 + 0*g + (4*g - 2*g - 3*g)*(0*g**3 + 0*g**3 - g**3) + 85*g**4 + 5040 - 5040.\nAnswer: 68*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 341, 570, 799, 1028, 1257, 1486?\n\"Answer: 229*t + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 17*w**2 + 13*w + 40. What is j(16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q**3 + 4*q**2 - 5. Let u be r(2). Let j = 39 - 12. Let d = j - u. What is the greatest common factor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**6\/60 - 2*m**5\/15 - 113*m**3\/3 - 146*m**2 + 2. Differentiate r(w) with respect to w.\nAnswer: 6*w**2 - 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-64)\/16*3\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*c**2\/3 + 103*c\/3 - 8.\nAnswer: -(4*c - 1)*(7*c - 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, a: 7}. 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: Let k be (-48)\/128 - (-10753)\/(-40). Let g = k - -269. Which is the fourth biggest value? (a) -14 (b) g (c) -0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 4 - -16) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 23*w**3 - 2*w**2 + 2*w - 1. What is the remainder when 43 is divided by m(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.088, 0.08 in increasing order.\nAnswer: -0.2, 0.08, 0.088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -218 + 439 - 220 + 54*v. Let j = 2 - -7. Is y(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86.36702 millennia?\nAnswer: 1036404.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/12 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2248 + 2253. Which is the closest to 1? (a) 3\/13 (b) t (c) 2\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223 - 159. Let b = 46 - y. Let v = -23 - b. Sort v, -0.4, -0.5 in increasing order.\nAnswer: v, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916.789 millilitres to litres.\nAnswer: 0.916789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 0.3101?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23769288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -5, -1, -881, 5, -4.\nAnswer: -881, -12, -5, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201398*i**3 + 5*i**2 - 61160*i - 1.\nAnswer: -1208388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 99826549.8.\nAnswer: -99826546.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17 + -4)*(-6)\/(-7). What is the lowest common multiple of -2*4*3\/(-2) and 4\/h - (-364)\/18?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-490)\/18 - (-6)\/27. Let b be 164\/9 - (-6)\/p. Suppose 2*x + 2*t - b = 0, 0 = 5*x - 0*x - 5*t + 5. Solve x*d + 20 = -0*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + j - 7, p + j + 2 = -0. Suppose 2*i + 6 = 5*r, 3*i - p = 3. Solve s = -s - r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46629 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 12*c + 4 - 2.\nAnswer: -12*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2510.575 rounded to the nearest ten?\nAnswer: -2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1520c7 - b?\nAnswer: -1520d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 775 + -780. Let x(v) = -5*v**3 + 4*v**2 - 4*v + 3. Let q(y) = 6*y**3 - 5*y**2 + 5*y - 3. What is o*x(f) - 4*q(f)?\nAnswer: f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m - 4. Let j be v(-4). Let q = -17 + j. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 320 = 4*k, 3*k - 5*d = 129 + 121. Let p = k - 71. Factor -2\/3 - 6*t**p - 16*t**3 - 16\/3*t - 44\/3*t**2.\nAnswer: -2*(t + 1)**2*(3*t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 1:30 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-11)\/v))*v*v**(1\/4)\/v)\/(v\/v**9*v\/(v\/(v*((v*v**(-1))\/v)\/v))) assuming v is positive.\nAnswer: v**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -613*u**3 + 455?\nAnswer: -1839*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 + 4*x - 4*x + (-x**2 + 1 - 1)*(4*x + 6*x - 62*x)*(5*x - 8*x - 27*x**2 + 59*x**2).\nAnswer: 1666*x**5 - 156*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3774 = -2122*g + 2173*g for g.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - y**2 + 1. Let m be o(-1). Suppose -4 - 22 = -m*v. Let s(u) = -u**2 - 16*u - 5. What is the remainder when s(-14) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 53. Suppose 2*z + 2 = b. Suppose 0 = -4*x + z + 13. Solve 3 = -5*t + 2*m - 5, -x*t - 4*m = -16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4 - y + 0*y**2 + 74*y**3 - y**2 + 0*y. Let d = -130 + 127. Let a be x(d). Round a to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -9*o - 11. Suppose -14*m + 21*m - o = 0. Calculate the greatest common factor of m and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20628 by -382.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/3261 and -25\/8.\nAnswer: 26088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 26 = -4*c. Suppose 141 = u + 3*a, -a - c = -5*a. What is the greatest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15007783 - 3536783. Round a to the nearest one hundred thousand.\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -25*h**2 + 45*h**2 - 1124 - h - 19*h**2 + 1126. Suppose 3*w = -0*w. Let r = 3 - w. Calculate i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 629339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22999.\nAnswer: 109, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)\/(w*w\/w**(-1\/5)) assuming w is positive.\nAnswer: w**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2392\/16)\/(3\/6). Suppose -q + 2312 = 3*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 4*g - 388 + g - 106.\nAnswer: 5*g - 626","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (5 - 0 - -3). Which is the closest to -4? (a) -2\/7 (b) 2\/7 (c) 5\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 4*p - 74. Let s = p + -7. Let v = s + 60. Calculate the remainder when 39 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -227691114 to the nearest ten thousand.\nAnswer: -227690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**2 + 2*g. Let z(y) = -828*y. Give z(f(x)).\nAnswer: 5796*x**2 - 1656*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*450.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 79*y**2 - 249*y - 497. Calculate the lowest common multiple of j(-2) and 9.\nAnswer: 2853","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34\/3)\/((-65)\/((-2925)\/(-30)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 16829*k - 4*k**2 - 16829*k. Let d(m) = -3*m. Determine q(d(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 4:19 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2377.\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -48.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2767\/1128 + 129\/47. Let s(i) be the third derivative of 7\/60*i**5 + 1\/6*i**3 + 0 + 0*i - 1\/120*i**6 - t*i**4 - 9*i**2. What is s(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/4, 22961649.9?\nAnswer: 22961649.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 299455\/8 at most as big as 37433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:48 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -5 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16704 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i**2 + 21*i - 21*i)*(921*i - 732 + 732).\nAnswer: 16578*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -116*i + 1665. Does 13 divide p(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 136120275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 18*o + 0*p = -41*o + p + 27, 64*o - 3*p - 133 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2486 divided by 4.\nAnswer: 1243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0107176 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1358*i**2 + 16*i - 29. Is g(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1349 + -1344. What is the third biggest value in 1\/3, 2, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -184, -765, -1738, -3103, -4860, -7009, -9550?\n\"Answer: -196*o**2 + 7*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -14 + 11 + 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-1\/12))*p\/p**(3\/5))\/(p\/(p\/(p\/p**(-2\/17)))*p*p**7) assuming p is positive.\nAnswer: p**(-8807\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*a - 25040, -30*a = -3*h - 34*a - 15022. Is -5009 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0449307284 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51828972731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -83.13. Is y at most as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -693*z**2 - 1. Let h(g) = g**2. Calculate j(h(f)).\nAnswer: -693*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*o = -1135 + 1395 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 228165894 to the power of 1\/2, to the nearest integer?\nAnswer: 15105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17991322*h**2 - 35982645*h**2 + 4*h**3 + 17991323*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -5, 32033 in descending order.\nAnswer: 32033, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(0 + 1 - 3)*(-5 + 3 - 6)*(-17 + 17 + 3*j**3).\nAnswer: 96*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21833 = 11*y + 3606. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 + -420645293465.\nAnswer: -420645293463.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -1010?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 8904391?\nAnswer: -7\/8904391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/4 - 323*o**2\/2 - 12992*o + 114400 = 0. Calculate o.\nAnswer: -550, -104, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/i*i*(i*i**0)\/i*i)\/(i**3\/(i*i*i**0*i))*(i**(2\/5)\/i)**(-36)*i*i**(-3\/8)\/i*i*i**(-1\/4) assuming i is positive.\nAnswer: i**(679\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7129141769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 25) + 14 + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4\/147 (c) -1 (d) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((72\/20)\/(-2))\/(174\/(-236060)). Are 2444 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ec1 (base 16) in base 12?\nAnswer: 4681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 99 - -20?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0 + 9\/2*s**2 - 1\/60*s**5 + 1\/4*s**4 + 3\/2*s**3 - 13*s. Let d(h) be the first derivative of o(h). Give d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 3*m**2 + 5*m. What is p(-4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*f + 10, -3*d + 0*d - 7 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -638 - -638.51. Let x = -1.49 - l. What is the closest to x in 1, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110239898*l**2 + 326441357*l.\nAnswer: 220479796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 8:11 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 88889*p + 2. Suppose v = 3*v + 18. Let n be g(v). Let c be (n - (-1 + 0)) + -2. Round c to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03343347 to five dps.\nAnswer: -0.03343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 2 - 8192\/(-32). Calculate the common denominator of -23\/6 and 96\/s*(-214)\/(-333).\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81 or 11012?\nAnswer: 11012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(7) - (sqrt(252)\/sqrt(4) + sqrt(63))\/sqrt(9)) - (sqrt(42)\/(sqrt(96) + 2*sqrt(96)))**2.\nAnswer: -sqrt(7) + 137\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5 = 5*y - 0, y = -3*i - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194900 - 58572 - 186512 = 8155*p + 7497*p for p.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 344365291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -2*b + 4*k, k - 4*k = b + 31 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = -15. Suppose m = t + 4*t - 59, -3*m = -g*t + 67. Suppose -t*u = -9*u - 18. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 9, f: 1, p: 4}. What is prob of sequence ep?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.25 from -0.3037848891.\nAnswer: -0.0537848891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -122*j**2 - 4*j - 359. Let c(u) = 508*u**2 + 17*u + 1438. Calculate -6*c(b) - 25*m(b).\nAnswer: 2*b**2 - 2*b + 347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 + 43?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/3*(6 - 3). Let r be (j\/54)\/((-6)\/(-9)). Let y = 14 + -111\/8. Which is the third biggest value? (a) r (b) y (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88\/3 - 29. Factor -q*p**3 - p + 1\/3 + p**2.\nAnswer: -(p - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110000001 (base 2) to base 5\nAnswer: -21114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.7502105 rounded to zero decimal places?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 1. Suppose -2*j = -9*j + 42. Let h be 1 - 3\/j*-62. Suppose -37*o = -h*o + 30. Give t(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -26. Factor 3*p**u + 3*p**2 + 6*p + 9*p**2 + 27*p**3 + 15*p**4 + 9*p**2.\nAnswer: 3*p*(p + 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 127*f - 126*f + 0 - 1 + 6. Let o be k(4). Solve 2*a + a = -o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/16*-4)\/((-165)\/20).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375.262 grams in milligrams?\nAnswer: 1375262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*p - 677*p - 4*b + 34 = 0, -2*p = -2*b + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 2*h)*(2*h**3 + 4*h**3 - 5*h**3) - 123*h**3 + 26*h**3 - 5*h**3 - 3*h**4 + 2*h**4 + 0*h + 0*h.\nAnswer: -2*h**4 - 102*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72969 - 43538. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 33*s + 1829 = 5*w, -s = 2*s - 2*w + 121 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 64*f**2 - 10*f + 16. Let m be v(10). Suppose 1316 = -20*z + m. What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**3\/6 + 7*j**2\/2 + j. Let d be u(-5). Find the first derivative of -y**3 - y - d + y wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*j + 22 - 6, -4*h = 3*j + 16. What is the units digit of 379 - (h\/(-10) - (-32)\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -65*l - 318. Let b be m(-5). Suppose 5*j + 15 + 5 = 4*v, 2*v - 10 = -4*j. Is b not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = 7*q + 341. What is the remainder when 62 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-1 - 12\/(-6). Let l be (-6)\/12 - 9\/(-2). Solve -l*t + 2*t - 10 = o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*a + 2, -3*p = -3*a + 9. Let y be (-19)\/5 + p\/(-5). Let k = 6 + y. Let s(c) = -2*c + 3. What is s(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166276 at least -166279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5726882 divided by -2863441?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -3 (b) -5 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 218\/5. Let z = -14 + 13.9. Let a = -0.9 + z. Sort a, 3\/4, x in ascending order.\nAnswer: a, x, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119.7 + -198.8. Let z = 319 + w. Let l be -1 - (7\/(-6) - 0). Which is the second smallest value? (a) z (b) 7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111050 + 39146 = -214*z. What is the remainder when z is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1720, 1710, 1704, 1702, 1704?\n\"Answer: 2*n**2 - 16*n + 1734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.183959 + 0.016041. Suppose 2*w = 5*m + 18 + 5, 0 = -4*m - 4*w - 24. Which is the fourth biggest value? (a) q (b) 21 (c) -4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 3 (c) 0.5 (d) -0.2 (e) -1237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, -4, 7\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3630900 by -907725.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3283228, 6566453, 9849678, 13132903?\n\"Answer: 3283225*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.516 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p + p - 4*p. Let l(h) = -h. Determine m(l(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 9*i)*((-1 + 1 - 3*i)*(-3 + 0 + 2) + 2*i - 2*i + 2*i).\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 9*z**2 + 14*z - 3. Let n(j) = 3*j + 2. Let x be n(-3). Let d be f(x). Let a = d + 6. What is the greatest common divisor of 24 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007455 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/1243143290?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1539454 divided by -769727.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l + 6. Is j(-10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 777842242 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/4)*q**(-5)*(q**(-1)*q)**(-14))\/(((q**0*q)\/q)**(1\/10)*q**(2\/11)\/q**5) assuming q is positive.\nAnswer: q**(25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 - 128*o**2\/9 + 544*o\/9.\nAnswer: -2*o*(o - 4)*(o + 68)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -7 + 1 - -3. Suppose i = -5*g + g + 16. Suppose 0*t - g = -t, 4*m + 4*t = 72. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 714491765 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1009 + 527 - 435*p**3 + 1639*p + 66*p**4 + 456*p**2 - 3*p**5 + 857*p.\nAnswer: -3*(p - 8)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/40*(-10)\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/370)\/(40\/(-14060)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 1637*b - 1635*b + 891, -3*c = 2*b - 891. Calculate the highest common divisor of c and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-70)\/(-15)) + 53246\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93*n**3\/2 - 768555*n**2\/2 - 793926612*n - 25610136.\nAnswer: -3*(n + 4132)**2*(31*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25\/13 + -49\/39. What is the closest to 4 in 5, 15, l, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 0)\/1*-3. Let s = -58 + 56. Let r be (5 - z) + 2\/s. Solve 3*l - 2*l - r = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28595*g**4 + 68454?\nAnswer: 114380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561\/(-12)*(0 - (-8)\/(-2))?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1059168981 to the nearest integer?\nAnswer: 32545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5 + (-88)\/220?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223 - 300?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 645 and 107285.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135 * -692103.\nAnswer: 93433905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22471 divided by -6?\nAnswer: 22471\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - 3*p - 2*p)*(5 + 27 - 3)*(14 - 2 + 21) in the form i + u*p and give u.\nAnswer: -4785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 16*b - 10444. Suppose -b = -5*p - 2*k, 2*p = 5*k + 301 + 726. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10362, -10387, -10430, -10497, -10594, -10727, -10902?\n\"Answer: -a**3 - 3*a**2 - 9*a - 10349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 - 9*l**2 + 15*l + 81. Let k(r) = -r. Let q(v) = v - 7. Let h be q(6). Let n be 1\/1 + (3 + -4 - -12). Let i(x) = h*c(x) + n*k(x). Factor i(w).\nAnswer: 3*(w - 3)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92494 = 5*c - 3*w, -72*w - 18508 = -c - 76*w. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 48. Let a = -15 + t. Is -1\/24 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 260 + -245. Find the third derivative of -22*f + c*f + 7*f - 21*f**3 - 1 - 9*f**2 wrt f.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863 rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*sqrt(192).\nAnswer: 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Let q = 0.13 + -0.43. Is h bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -118889.8 from 734.\nAnswer: 119623.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, d: 2, i: 4}. What is prob of picking 3 c and 1 d?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -23*(8\/(-24))\/((-2)\/(-12)). Suppose -o*y + 49*y = 54. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 3, a: 2, j: 3, v: 1}. Give prob of sequence ah.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 + 9*d + 2. Let m be p(-9). Suppose -13*j + 18*j = m. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*z - 104 + 19, 5*z = -x + 117. Suppose 2*a - 41 = -2*g + 3*a, -4*g + x = a. What is the highest common factor of 23 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7))\/((-8)\/56*58).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1370018717?\nAnswer: 1370018717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00060469 rounded to 5 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1111174955 divided by -5\nAnswer: 222234991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8 + (-2256)\/192.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9, -120, -409, -858, -1467, -2236, -3165?\n\"Answer: -80*v**2 + 111*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.039, 5, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:11 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2\/(-6))\/(1\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 950602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8 = a - 40, -2*a + 42 = 4*k. Let f = 15 - k. List the prime factors of (-126)\/f*4\/(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2489277*x**4 + 8644244*x**2 wrt x.\nAnswer: -59742648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1088 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66.15 - -12.05. Let i = a - -54.0621. Round i to 3 dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 56. Let j(y) = 0 + 8 + 1 - 2 + y. Calculate j(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/4 - 102071*r**3\/4 + 2604469147*r**2\/4 + 7814326107*r\/4 = 0 for r.\nAnswer: -3, 0, 51037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7805738 to the nearest 100000.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63658 is divided by 21218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 495*z. Let c(m) = -360*m + 1. What is c(r(p))?\nAnswer: -178200*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3348783 rounded to 3 dps?\nAnswer: 6.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a8 (base 12) to base 13.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 1. Let j be (-1 + 5\/(-2))*-2. Let c(l) = -21 - 6 - 16*l + j. Let s(o) = -c(o) - 20*m(o). Let f(z) = -2*z. What is f(s(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4 + 142998*i**3 - 1992968*i?\nAnswer: 24*i**2 + 857988*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-5))\/((18\/(-10))\/(20574\/(-1524)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -34. Solve 12 = -3*d, -t - 3*d - r = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 10*p**2 + 19*p + 4. Let m be g(5). Let o be (-1 + -5)\/(-2) + (-24 - m). Put o, 4, -9, -4 in descending order.\nAnswer: o, 4, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 3. Let r be q(-7). What is the highest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**4 - 7*s**2 + 231.\nAnswer: -4*s**3 - 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*v - 411*v = -153946. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47443458?\nAnswer: 2, 3, 1117, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86\/25 - 376\/225. Let v = 2 + -5. What is the common denominator of v and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(45) + -5)*3 + (2*sqrt(25)\/sqrt(5) + 2*sqrt(605))*6)**2.\nAnswer: -3672*sqrt(5) + 117189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-773)\/126 + 2\/(-9) and -127\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 3:56 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 10 - k**2 + 15 - 10*k - 7*k - 5*k. Let j be w(-12). Solve -j = 5*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403351 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 7480776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/3))**9*f**(-1\/11)*f**(1\/5)*(f\/(f*f**5*f)*f*f**(2\/5))\/(f*f**(-2)*f\/f**(2\/9)) assuming f is positive.\nAnswer: f**(3827\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbpblzzbp. Give prob of picking 1 l and 2 p.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84094 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*a - 17 = 0, 0 = -4*a + 6 + 2. What are the prime factors of (k - -2 - -5) + 22?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2771641 = 5*h + 7*u - u, -h + 554325 = 2*u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, 83.45 in descending order.\nAnswer: 83.45, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12*(-4 + 26\/6). Find the third derivative of -7*j**2 - 2 + 2 + 7*j**y wrt j.\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0*h**3 + 0*h + 1\/30*h**6 + 1\/60*h**5 + h**2 + 0 + 0*h**4. Find the third derivative of c(n) wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 624.\nAnswer: 124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 40*n - 35. What is x(7)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:00 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -3) + 360\/72\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -389144781.\nAnswer: 389144780.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyv when three letters picked without replacement from {y: 10, v: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046829191.\nAnswer: 1046829191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 + 15*o - 25. Let q(n) = 5*n**2 - 15*n + 25. Let r(f) = -2*q(f) - 3*y(f). Let g be r(13). What is the highest common factor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.738 rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5192 divided by -5272.\nAnswer: 649\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.28 + 0.52. Let w = o - 5. Which is the closest to 1? (a) -1\/3 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 6000541?\nAnswer: 6000543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 13\/3*t**3 - t**2 + 37 + 51*t. What is the first derivative of p(n) wrt n?\nAnswer: 26*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = j. Let y(r) = r**3 - 4*r**2 - 3*r + 4. Give y(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3548, -7212, -10876, -14540?\n\"Answer: -3664*i + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204467*b**3*r + 4*b*r + 5*b - 599 wrt b.\nAnswer: 1226802*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*v**6 + 27*v**2 - 2*v?\nAnswer: 22560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1299920 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 684038 + -364425. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -173 in -3, 11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -667 divided by -417505?\nAnswer: 667\/417505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -28. Let z = w - -22. Let m be (z\/35)\/((-1)\/(-5)). Solve 0 = -5*d + m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49547224*y**3 + 443369559*y**2?\nAnswer: 297283344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1216 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587245.1ms in minutes?\nAnswer: 26.454085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -23?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p**2 + 112*p + 565. Give r(-5).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f + 7. Let x(q) = q**3 - 9*q**2 - 11*q + 11. Suppose -4*j = -8*j + 40. Let p be x(j). Let b(n) = 2 - n + p + 0*n + 4*n. What is -7*b(a) + 3*o(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1036460 (base 8) in base 13?\nAnswer: -995ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143 a factor of 1107567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(9\/7)*y**35\/y*y)\/(y**(-2)\/(y*y\/y**6)))**(7\/2) assuming y is positive.\nAnswer: y**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.1. Let x = -225752 - -225751. Which is the third biggest value? (a) 2.7 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from ssiaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30709.9500048 + -30710. Let n = a + 0.05. Round n to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -133?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + -5 - -4 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837 greater than 3836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + -1 - 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/21)\/(50\/35). Let r = 48 + -43. Which is the nearest to i? (a) 0.1 (b) -2\/5 (c) r (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -24, -39, -60, -87, -120?\n\"Answer: -3*u**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12248521*k**5 - 3784124*k**2?\nAnswer: -734911260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424406 is divided by 258.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -12. Solve -5 - j = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -4 + -17 + -1 + (20 - 13).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1225200 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3785 + 21556 = -2*m, m = -4*b - 14215. Is 12\/54 + b\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2339.98046 + -2340. Let i = h + 0.019542127. What is i rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13\/3)*r*r*r*((r\/(((r*r*r\/(r**(-22\/3)\/r))\/r)\/r))\/r*r*r)\/r)**10 assuming r is positive.\nAnswer: r**(-290\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -600 + -4?\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -178812875 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170390*s**2 - 265*s**3 + 286*s**3 - 170390*s**2.\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -3260)\/(0 + -2 + 3). Suppose -f = -9*x - 93. What is the greatest common divisor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -176. Suppose 5*m + a - 214 = 3*y, y - 29 = -m. Solve -3*c + 5*f = -m, -2*c - 2*c + 28 = -4*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 10) in base 4?\nAnswer: 3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 366170 and 1025276.\nAnswer: 5126380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*u**5 + 0 + 0*u**2 + 0*u + 0*u**4 + 2\/5*u**3.\nAnswer: -2*u**3*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500 = -32*b + 506 - 774 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4154 + -3950. What is the least common multiple of m and 476?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200101011 + 12?\nAnswer: -200100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11214580 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -225312 divided by 75104\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + 2 + 3*(sqrt(396) + -2*sqrt(396)) + 3 + 5*2*sqrt(396)*2)**2.\nAnswer: 1428*sqrt(11) + 114493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001151 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 92. 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 293610433 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 5*r**2 + 8*r - 16. Let n be h(-8). What is the highest common factor of n and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193 and 197632?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35501 and 143901?\nAnswer: 18851031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - (-6)\/(-28). Let y = -1231.9 + 1137. Let u = 95 + y. Which is the second smallest value? (a) u (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + -20 + (8 + -9 - -24).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 12*u. Suppose 16*b - 19*b + 21 = u. What is the highest common divisor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28 - 22 - (-12)\/1. Solve 19 + 35 = q*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/14)\/((2688\/21)\/(-2688)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 13*f**5 + 1107*f**4 + 10791*f**3 + 2765*f**2 - 129696*f - 19980 = 0.\nAnswer: -74, -9, -5, -2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 2*n**7\/105 - 26*n**6\/15 + 146*n**5\/15 + 26*n**4\/3 - 98*n**3 + 3*n**2 - 69. Suppose y(r) = 0. Calculate r.\nAnswer: -1, 1, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-788)\/7092*684\/4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 440928645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 10:11 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m + 6. Let f(w) = -110*w - 65. Let z(a) = 6*f(a) + 65*n(a). Let v(g) = 3*g. Calculate v(z(u)).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/24*4\/(-24).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -13*p**2 + 2*p**2 + 2 + p**3 - 18*p + 4 - 6*p**2. What is the smallest common multiple of a(18) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23449253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16319555247 - -0.3.\nAnswer: 16319555247.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 20 = -8*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 n when three letters picked without replacement from {m: 4, n: 3, r: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-15))\/(1 + 0). Suppose -f + 5*f + 28 = m. Let b = 49 + f. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-14))\/(5\/35). Suppose -n*g + 7*g = 2. Suppose 59 = c - z, 3*c = 6*c - g*z - 173. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-8) - ((-10)\/8 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 10*f - 8. Suppose -5*x + 2*x - 18 = 0. Is 16 a factor of a(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, 0, 1816.\nAnswer: -4, -3, -2, 0, 1816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -178308, -356620, -534932, -713244, -891556, -1069868?\n\"Answer: -178312*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 946348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + 131. Suppose 0 = -5*k - 2*a + 98, 5*k = a - 2*a + 99. Calculate the highest common factor of s and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 2 + 66*b + 46*b - 111*b. Let s(z) = z**3 + 4*z**2 + 2*z - 3. Let w be s(-3). What is l(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**12*r**12\/r)**(-41) assuming r is positive.\nAnswer: r**(-1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*q + 2*q - 39, -3*q + 3*l = -45. What is the remainder when 130 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -6) + (-21 - -15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdddtdddddottotdxo. What is prob of picking 1 o, 1 d, and 1 x?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320667073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Let s(z) be the first derivative of z**4\/4 + z**3 - 7*z**2\/2 - 8*z - 15. Let y be s(-4). Sort k, y, 5.\nAnswer: k, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1302b (base 15) to base 2.\nAnswer: -1110110101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012219361 rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 30*n - 20. Is k(4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10*k - 16. Let w be (2\/7)\/((-144)\/(-28) + -5). Let f(b) = -b + 1. Let r(s) = w*y(s) + 22*f(s). Differentiate r(q) with respect to q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/13, 0.3, 19\/264, -1.01?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.597 + -0.063. Let m = 10.74 - b. Let j = -5.1 + m. Round j to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3 - 318*z**2 + 58410*z - 1928474 = 0.\nAnswer: -277, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434981119 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 586311881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -3 + 292487\/(-140). Let d = o + 14582\/7. What is the common denominator of d and 55\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -5 + (0 - 1). Let u = z + 0. Let l be 1 + 1 + (u - -2). Solve l = 5*j - m - m + 23, j = -3*m - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 14 = -5*q - g, 17 = 4*q - 5*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + (9 - (8 - -2)) + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19788 divided by -31232\nAnswer: 4947\/7808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 146334 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: Collect the terms in -481341 + 481341 + 24*o**3.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6764 - 6759.993. Let h = -20 + 16. Let a = h + s. What is a rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13104 (base 7) to base 10\nAnswer: -3483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**2 + 22*s - 49. Let h be i(-18). Let b = h - 1459. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 538*p**5 + 2*p**3 - 1500*p + 8.\nAnswer: 10760*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**10\/j)*j)\/j**4)\/((j*j*j**2)\/j)**(-1\/55) assuming j is positive.\nAnswer: j**(-602\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6356, -8632, -10908?\nAnswer: -13184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h. Let j(g) = -19*g + 9*g + 19*g. Calculate t(j(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13436563 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/43)\/(-1))\/((-2)\/(-28)*-14).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 9, -1.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**7\/210 - 7*w**4\/3 + 142*w**3\/3 + 333*w**2. Find the first derivative of i(x) wrt x.\nAnswer: -4*x**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -24.074\nAnswer: 23.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*z + 30 = -3*f, 0 = -3*f + z - 16. Let i = -1 - -0.7. Which is the third smallest value? (a) 5 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 5*z - 6103 = -9*x, -2029 = -x - 3*z. What is the highest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 28 = -j, j - 9 = -2*v + 19. Let k = 67 - j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -817 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*p - 377 = -402, c = 2*p + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 16, -29, -5 in decreasing order.\nAnswer: 16, 1, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*3\/(-348)*6?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*i**2*l*q**2 + 144*i**2*l + 13*i**2*q + 1073769*i*l*q**2 + 54*i*l*q + 7*i*q wrt q.\nAnswer: -30*i**2*l + 2147538*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*u - 5*u + 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 3:21 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16731 divided by 205?\nAnswer: -16731\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24647 and 21126.\nAnswer: 147882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -4. Solve -m = 3*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*d + 0*d = -26, 20 = 4*t - 2*d. Let q = t + -3. Suppose q*f - 17 = -2. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -12*x**2. Let a(j) = 5*j**2 + j + 28. Let p(r) = -22*r**2 - 3*r - 119. Let u(l) = -17*a(l) - 4*p(l). Determine u(k(n)).\nAnswer: 432*n**4 + 60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -114, -49 in decreasing order.\nAnswer: 51, -49, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 9, b: 5, z: 2, l: 1}. Give prob of picking 2 b.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c0ae (base 15) to base 10.\nAnswer: 192539","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Add together -26 and -1.26351701.\nAnswer: -27.26351701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 951632 and 1789717?\nAnswer: 5407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 834166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2740663 is divided by 42164.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 90*b**2 - 13*b + 30. Is t(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*2*51\/(6120\/(-1040)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/4, -268\/13 in decreasing order.\nAnswer: -1\/4, -4, -268\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 + 3 = 0. Suppose c - 56 = -c - z, t*z + 118 = 5*c. Suppose -c = s - 3*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 8*r. Let s be p(8). Which is the closest to s? (a) 4 (b) -1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15011.75 micrograms in grams?\nAnswer: 0.01501175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 15) + 10 - (-4 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 8:57 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 343262 + 4?\nAnswer: 343266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 = -5*j, 3 = -4*j + 3*m + 6. Suppose j = x - 0 - 2. Suppose 117 = x*z - 3*u, -5*z - u = -0*u - 284. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/15708 and -179\/109956.\nAnswer: 109956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0*z - 12*z**2 + 0*z + 5*z**2.\nAnswer: -7*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2440 and 1623820?\nAnswer: 3247640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3234140 - -1412?\nAnswer: -3232324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -736, -713, -706, -721, -764, -841?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 106, 173, 258, 367, 506, 681?\n\"Answer: g**3 + 48*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 26. Suppose 0 = -3*i - b - 7. Let d be 0 - (8\/2 - -1). Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k = -11*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 5*t - 2*t)*(-39 + 23 - 17)*(3 - 3 + 1) to the form a*t + s and give a.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-10) - 2\/10. Let i(d) = 3*d + 1. Let h be i(l). Solve h*n = 7 - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 11:07 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 18 + 20 + l)*(0 + 0 + 3*l).\nAnswer: -6*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26306 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -26222600?\nAnswer: 26222600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3\/4 - 7335*u**2\/2 - 2406687*u\/4 + 605340 = 0?\nAnswer: -4720, -171, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 6. Suppose -4*t = 2*j - 8 - 6, -2*t = -5*j - 1. Let p be o(t). Let c = -10 - p. Solve -d = -c*r + 4*r - 9, 3*d + 4*r = 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**3\/3 - 2*y**2 + 3*y - 10. Let o be z(-4). Suppose -w + 150 = 2*w + o*b, 2*b = 6. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/199 + -1274\/995. Let c be (-27)\/9 - (-75)\/27. What is the closest to -0.1 in k, 1\/6, c, 1\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*l - 72 = -61*l. Calculate the lowest common multiple of l and 3756.\nAnswer: 3756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 1117*i**7\/210 - 207*i**3\/2 + 23*i**2 - 5. What is the derivative of b(p) wrt p?\nAnswer: 4468*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 + -259. Let u = 369.999735 + k. What is u rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2310765?\nAnswer: 3, 5, 127, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) + 260\/117. Let q be (2 - 1)\/(i\/8). Sort 1, q, 5 in descending order.\nAnswer: 5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12107260 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -357, -712, -1067, -1422, -1777, -2132?\n\"Answer: -355*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 41.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4\/850767437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10802 + -3?\nAnswer: 10788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24639 - 24639. Let a(r) be the third derivative of -1\/40*r**5 + 0*r**6 - 38*r**2 + 0*r**3 - 1\/24*r**4 + 1\/420*r**7 + l + 0*r. Factor a(d).\nAnswer: d*(d - 2)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/8*(-2)\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 448 = -19*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 4*j - 6*j. Suppose 4*w = m + 2, 5 + 3 = 5*m - 2*w. Suppose -2*z + j = m*y, 0*z + 3*z = 3*y + 51. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*p**4 + 4*n**2 - 152*n*p**3 + 9*p**2 wrt p.\nAnswer: 24*n**2*p - 912*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -747*a**3 - 4*a**2 + 5*a - 3. Let p(q) = q**3 + q**2 - q + 1. Let s(z) = h(z) + 4*p(z). Is s(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*((-4 + 4 + 1)*(9*c - c + c) + 3*c + c - c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (5 - (3 - 1)). Suppose y*u + 2*u = 115. Is 4\/12 - u\/(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 1. Let h be z(5). Suppose 3 - 39 = h*q. Let d be -6*(q\/(-9) - 2). What is the highest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -980 - -766. What is the closest to 1 in d, 3, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/(15\/9)*-4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56845 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 1. Let k(i) = -106 - 9*i + 46 + 38 + 47 - 34. Give -k(a) - 6*v(a).\nAnswer: 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*r + 104 = -304*r. Let k = 1 - -38. Let i = k - r. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 1. Let i(n) = -16*n - 8. Let b(y) = 2*i(y) - 28*s(y). Let p be b(0). Suppose 3*h + 14 = -3*a + 53, 0 = 2*h. Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 41*h + 289. Let i be x(-7). Calculate the common denominator of 91\/30 and (-428)\/8*i\/(8*5).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from yyeseyyyyyyyyseyy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37718789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*x - 37, 2*k - 38 = -2*k - 2*x. Let q = 4 - 1. Suppose 2*z - 115 = -q*z. What is the remainder when z is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/((-14)\/(-30) - 4\/(-20)). Let z = -20 + m. What is the units digit of 74\/z + 1 - 3\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-20.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x**3 - 3*x**2. Let q = 34 + -32. Let w be l(q). Suppose -4*r - 47 + 136 = -b, 3*r = -5*b + w. Calculate the remainder when 64 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2223920\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 113?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14138283.\nAnswer: 3, 29, 101, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - ((45 - 18) + -17) - 31?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 (base 6) in base 10?\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 37205*t - 37205*t + 15*t**3 + (t - 1 + 1)*(-t**2 + 2*t - 2*t) - 2*t**2 + 2*t**2 + 2*t**3.\nAnswer: 16*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06524874 rounded to four dps?\nAnswer: 0.0652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -675866 - -1.542?\nAnswer: -675864.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 739096049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 59 - 38 = 5*q, 0 = -5*q + 5*g - 95. Suppose -5*f + 145 = 3*o, o + 9 = f - 20. Calculate the remainder when f is divided by (q\/(-3))\/(4\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(3\/4)*f**(-2)*(f**(-2\/5)\/f)**2*(f**0)**(-2\/29)\/((f**(1\/6)\/f)\/f**(1\/3)) assuming f is positive.\nAnswer: f**(-113\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 78.82 and -2913.52978?\nAnswer: 2992.34978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 4. Let m(y) = 5*y**3 - y**2 - y + 9. Let p(h) = -3*m(h) - 7*x(h). List the prime factors of p(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 9 = 4*m + 36, -5*m - 44 = -4*v. Let g be 6\/(-8) + (-46)\/m. Solve -2*t + 5 = -g*z - 2, 5*t + z = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pubb when four letters picked without replacement from fufpuxfxufbxfxfxbfx?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66535 divided by -481.\nAnswer: 66535\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/4)\/v)\/v**1*v**1\/(((((v**(-1)*v)\/v)\/v)\/v)\/v))\/((v**(1\/4))**(-12)\/((v*v**(3\/11)*v)\/v*v*v**(2\/5))) assuming v is positive.\nAnswer: v**(2073\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 13013 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2864)\/3580 - (-123)\/135?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 11*j. Let p(t) = -t**2 - 12*t + 1. Let r(o) = -6*i(o) + 5*p(o). Let h be r(-6). Let d = -2\/13 + 17\/26. Sort h, d, 3.\nAnswer: d, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205630 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 + -54. Let c = 6812 + -6707. Calculate the least common multiple of y and c.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 183\/7 (b) 4\/9 (c) -22\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 15. Let o(x) = -x**2 + 12. Let m = -27 + 23. Let s(w) = m*c(w) + 5*o(w). Let r(v) = -12*v. Determine r(s(a)).\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200353 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = a - 49, -3*a + 5*f + 151 = a. Calculate the greatest common divisor of a and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b*b**5\/b))*b)\/b**(-1\/4))\/((b**(-9)*b*b)\/(((b**(2\/7)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(323\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 448054046 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, x: 4, l: 1, t: 9, y: 1}. Give prob of sequence rx.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 2*z**2 - z - 4. Let x be o(3). Let f(k) = -2*k + 1. Let b be f(x). Let g(r) be the first derivative of 3*r**2\/2 + 2*r + 2. Give g(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200030320 (base 4) to base 10\nAnswer: 131896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o**3 + 4*o**2 - 4*o**2 + (-1 + 2 - 2)*(-2*o**3 + 0*o**3 + o**3))*(6 - 24 - 23) + 3*o**3 - 4*o**3 + 2*o**3)*(-18*o + 14 + 33*o - 18*o).\nAnswer: 243*o**4 - 1134*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 3)*(3 - 1 - 1)*(-104*x**3 + 188*x**3 + 200*x**3) as l + r*x**3 + v*x**2 + s*x and give r.\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 16828.\nAnswer: -16824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3))**(-4\/15)*j**(1\/8)\/(j\/j**(-1\/7)) assuming j is positive.\nAnswer: j**(-2789\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 3*h**3 - h**3)*(-3*h**2 + 0*h**2 - h**2) + 8 - 10 - 3*h**5 + 5 + (-3*h**4 + 2*h**2 - 2*h**2)*(h - 4*h + 0*h + (-1 - 2 + 4)*(-4*h + 0*h + 3*h)).\nAnswer: 29*h**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25058, 97273, 217632, 386135?\n\"Answer: 24072*v**2 - v + 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -813346649*o - 985202398 wrt o?\nAnswer: -813346649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -1\/4 (b) 3 (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2199 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) - (-4)\/(16\/438). Let u = p + -150. Do -118\/3 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 14*d + 3. Let u be v(-7). Let m(y) = -3 + 5*y**2 + 25 - 15 + y**u. Calculate m(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*f - f + w, 4*f - 2*w = 16. Suppose -f + 12 = 2*c. Solve -5*p - c = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6631 or 6626?\nAnswer: 6626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**7\/28 - 71*h**6\/12 - 10201*h**5\/40 + 17879*h**4\/24 - 310*h**3 - 900*h**2 + 1099*h. Find l, given that c(l) = 0.\nAnswer: -60, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104821\/12 - 8746. Let b = -3997853\/98 - -40795. Find the common denominator of d and b.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9396720 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 + 8*g + 4. Let t be o(-7). Suppose 16*j + t = 18*j. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*p - 3. Let f = 13 - p. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {v: 1, s: 1, k: 3, u: 6, n: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, 0, -1, -4, -121, 5 in ascending order.\nAnswer: -121, -4, -3, -1, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20528?\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191808.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 687 = -695. Suppose j*p + 4*a = 9*a - 5, -a = 4*p - 23. Suppose 0 = 2*y + 2*y - 12. What is the remainder when p is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-2 + (2 - -1)). Solve -m + g = -1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1194 or 1191?\nAnswer: 1194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2659850.36 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5524958 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3884 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 9 + 11)*(-76 + 80 + s + 4*s) to the form z + n*s and give n.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*d + 533, -m + 0*d + 128 = 3*d. Suppose -5*a = 2*g - 70 - m, -508 = -5*g - 3*a. What are the prime factors of g?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 586303 and 103788?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(6\/(-117)). Let u = -11 + n. Factor 0*o**2 + 3*o**4 + o**2 - 4*o**2 - 3*o**3 + o + u*o.\nAnswer: 3*o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-1)\/83))\/(((-9393)\/93)\/(-101))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -2\/9, 31, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/195 + (-134)\/(-26). Factor 24*t**3 + 17*t**3 - 6*t + 9*t**2 + 27*t**4 - 6*t**4 - p*t**3.\nAnswer: 3*t*(t + 1)**2*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 366\nAnswer: -5\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 211943684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0)\/(b**(2\/13)*b))**(-18\/7) assuming b is positive.\nAnswer: b**(36\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/((-2)\/(2 + -4)). Let a = t - -31. Solve 0 = 5*w - 25, -w = 2*i - 7*i + a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -275*i**3 - 2*i**2 - 10*i + 4. Let t(a) = 274*a**3 + 3*a**2 + 15*a - 3. Calculate 2*t(v) + 3*w(v).\nAnswer: -277*v**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3022030729*h**4\/4 + 39285629855*h**3\/2 + 510683173053*h**2\/4 - 65031785*h + 8281 = 0. Calculate h.\nAnswer: -13, 14\/54973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24002336 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by -6\nAnswer: 53\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(sqrt(2) + sqrt(50)))**2.\nAnswer: 180*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h**2 - h + 1. Give w(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -6 (c) 0.3 (d) 50 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.824 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 428058 by 54.\nAnswer: 7927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 14110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13 - -25) + 2*1. Let w = k + -20. What is the biggest value in 7, 5, w?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 7. Suppose -9 - 6 = y. Let j be q(y). Let c(d) = -12*d - 93. Let i be c(-8). Solve -4*x + 3*g + j = 0, 1 = i*x - 3*g - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -8, 111, 374, 829, 1524?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 78. Suppose x = -138*y + 142*y - 164. What is the remainder when 113 is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5401094921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 11. Let x be r(8). Put 0, x, -2 in decreasing order.\nAnswer: x, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -466 + 4196\/9. Sort -31, -0.5, 3, c in decreasing order.\nAnswer: 3, c, -0.5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 - 4) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 2*r - 2*r)*(6*r**3 - 2 + 8 - 9 + 2*r) in the form u + m*r + h*r**2 + w*r**3 + q*r**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) 3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (8 + -5 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from gmlng?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 9:30 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -129*u**3 + 6*u**2 - 2477 wrt u?\nAnswer: -387*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(((-5)\/(-4))\/(-5)). List the prime factors of (-1*3)\/((-122)\/30 + i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.38 - 0.02. Let h = i - -0.8. Which is the biggest value? (a) 1\/3 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34789216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -518.\nAnswer: 1\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -7*k**2\/2 - k - 9. Let c be y(-1). Suppose 4*v - 18 = -c. Solve -x + v*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**3\/3 - 6*m**2 - 3*m + 652. Give s(8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.79151 - 0.09151. Which is smaller: 12 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + 1.07. Let q = 2 - -67. Let t = 68 - q. Are w and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/8 - 1081*a\/2 + 30219\/8 = 0. What is a?\nAnswer: 7, 4317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q - 34*q - 2*q - q**2 to the form m*q + a*q**2 + j and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (1 - -56 - (184 + -198))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*u**2 + 28*u**2 - u - 24*u**2 + 20*u**2.\nAnswer: 124*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 108473930?\nAnswer: 108473935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + -1 - (4 + -13). Suppose 3*y + 4*a - 713 = 0, 745 = 38*y - 35*y - q*a. What is the highest common factor of y and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 837715?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5122.21 - 5092.5017. Let z = n + -0.0083. Let x = z + -17.8. What is x rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 495*z - 241. Is y(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560\/21 - (-2)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/110 and (9 - 3588\/400)*(-202)\/(-6).\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, e: 4}. What is prob of sequence ueeu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 84519648 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**2. Let q(a) be the second derivative of -a**3\/3 + 2*a. Give q(g(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -188821 or -188822?\nAnswer: -188821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23363584 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 2*y**3 - 2*y - y + 3*y.\nAnswer: 2*y**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6734924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 3, -17889, -2 in increasing order.\nAnswer: -17889, -7, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -2 - 17\/20*s**6 + 1\/15*s**5 - 12*s**2 + 0*s**4 + 0*s**3 + 0*s. Find the third derivative of j(u) wrt u.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a28 (base 16) in base 11?\nAnswer: 16382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 8:50 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14907 - 14901. Sort s, -4, -5, 126 in descending order.\nAnswer: 126, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**4\/4 + 19*k**3\/3 + 19*k**2\/2 + 22*k - 11. Let i be v(-18). What is d in d + 3*d**2 + i*d + 10*d = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017964167 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.7 - 16. Which is the smallest value? (a) p (b) -1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 5*p - 1. Let a(z) = z + 1. Let w be ((-12)\/8)\/(3\/(-4)). Suppose 1 = -w*u + 3. Let s be a(u). What is i(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**3 - r**2 + 21*r + 4. Let f(u) = u**3 + 5*u + 1. Let b(p) = 4*f(p) - s(p). Let x(l) = l - 4. Let j be x(5). Give b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124 and 508.\nAnswer: 15748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*1\/(-40))\/((-2)\/(-850)*10).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19500046 to the power of 1\/2, to the nearest integer?\nAnswer: 4416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3784.6206 to zero decimal places.\nAnswer: 3785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 4 (c) -276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by (-42 - -1)*(-7 + (-6)\/(-1))?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -884. Let s = w - -847.868. Round s to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/20*4)\/((-5)\/(-50))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 40 = 29*d - 10*d. Which is greater: d or 221\/47?\nAnswer: 221\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlllltlmllsdmldstdcl. What is prob of picking 1 d, 1 s, and 1 c?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3849762 and -20\/1291.\nAnswer: 3849762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t - 2*z + 17 = 0, t = z + 2. Suppose 0 = -t*h + 37 + 47. Suppose 5*j + 5 = 15. What is the least common multiple of j and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3, -3, -1, 53651, 5 in decreasing order.\nAnswer: 53651, 26, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-9 + 2 + 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g + 165 = -111. Which is the nearest to 1? (a) 15 (b) g (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2\/21))\/u)\/u)\/u**(-3\/5)*u**7*u\/(u\/((u*u*u**(2\/3))\/u)) assuming u is positive.\nAnswer: u**(878\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3833, 3832, 3831, 3830, 3829, 3828?\nAnswer: 3827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-38)*-115 - (58 - 52). What is the nearest to 0.2 in f, 2, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let u(x) = x**3 - 5*x**2 + x - 5. Let l be u(7). Let v(d) = -100 - 2*d**2 + l. Calculate v(k(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 8. Let i be f(-7). Suppose 0 = 3*z - 2*q + q - 23, -2*q - i = -z. Suppose -2*s - z = -1. Sort -3, 5, s in descending order.\nAnswer: 5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5)*z**0\/z)**(-19)*(z\/z**(-2\/5))\/((z\/z**1)\/z)*z*z*z\/z**(-7)*z*z*z**(4\/9) assuming z is positive.\nAnswer: z**(4943\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173 - -173.263. Let u = 366360.86299891 - 366360.6. Let r = q - u. What is r rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a - 6*a + 150. Calculate the smallest common multiple of a and 621.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -18*m**3 - 6*m**2 - 8*m - 3. Let c be y(-3). Suppose 3*w = 5*n - 303 - c, 4*n - 608 = 4*w. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/6 + (-4)\/8. Suppose 3*m - 5*c = 49, f*m - 5*m = -4*c - 47. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -981, -981, -1003, -1059, -1161, -1321, -1551, -1863?\n\"Answer: -2*z**3 + z**2 + 11*z - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/9*-9 - (-50)\/15. Let n(q) be the second derivative of 0 - 4\/3*q**3 + 0*q**2 + 2\/3*q**6 - q + t*q**4 + 8\/5*q**5. Determine l, given that n(l) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185655 - -394582. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70319 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 32. What is the remainder when 32 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88.16 - 1711367.\nAnswer: -1711278.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2853689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10151103 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1463624088+-1.331\nAnswer: 1463624086.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2529, 5449, 8445, 11523, 14689, 17949, 21309, 24775?\nAnswer: 28353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(450) - sqrt(450)*2) + 0 + sqrt(450) - sqrt(450) - ((sqrt(450) - (sqrt(450) + sqrt(450)*-1)) + -4))**2 + -5.\nAnswer: -240*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 13*u**2 - 31*u + 10. Give k(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/2 + (-1)\/((-22)\/90). Let w be ((-1)\/3)\/((-3)\/(-18)). Let u be (2\/w)\/((-6)\/12). What is the closest to u in p, -6, -1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99570477 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 15*q**2 + 9. Suppose -10*o - 36 = -16*o. Let v(p) = -8*p**2 - 5. Calculate o*w(k) + 11*v(k).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*v = 47, -3*y + v + 13 = -2*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959697793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -11*s. Let d(y) be the first derivative of -y**4 - 2\/3*y**3 + 2*y + s*y**5 + 1\/6*y**6 - 1 + 3\/2*y**2. Find c such that d(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11426109?\nAnswer: 3, 373, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91794626, 91794624, 91794622, 91794620, 91794618, 91794616?\nAnswer: 91794614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 5*g + 0*g)*(-18 + 191 - 61)*(2 - 1 - 2) to r*g + y and give r.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3*k**3 + 2394*f**3 + 5201*f*k**4 wrt k.\nAnswer: -6*f**3*k**2 + 20804*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42849 times 9?\nAnswer: -385641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4427*z + 4429*z + 78 + 29.\nAnswer: 2*z + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -195, -167, -121, -57?\n\"Answer: 9*r**2 + r - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*s + 3, 2*s + 3*s - 10 = 0. Let g(d) = d**2 - 7*d - 1. What is g(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -100011100?\nAnswer: -100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 38 = w + 2*j + 20, 3*j + 10 = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3912.57?\nAnswer: 3912.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2768 (base 12) to base 15.\nAnswer: 152e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/36 and 87\/114320.\nAnswer: 1028880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -987, 0, -4, -7, -149, 3 in descending order.\nAnswer: 3, 0, -4, -7, -149, -987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -94. Let d = v + -73. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/15 - q**4\/3 - 2*q**3\/3 - 6*q**2. Solve g(h) = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = 0, r + 4*u - 2 = 5*u. Let k be 2\/3*(4 + -1). Suppose -6 = -r*p - k*p. Solve p*w = 4*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*n**2 + 4*n*y**2 + 146*y**2 wrt n?\nAnswer: 18*n + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 0*k**2 - 3*k**2 + (3*k - 3*k - 2*k)*(-4*k + 0*k + 2*k))*(459*k + 5*k**3 - 460*k + 76 + k**3).\nAnswer: 30*k**5 - 5*k**3 + 380*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 8*b - 37. Suppose 24 = -3*v + b. What is the closest to -1 in -2\/9, -2\/13, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 43 = 3*o + j, -2*o - 5*j = -45. What is the smallest common multiple of 22 and o?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g + 10. Let w be u(-3). Let q = 6 - w. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -3\/2, 19260294, -10, 0.\nAnswer: -10, -3\/2, -2\/5, 0, 19260294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/16696957 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -163 and -4725.\nAnswer: -4888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p. Suppose -2*w - 2*w + 3*y + 39 = 0, 3*w + 2*y - 8 = 0. Let t(i) = -i + w*i + 5*i. What is v(t(r))?\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:45 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = w, 40*w - x - 3 = 42*w. Put 14, w, -4 in ascending order.\nAnswer: -4, w, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 328184 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10)**(4\/15)\/(f**(2\/39))**(22\/3) assuming f is positive.\nAnswer: f**(268\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*p = -165, 110*y = 115*y + 5*p - 195. What is the smallest common multiple of y and 956?\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 194598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51137079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 202011021200 (base 3) to base 2\nAnswer: 1100000110111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/3731?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 14 + 2*c + 15 - 31 + 6 in the form f*c + l and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 s, and 2 h when four letters picked without replacement from shhlvnms?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106 - 24 + 13 - 17 + 5 + 2*b to t + q*b and give t.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2540608782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*a)*(3 + 7 - 6).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 40*m**3 + 1039*m**2 - 9*m + 452. Calculate g(-26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 2*j + 18 + 8, 0 = -f + j + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3902\/51 + 1312\/17. Find u, given that 5\/9 - g*u + 1\/9*u**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 - ((-12430)\/1716)\/(-5)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43121 (base 5) in base 4?\nAnswer: -231133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009221 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310 and 24385840.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z**3 - 35*z + 34*z - 17*z**2 - 10*z**3 + 27*z in the form b*z**2 + y + o*z + u*z**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 116 = -49*x + 24*x - 60 + 18, 4*h - 62 = 5*x for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 5*r = 5*f - 23, 4*f - 18 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 6584*d**2 - 303417*d\/2 + 158292.\nAnswer: (d - 13191)*(d - 1)*(d + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = 2*p, -2*p + 4*j + 10 = 2. Let v(g) = 95*g - 380. Let y be v(p). Factor 0*n + y + 3\/5*n**2.\nAnswer: 3*n**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3695121, 3695079, 3695051, 3695043, 3695061, 3695111, 3695199?\nAnswer: 3695331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*d - 20 - 6 - 43 + 44*d to k*d + q and give q.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from bcchcbc?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ada (base 15) in base 4?\nAnswer: 1123012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 + 8*c - 5. Let k(b) = 14*b**2 - 23*b + 14. Calculate -6*k(j) - 17*n(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2)*t*t*t\/(t\/t**(6\/5)*t))\/(t*t**0)**(-23))**(-22) assuming t is positive.\nAnswer: t**(-3102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13299221.6 + -4.5.\nAnswer: -13299226.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3558 - 3560. Let s = 54 + -150. What is the tens digit of (-1 + 5)\/(h + s\/(-46))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18277843, -36555687, -54833531, -73111375?\n\"Answer: -18277844*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - ((1842\/(-4))\/(-3))\/(5\/(-110)). Which is greater: n or 3383?\nAnswer: 3383","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*h**2 - 174704*a - 31344*h**2 wrt h?\nAnswer: 2*a*h - 62688*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*c - 3 - 2 + 5 - 2 + 17*c.\nAnswer: 131*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21238918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42465, -84917, -127369, -169821, -212273?\nAnswer: -254725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1101100?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/32 + -7\/160. Let c(w) be the first derivative of 0*w + 2 - t*w**5 + 3\/16*w**4 - 1\/4*w**3 + 1\/8*w**2. Factor c(f).\nAnswer: -f*(f - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 612 = -390. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (89\/267)\/((-3)\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*y = -5*y - 2371676, 0 = -3*y + 12. Let t be (-2)\/2 - 695847*1. Let n = t - w. Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -261717, -261717, -261713, -261705, -261693, -261677?\n\"Answer: 2*q**2 - 6*q - 261713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f + 4*f - 2*f - 4. Let d be g(4). Suppose -d = -2*v - 2. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164*i**2*r**3 - 105*i**2*r**2*z + 2*i**2*r + i*r**2*z + 2*r**3 + 19*r**2 - 2*r*z + 270*r wrt i.\nAnswer: -328*r**3 - 210*r**2*z + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1684 + 2.8316. Sort -1484, i, -0.5 in descending order.\nAnswer: i, -0.5, -1484","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -198.5527 to the nearest integer.\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4441244 (base 7) to base 12.\nAnswer: 2250a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7366169 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-87) + (-16)\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*b + 45. What are the prime factors of 8 + b\/6*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11004609349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1997\/196 or 11?\nAnswer: 1997\/196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 181?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -0.2. Let p = 0.8 + b. Do 1\/5 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4560 + -4560. Let b(j) be the second derivative of -21\/20*j**5 - 4*j + a*j**3 + 0*j**4 + 0 + 13*j**2. Differentiate b(z) wrt z.\nAnswer: -63*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6043, 6156, 6271, 6388, 6507, 6628?\nAnswer: 6751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (8 - 28)) + (2 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3395*u**2 - 3395*u**2 + 59*u**4 + (-2*u - u + 6*u)*(-4*u**3 - 4*u + 8*u + 2*u**3).\nAnswer: 53*u**4 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4017 - 4008. Suppose 0 = 5*i - 2*r - 15, 15 = 5*i + r - 5*r. Suppose 5*l - 4*h = 6, 3 = 4*l + h - 6. Solve z - i = -l*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5271*s - 46 = 5254*s + 209 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -148*h - 4554. What is k(-30)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Let f = j - 1. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1646\/33 + 545\/11. Let b = -3219 - -45041\/14. Let w = b - -327\/182. Is w less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082887?\nAnswer: 13, 83299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zczczzzzcczczzzzzzz.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.315537 milligrams to tonnes.\nAnswer: 0.000000002315537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*x - 15232 = -81*x. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5, 4*m - 3*m = 3*u - 338. What is the remainder when u is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(5\/(-2))*525\/14. Let q be h\/50*4\/3. Solve -3*p + q = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 164*d**2 - 2*d + 9. Let i be o(4). Let g = i + -1032. Suppose -5048 = -3*a + 3*b - 275, a - 2*b - g = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*a + 5*v, v = 4*a - 26 + 1. Find the third derivative of -z**2 + 356*z - 2*z**3 - 364*z - 3*z**2 + 3*z**a - 4*z**2 wrt z.\nAnswer: 360*z**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345568 or -345625?\nAnswer: -345625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 32. Let z(k) = 6*k - 1091. What is -4*o(c) - z(c)?\nAnswer: -2*c + 1219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {f: 5, u: 3, n: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -25. What is the closest to 0.1 in g, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -572800 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(-78))\/((-48)\/(-704)*-11)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5553947618*b**3\/9 - 61094688526*b**2\/9 - 4637360*b\/3 - 88 = 0.\nAnswer: -11, -6\/52697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2300733 (base 9) to base 2\nAnswer: 100101110111000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2 = -15*z - 278 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 6*n. Let z(t) = -3*t**2 + 5*t + 1. Calculate 2*v(i) + 3*z(i).\nAnswer: -i**2 + 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 10:21 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 1. Let y(r) = 16*r**3 - 3*r**2 - 4*r - 2. Calculate 2*n(m) - y(m).\nAnswer: -16*m**3 + 3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700 = -77*d + 147*d. Calculate the least common multiple of d and 85.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/5 + 1520154*o**2\/5 + 21281862*o\/5 + 74486174\/5 = 0. Calculate o.\nAnswer: -760063, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z + 44 = 0. Suppose 0 = -o + 4*o - 9. Suppose -o*i = -z - 16. What is the lowest common multiple of i and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 2*b + 5*y, 0 = -5*b - 4*y - 33 - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1630.623 - -1629. Let l = -0.017 + s. Let y = 0.36 - l. What is the nearest to -1 in y, -6\/11, 1\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-160)*-4 - (-18)\/(-10). Let f = 1 + 4. Put f, u, -6 in descending order.\nAnswer: f, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 65. Suppose 92*w = 86*w + 216. What is the highest common factor of b and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041432312 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 6*v - 14 = 2*k, 5*v + k = -14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10251 divided by 947\nAnswer: -10251\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:46 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*p + 34084, 374*a - 373*a - 8533 = 2*p. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i = -131*i + 4800. Solve 0*b - 16*b = -i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 14 = -2*q - 3, -20 = 4*l. Let i be 136\/24 + 132\/(-36). Solve 5 = i*j - 1, q*z - 4*j + 32 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -21*f - 163. Determine x(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -880878870.09999302 + 880878828. Let r = d + 42.1. Round r to 7 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, 4\/5, -4 in increasing order.\nAnswer: -4, 4\/5, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511226 is divided by 255431.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5512307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -0.4 (b) -0.06 (c) -43 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 62*c - 72. Let o(g) be the third derivative of g**5\/60 - 41*g**4\/24 + 8*g**3 - g**2 + 115*g. Let j(i) = 8*o(i) + 5*r(i). Factor j(k).\nAnswer: 3*(k - 4)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**9*n)\/n))\/(n**(7\/5)*n))**(-15) assuming n is positive.\nAnswer: n**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 2.2, -0.26, 1249, 2 in ascending order.\nAnswer: -0.26, 4\/5, 2, 2.2, 1249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 828844, 829376, 829910, 830446?\nAnswer: 830984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*c - 405, 2*a + 200 = -c + a. Let k = c + 349. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -37, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229901\/72808 + -1\/3832. Let a = -742\/247 - n. What is the third biggest value in -1, 3, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 4\/3 (c) -0.11 (d) 11.735 (e) 9 (f) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 4. Suppose -5*n + l*n = -14. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-48)\/(-159120)*51)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12*l - 5*l + 0*l - 3*l + 110. Is b(0) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 364555384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 612629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -308*2157\nAnswer: -664356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 5 + 4*x - 6*x. Let b be m(-6). Is -6 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 603258 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/2*5*(-12)\/270?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261.3 - 260.9. Let r = 3 - 6. Let l = -8 - r. Is k at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-54)\/3))\/(-20*(-51)\/(-612))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + 4 - (56 + -38 + -33)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {l: 3, t: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.441 and 0.2.\nAnswer: -0.8882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b - 19*b + 18*b)*(-2*b**2 - b**2 + 4*b**2)*(-b**2 - 1 + 1) + b**4 + 2*b**5 - b**4.\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 461, 446, 413, 356, 269, 146, -19?\n\"Answer: -m**3 - 3*m**2 + m + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 24*f - 14. Let s be w(12). Which is smaller: -18 or s?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24.5, 0.3, 0, -3 in decreasing order.\nAnswer: 0.3, 0, -3, -24.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3276 = 10*d + 2*d. Let p = -270 - d. Solve -p*g + 3*s = -2 - 1, s = -4*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3280, 26551, 89866, 213247, 416716, 720295?\n\"Answer: 3337*s**3 - 88*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6*o + 8 = 0, 13 = 2*r + o + 9. Let f(z) be the first derivative of -21 - 3*z - 1\/2*z**r. Give f(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/14)\/s)\/(s\/(s*s\/(s**(8\/3)\/s)))*(s**(-2\/13)\/s)\/s**(-10) assuming s is positive.\nAnswer: s**(4037\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1002.916 + 10.016. Let b = j + 993. Let w = -0.06 + 2.06. What is the nearest to b in w, 1\/6, 20?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 547*h**3 - 7112*h**2 + 7*h + 55. Calculate d(13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1548*r**3 + 89*r**2 - 63*r + 12744203 wrt r?\nAnswer: -4644*r**2 + 178*r - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 1813, 3\/7, 2\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3794 - 3794 + 32*a as w + p*a and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297047777?\nAnswer: 13, 103, 163, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*q + 3*p, -5*q + 237*p = 255*p + 33 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + 2214422?\nAnswer: 2220013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 + 11.7. Let o = -0.03 - 0. Let m = o + -0.27. What is the smallest value in u, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/12 and 127\/3534.\nAnswer: 7068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**4\/4 - 702*w**3 - 169339*w**2\/4 + 266631*w\/2 = 0.\nAnswer: -62, 0, 3, 2867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -2420963\nAnswer: -60\/2420963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268 greater than 3267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 6) + (2 - 15 - (20 + 32)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k**2 - 4*k + 3. Let o be h(-3). Let t = 7 + o. Suppose 39 = -t*d + 7*d. What is the remainder when 49 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -386 - -388. Put z, 3, -4, 64 in increasing order.\nAnswer: -4, z, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*b + 5*b**3 - 1080 - 107*b**2 + 17*b**2 + 68*b + 181*b = 0. Calculate b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 43*y - 623*y - 5 - 11 - 780*y.\nAnswer: -1360*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105074707\/24936 + -419\/6234. Let w = f + -4212. Find the common denominator of -7\/24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50136754 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253464, 253420, 253346, 253242, 253108, 252944, 252750?\nAnswer: 252526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6505.536g?\nAnswer: 0.006505536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 25.11. Let r = -4.11 - t. Let p = r - -3.8. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8) - 69\/(-92)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 4*q - 4. Determine o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3\/4 (c) -0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111592 and 1160?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 20157986 - 20157986.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41060012700 rounded to the nearest one million?\nAnswer: 41060000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 26*t**2 - 23*t + 18. Give f(-27).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738753.4 millennia to years.\nAnswer: 738753400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8\/7 (b) 2\/13 (c) -0.1 (d) -5 (e) 39 (f) 0.2 (g) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 4592.63.\nAnswer: 22963.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5629 plus -364.88856?\nAnswer: -5993.88856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 12 = 5*o. Suppose 0 = -l - o*c + 48, -6*c = l - 3*c - 47. Calculate the greatest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = 16. Let p be 1 - 1 - (r - -7). Suppose 2*g + p = 0, 0*g = 3*f + 5*g - 41699990. Round f to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 67108*y - 67105*y + 18, 10 = -5*b - 5*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 52019265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14535*k = -14593*k - 544 - 790 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 4. Let o be x(2). Suppose -9*k + 2*k + 14 = o. What is the second derivative of 539*f**2 - 539*f**k - 6*f**5 + 41*f wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 + 6*u**2 - 25*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -2*v + 2, 0 = -4*m - 3*v - 5. Let p be m\/(105\/429) + 8\/(-14). What is the remainder when 78 is divided by 231\/6 + (p\/(-2))\/7?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20791 is divided by 10148.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 7*q + 8 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136659 or -136663?\nAnswer: -136663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2. Let l(b) = -83315961*b. What is g(l(w))?\nAnswer: -27766197429414084*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 - 22*v - 23 = 0. Calculate v.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2108*u - 581*u = -62607 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**6\/3 - 58*l**5\/75 - l**4\/15 + 385. Solve k(y) = 0 for y.\nAnswer: -1\/15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50259187 and 1597?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5921 in -0.02, -4, 5, -94\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-3))\/((-4)\/18). Suppose -3*f + o = -6. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*c - 132*c + 65*c in the form r*c + x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*73.\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n**(-3\/10))**(-1\/35) assuming n is positive.\nAnswer: n**(67\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*d = -240*d - 286 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -57\nAnswer: -1083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 772 and 16.\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*0.06.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 209, 4, 0.4 in ascending order.\nAnswer: 0.4, 4, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31184 and 71864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -969509 + 3*j - 33*j**2 + 969509.\nAnswer: -33*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*v**4 + 3*v - 13*v**2 - 53*v**4 - 55*v**4 + 3*v**2 as z*v**3 + i*v**2 + l*v + s + k*v**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157488, 314989, 472490, 629991?\nAnswer: 787492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*m**2 + 7*g**2*m - 26170*g**2 + 3775*g*m**2 - g + 2*m**2 + 15*m wrt g.\nAnswer: -2*m**2 + 14*m - 52340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-1)\/((-6)\/15)))\/(656\/615).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2\/7 + 8514*l\/7 - 6040683\/7 = 0. What is l?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9913032 - -9911070.8957. Let d = -1961 - x. What is d rounded to three decimal places?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 144 - 4 = 0. Let a be ((-5)\/n*-58)\/(-1). Let 8*z - 87*z**3 - 42*z**4 - 1148*z**2 + 1140*z**2 + a*z**3 + 0*z = 0. Calculate z.\nAnswer: -1, -2\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 18. What is p(-10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -88*v + 451. Calculate w(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12601*v + 13936*v + 116145 for v.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 3*d = -1344. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4038 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.88035 centimeters in meters?\nAnswer: 0.2988035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1030613 + -94\nAnswer: 1030519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1.8, 3, 0.37, 33 in ascending order.\nAnswer: -0.1, 0.37, 1.8, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1180 and -40.844.\nAnswer: -48195.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 337.5509 days?\nAnswer: 486073.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11)\/(i\/(i\/i**3)))**14\/(((i*i\/i**2*i*i*i)\/i**(4\/3))\/(i**(-4)*i*i\/(i**(-2\/5)*i))) assuming i is positive.\nAnswer: i**(-8054\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -525*s**5 + 449*s**2 wrt s.\nAnswer: -31500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -738, -1151, -1612, -2139, -2750?\nAnswer: -3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/2 of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 + 0*z**3 + 4*z**3 + (9 - 9 - 8*z**3)*(3 - 1 - 1).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 35615877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjm. Give prob of sequence mjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:13 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-24) + (-3)\/(-36). Let d = -0.7 + 0. Let r = d - 0.3. What is the closest to r in -5, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.15 times -994?\nAnswer: 42891.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27230341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 31 = -2*l + d, 4*l - d = 7. Suppose 5*a - l*a + 0*a = 0. Suppose -640 = -2*r - a*r. Is 60 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*r - 1, 0 = -r - 0 + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/2 - 19*d**2 - 101*d\/2 - 30 = 0. Calculate d.\nAnswer: -4\/3, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4501 - -1.4506. Let k = -3 - t. What is k rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1794*n + 1794*n + 30*n**2 to z*n**2 + u*n + p and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 383, 761, 1139?\n\"Answer: 378*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3))**(-38))**(-42)*(a\/(a**(-1)\/a))**(-15\/11)\/(a**2)**41 assuming a is positive.\nAnswer: a**(-12651\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 13 = -p. Let d(b) = 14*b**2 + 6*b + 1. Let w(i) = 28*i**2 + 13*i + 2. Suppose 0 = -2*k - 0*k + 12. Let v(t) = k*w(t) + p*d(t). Give v(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**3 - 120*q**2 - 1092*q - 2704 = 0?\nAnswer: -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166367 is divided by 3139?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 333 - 289. Suppose -q*s + 39*s + 10 = 0. Solve -3*w - s*w - 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, m: 2, j: 1, x: 1, o: 12}. Give prob of sequence jos.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -445?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2\/(-2))\/((-15)\/(-60)). Suppose k*p = 3*d + 5*p - 140, 0 = 4*d - 5*p - 212. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.31 and 2.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 4*g, f - 1361*g = -1360*g + 23 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -669785801576\nAnswer: 669785801576.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 + -0.023261\nAnswer: -0.923261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from qqdqdqqqqqqddd.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84374 + -7424995\/88. Let n = 157\/181 + -9121\/14480. Find the common denominator of c and n.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -4\/11, -1, -2\/9, 11\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 0*k + 2 + 0 + 0. Determine u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + 32. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 3*j - 2. Let d be i(5). Let b = d + -1. Suppose 0*g - 3*g + 39 = 0. What is the remainder when g is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*4\/(-32)*2)\/(5923\/225074).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-3 - 0) - 3. Let v(w) = w**3 + 2 + 2 - w**2 + 0*w**x + w - 5. Let u be v(1). Solve -4*g - 3*a = -3*g + 15, u = -3*g - 3*a - 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25, 2, 31250 in increasing order.\nAnswer: 1, 2, 25, 31250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 85*p**2 - 10 + 10.\nAnswer: -87*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 19*c**2 + 8*c - 19. Let u be q(15). Let g = u - 8990\/9. Find the common denominator of g and 91\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 179409 and 0.1.\nAnswer: 17940.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 + 4*s - 6*s + 2*s. Let w(m) be the first derivative of 17*m**3 + 316. Give w(q(a)).\nAnswer: 459*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*(sqrt(1573) - (sqrt(1573) + (sqrt(1573) + 1 - sqrt(1573)) + sqrt(1573)))**2 - ((sqrt(1573)*1)**2 + sqrt(1573) + -2)) + -5 + 0).\nAnswer: -55*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*p - 2*z, 8*z - 12*z = -4*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 7*w + 28*w**4 + 4*w**2 - 2*w**2 + 25*w**4 - 52*w**4 to n*w + y*w**3 + i*w**4 + j*w**2 + k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-40) - 3)*48\/72\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191590 (base 14) in base 15?\nAnswer: 127e13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -4, -1, -37901, -22, -3 in decreasing order.\nAnswer: 5, 4, -1, -3, -4, -22, -37901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1222047 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -31*v**6\/6 + v**2 - 17*v + 41. What is the second derivative of w(h) wrt h?\nAnswer: -620*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-235)*35557435\/(-6). Let g = c + -25218. Let w = g + -5348\/1551. Find the common denominator of -23\/20 and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -408 - -168. Let o be 80\/(4\/h*-5). What is o rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*a + 241 = 235*a + 163 - 540 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 9\/4 (c) -0.028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/200*(-4)\/6)\/(166\/36520)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(-2)\/b)))**1*((b\/(b**(-1\/4)*b))\/b)**(-19))**(-2\/25) assuming b is positive.\nAnswer: b**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67\/41 - 309\/164. What is the nearest to -0.2 in -3, 7\/3, 2\/11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18115.1761 - 2\nAnswer: 18113.1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*o + 53, 0 - 18 = 4*o - 2*h. Let d = o + 6. What is the nearest to d in 4\/7, -5, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 84, 169, 254, 339, 424?\n\"Answer: 85*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10346476 - -5293476. What is b rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1462, 4, 0.12, -3\/2, 28, -3 in descending order.\nAnswer: 28, 4, 0.12, -3\/2, -3, -1462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (-9 - (-10 - (-1 + 11)) - 7).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*v + 15494265 - 15494265.\nAnswer: 90*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*x - 5*q - 54, -4*x + 102 = 2*q. Let t = -24 - -63. Let w = -26 + t. What is the remainder when x is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = 51 - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138842106 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {n: 1, k: 1, w: 1, z: 1, t: 1, l: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2. Let o(t) = -t**2 - 1. Let j(i) = -2*i**2 - 1. Let u(a) = 3*j(a) - 3*o(a). Calculate u(y(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, j: 1, e: 1, q: 1, k: 4}. What is prob of picking 1 e and 3 k?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 676613348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11629?\nAnswer: 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(26)\/(sqrt(32) + sqrt(2) - sqrt(2))*-1*5)**2 + sqrt(832)*3 + -1 + sqrt(26)\/sqrt(2).\nAnswer: 277\/16 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16861, -67348, -151495, -269302?\n\"Answer: -16830*i**2 + 3*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 5, b: 1, g: 2, s: 1}. Give prob of picking 1 s and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 20 = 0, -2*q - x + 4*x + 33 = 0. Let k be q*(-2*(-2)\/(-6))\/2. Let b be (0 - 0)\/k - (-132)\/4. Solve -5*f + b = 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.2 from 345.\nAnswer: 336.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*j - 196 = -0*j, 0 = -q + 4*j + 88. Calculate the highest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k - 37 = -56*k + 4*b, 5*k - 18*b = 79 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*i + 3. Let f(k) = -2 - 3*k**2 + 2 + k**i. Let v(h) = 1 + 2*h + 3*h - 1. Calculate f(v(n)).\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 v when three letters picked without replacement from nkkmkvxekknn.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88a (base 13) in base 16?\nAnswer: 5ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + r = 4, 0 = -4*d + 4*r - 59 + 75. Solve 4*i = 3*a + 7, -i - d*a - 3 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749267.9 seconds in minutes?\nAnswer: 29154.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:54 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.1 and 66.98?\nAnswer: -408.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 69*i**6\/5 + 13*i**5\/10 - 5*i**4\/8 - 8914*i**2. What is the third derivative of h(j) wrt j?\nAnswer: 9936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 49*s + 560. Determine k(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 7 - (-4)\/(20\/15). List the prime factors of j\/(-4)*(-5 + 5) + 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**2 - 9 + 229*r**4 - 212*r**4 + 0*r**2 as h*r**2 + d*r + s*r**4 + v + n*r**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (29\/87*-5)\/(2\/(-1491942)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143847900 a multiple of 1615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 28. Let g be 9\/45 - t\/40. What is the closest to 1\/2 in -0.3, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76 and 3822540?\nAnswer: -290513040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 707789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3051019187?\nAnswer: 1657, 1841291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -0.617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - i**3 + i**3)*(-6*i + 2*i + 2*i)*(171 + 193 + 3*i - 334).\nAnswer: 12*i**5 + 120*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 2*s - 3. Give r(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -1 + 3 - 0. Suppose 8*w = z*w + 42. Suppose 4*y + w = 7*y. What is the remainder when 25 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**21)\/v)\/v*v*v*v)\/v)\/(v*v\/v**14) assuming v is positive.\nAnswer: v**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1460\/13 - -1406\/13. Let g = 138\/35 - 2362\/315. Calculate the common denominator of c and g.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l - 16. Let g be v(5). Let h(t) = -t**3 + 4*t**2 + 8*t - 11. Calculate the remainder when 39 is divided by h(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**3\/3 + 22*l. Let f(v) be the first derivative of v**2 - 1. Determine f(n(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, n: 5, z: 1, l: 6}. Give prob of picking 1 n, 2 l, and 1 z.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1762214 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1847?\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, -204\/19, 1\/3, -1.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a - 11*a + 5*a**2)*(-42 + 22 + 18 - 285*a - 168*a).\nAnswer: -2265*a**3 - 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.1 (b) -3\/7 (c) -54 (d) 0 (e) 127\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3*1*sqrt(3645)*-1)\/(((-1*sqrt(90))\/sqrt(2))\/sqrt(5)*6))**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2 + 22*v - 4. Let f(p) = -2*p**2 - 7*p + 1. What is 7*f(o) + 2*r(o)?\nAnswer: -4*o**2 - 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -44 + 0 + 1*(-13 + 6). Which is the closest to 2\/5? (a) -3\/5 (b) 1\/3 (c) n (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*g = -5091 + 1318. Let k(y) = 3*y**2 - 4. Suppose -4*b + 8 = 0, 5*c - 2 = 2*b + 14. Let n(v) = -35*v**2 + 49. What is c*n(r) + g*k(r)?\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**3\/3 - 5*d**2 - 11*d + 5. Let v be g(-9). Put v, 0, -3 in increasing order.\nAnswer: -3, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -829.6 to the nearest ten.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60787857 a multiple of 2059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, e: 10}. What is prob of sequence qqq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5861151913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 10.3.\nAnswer: 3.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -180397 less than 451416?\nAnswer: 631813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 15*v**2 + 22*v + 122. Let z be y(-8). Let k be (-1)\/((-12)\/z) - 66\/44. Which is the fourth biggest value? (a) 2 (b) k (c) -88 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) + -2 - 8\/6. Let m(x) = 82*x**2 - 7*x - 11. What are the prime factors of m(r)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67808263*o**3 - 135616490*o**3 + 67808195*o**3.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 205\/9 less than or equal to 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2233122 - 30131?\nAnswer: 2202331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(152)\/(sqrt(4) - sqrt(144)*4))\/(-2*(sqrt(98) - sqrt(98)*5*4)).\nAnswer: -2*sqrt(19)\/3059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -51, -73, -93, -111, -127?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 635.9 and 479.\nAnswer: 304596.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajd when three letters picked without replacement from ajd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -467 + 1330. What are the prime factors of w?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 260.\nAnswer: 28860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -43*d - 1. Let m be v(-5). Let c(y) = -4*y**3 - 15*y**2 + 18*y - 24. Let b be c(-13). Suppose -7*n + m = -b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-8) + 3\/(-6))*9. Suppose p = -2*p + 54. Let m = x + p. What is the remainder when 43 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.5 - -33. What is the third smallest value in z, -0.3, 0.55, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (86 + -76)) + 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 8845\/174)*5\/35?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 4*b - 4. Let r(t) = t. Let j = -217 + 223. Let p(i) = j*r(i) + n(i). Let q(c) = -2*c + 2 + 7*c - 13 + 3*c**2. Give 11*p(z) - 4*q(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 2*r. Let x(g) = -3*g**2 + 3*g - 1. Let s(q) = -5*w(q) + 3*x(q). Is s(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 12 - (-14 + 34) - (-2 + 9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6261292 is divided by 135?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - 30*s**2 + 12*s - 60. Let o be a(20). What is the highest common factor of o and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-3)\/36)\/((-2)\/(-1))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1314293 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + 105*i**2 - 420*i - 309. Give y(48).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6748 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2036*a**3 - 2039*a**3 + 4074*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from llbbbwl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*c + 2*c. Let h = 5 + c. Let b be h + 4 + -4 + 2. Solve 2*g - b + 0 = z, 0 = -2*g + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -380*k - 20. Let m(j) = j**2 + 13*j + 7. Let q be m(-12). Let g be y(q). What is g rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/17 - 7306*q\/17 + 2766192\/17 = 0 for q.\nAnswer: 429, 3224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9869869 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 5731687021.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 369*q**2 - 5103*q - 426465.\nAnswer: -(q - 351)*(q - 45)*(q + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 2*d - 9. Suppose -9*c = -6*c - 21. Is n(c) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-1 + 2) + -1. Let y = -0.2 + 1.2. What is the closest to 1 in y, 0.4, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61184.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7 - (-88)\/(-154)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*2.2.\nAnswer: -63.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000011000110 + -110011101111111?\nAnswer: -10011010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 - 3*i**5 - 4*i**5 + (3*i - i - i)*(0*i**4 + i**4 - 2*i**4) + 18 + 23*i**5 - 18.\nAnswer: 17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/12 + j**3\/6 - j**2 - j. Let r be -2 + 1 + -2 + 24 + -23. Determine t(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - -2. Let z = -21 + t. What is the smallest value in -0.5, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 17539*h + 307616521\/2.\nAnswer: (h - 17539)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2703 + 1.1703. Which is the nearest to 21? (a) n (b) -0.2 (c) 0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556342717?\nAnswer: 7907, 196831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f - f + 10 - 7*f. Let g be h(8). Find q such that -20*q**3 - 20*q + 30*q**g + 5 + 4*q**4 + q**4 + 0*q**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 87. Calculate the highest common factor of 110 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 11*n**2 - 19*n - 86. Let m be s(-12). Let h be ((-5)\/10)\/(m + 393\/198). Solve -5*p = 4*u + h, 0*p = -p - 2*u - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6161459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (5 - (6 + -5)) + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 36*y**2 + 90*y + 14. Calculate v(-33).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3091108388 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 11*t**3.\nAnswer: -t**3*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1189 + 1716 + 39*l + 807 - 41*l + 578.\nAnswer: -2*l + 4290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Suppose -2*v = -y - 70, d*v - 78 = -2*v + 3*y. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-837)*45*((-90)\/575)\/9.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29412 and 19608.\nAnswer: 58824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52301825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18166545.\nAnswer: 3, 5, 53, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 263*y - 7. Let p(l) = 525*l - 12. Calculate 3*p(a) - 5*r(a).\nAnswer: 260*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, 3, -5 in ascending order.\nAnswer: -5, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1577*b*w**3 + 21*b*w**2 + 4*b + 11272092*w**3 - 2*w**2 wrt b?\nAnswer: 1577*w**3 + 21*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -41\/2*p**2 - 3*p + 0*p**4 + 1\/10*p**5 - 5 + 4\/15*p**6 + 0*p**3. Differentiate i(l) with respect to l.\nAnswer: 32*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -64*x**2 + 11*x. Let r(g) = -255*g**2 + 42*g. Let f(m) = -2*r(m) + 9*s(m). What is the second derivative of f(y) wrt y?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 18) + 16 + (-38 - -4 - -4)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 10. Suppose 2*o - 3*i - 6 = -0*o, -2*o - f*i = -6. Differentiate 2 + 2 - o + m + 6*m wrt m.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 2*sqrt(84))*5)\/(-2*sqrt(432)).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x + 1424*m = -13*x + 1421*m - 772, 36 = -4*x - 5*m for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {w: 1, x: 1, q: 1, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -111*r**2\/2 - 287*r + 26. Let h(f) = -f + 1. Let l(u) = 5*h(u) + i(u). Differentiate l(q) with respect to q.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 97027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -310458?\nAnswer: 310459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4923 is divided by 105.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*l**4 - 4449*l**3 + 7440*l**2.\nAnswer: -3*l**2*(l + 496)*(3*l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**5*j**2 + 27*i**3*j**2*x**2 - 17*i**2*j**2 - i**2*x + x**2 wrt i.\nAnswer: -300*i**2*j**2 + 162*j**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 15) to base 16.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15\/46 + 4\/23. Suppose 5\/4*n**2 + 3\/4*n**3 + 0 + p*n = 0. Calculate n.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5\/3 - 6*w**4 - 10*w**3 - 14*w**2\/3 = 0?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1077, -1071, -1049, -1005, -933?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**4\/12 + 5*n**3\/6 - 3*n**2 + 6*n. Suppose -d - 4*t - 4 = -2*d, 3*d - 3*t - 12 = 0. Give r(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 95389543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -80 + 64 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 61. Let o = g - -27. What is the units digit of 130 + -1 + o - (-8 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 3. Let w = -101 + 781. Let b = -677 + w. What is the least common multiple of b and l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1310 times -852\nAnswer: -1116120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11684584 by -1460573.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 0\/(-4))\/(-3) + 3. Is -4*(-5266)\/16 - (-2)\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10272 - -0.287501?\nAnswer: -10271.712499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0123 * -0.03\nAnswer: 0.000369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 41*i**2 + 4*i + 4. Let w(j) = -51*j**2 - 5*j - 5. Let p(y) = 5*v(y) + 4*w(y). Let g(h) = 335*h**2. Give p(g(o)).\nAnswer: 112225*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -10505 and 890 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let y(p) = -p**2 + 10*p + 8. Let a(f) = -f. Let d(w) = a(w) - y(w). Let n(s) = d(s) - 3*h(s). Is n(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-18)*(-12)\/(-4). Suppose u*l + 76 = -3*v, -3*v + 4*l - 70 + 26 = 0. What is the remainder when (-164)\/v - 12\/(-15) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:13 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 153*j + 8. What are the prime factors of s(6)?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 12*w**4 + 2*w**2 - 2*w - 6. Let v(q) = -12*q**4 - 3*q**2 + 3*q + 7. Let b(g) = 3*i(g) + 2*v(g). What is the first derivative of b(d) wrt d?\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(44) + sqrt(44)*-1)**2 + 5)*-3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 177*z - 2. Let u be c(4). Let h be 1600\/6 + (-6)\/9. Let d = h - u. Round d to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534468835 to the power of 1\/3, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5499358 seconds to milliseconds.\nAnswer: 549.9358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1773*a + 3*i = 1777*a + 5, 5*a = 4*i - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) -2\/63 (c) 12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -12202?\nAnswer: 12221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t = 6*p + 82*t - 45*t - 84, 0 = -4*t - 8 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1405 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -1) + 64 + 6. Let j = c + -34. Calculate the remainder when 329\/5 - 4\/(-20) is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 87*n**2 - 249*n + 5136. Calculate p(45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9)**(-35) assuming w is positive.\nAnswer: w**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 11*o**2 + 15*o - 20. Let p be l(-9). Suppose -p*u = -3*u - 684. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 3)*(-v + v - v) + 173*v + 2*v + 13*v.\nAnswer: 195*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + -1)*-3.\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enrnwkncrre. Give prob of picking 1 k, 2 n, and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 119810756, 119810750, 119810744, 119810738, 119810732?\n\"Answer: -6*q + 119810762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 1\/13, -4\/3, -5, 5, 2 in increasing order.\nAnswer: -46, -5, -4\/3, 1\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(2\/6 + 0). Solve l + l + 6 = z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1528 + -1529. Which is the nearest to -6? (a) -0.2 (b) -2.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8819895 is divided by 6743?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14198 + -19198. Is z bigger than -5000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1611 is divided by 284?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37448 times 0.2?\nAnswer: 7489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -30333234?\nAnswer: -30333232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12750 (base 11) to base 3.\nAnswer: 220222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -66, -6\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(3 + 20\/15). Suppose -3*u = -4*p + 87, p - 8 - m = u. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 35*a - 93. Let o be d(-32). Solve o*u + 12 = 3*p, 3*p = u + 3*u + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1936 - 1361. Calculate the highest common divisor of 46 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from rcwrwwwwowoww.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 14*s + 18*s + 12 = 0, -4*s = 3*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*u - 5*k, -5*k + 4*k + 6 = 2*u. Suppose -3*i = -4*i + u. What is the second biggest value in i, -0.05, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (66 - -1)\/(18\/180). Suppose 2326*o - k = 2325*o. List the prime factors of o.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*h + 100*h - 130*h + 43*h - 819 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35543 - 35942.03. Round r to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 32 = 2*n + 9, -2*m + 34 = 4*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 63*v**2 + 129*v**2 - 65*v**2. Let z(d) = 7*d**2 - 7*d - 1. Calculate -5*t(q) + z(q).\nAnswer: 2*q**2 - 12*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -22, 0 in ascending order.\nAnswer: -22, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -96, -210, -370, -576, -828?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**7\/630 - 17*g**4\/24 + 5*g**2. Let k(j) be the second derivative of f(j). Let b(u) = 2*u**2. Give b(k(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**7\/840 - y**6\/360 - y**5\/120 - 19*y**4\/24 - 20*y**3 + 24. Let j(m) be the third derivative of s(m). Determine j(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -31*k + 1062. Let c(g) = 8*g + 2. Determine -4*c(t) - v(t).\nAnswer: -t - 1070","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5\/2 + 1841*b**4\/2 + 619*b**3\/2 - 3069*b**2\/2 - 308*b + 614 = 0. Calculate b.\nAnswer: -1, 2\/3, 1, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -100\/7 (b) -1\/19 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1045836 and 5544?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1230332030 (base 4) to base 3.\nAnswer: -211200021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) + (-728)\/(-117). Suppose -h + i*h = 10. Solve h*m - 6 = 0, 5*v + m + 1 = 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 0 - (-6 - (-50 - (-24 - (31 - 68))))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*r**4*y**2 + 111*r**4 - 3*r**2*y**2 + r**2*y + 12733*r*y**2 - 2*y**2 wrt r?\nAnswer: -888*r*y**2 + 2664*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1421.68 to the nearest integer.\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 620885777 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 31939 divided by -1681\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 15*g - 2. Let h(t) = t**2 + 23*t + 3. Let c(b) = -5*h(b) - 8*v(b). Let a(z) = -z**3 + z**2 - z - 5. Let o be a(0). Is c(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22 - (4 + -3))\/(-1). Let d(r) = -r**3 - 22*r**2 - 20*r + 23. Let a be d(q). Solve -u = a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(-1 - 2*b + 1) + (-2*b - 4*b + 3*b)*(-5 + 1 + 1) in the form m*b + f and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.149 + 0.049. Sort -2\/3, 0.4, v, 0.1 in descending order.\nAnswer: 0.4, 0.1, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.5. Suppose 0*d = -3*d + 12. What is the closest to -1\/4 in p, d, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*u + 59 = 0, -3*u = -4*z - 39 - 14. Is 22 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x + 0*x - 2*x)*(-13 + 3*x + 13) + 520*x - 520*x - 49*x**2)*(-7*x**2 + 5*x**2 - 5*x**2).\nAnswer: 322*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 588 and 54831?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 5*u**2 + 2 + 0*u**2 + u**2 + 5*u. Let p(m) = -6*m**2 - 6*m - 2. Suppose 2*q = 6 - 0. What is q*p(h) + 4*x(h)?\nAnswer: 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4291170 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.8 - 3. Let k = c + 0.2. Let i be (15\/(-10))\/(3\/(-2)). Is k bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-15)*8)\/((-77)\/(-110) - 1).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (10 - 2) - 3)\/(-1). Solve -l*s + 50 + 2 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8*(-15)\/100)\/((-3)\/(-10)). Suppose 0 = y*x - 6*x + 10. Solve 4*f = -5*d - 4, x*f + 3*d - 4 = -d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 15 + 5*n in the form w + j*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 209.1 and -192731.\nAnswer: -40300052.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -12. Let j = 7 + u. Calculate the remainder when 5 is divided by ((-3)\/3)\/(j\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4778937.\nAnswer: 3, 19, 27947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-60255)*1017*-25 + -73 + 84\nAnswer: 3\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from rrs.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 171490740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01006885862 to 4 dps.\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(32)\/sqrt(4) + sqrt(242)*1*-1)*1.\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8399 + -5899. Calculate the highest common factor of 300 and d.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.082 - 0.082. Let z = 9.0000043 - d. Round z to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 969*x - 370222. Determine j(382).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2209.14 - 143273.14. Let n = x + 141160.007. Let r = n - 96. Round r to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.1\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2. Let k(d) be the first derivative of 0*d - 4\/3*d**3 + 0*d**2 - 13. Calculate f(k(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 12 = -5*u - 5*x, 0 = -4*x - 20. Let p be (-16)\/(8\/6*u\/66). Let f = p + 21. List the prime factors of f.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15371\/21 - -732. Let h = 239\/4 + -60. Is h at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -20. Let n be w\/15*(-4 + -1). Let l be 109 - n*(-2)\/(-4). What is the highest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/12 + a**3 + 3*a**2 - a. Let c(h) = 10*h - 40. Let r be c(5). Let u be -1 + (6 + -1 - r). Calculate m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-20) - 120\/1104*23. Which is the third smallest value? (a) m (b) -92 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*h*i*p + 2*h*i - h*p + 2*i*p - 593*i + 198*p + 6 wrt p?\nAnswer: -30*h*i - h + 2*i + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1568 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4\/3 + 2212*y**3\/3 + 30534*y**2 + 29796*y = 0.\nAnswer: -39, -1, 0, 1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - j + (4 - 3 - 3)*(1 - 1 - j) + 278*j + 595*j - 69*j.\nAnswer: 805*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 591 - ((-112)\/(-42))\/(4\/6). What is the hundreds digit of 5 + 4 + 2 + w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46669 * -0.076.\nAnswer: 3546.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684) - sqrt(684)*-1)*3 - (-2 + sqrt(684) + -2)) + -5 + 2)**2.\nAnswer: 60*sqrt(19) + 17101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275080 rounded to the nearest ten thousand?\nAnswer: 2280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1650, 1517, 4684, 7851, 11018?\nAnswer: 14185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 4143841?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -337*f - 396. List the prime factors of i(-5).\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**8\/3360 - p**7\/1260 - p**6\/360 + p**5\/60 + 5*p**4\/24 + 2*p**2. Let a(v) be the second derivative of n(v). Factor a(t).\nAnswer: 2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1702818 divided by 3.\nAnswer: -567606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 > -178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*z**5 - 2\/9*z**4 - 2\/3*z**3 + 4\/9*z + 2\/9*z**2 + 0 = 0. What is z?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4 - 6 + 2 + 30*r**2. Let n(s) = s**2 + s. Let g(h) = -h. Suppose j - 2*z + 2 = 3*j, 4*j + z = -2. Let c(t) = j*n(t) - g(t). What is c(f(w))?\nAnswer: -900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.1 (c) -2\/7 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p - 33 = -30*p + z, -12 = 4*p - 4*z for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180804 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnbd when four letters picked without replacement from nnnbnbndndnnbnnnnnd?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 6*z**2 - 3*z - 7. Let k be x(-6). Let d(q) = -2*q + 1 + 11 - k + q**2. Calculate d(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.4 + 19.4. Which is the nearest to -15? (a) l (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3877 * 3\nAnswer: 11631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, -56, -77, -98?\n\"Answer: -21*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3276800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 81, 83, 85, 87?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -303048.2544 to the nearest one hundred.\nAnswer: -303000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-6)\/m*m)\/m)*m*m*m*m)**(-31) assuming m is positive.\nAnswer: m**(-372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4\/7))\/((u**9\/u*u)\/u))\/(u*u**(-1)\/u*u*u\/(u*u**(-16))*u*u) assuming u is positive.\nAnswer: u**(-179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 2978*x**7\/105 + 1651*x**4\/24 + 255*x**2 + 2*x - 2. What is the second derivative of q(n) wrt n?\nAnswer: 71472*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117998615 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 0.0402059?\nAnswer: -0.000804118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190942 is divided by 6801?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 - 2*b + 2. Let j be q(-1). Let p = -27 + 30. Solve j = a + p*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 7}. What is prob of picking 1 v and 1 q?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + -2*sqrt(539) + 0 + -1*(sqrt(539) + -2) + 4)**2*-1.\nAnswer: -4860 + 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21705174 to the nearest integer?\nAnswer: 4659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 89\/4, 0.17, 2\/3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*q = 20, c - 22*q + 4 = -18*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from ppc.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 1470285972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/561 and 5\/(-84)*(-27797)\/418 + 2*1?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3 and -0.431?\nAnswer: 0.9913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 455 - 212. Let r = v - 123. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2705305 divided by 2705305\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18727.69762 - -6.\nAnswer: -18721.69762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512.7 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine halves of a day?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 + 4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stprsspstrts. Give prob of picking 1 p and 1 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -19. Calculate the least common multiple of 1 - (8\/4 - h) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349497 to the power of 1\/2, to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, -5\/2, -14\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + 0.34. Let q = x - 0.4. What is the third smallest value in q, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 2*v + 5*o - 455, -4*o + 188 = 2*v. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 3149, 10181, 23673, 45731, 78461, 123969, 184361?\nAnswer: 261743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -115a?\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 3. Let s be f(-5). Let x = -10 - s. Solve l + x = -2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 13*h**3 + 9*h**2 + 18*h + 8. Calculate r(-3).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 26 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1542)\/(-14) - (-11)\/(-77) and 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 6. Suppose -4*r = -o*h - 30, 4*r = 3*r. Is ((-44)\/h)\/(1\/3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*i**2)*(-2*i**2 + 0*i**2 - 2*i**2) - 3*i**4 - 236*i**3 + 236*i**3 + 3.\nAnswer: -11*i**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1541 + 1552. Calculate the greatest common factor of b and 1177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0132 - -524.0132. Let l = g + -523. What is the third biggest value in -4, -1\/30, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154955352?\nAnswer: 2, 3, 29, 251, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 757019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pccbcpv. What is prob of picking 3 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 37*z - 40*z. Let u = z + -1. What is the lowest common multiple of 18 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*j + f**3 + 325890*f**2*j - 80*f*j + 2*f + 6*j + 103 wrt f?\nAnswer: 6*f*j + 6*f + 651780*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 509017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00100533299 to five decimal places.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 26. Give o(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -347 - -404. What is the greatest common factor of 228 and f?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/3)*(d**3\/d)\/d*(d*d*d**2)**50 assuming d is positive.\nAnswer: d**(602\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3027 = -3*w - 5*j + 421, 1152 = w - j. Let r = w - 710. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqnnqqqqqqqqqn. What is prob of picking 1 n and 2 q?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 39 + 6\/(-6) + (-6)\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -984644*o**2 + 1969317*o**2 - 984648*o**2.\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccxcxcxccccccxccc. What is prob of picking 3 x?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*u**2 - 18 + 23 - 5 as h + t*u + c*u**2 and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 38. Let c = -20 + y. Calculate the least common multiple of c and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 71644082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/114 and -65\/109947.\nAnswer: 4177986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3178276, 6356578, 9534880, 12713182?\nAnswer: 15891484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4\/5)*t)\/(t*(t\/((t\/t**8)\/t))\/t))\/(t*t**(2\/11)*t\/(t\/(t\/(t**(-2)\/t)))*t) assuming t is positive.\nAnswer: t**(-824\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0.22, 91, -1\/4, -1.2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 115*j**3 + j**2 + j - 1. Is 12 a factor of t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1104*c**2 + 554*c**2 + 552*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3 + g**2 - 2 - 19*g + 10 - 6. Calculate the remainder when b(20) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31409899 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103399490 to the power of 1\/2, to the nearest integer?\nAnswer: 10169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -12 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -54632502.8922 plus -0.044?\nAnswer: -54632502.9362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 91 times -21\nAnswer: -1911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*m - 122, m + 0*m - 38 = 2*p. What is m rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 4 + -22 + -5 - (34 + -38)) + 95.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**4*q**3 - 13*c**4*q + 86*c**2*q**3 + 2*c*q**3 wrt c.\nAnswer: 72*c*q**3 - 312*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9 = 5*m - 2*b, 5 = 3*m - 2*b. Solve -m - 1 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716759803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1707819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 12*f - 97. What is the smallest common multiple of f and 19?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 2 + 22 = 0. Let x(o) = -1564*o - 2 + 1570*o - i. Determine x(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 203783863\nAnswer: 1\/203783863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*m - 14, 3*i = -2*i + 5*m - 10. Solve i*u = -y + 2, -4*y - u = -3*u + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 3)*(1 + 2 - 4)*(-3*i**2 - 13*i**2 - 12*i**2) to the form o*i**2 + b + g*i and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151618 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 199*x**4\/6 + x**3\/3 + 318*x**2 - 413*x. What is the derivative of q(h) wrt h?\nAnswer: 796*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 582373050 divided by -27732050\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 4*l**2 + 4*l + 9. Determine w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 2*x - 1. Let p(q) = q**2 - 3*q - 2. Let c = 44 + -48. Let i(b) = -b - 7 + 3 + 4. Let m be i(-3). What is c*w(n) + m*p(n)?\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -35280\nAnswer: -917280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvo when three letters picked without replacement from {s: 1, o: 2, v: 2, t: 4}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449856269 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**3\/6 - 5*b**2 + 4*b - 3. What is i(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:13 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -227 - 180. Suppose u*n = 43*n - 18. Calculate the remainder when 20 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -4*w**3\/3 - 8. Let o(q) = 14*q. Determine o(i(s)).\nAnswer: -56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 6)*(g - g - 2*g**2)*(14*g**2 - 18*g**2 - 14*g**2) as o*g**2 + v*g**3 + z*g**4 + d*g + b and give z.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 1, s: 1, y: 3}. Give prob of picking 2 y and 2 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 1 + 99. Let b be (-26)\/(-10) - 15\/k. Solve -4*r + 1 = 5*f, -1 = -3*r - 2*f - b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1264269 or 1264268?\nAnswer: 1264268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189886471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -164 (base 8) to base 2\nAnswer: -1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 117 - 4*f**3 - 354 + 117 - 3*f**3 + 120 + 15*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b8 - 16?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = -30. Suppose 0 = 38*s - 36*s - 180. Let m be 1\/(2 + (-177)\/s). What is the highest common factor of m and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 109*p**4\/24 - 5*p**3\/2 + 48*p**2. What is the units digit of b(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -136303988, -136303990, -136303992, -136303994?\n\"Answer: -2*b - 136303986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488, -2204, -6688, -12958, -21008?\nAnswer: -30832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b = 0. Suppose -3*g + b = -3. Calculate the greatest common factor of 4 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-63)*14\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.342625 rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -19*o + 5. Let h(u) = 20*u - 4. Let y(a) = 3*h(a) + 2*p(a). Let n be y(-2). List the prime factors of (-1)\/2 - n\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + (-686)\/28. Let n = b - 12. List the prime factors of (-1 + (-4)\/(-16))*n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -425, -415, -401, -383, -361, -335?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8722999*h**2 + 4361500*h**2 + 4361504*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3393*t + 1. Let q(s) = -3*s**2. What is q(z(x))?\nAnswer: -34537347*x**2 - 20358*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24\/2095 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/4)\/((-198)\/(-528))*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 3*h**3 + 105 + 0*h**2 + 3*h**2 + 99*h - 10*h**2.\nAnswer: -3*(h - 5)*(h + 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -5*z**3\/3 - 9*z**2 - 15*z. Does 4 divide r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4 - 3420*a**3 - 10274*a**2 - 6852*a = 0.\nAnswer: -2, -1, 0, 1713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 23122?\nAnswer: -23122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3)*(2 + -4). Suppose -s + x = -3, -n*s + s + 3 = -x. Suppose 5*z = -0*c - c + 20, s = z + 3*c - 18. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 34*g**2 + g - 2. What are the prime factors of t(1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.016 or -20\/3411?\nAnswer: -20\/3411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-854.\nAnswer: 341.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i*i\/i**3*i)**10)**(1\/10) assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/5 + 3863*k\/5 - 7722\/5 = 0?\nAnswer: 2, 3861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55341061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -63, -164, -291, -444, -623?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -w - 23, 483*a + w = 485*a - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(0 - (-3)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 276*h - 3584. Let i be t(13). Solve 3*c = 4*a - 17, -4*a + i*c = 2*c - 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from vtyetwvy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 83, 20, -99, -292?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.01 + -0.01. Let u = t - 13.5. Let w(h) = -h**2 + 9*h - 10. Let o be w(7). Which is the third biggest value? (a) o (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2541.25ml?\nAnswer: 2.54125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158\/12 + 5\/(-30) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*k - 2*k - 84, 5*n = -2*k + 49. Solve -3*t = -10*y + 7*y - 12, -n = -4*t + y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*d + d + 2*d)*(-3*d**2 - 2 + 2).\nAnswer: 6*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x - 5. Let y(b) = -11*b - 11. Let n(r) = -7*t(r) + 3*y(r). Let s be n(1). Let j(z) = -z**2 + 5*z + 2. Let c be j(s). Let w(h) = h. What is w(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/2851 or 1?\nAnswer: 12\/2851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-1 + (-20)\/12). Let f(d) = 8*d - 90 - d**2 + s*d + 75. What is the units digit of f(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5028 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from vvvpvvvvvvvpvvpv?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32753 - 3.\nAnswer: 32750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 20 = -2*x, 2*a - 2*x - 2 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, g: 4, k: 4, o: 5, q: 1, l: 2}. Give prob of sequence ggg.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(120)\/sqrt(4)*-5)*3)\/(sqrt(12)\/(sqrt(4)\/sqrt(2)*1)).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/12)\/((-1)\/(-8)). Solve u - 12 = -2*o, 0 = u - 0*u - d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = n + t, 9*n + 4*t + 30 = 5*n + 6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24\/(-60) + 172\/5 and -4 + 42*(-18)\/(-63)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2573745756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-504)\/(-42))\/6*63\/(-42)*-5*5.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-168)\/15 + 1\/5. Let a = d - -16. Let q(y) = 2*y - y**2 + 2*y + a - 2*y. Give q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - p)*((9 + 2 + 1)*(3*p + p - 6*p) - 2*p - p + p).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.71 + 0.31. What is the nearest to -1 in 3\/4, -2\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 12*o - 8. Let t = -93 - -80. What is m(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/9)\/((88\/(-572))\/((-1407)\/(-871))).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 30127.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*v = -4 - 7, -3*n - 12 = -5*v. Which is the nearest to n? (a) -4 (b) -1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - -10*(-2)\/10. Factor -1\/5*q**4 + 0*q**j + 0 + 1\/5*q**2 + 0*q.\nAnswer: -q**2*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*u - 56, 3*u + 4*p - 22 = 2*p. Let m = 24 + -7. What is the lowest common multiple of m and u?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + (6 - (-2 + 1)) + 138 + -156?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 836 and 16611716.\nAnswer: 315622604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 6\/7 (c) 76 (d) 53 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 4*r**2 + 4*r**2 to the form c + d*r + p*r**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544 (base 7) to base 14.\nAnswer: 15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10433262, 20866520, 31299778, 41733036, 52166294, 62599552?\nAnswer: 73032810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h - 11. Let m be (-2637)\/(-12) - (-12)\/h. Let o = 310 - m. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/65 in 3\/61, 1, -1\/3?\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + -1*(-5 + sqrt(52)))**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 193*n - 209*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 4*w + 3*y - 25, 2*w - 3*y = 69. Let v be (-7)\/w*(2 + 0). Let j = -0.4257 + -0.0743. Which is the closest to v? (a) 5 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 44*b - 37*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o*o**(2\/7)*o*o)))\/o**(-8))\/(o**(2\/5))**(1\/12) assuming o is positive.\nAnswer: o**(2573\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5*7489636\nAnswer: 37448180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**4\/16 + 2*r**3\/3 + r**2\/8 - 2*r + 100. Factor m(f).\nAnswer: -(f - 8)*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.9 - 17.90000091. Round p to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 20. Let t(x) = -6*x - 39. Let l(k) = -5*j(k) - 2*t(k). Let f be l(-6). List the prime factors of (14 - 11)\/((-6)\/f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 + 3*n - 8.\nAnswer: (n - 2)*(n + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-7) - (-12)\/(-42). Factor 10\/7*z**2 + 0 - 2\/7*z**4 - 6\/7*z - s*z**3.\nAnswer: -2*z*(z - 1)**2*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 12, 231 - 18 = 4*y + 3*t. Let d(v) = -9*v**2 + 17*v + 17. Let p(s) = s**2 - 2*s - 2. Calculate y*p(h) + 6*d(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kckrhhk. What is prob of sequence chk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*n**2 + 19*n**2 + 12*n**2)*(-5*n + 10*n + 1 + 1) in the form o*n + l + h*n**3 + d*n**2 and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -196 in 425, -2\/3, 0.6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1179675 and 168525.\nAnswer: 1179675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 12*y - 6 + 12)*((6 - 3 - 1)*(2 - 1 + 0) - 6 + 3 + 1 - 2 + 7 - 3) as b*y + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34403368 a multiple of 2078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 - 117*j + 1134 = 0. Calculate j.\nAnswer: -126, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/2 and 0.06 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*1*(-60)\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4 - 44204*f**3 - 5046128*f**2 = 0. Calculate f.\nAnswer: -113, 0, 11164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -31*h**2 - 853*h - 23. Let w(a) = 3*a**2 - 2*a + 2. Calculate o(p) + 10*w(p).\nAnswer: -p**2 - 873*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 3:49 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -30110323332?\nAnswer: 30110323333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 4. Let p be h(4). Suppose 3*v - 295 = p. What is v rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 4 in decreasing order.\nAnswer: 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**3 + g**2 + g - 5. Let c(l) = 3*l**3 + l**2 - 4. Calculate 6*c(q) - 5*z(q).\nAnswer: 3*q**3 + q**2 - 5*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.908662ml to litres.\nAnswer: 0.005908662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120076*b - 65150 with respect to b.\nAnswer: -120076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (2 - (0 + 1)). Let y(k) = k**2 + 4. Let f be y(l). Suppose -5*i + f = -1. Calculate the greatest common divisor of 11 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -q - 184, -3*k + 238 = -2*q - 36. Suppose g - 5*g + 5*m + 74 = 0, -4*g - 3*m + 58 = 0. What is the remainder when k is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 26*y**3\/3 - y**2 + y + 1. Let n = -1 + 2. Let l be t(n). Solve 4*z + z + l = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.117 + 7.003. What is p rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72561 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 210946 divided by -7274\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 84753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3915*k - 34. Let z(i) = -4*i + 12. Give j(d) + 3*z(d).\nAnswer: 3903*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 = -55*b + 4 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2042574 (base 8) to base 11\nAnswer: 3402a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 434615 + -6?\nAnswer: 434608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -6*n - 3. Let o(u) = -36*u - 41*u**n - 23*u**2 - 34*u + 66*u. Let i(t) = -t. Let q(b) = -4*i(b) + o(b). Find the third derivative of q(x) wrt x.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11185 = -4*g - 5*l, 2*g + 29*l = 30*l - 5603. Let b = 4174 + g. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 16 = 6*i. Solve -14 = 5*q - i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = -3*u - 30, -3*u - 295*y + 290*y - 24 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a week?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 2*j - 2*f, 2*j - 3*f - 1385 = -1430 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 567*n + 2. Let o(f) = 1133*f + 5. Determine -5*h(w) + 2*o(w).\nAnswer: -569*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 + t**2 - 7*t**2 - 2*t**2 to q*t**2 + d + i*t and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -2*a + 3*c - 1144, -4*c = -4*a - 2096. Let w = a + 1772. What are the prime factors of w?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5247 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 103 = -5*i - 5*x, -4*x + 50 = 2*i. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16911 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -824247 less than 10718.172?\nAnswer: 834965.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/66*1\/(-2)*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417709818 divided by -139236606?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 9*y**2 + 33*y - 583. Calculate f(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 1. Calculate f(13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/((-128)\/64)*1\/(-16)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*k + u, -5*k = 5*u + 15 + 20. What is the second smallest value in k, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i + 21. Let j be l(3). Suppose 0*y - 2*y - 5*n = -198, -j*n = 12. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 8*y + 2. Let b be x(8). Let j be 1*(b + (38 - 1)). Suppose 15 = -4*u + t - j, -2*t - 48 = 4*u. Which is greater: -12 or u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*h**2 + 142*h**2 + 30*h**2)*(3*h + 3*h**2 - 3*h) + 2*h**4 + h**4 - 4*h**4 + 4*h**4 + 0*h**4 - 5*h**4 + (h**2 - 2*h**3 - h**2)*(2*h + 0*h + 0*h).\nAnswer: 273*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5646 + 535*j + 5646)*(2 + 4 + 0).\nAnswer: 3210*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/2 + 31973*p**2\/2 - p\/2 - 31973\/2 = 0. What is p?\nAnswer: -31973, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6*(-2)\/4)\/(-1). Suppose 1 + f = r. Differentiate -2*y + r - 4 + 5 - 4 with respect to y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 - 11 = 35*o. Suppose o*z = 4*w + 4 - 0, 4*z + 2*w + 2 = 0. Solve z = 22*q - 18*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 15*t**3 - t**2 - t + 1. Suppose 2 = 5*d - 3. Calculate o(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54550 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19804272 and 10.\nAnswer: -198042720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*t - 24 = 0, 18*n - 16*n - t - 4 = 0. Solve -n*l - 16 = -4*g, 6*l - l + 16 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 5. Let h(k) = 2*k - 3. Let g(l) = -5*h(l) + 3*p(l). Let d(x) = -2*x. What is g(d(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 704 divided by 8\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 3*f**2 - 4*f + 4. Determine i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 874*l - 291*l - 295*l - 311*l.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 0.107425, -0.051 in increasing order.\nAnswer: -0.051, 0.107425, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 + 151\/(-9). Let g = -15 - h. Let y(v) = v**g + 33 - 33. Let c(j) = 7*j**2. Calculate y(c(r)).\nAnswer: 49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 8448 and 736742.\nAnswer: 745190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19612 + -26.\nAnswer: -25.80388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*w + 3*m + 165, -4*w = 5*m - 141. What is the greatest common factor of 85 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1716)\/180 - -10 - (-7)\/5 and 29\/2313?\nAnswer: 11565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -46 - (-90 - -52) - (3 + -1 + -17)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -0.49486759682?\nAnswer: -1.49486759682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + j. Suppose -6 = 2*q + 4*f, -4*q - f - 1 = -10. Factor -2\/3*w**q + 2\/3*w + 0 + j*w**2.\nAnswer: -2*w*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 1885*s**2 + 14795*s - 12915.\nAnswer: 5*(s - 369)*(s - 7)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 2e3?\nAnswer: 2e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 14*b + 1. Let y(i) = i**2 - i. Calculate n(o) - 3*y(o).\nAnswer: -o**2 + 17*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/3710 and 109\/8162.\nAnswer: 40810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:49 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 434*o - 13427.\nAnswer: (o - 463)*(o + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 4*a**2 + a + 5. Let x be z(-4). Let u(v) = 20*v + 1. Is 7 a factor of u(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 74*t**2 + 3*t. Let u(j) = -j. Determine -d(o) - 3*u(o).\nAnswer: -74*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**3 - 108*g**2 - 13*g - 86. Let h(s) = 4*s**3 - 58*s**2 - 6*s - 45. Let q(f) = -6*b(f) + 11*h(f). Give q(-6).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from dssssssnpsssssp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 4642\/1201 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129 or -50002\/385?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 16*m - 98. Suppose 3*z = -4*n + m, -z = 5*n + 1 - 2. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18711 by -1701.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y**38*y)\/y)\/y)\/y**(-31)*y\/((y\/((y\/(y**(7\/6)*y*y))\/y))\/y*y)*y\/(y**13*y) assuming y is positive.\nAnswer: y**(323\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + 17. Let r be z(0). Suppose 2*o - 3 = -2*a + 11, 2*o + 3*a - r = 0. Let x = 37 - 32. What is the third smallest value in x, -0.05, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v - 10. Calculate the remainder when h(3) is divided by (1 + 258\/36 + -8)\/(1\/150).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 605*v + 18*v**3 - 17*v**3 - 605*v - 9*v**4 + 29 to q*v + r*v**4 + c + d*v**2 + s*v**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/8 - (-2)\/(-8). Let x be 3\/6 + u\/(-2). Solve -4 = -2*z, 3*o - 2*o + x*z - 1 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 + 14*h - 51*h - 172023*h**3 + 171988*h**3 in the form r*h**3 + k*h**2 + n*h + l and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*r*v**4 - r*v**2 + 137*r*v - 411*v**4 + 162*v**3 - 9*v - 1197 wrt v?\nAnswer: 1416*r*v - 9864*v + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3495\/(-315) + 11 - ((-640)\/252)\/1?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + 62 + 11 + 1 + 6 - 40.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) -113 (b) 34 (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12541 + 55304?\nAnswer: 42323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 1\/6*k**3 - 5\/2*k**2 + 27*k + 0. Determine l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10566 is divided by 137.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2988242 is divided by 1148.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 128364 divided by -873\nAnswer: -42788\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1627.4 + -1627. What is the closest to 17 in b, 0.5, -2, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 476 = -2*b, 3*b - 952 = -b + 4*q. Calculate the greatest common divisor of b and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(2\/7)\/z)*z*z*z*z*z**(-2\/11)\/z*z*z)\/((z*z**(-1)*z)\/z)**(-15\/4)*((z*z**0)**(-18))**(-1\/4) assuming z is positive.\nAnswer: z**(1699\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -a3?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 220 + -84. Is u less than 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*(-2)\/(-16) + 180\/60.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*x = 309*x - 988. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2685 + -2689. Sort 2, f, 1\/5, -2.4.\nAnswer: f, -2.4, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yydynryryysdyyqr. What is prob of picking 2 r, 1 s, and 1 q?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 10 + 5 + 5.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1888*x - 1957*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -31982.\nAnswer: -31982, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 77 + 42. Determine s so that 243*s**u + 527 + 11280*s + 18916*s**3 - 9190*s**3 + 25560*s**2 + 7552*s**4 + 2573*s**4 + 16194*s**3 + 1345 = 0.\nAnswer: -39, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 80\/2*(-836 + 835)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(2\/5)*u)*u)**(-8\/9) assuming u is positive.\nAnswer: u**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -1130023130?\nAnswer: 1130023101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023826 to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwmwlwdhwm. Give prob of sequence wh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436 a factor of 794496472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49354, -197297, -443844, -788983, -1232702, -1774989?\nAnswer: -2415832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33840 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-16)\/12))\/27*-4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - x - 4*x - 38 = 0, -5*q + 2*x = -76. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70 - 22*o - 30*o - 13*o**2 - 10*o**2 + 28*o**2 - 13*o.\nAnswer: 5*(o - 14)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1373 + -1?\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/3 at least as big as -0.105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71891039 or -71891037?\nAnswer: -71891039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2233 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)*k\/(k\/((k*k**(-7))\/k)))\/(k\/k**(1\/3))**(7\/4)*((k\/(k\/(k*k**(-7)\/k)))\/(k\/(k**(-6)*k)*k))**(-1\/26) assuming k is positive.\nAnswer: k**(-907\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1486025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1 + -1) - 6 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3221 divided by -1150\nAnswer: 3221\/1150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -24 - 22 - i + 49. Let q be v(-1). Suppose 0 = -q*r - a + 2, -6*r = -r - a - 7. Solve 1 + r = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2560*i - 2434. Let v(k) = -5*k - 1. Let p(d) = t(d) + 12*v(d). What is the first derivative of p(y) wrt y?\nAnswer: 2500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 1323.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnqnnennn. Give prob of picking 1 e and 1 h.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-1 - -2 - -7). Let o be -2 + (0 + 4)*17. Suppose -f*q + 132 = -o. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a - 2. Let f(t) = -12*t**2 - 3*t + 15. Give f(d) + y(d).\nAnswer: -11*d**2 - 4*d + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 11220222?\nAnswer: 11220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 4) in base 3?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4515 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1342*d**2 + 24*d - 8*d**3 + 3875*d**2 - 1189*d**2 - 1344*d**2.\nAnswer: -8*d**3 + 24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4265, 4262, 4259?\nAnswer: 4256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58021 by 6.\nAnswer: 58021\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u + 10. Let k be 1\/u*(-1 + -5). Suppose 5 = -5*o - 5*b, 2 = k*o + b + b. Is o smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/8 and 56\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/5 - 16*u**3\/5 + 32*u**2\/5.\nAnswer: 2*u**2*(u - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 40049070?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5810 - -6479. List the prime factors of f.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 4, 12, -13, 3, -27 in decreasing order.\nAnswer: 12, 6, 4, 3, -3, -13, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let o be l(6). Suppose -10 = -o*u + u. What is the tens digit of (-2)\/4 + ((-1085)\/u)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*g**2 - 66 + 66)*(-4 + 6 + 0) + 2*g + 236*g**2 - 235*g**2 + 5 - g - 2*g + 2*g + 2*g**2 in the form i + b*g**2 + m*g and give b.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + x**2 + x + 4. Let y be n(0). Suppose t = y + 2. Suppose -t = 3*a - 0, 0 = p + 3*a - 14. Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Suppose -336 - 141 = -v*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**24\/(b**(-5\/3)*b**(-3\/5)) assuming b is positive.\nAnswer: b**(394\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3190 + -1708. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1861 - -1810. Put -5, b, 0 in descending order.\nAnswer: 0, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 105 = -5*u, -2*u = 2*i + 3*i - 91. Calculate the remainder when i is divided by ((-21)\/14)\/((-21)\/140).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836683103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 29*v - 139. Let m be t(-23). Is -0.42 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/24 and -61\/219.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 2*r**2 + 4*r + 1. Let k be s(-3). Let a = 13202.4 - 13202. Let u = 0.02 - 0.32. What is the closest to a in -1, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l. Let p be 28\/8*67956\/49. Let i(v) = -p*v + 4854*v + 44*v**2. Determine i(h(d)).\nAnswer: 396*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 150221*w - 150312*w + 7553 for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111443 (base 11) to base 8.\nAnswer: -532622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5820152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - 64*g**2 + 0*g**2)*(5*g - 2*g + 0*g).\nAnswer: -177*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*v + 2510*v**4 + 169 - 162*v - 119 + 70*v wrt v.\nAnswer: 30120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6656720 divided by -118870?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211698?\nAnswer: 2, 3, 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362209476 by 3.\nAnswer: -120736492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-135) - (21 + (-3184)\/60).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -260, -340, -420?\n\"Answer: -80*x - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5.2. Let h = -59 + 61.3. Let i = h - 2.5. Which is the third biggest value? (a) -8 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 0*x**2 + x**2 + x**3 + (2 - 2*x**3 - 2)*(6 + 9 + 6) to l*x**3 + s + f*x**2 + b*x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(7) + 3)*5)**2.\nAnswer: 1800*sqrt(7) + 5175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -9609.1?\nAnswer: 9612.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and -1.0645?\nAnswer: -32.9995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from xxamiimxmixaa?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r**2 + 3*r - 2. Let o(g) = -18*g**2 + 5*g - 5. Let q(w) = 5*a(w) - 3*o(w). Is q(3) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + b - 10 = 0, 4*b = -2*g + b + 2. What is the lowest common multiple of 12 and 142\/g + 4\/(-14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -130*l**2 - 1246*l - 134. Give w(-9).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7475 = 533*w + 241*w + 1813 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217834 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -10022?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.1427346 to 2 dps.\nAnswer: -4.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -6 - 8*201\/(-240).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8*15.52.\nAnswer: 43.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2. Let d(n) = 10*n**2 + 46*n + 2095. Give d(j(s)).\nAnswer: 10*s**4 - 46*s**2 + 2095","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-537)\/2506*(-28)\/426.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26606695 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69593\/12 + -5790. Calculate the common denominator of h and -81\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4667, 18639, 41917, 74495, 116367, 167527, 227969?\nAnswer: 297687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 r when three letters picked without replacement from rrryrryrrryyyrrrrrrr.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 362165 smaller than 362165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 9*z**2 + 8*z + 6. Let h be j(-8). Let u be 1 - 2 - (-3 - 1). Solve 5*c = h*i - u*i + 14, -4*c + 10 = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 equal to -0.85379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - b - 2*b - 8699997, -2*b - 5219998 = -3*c. What is c rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2684 + 2690. What is the closest to -0.3 in g, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212332430 (base 5) in base 9?\nAnswer: -10038006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 - (-3 + -4 + 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 5\/(-10)*8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7589602957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 265127 divided by -265127?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 486667949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) 1\/7 (c) -0.6 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -644.667.\nAnswer: -644.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6905.\nAnswer: 5, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*h + 28*h + 4*h**2 + (-6*h**2 + 2*h**2 + 2*h**2)*(0 - 4 + 5).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/3, 3, 15 in descending order.\nAnswer: 15, 3, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1878*p = -2*d - 1873*p + 44680, 5*d - 2*p - 111763 = 0. What is the greatest common divisor of 85 and d?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -293, -435, -573?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 - 7*r + 4. Let q be 3*((-50)\/42 + (-8)\/56). Let b(z) = 5*z**2 + 8*z - 5. Let p(v) = q*c(v) - 3*b(v). Give p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -47*c - 6. Let f be x(-2). Calculate the highest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.93348 decades in months?\nAnswer: 10072.0176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -14\/5 (b) -2\/17 (c) 5\/4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 764666755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 117, 465, 1033, 1827, 2853, 4117?\n\"Answer: n**3 + 104*n**2 + 29*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13022888530 - 7.58\nAnswer: -13022888537.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2667404?\nAnswer: 2, 37, 67, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**0\/r)\/r)\/r)**(-25))**(-2\/7))**(-32) assuming r is positive.\nAnswer: r**(4800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 9)\/(0\/(-15) - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 1:24 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1048*a**2*f**2*u**3 - 16*a**2 + 621*a*f*u**2 - 2*f**2*u**2 - 22*u**3 wrt u?\nAnswer: 6288*a**2*f**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6789768.\nAnswer: 2, 3, 282907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 214311, 1.\nAnswer: -6, 1, 214311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.7740454*-29\nAnswer: 22.4473166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0 - 1\/12*n**4 - 2*n**2 + 1\/6*n**3 - 1\/20*n**5 - 3*n. Give w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11559990709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:17 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, o: 1, w: 2, d: 8}. Give prob of sequence odd.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3932579 is divided by 100835.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 0.0727008.\nAnswer: -0.4727008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3526 is divided by 3490?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**7\/1008 - 133*i**5\/30 + 44*i**2. Let r(m) be the third derivative of l(m). Let u(z) = 3*z**2 - 6. Calculate r(u(h)).\nAnswer: -15*h**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 11 + 8 - 19.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 0*l**2 - l**3 + 5*l**2 - l as c*l + v*l**2 + s + i*l**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3139, -6008, -8851, -11662, -14435, -17164, -19843, -22466?\nAnswer: -25027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/51, -2\/9, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2135558703?\nAnswer: 17084469624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/2 + 453*s**2 - 2709*s\/2 = 0. Calculate s.\nAnswer: 0, 3, 903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -521 + 536. Solve 9*r - 6 = u*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**5 + 5*i**5 - 2*i**5 + (-i - 2*i + i)*(-3*i**4 + i**4 + 3*i**4) + 12*i**5 + i**5 + 5*i**5.\nAnswer: 14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f**2 - 1097*f + 125. What is q(-122)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 24. What is b(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 113?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + 2*y**4 + y**2 + (y - 2*y**2 - y)*(2*y - 2*y + 2*y**2))*(-2 + 2 - 1)*(3 - 13 - 12) to the form m*y**3 + s + l*y**2 + p*y**4 + q*y and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -329403 take away -5858?\nAnswer: -323545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 317 = -3*s, -17*v = -2*s - 22*v + 213. Solve 0 = -s*o + 100*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 5*s**2 + 2. Let q(j) = -j**2 - 5*j + 1. Let i be q(-4). Let k be p(i). Differentiate 1 + 4*t**k - 5*t**2 + 0 - t**2 with respect to t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27184998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 100\/(-3)*(-30)\/25. Let k = -22 + j. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.5, 88, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*z + 203*z - 14 = 103*z - 44 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l. Let h(a) be the third derivative of -3*a**5\/40 - 61*a**3\/6 - 22*a**2. Let n(c) be the first derivative of h(c). Calculate n(r(p)).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p - 5*r - 21, r + 1 = 3*p. Let q be p + 2 + 6\/3. Let g be (-1)\/(-2)*-2 + q. Solve -c = -g*n - 3*c - 16, 4*n + 27 = -3*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 - (-6)\/21. Suppose p = n + n. Suppose 3*d - 2 = 4*r - 3, 0 = -5*r - 3*d + 35. Solve 2*m - r*z - 3 = -m, n = -m + z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19537 divided by -7.\nAnswer: 2791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 10:15 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 r, and 1 z when four letters picked without replacement from szrjtrp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.0355.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 + -1 + 1 + 5 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440344632.\nAnswer: 2, 11, 491, 56479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*y**2 + 1785*y**2 + 1483*y**2 to d*y + q + t*y**2 and give t.\nAnswer: 3311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10232303233 (base 4) to base 9.\nAnswer: 2300334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6050)*1 - sqrt(6050)) + sqrt(6050) - sqrt(50))\/((sqrt(90) + (sqrt(90) - -1*sqrt(90)) + sqrt(90))\/sqrt(9)))**2.\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 24*x**2 - 7*x - 6. Suppose 2*f - w = -13, 4*f + 21 = 3*w - 2*w. Let p be y(f). Calculate the highest common factor of p and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(352) - (sqrt(352) - (sqrt(352) + (sqrt(352) + (sqrt(352) - (sqrt(352) + sqrt(352)*1 + sqrt(352))) - sqrt(352)))))*-3)\/(1*sqrt(1100)*2).\nAnswer: -9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/10 (b) 0.0399912 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -19. Suppose 5 = 2*z - m*u, 0 = -2*z + 7*z - u - 6. Let j(b) = -b**3 - 2*b**2 + b - 1. Let i be j(-3). Sort z, -3, i in decreasing order.\nAnswer: i, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -33)*14\/2*1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67 and -2.83?\nAnswer: 189.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12214 - -12212. What is the closest to -0.1 in 5, r, 4, -29?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077251 is divided by 151.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(2*(-21)\/(-28)) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -1123174363?\nAnswer: 1123174361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5959156 and 14462.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09431985 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -83454629 plus 4.23112?\nAnswer: -83454624.76888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111614.\nAnswer: 2, 3, 7, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 - 5*n**4 - n**4)*(9 + 0*n + n - 2).\nAnswer: -n**5 - 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 5. Let d(s) = 2*s**2 - s + 14. Let i be d(t). Calculate the highest common divisor of i and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -5\/29, -4\/5?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 15?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**4 + 30490*h**3 + 46573340*h**2 + 278343480*h = 0.\nAnswer: -3046, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17449013, -17449014, -17449015, -17449016, -17449017, -17449018?\n\"Answer: -s - 17449012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -529712964 divided by -4?\nAnswer: 132428241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (246 - 173 + 330)*(7*k + 0*k - 4*k)*(-1 + 2 + 0).\nAnswer: 1209*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 7*f**2 - 2*f + 50. Let x be j(6). Solve x*s = -35 + 37 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 555821546.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 3)*(-1644*j - 2218*j + 1701*j) + (2 + 0 + 0)*(0*j - 5*j + 3*j) as n*j + m and give n.\nAnswer: -2165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3647?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 39 - 6 = 0. Let v be -1 + 2 - (-2 + 0). Suppose 2*t = -4, v*g - 2*t - 30 = t. Calculate the remainder when r is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1\/4*1. Let z = -5823\/5 - -1165. Suppose b = 2*b + 5*m - 15, 15 = -3*b + 5*m. What is the fourth biggest value in 4, b, z, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -148. What is the least common multiple of 18 and m?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2050060 is divided by 1025029.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.82 - 3.9. Let j = -0.08 - l. Let i be ((-182)\/455)\/(3\/(-5)). What is the nearest to -1 in -4, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 41 = -5*k. Let f(o) = 3*o + 15. Let y(g) = -1. Give k*y(c) + f(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (154 + 152 - 137)*(3*t**4 + t**4 - t**4) to the form c*t**4 + x*t**2 + y*t + s*t**3 + n and give c.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 n when three letters picked without replacement from {m: 4, c: 1, n: 4, a: 1, t: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z + 26460 = -27*z. Does 98 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {w: 1, k: 7, h: 2, x: 4, t: 2, a: 4}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -5\/12*k**4 - 2*k**2 + 0*k + 0*k**5 + 0*k**6 + 0 + 0*k**3 - 5\/42*k**7. Find the second derivative of t(s) wrt s.\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3330, -0.3, -0.4, -1.992, 1\/4 in ascending order.\nAnswer: -3330, -1.992, -0.4, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -23*u. Let q(m) = -18*m. Let t(y) = -1. Let o(k) = -q(k) + 4*t(k). Calculate the remainder when o(4) is divided by r(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6070789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(2*o + 3 - 2 - 5)*(2 + 1 - 5).\nAnswer: -8*o + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954916 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 - 4*q**2)*(6*q + 4*q**3 - 6*q) + (-6*q**2 - 16*q**2 + 7*q**2)*(-2*q + 2*q + 2*q**3) - 3*q**5 + 2*q**5 - 4*q**5.\nAnswer: -51*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*x + 469, x + 5*a - 129 - 101 = 0. Let o = -22 + x. Suppose 4*p = 5*n - 0*p - 1027, 3*p - o = -n. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3521178 is divided by 8095.\nAnswer: 7948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.4 - -35. Let t = -9.6205 + w. What is t rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 0*p**2 - 4*p**2 + 0*p**3 + 3*p**2 + 1 - 9*p**3. Let s be t(-1). What is the second derivative of 14*o - s*o**4 + 2*o**4 - 10*o wrt o?\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*x + 196*o**2*y**2 - o*x*y - 2*o*x - 2*o*y**2 - 80*o wrt o.\nAnswer: 4*x + 392*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*z - 92*z + 50 = 0. Let g(o) = 243*o**2 + 244*o**z - 495*o**2. Let i(j) = -14*j**2. Give i(g(b)).\nAnswer: -896*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**2\/w)\/w*w)\/w*w*(w\/(w**(5\/8)\/w*w))\/w*w\/w**7*(w**(2\/3)\/w*w)\/w*w)**8 assuming w is positive.\nAnswer: w**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 2. Let g be v(0). Let l = g - -6. Suppose 3*k + f = 54, -l*k + 10*f + 53 = 5*f. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 53143*n**2 + 18*n - 800. Let x be l(24). Round x to the nearest one hundred thousand.\nAnswer: 30600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3506 plus 0.127041717?\nAnswer: -3505.872958283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19995660 divided by -5\nAnswer: -3999132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -376*r**3*t**5 + 60*r**3 + 5*r**2*t**2 - 2*r*t**6 - 1 wrt t.\nAnswer: -22560*r**3*t**2 - 240*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2658 in 3, -2\/11, -9, -5, 48?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 52. What is i(-39)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248070 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-70)*7*350\/(-105)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2546\/(-1064)*-10 - (-3)\/42.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5}. What is prob of sequence wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - w**2 + 2*w**2 + 19*w**2 + 9*w**2 - 6*w**2 + (0*w - 4*w + w)*(-w + 3*w + 0*w) + 5*w**2 - w**2 - 2*w**2.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, m: 1, z: 2, j: 7, i: 2}. What is prob of sequence jz?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49241, -49237, -49233, -49229, -49225, -49221?\nAnswer: -49217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -602 + -414.4\nAnswer: -1016.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/220 and 69\/9957800?\nAnswer: 109535800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-3)*(32200\/(-736) + 204\/6)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/3)*((r*r**(8\/5)*r)\/r)\/r)**(1\/43) assuming r is positive.\nAnswer: r**(49\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22570 is divided by 808?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 54*h**2 + 52*h - 3. Determine i(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -113232301?\nAnswer: -113232310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:12 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 328, 754, 1346, 2104, 3028?\nAnswer: 4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b8 + 769?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23164912 or -23164913?\nAnswer: -23164913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1249800 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 - j**3 - j**3 + (-j**3 - 2*j**3 + 4*j**3)*(35 - 15 - 204) + 0*j**3 - j**3 - 3*j**3 to the form x*j**2 + g*j**3 + t + m*j and give g.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40779453 a multiple of 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 4. Let c(i) = 2 + 5*i - 6 - 9*i + 5*i. Suppose v = -3*f - 0 + 5, 2*f - 3*v = -15. Let m be c(f). Give k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-144)*-879 - 3\/12 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46450844?\nAnswer: 2, 11, 709, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -948, -1423, -1876, -2307, -2716?\nAnswer: -3103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/52373580 and -81\/16?\nAnswer: 209494320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*p - 218*p - 3*c = 184, -5*p + 5*c + 170 = 0. What is the lowest common multiple of p and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 8032*t + 16*t**2 - 7*t**2 + 8271*t to x*t**2 + r*t + z and give r.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -976 = -3*g - v, 5*v + 458 = g + 106. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/(-391) + 160\/(-136))\/(1\/19)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:17 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80989774*w**3 + 40*w**2 - 99406 wrt w.\nAnswer: -485938644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**4\/4 - 5*h**3\/3 - h**2 - 4*h + 2. Is o(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -561, -1108, -1641, -2154, -2641, -3096, -3513, -3886?\n\"Answer: t**3 + t**2 - 557*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -2. Is q smaller than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/145, 2, -7, -4\/7, -5 in decreasing order.\nAnswer: 2, 4\/145, -4\/7, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.6497308 to two decimal places.\nAnswer: 99.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 10398.7453 to the nearest 100.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11140, -11141, -11142?\nAnswer: -11143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6070 to the nearest 100.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 0 + -33 + 87. Calculate the highest common factor of 99 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233526093 rounded to the nearest 10000?\nAnswer: 233530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26a47 (base 11) to base 16\nAnswer: 9681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267 + -254. Suppose 0 = -t*p + 7*p - 6. What is the second biggest value in p, 0.97, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 9*k + 64 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*f - 22 = 0, 0 = 3*u - u - 4*f - 26. Suppose -2*c + 0*l + 5*l + 49 = 0, 3*l = u*c - 51. Let b = 5 + c. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96750 divided by -6.\nAnswer: 16125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011378 rounded to four decimal places?\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 26 - 44. List the prime factors of (12\/14)\/(10\/w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnnqlqqlllnlllqqn. What is prob of picking 3 n and 1 l?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1082 and 580868995.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**5 + f**4. Let a(w) = 11*w**5 + 2*w**4 - 4*w. Let y(u) = a(u) - 2*v(u). Find the second derivative of y(k) wrt k.\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1 - 4*m**3 + 3*m**2 + 6*m - 4*m**2 + 7 - 4*m**2. Let u(g) = -7*g**3 - 9*g**2 + 11*g + 11. Let q = 4 + 7. Determine q*j(c) - 6*u(c).\nAnswer: -2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3176*g - 3180*g + 88 = -2*w, -g + 28 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 226131739.8 plus -0.5?\nAnswer: 226131739.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 3*a**2 - a + 3. Let s be z(3). Let i be (2 - 2 - s)\/(-1). Let c(t) = -t**2 + 5. Let f be c(i). Solve 2*o = 2*g - 12, -g + 21 = -f*o + g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2. Let c(o) be the first derivative of 11*o**2\/2 + 7. Calculate j(c(g)).\nAnswer: 605*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 - 59*p - 190. Give h(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5*h - 4*h + h)*(-124 - 256*h**2 + 124) as y + n*h**2 + f*h**3 + k*h and give f.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10970818 a multiple of 1283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8544)\/8188)\/((-34)\/23)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (3 - (-7)\/(-2))*(-76)\/19 - -20775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 86700.03mg?\nAnswer: 86700030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -71. Let m(s) be the second derivative of 1\/20*s**5 + 0*s**3 + 0*s**g + 0 + 1\/6*s**4 + 2*s. What is the third derivative of m(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -13. Suppose -5*x - h + 299 = d, 3*x + x + 2*h - 244 = 0. What are the prime factors of x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, -1\/10, 11, 2, -39.83?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/6 - 2*p**3\/3 + 2*p**2 - 11*p. Let s be w(1). Let j be ((-3)\/(-7))\/((-3)\/s). What is the closest to 1 in j, 3, 2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 2, s: 2, r: 1, e: 1}. What is prob of sequence ev?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2977.122 centuries in decades?\nAnswer: 29771.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 494 or 48?\nAnswer: 494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345130840 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3 + 1203690*f**2 + 72443480805*f = 0. Calculate f.\nAnswer: -120369, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/4 - (-3 - 4\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 12*s**2 + 10*s + 2. Suppose 47 + 18 = -5*j - 5*b, 0 = 4*j + 5*b + 54. What is the tens digit of p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + x**2 + 4*x - 4. Let v be i(3). What is the third derivative of -58*l**4 + 2*l**2 - 3*l + l - 40*l**3 - v*l**3 + 86*l**3 wrt l?\nAnswer: -1392*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4bb14 (base 12) in base 16?\nAnswer: 19480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**2\/9 + 28*i\/3 = 0 for i.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9601 is divided by 1224.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*f + 8 = -99*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1969\/520 + -21\/130. Let o = -36379\/22 + 1653. Calculate the common denominator of g and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 542\/(-8) - (-1)\/(-4). Let y = -7 - l. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -106\/7, -2, -2\/7, -0.3, 42, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40.6 and -18.5?\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 1. Let i be v(0). Let l = i + 3. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 9:56 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133874132?\nAnswer: 2, 7, 641, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -39995*l - 36590*l + 72708*l in the form y*l + g and give y.\nAnswer: -3877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2 - 4 - 5*i + 2. Suppose -5*g + g + 44 = 0. Calculate the remainder when a(-9) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 326, 495, 676, 875, 1098, 1351?\n\"Answer: n**3 + 162*n + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -16.899. What is w rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 131, 128, 125, 122, 119?\n\"Answer: -3*b + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*y - 18, 5*y + 34 = -101*m + 97*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z - 15 = 0. Let f = 68 - 46. Let i = -32058 - -32060. Solve -z*s + f = i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2136868 is divided by 4935?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16430 and 179490.\nAnswer: 9512970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**2 - 247*x + 126*x + 121*x. Let z be -4*2*(-2)\/8. Let m(g) = -4*g - 3*g**z + g + 3*g. Determine m(c(f)).\nAnswer: -108*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((-4 - -16) + -17)) + 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*188040669\nAnswer: -940203345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.6 times 18986?\nAnswer: 7472889.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*p = 0, 3 - 2 = p. Suppose -670 = -7*b + s*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2418, 0.2, 4, -1.003 in decreasing order.\nAnswer: 4, 0.2, -1.003, -2418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 1. Let k(d) = -d**3 + 4*d**2 - 3*d + 2. Suppose t + 5*f - 4 = -1, -3*f = 3*t - 9. Let h be k(t). Suppose 3*a + 4 + h = 0. Give l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 288*z - 13553. Determine g(47).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 21. Let m = o + 27. Is (1\/3)\/(1\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -674 + 1475 - 768 - 8*n. Give k(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -30. Let x be ((-80)\/d)\/(2\/6). Put x, 1, -3 in descending order.\nAnswer: 1, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/13 - 66*b**2 - 1722*b\/13 - 862\/13 = 0.\nAnswer: -1, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 20*f + 366. What are the prime factors of f?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31132506 (base 9) to base 4.\nAnswer: -321010210311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(9)*-4)\/(-4*(sqrt(3) - (sqrt(3) + sqrt(3)*-1))) - (sqrt(252)\/(sqrt(175) - sqrt(7)))\/((sqrt(108) - 2*sqrt(108))\/sqrt(9)))**2.\nAnswer: 147\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136352 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59\/5 - -1011\/95. Find the common denominator of f and -109\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.85, 16, 0.5 in descending order.\nAnswer: 16, 0.5, -1.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 75*w**2 - 18*w - 78*w**2 + 2 - 19*w. Let s(p) = -3*p. Calculate a(s(t)).\nAnswer: -27*t**2 + 111*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -334 + 257. Calculate the remainder when 127 is divided by 9\/(4 - b\/(-21)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 472*z**4 + 55*z**3 + 147236.\nAnswer: 1888*z**3 + 165*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(((j\/((((j**(-19)\/j)\/j)\/j)\/j))\/j)\/j))\/j)\/j**(15\/7))**(-1\/2))**(-33) assuming j is positive.\nAnswer: j**(-5577\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4\/5 + 84*i**3 - 24426*i**2\/5 + 49896*i - 705672\/5 = 0?\nAnswer: 6, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2 = 0, 0*y - 9*y - 5 = c - 77 - 2 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 + p - 7*p + 0 - 6 + 3 in the form w*p**4 + t + c*p**2 + h*p**3 + x*p and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.6, 0, 0.3, -30\/11, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9.02. Sort w, -0.4, 4 in increasing order.\nAnswer: -0.4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 5*p**2)*(-3*p + 3*p + 2*p) + (3 - 5 + 3)*(-16*p**3 + 9*p**3 + 5*p**3).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2644*l**2 - 2190*l + 10 wrt l.\nAnswer: 5288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 25 = -3*n. Suppose -95 = -5*z + 50. Suppose 3*v + 2*q = z, -2*v - 2*q = -17 - n. Calculate the least common multiple of v and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzkcmfh. What is prob of sequence zc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.013 to 0 decimal places.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1199.9770637 to the nearest integer.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -631, 1175, 2967, 4739, 6485, 8199, 9875?\n\"Answer: -d**3 - d**2 + 1816*d - 2445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 5*m**8\/336 + m**6\/45 - 25*m**3\/3 + 3. Let j(z) be the third derivative of w(z). What is the third derivative of j(t) wrt t?\nAnswer: 600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -49. Factor 1\/4*b**3 + 0*b**w - 1\/4*b + 0.\nAnswer: b*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 96719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, 103, 508, 1363, 2818, 5023?\n\"Answer: 25*j**3 - 70*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 535 + -505. What is the remainder when b is divided by 6 - (2 + 0 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11282264.\nAnswer: 2, 7, 31, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -l + 15, -2209*b + 2197*b - 145 = -5*l for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 1212.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -5, -0.062, 31, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 2, l: 1, g: 1}. What is prob of sequence lh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075775581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 868235.713 to the nearest 1000.\nAnswer: 868000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-7*p + 3*p + 3*p) + 1 - p - 1 + 0*p + 0*p + 3*p + (0 + 0 - p)*(4 - 4 + 2) + 2*p + 4 - 4.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (1 + 11 + -247 + 257).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**2 - 4*z**2 + 6*z**2)*(4 - 7 + 1)*(4*z - 4*z - 2*z**2) to the form b*z + i*z**3 + n*z**2 + h*z**4 + d and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11784, 11792, 11814, 11856, 11924?\nAnswer: 12024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**2 - 2*u - 4*u**2 - 9*u**2 - u**2 to s*u**2 + t*u + v and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + -1 + sqrt(176) + 0 - sqrt(176).\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o + 1650 = -35*o. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**4*c + 7*b**2*c**3 - 2*c**3 - 16 wrt b.\nAnswer: 8*b**3*c + 14*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/7, -2, 28, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (5 - (-3 + 12 + -6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let n(l) = -647181653*l**2. What is n(t(d))?\nAnswer: -2588726612*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -27*u. Let w(v) = -22*v. Let a(f) = 4*l(f) - 5*w(f). Let m(o) = o**2 - 215. What is m(a(d))?\nAnswer: 4*d**2 - 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3 - 5 + 5 + h**2 - 1 + 4*h. Does 8 divide j(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -90. Let r = 29.1 - v. Which is bigger: -1.4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b - 4*b + 5*b)*(-4*b + 2*b**3 + 4*b) + (-15 + 15 + 6*b**3)*(-1 - 1 + 3)*(4*b - 3*b + 2*b) to o*b**3 + y*b**2 + w + f*b**4 + q*b and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.13, 1\/5, -7.3, -1\/11, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/14 + -1 + 148\/28. Suppose 2 - 17 = l*v. Let r = 68 + v. List the prime factors of r.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 - (-21865)\/(-235)) + 46?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + i + 8 = 26, -4*j - 5*i = 6. Let h = j - -4. Let z be (h - 2*-9) + -2. Solve -2*u - 3*r = -0*u + z, -r = u + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 156?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.1734t in milligrams?\nAnswer: 56173400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*d = 2702 - 362 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/9 - (-9 - -1). Solve -q - 1 = y + v, -y + 5*v + 17 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 3. Let n be l(-3). Solve n = 3*t + 2*d + 12, 3*t = -4*d - 17 + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*t**2 - 7*t**4 - 79*t**2)*(-5*t - 2 + 3*t + 3*t) - t**5 - 2*t**5 + 4*t**5.\nAnswer: -6*t**5 + 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 2322320333?\nAnswer: 2322320212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 3, b: 2, w: 2, y: 4, r: 1}. What is prob of picking 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l - 1. Let u be x(-3). Let p be ((-12)\/u)\/(14\/(-35)). What is the second smallest value in p, 1\/2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {a: 2, h: 1, q: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - y = 26757, -2*y - 15757 = 4*w + 5645. Let i = w - -171245\/32. Let b = i - -3\/32. Which is greater: b or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 10*d + 38, 4342 - 4402 = 4*d + 6*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5778580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 17*h + 14*h + 366 = 0, 2*h = 5*a - 381. What is the greatest common factor of a and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6139603 from -9902.884.\nAnswer: -6149505.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 17. Let p(w) = 9*w**2 + 10*w. Let v(n) = 10*n**2 + 11*n. Let b(y) = i*p(y) - 4*v(y). Find the second derivative of b(m) wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 104. Let p = 65395319344 + -1036254229540651\/15846. Let n = -2\/7923 - p. What is the common denominator of y and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x. Let w(z) = -17*z - 553. Determine j(w(h)).\nAnswer: 153*h + 4977","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2307, -4, 6 in descending order.\nAnswer: 2307, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 z, and 1 n when four letters picked without replacement from {n: 2, k: 7, q: 7, z: 3}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -32406*a**3 - 8*a**2 - 2*a - 4. Let v be t(6). What is v rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**3\/3 - y + 20. Let d(u) = -5*u**2 - 3*u - 6. Let l(s) = -d(s) + 6*t(s). Factor l(k).\nAnswer: -k*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/(s\/s**(1\/7)))\/(s**(-8)*s*s*s*s\/((s\/(s\/(s*s**6)*s))\/s)*s) assuming s is positive.\nAnswer: s**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 100828189163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(24\/20))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 8. Let d(m) = -m - 5. Let z = -344 + 349. Determine z*s(v) + 8*d(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/30 and -67\/3530.\nAnswer: 10590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 11*u**2 + 60*u - 17. Let b(y) = -7*y**2 - 40*y + 11. Let w(p) = -8*b(p) - 5*n(p). Let z be w(-20). Let q(c) = -63*c**3 + 7*c + 9. Is q(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -68*p - p**2 + 68*p. Let l(k) be the first derivative of -k**2 + 2. What is z(l(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2377*t**4 - 30076*t**3 - 763107410*t wrt t?\nAnswer: -28524*t**2 - 180456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2574 + -1236?\nAnswer: 133d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + (7 - (1 + 5))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1122704, -1122702, -1122700, -1122698, -1122696?\n\"Answer: 2*x - 1122706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/(-2)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -28*l**2 - 12*l + 97. Let x(c) = 21*c**2 + 9*c - 71. Let m(j) = -11*i(j) - 15*x(j). Determine m(-3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 399484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1 - -7) + -2. Calculate the highest common divisor of z and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/195244 and -101\/5872?\nAnswer: 780976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -23*l. Let n(d) = 570*d**2 + 266*d. Let q(g) = -13*g**2 - 6*g. Let o(f) = 3*n(f) + 133*q(f). Give o(w(v)).\nAnswer: -10051*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299123583 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-98))\/(15\/(-40)). Let q = m - 253\/98. Sort 0.3, -4, q in decreasing order.\nAnswer: 0.3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 1. Suppose 5*v - 4 = 1. Let y(t) = -t**3 - 3*t**2 + t - 6. Let w(d) = v*y(d) + b(d). What are the prime factors of w(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 72 - 72 = 0. Let k(r) be the third derivative of 1\/210*r**5 + 0*r**3 + y*r + 1\/84*r**4 + 0 - 3*r**2. Suppose k(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 23 - 2 = 0. Suppose -m*b - 19 + 4 = 0. Let n = 5 + b. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52)\/13 - 82\/(-21). Is -1 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/5)\/(2\/(-8)). Let s(k) = -k + 1. Let u be s(l). Solve 4*a = 5*x + 1 - 6, -2*x + a + u = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 423 and 77.57.\nAnswer: 32812.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371109963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 8*k**2 + 8*k - 5. Let q be u(7). Let z be q\/(-6) + (-6)\/(-18). Suppose 6*f + m - 231 = 2*f, z = 2*m - 6. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 39715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) - ((1*sqrt(187) - sqrt(187)) + sqrt(187)))*-5)\/sqrt(11).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46\/3 - -4\/3. Let v = r + -52\/3. What is the third biggest value in v, 3, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Suppose -m + 24 = -3*t + 33, 3*t - 9 = 0. Let g(h) be the second derivative of m*h**2 - 1\/2*h**3 + 12*h + 0. Calculate q(g(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -201, -262, -327, -396, -469, -546?\n\"Answer: -2*j**2 - 55*j - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26, -70, -324, -814, -1618, -2814, -4480, -6694?\n\"Answer: -13*s**3 - s**2 - 2*s + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65 + -6?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.851 + 2.051. Let r = -2\/191 - -392\/955. Which is the second smallest value? (a) s (b) -1\/2 (c) r (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 5:22 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98 - -104) + (-1 - -10) - 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8369647734 take away -4?\nAnswer: -5.8369647734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -9.6. What is the third biggest value in 1, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 18 = q. Suppose -43 = -3*x + q. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 119717, 239434, 359151, 478868?\n\"Answer: 119717*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*w + 4*v, -v - 8 = 3*w - 26. Let m(f) = -5*f + 46*f + 6 - w. Let p(z) = -2*z**2. What is m(p(r))?\nAnswer: -82*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 + -125.5. What is the biggest value in 0, -0.4, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-5\/2)*w)\/(w**(-3\/10)*w*w))**(-44)*((w*w*w*w**3)\/w*(w*w\/w**3)\/w)\/(w**0)**(-7) assuming w is positive.\nAnswer: w**(499\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/16 + 2225\/(-20). Let o = b - -116. Let t(z) = z**2 + z + 2. Let m be t(0). What is the highest common divisor of o and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - g**2 + 8*g**2 + 5*g**2.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(((l**(-1)*l)\/l)\/l*l))*l)\/(l*l*(l\/(l*l*l*l**(-4)))\/l))\/(l**(1\/5)\/((l\/l**(3\/7))\/l)) assuming l is positive.\nAnswer: l**(-127\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25777.\nAnswer: 149, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeejeejju. Give prob of picking 1 u, 1 j, and 1 e.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29000, 29064, 29150, 29258, 29388, 29540, 29714?\n\"Answer: 11*z**2 + 31*z + 28958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -92\/357 (c) 68 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = -521*a + 471*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-640)\/(-50))\/(-16))\/(2\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = i + 3. Suppose 4*n - 6*n = -i. Solve -3*x + 2*l + n = 0, 4*x + 21 = -4*l + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**5\/20 + k**4\/4 - k**3\/6 + 3*k**2 + 279*k - 3. Let x(a) = -2*a**3 + 4*a**2 - 2*a + 5. Determine 4*b(v) - 3*x(v).\nAnswer: 2*v**3 + 2*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1789 + -79. Is z a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 h, and 1 l when four letters picked without replacement from {h: 2, l: 7, r: 8, m: 1}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4837?\nAnswer: 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 4)*18\/(-27). Let p be 2\/4 + 31\/j. Calculate the common denominator of 24\/(-54)*58\/p and 109\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, 0.4, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n = -l + 180, 3*l - 50 = -n. Calculate the highest common factor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 336 - 132. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87290342 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.9 + -2.9. Which is the third biggest value? (a) 0.5 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(2*x - 2*x + x) + 2*x + x + 3*x - 12*x - 59*x - 30*x + 17*x.\nAnswer: -79*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-108*b + 88*b - 568*b) + (0 + 0 + 2*b)*(5 + 1 - 4).\nAnswer: 1180*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 2*u**3 - 73*u**2 - 1 + 4 + 74*u**2 - 5*u - 12*u**4 as j*u + a + o*u**4 + p*u**2 + f*u**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 380761 (base 12) to base 16\nAnswer: df039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o**3 + 24*o**3 - 82*o**3 + 21*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 1 - 1 + 2*t - t + 2*t + (2 - t - 2)*(30 - 2 - 1) + (3*t - 3*t + 3*t)*(-1 - 3 + 5)*(2 - 2 - 1) to i + o*t and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004350715 rounded to five decimal places?\nAnswer: 0.00435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*j - 10 = 0, 20 = -h + 4*h - 4*j. Let d be 0\/2 - -1 - 2. Sort d, -4, h in increasing order.\nAnswer: -4, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1017 and 2499447?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 4*s - 3. Let y be r(3). Let h(o) = 4*o - 301. Let j(t) = -t + 154. Let c(g) = h(g) + 2*j(g). Determine c(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (45 - -1) + 2 + -1. Let t be (12\/(-4) - f)*-19. Suppose t = -2*l + 7*l. What is l rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -54. Suppose -9 = -g*q + 3. Solve -3*w - 6 = 4*t - t, -6 = q*w - t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4659284286?\nAnswer: 2, 3, 258849127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 68\/5 + 13\/(455\/14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809832853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1567905, 1567907, 1567909, 1567911, 1567913, 1567915?\n\"Answer: 2*j + 1567903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 5*o + 22. Let n be (7 - 1)*(-4 + (0 - -3)). Let u be k(n). Calculate the greatest common factor of 80 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000522529215 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9 + 6 = 0, -4*c = -4*h. Solve c*b + 1 = -2*t, 0 = -t - 0*t - 4*b - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5966446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 131283 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, -29, 5, -45, -5.\nAnswer: -45, -29, -13, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/4 + 123*t**2\/2 - 330*t - 912.\nAnswer: -3*(t - 76)*(t - 8)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -12609*v**3 - 33732*v**2 - 22704*v - 192 = 0?\nAnswer: -4\/3, -4\/467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**3 - 7*k**3 + 2*k**4 - k**4 + (6 - 5 + 11)*(-k**4 - k**4 + 4*k**4) in the form w*k + x + q*k**2 + s*k**4 + m*k**3 and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0, -2\/54109, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*b + b + 4*a, -a - 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -4145, -0.1, 6\/11, 1\/6, -3, 19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5803 = 3*p, 3*p - 4*z = 8*p - 9675. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1259 + -1163. What is the greatest common divisor of b and 10944?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 1120032270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 619*n + 51*n**2 - 619*n - 4*n + 4*n + 2*n**2 + (-2*n + n + 2*n)*(-3*n + 4*n + 0*n) in the form x + c*n + w*n**2 and give w.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004.02112347 + -1.3?\nAnswer: -1005.32112347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -106.7 and 3618.37?\nAnswer: 3725.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9227939, 18455876, 27683813, 36911750, 46139687, 55367624?\nAnswer: 64595561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 15*j + 197. Calculate the remainder when n(-21) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 104*b + 11 + 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3510927 to the power of 1\/2, to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/4 + 4379*d**3\/2 - 17209837*d**2\/4 - 2152063929*d - 241524085401 = 0.\nAnswer: -214, 4593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:08 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:30 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/28)\/(-9)*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5495*o**3 + 18*o**2 - 86*o + 12. Let b(x) = 5*x**2 + 3. Let f(y) = -3*b(y) + z(y). Find the third derivative of f(s) wrt s.\nAnswer: -32970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from fkfontfqnoqo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 518495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(0 + 2*v + 0) + (-3 + 52 - 9)*(-2*v - 4 + 4) to t*v + m and give t.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1383 by -8.\nAnswer: -1383\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/26 - 29\/((-3770)\/240). Solve -4*f + 5*j + 2 = -15, -f - 5*j = c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 287, -0.3, 5, 1 in decreasing order.\nAnswer: 287, 5, 2, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 1. Let y(l) = 4*l + 2. Let s(o) = 7*a(o) + 2*y(o). Suppose -2*k = 3*k. Suppose k*r = -r. Give s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1490*s - 540995. Determine u(-363).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + 9*f - 9. Let w be 2\/6 + 7\/(-3). Let r(j) = j**2 + 8*j. Let b(h) = h**2 + 9*h + 1. Let k(i) = -4*b(i) + 5*r(i). Give w*m(z) + 5*k(z).\nAnswer: -z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 16 - 11 - 11 - 5*j**3 - 6*j - 3*j**2 to l*j**3 + t + k*j + y*j**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*c - 6*c - 811 = 0, 3*c + 2029 = 5*z. Let j = 404 - z. Put -5, 2\/5, 2\/7, j in ascending order.\nAnswer: -5, j, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 + 19*b**2 + 275*b - 1689. Determine u(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-42) + 2\/4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 2378 + 527 + n**3 + 1937.\nAnswer: 4*n**3 + 4842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50680076 is divided by 243.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/121604 greater than or equal to -319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12439de (base 15) to base 16.\nAnswer: -c8428a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2696 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c + -c6b?\nAnswer: -102a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2. Let u(t) = -1007*t - 1. Calculate w(u(o)).\nAnswer: -2028098*o**2 - 4028*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 = q + 2*z, 2*z + 7 = -3*q. Let t(l) be the second derivative of 0*l**2 + 0 + l + 0*l**3 + 1\/3*l**4. What is t(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -26. Let i = p - -8. Let d be 20\/110 - 0\/2. Which is the closest to i? (a) d (b) -8 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 5:54 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5) + (-18)\/(-10). What is the third derivative of -16*q**6 + 0*q**2 + 16*q**6 + 16*q**6 - a*q**2 wrt q?\nAnswer: 1920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 854398463?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2041 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**4 + 4*f**3 + 267*f**2 - 12618*f?\nAnswer: 36*f**2 + 24*f + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r\/(r\/(r*r*r\/(r**(-3\/10)*r))*r))\/r)*r))\/r**42*(r*r**(-48)*r)\/r**35 assuming r is positive.\nAnswer: r**(-1237\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4\/8 + 3126*n**3 + 3712254*n**2 + 1196820144*n = 0. Calculate n.\nAnswer: -6984, -676, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 614323 - -4?\nAnswer: 614330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -0.4163.\nAnswer: -0.33304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 489 - 270. Suppose -h = -y - 80. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 15. Let y(j) = -10*j - 6. Let d(l) = 5*l + 3. Let h(s) = b*d(s) + 3*y(s). Find the first derivative of h(r) wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39383922 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**4\/12 - 2*j**3\/3 + 2*j**2. Let s = -2 - 1. What are the prime factors of v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 1045*n + 85159. What is y(130)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/9 and -31\/368882769?\nAnswer: 1106648307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*v - 10 = 8, 0 = 4*v + 16. Solve 0 = -3*r - u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/14)\/2)\/(20\/140)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 5 + 13 + 23*r - 24*r)*(2*r**2 + r**2 + r**2).\nAnswer: 8*r**5 - 4*r**3 + 32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jha when three letters picked without replacement from {a: 6, h: 4, j: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 5. Let j(a) = -5*a**2 + a**2 + 5*a**2 + a**2. What is j(b(h))?\nAnswer: 2*h**2 + 20*h + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.215353 micrometers in millimeters?\nAnswer: 0.008215353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11774 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 93, 96 in decreasing order.\nAnswer: 96, 93, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3535 + -3535. Solve n*m = -6*m - 14*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.16*0.9\nAnswer: 9.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - r + 21, -5*h + 16*r - 14*r = -46 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 1, h: 2, j: 2, g: 1, e: 1}. Give prob of picking 1 x and 1 h.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzq when three letters picked without replacement from szbzzbknbzqbbsqsqq.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.8458 - -0.1542. What is the nearest to -1\/7 in x, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**3 + 2*g**2 - 2*g - 3. Let b be o(-2). Suppose -1 = -2*i + 2*z - 23, -3*i - 5*z = b. What is the remainder when 8\/6*(-306)\/i is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821.7671g in milligrams?\nAnswer: 821767.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.11244 and -5?\nAnswer: 5.11244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + ((5 + sqrt(72) - sqrt(72)) + 2 + sqrt(72))**2.\nAnswer: 121 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4592\/3 - -1530. Which is the nearest to 2\/3? (a) 18 (b) -0.01 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13791509 is divided by 3138.\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -23. Suppose 0 = v*d - m - 64, -2*m + 2 = 10. Let t(z) = d - 30 + 2*z**2 - 3*z**2. Let a(l) = -l. What is t(a(s))?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1f425d (base 16) to base 9\nAnswer: 3762137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyyy when four letters picked without replacement from {d: 1, y: 5, u: 1, q: 2, a: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -13 - 3*w + 14*w + 13*w**2 - 2. Let l(c) = 4*c + 7*c**2 - 39 + 31 + 2*c. Determine -6*f(q) + 11*l(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 5)*2 + -1)**2.\nAnswer: 36*sqrt(19) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {q: 8, e: 5, f: 7}?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260323124 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008939?\nAnswer: 3, 29, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25779 + 163*s + 51553 - 25774 to l + w*s and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -1 - (14 - 34). Suppose c*k - 22529 = 32111. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)\/u)**(-3\/8))**(-34)\/(u\/(u\/((u\/(u*u*u*(u\/u**(-7\/3))\/u*u))\/u))*u*u*u**(-6)*u**5*u*u**5\/u*u) assuming u is positive.\nAnswer: u**(-155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -84 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 5 (c) 0.6 (d) 2 (e) 21\/2 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58ac5 - -2394?\nAnswer: -56731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 7*p**2 + 2*p - 4. Let v be s(7). What is the tens digit of v\/(-45) - (-382)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/(-3))\/((-8)\/1632)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - (18 + -12 + -32))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-189) + (0 + 3)\/(-9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**2*c**3 - 33*b**2 + 2254*b*c**3 - 3*b*c**2 - 3*c**3 + 11*c**2 wrt c.\nAnswer: -42*b**2 + 13524*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 - 30 = 0. Let t be q\/4 + 1\/(-2). What is the units digit of ((-18)\/15)\/(t\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1129753 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/13))**(-32\/7)\/((q\/(q\/((q*q\/q**(1\/5))\/q))*q)\/((q**(-4\/13)*q)\/q)) assuming q is positive.\nAnswer: q**(-639\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 1\/12*m**4 + 3*m + 1\/6*m**3 + 1\/2*m**2 + 0. What is t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8958962?\nAnswer: 2, 4479481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 10*h + 9. Let x be z(-11). Let n be (-1 - -174) + 8\/x. Suppose d - n = -42. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 103. Solve -3*n = p - u*n - 1, p - 3*n = 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p + 12. Suppose 7 = -6*t + p. Suppose -5*h = -2*l - 14, 0 = -4*l + l + t*h + 1. Calculate the remainder when 16 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -39, -56?\n\"Answer: -17*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 360\/95179 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(10\/(-30)*9\/16). Let p be (-24)\/(-35) + (l\/28 - -2). Is -57 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from yim.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/30 + 26\/260?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -4 - (-9 + (12 - 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13496 and 36?\nAnswer: 121464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -6*d + 23, 0 = 4*s - 2*d - 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 - 89. Calculate the lowest common multiple of 8\/40 - (-358)\/10 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*o = o + 92, -5*m - 5*o = -435. Let t be m\/(-7) + (-4)\/14. Calculate the remainder when (1*6)\/(t\/(-66)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 10. Let v be a(12). Suppose v = -3*g + 124. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71366 - -106903. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3263 (base 11) in base 7?\nAnswer: -15356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 1971 = 135*m - 2197, 0 = 2*m - n - 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:26 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (0 - -1))*0*(-41)\/(-1271). Sort 4, -156, 5, j, 2.\nAnswer: -156, j, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 = -4*a, -1 = -5*i + 9. Suppose -f + 3*f + 116 = 3*g, -g - a*f + 52 = 0. What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 30*w**2 + 80*w + 57. Calculate the smallest common multiple of 27 and g(18).\nAnswer: 30969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 2*l**2 + 6*l + 15. Let n be r(-3). Which is the biggest value? (a) 2\/13 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 - 1038*n + 1679728\/5.\nAnswer: 2*(n - 2216)*(n - 379)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 1. Let c(d) = -4*d + 3. Let t(x) = -x**2 - 14*x - 2. Let u be t(-13). Let r = -12 + u. Determine r*c(i) + 3*z(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - h - 1. Let y be -11 - (0\/3 - 3). Let w = y - -2. Let k(l) = -10*l**2 - 6*l + 1. Let c(x) = w*r(x) + k(x). Differentiate c(t) wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k**4 - 4*k + 4*k)*(3*k - 2 + 2).\nAnswer: -33*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(6514515\/(-27))\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6*g - 4835 = 3*g, -3*g + 19367 = 4*s. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -813\/3700 - 28\/925. Let i = 0.1 + 0. What is the third biggest value in 2, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -10*o**5\/9 + 166*o**4\/9 - 58*o**3\/9 - 614*o**2\/9 + 68*o\/9 + 448\/9 = 0.\nAnswer: -7\/5, -1, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4 - 17*b + 23*b + 1 + 8*b. Let r(y) = -y**2. What is i(r(g))?\nAnswer: -14*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - g = 7, 3*s - 8*s - 2*g + 25 = 0. Let z be 0 + s\/(-5) + 1. Let b = 70 + -65. Which is bigger: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.0971 days in hours?\nAnswer: 5330.3304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 8:17 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 132*z. Let o(b) = 26 - 26 + 2106*b - 2150*b. Give -17*o(h) - 6*x(h).\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204497*d**2*j + 12*d**2 + 9540423*d - 3*j wrt d.\nAnswer: -408994*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 54 - 44*g + 103 - 9 - 61*g. What is the thousands digit of y(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a + 15 = 0. Suppose 5*z = -q + 16, 0 + 3 = a*z. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 50?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 2*m - 2*p + 6, 0 = m + 4*p - 9. Let y be (m + 27)\/(1 - -1). Let l = y + -14. Solve z + l = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(2016\/80))\/((-42)\/(-245)*5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35140546349527 + 1.4?\nAnswer: -35140546349525.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 16 - 127*m**2 - 1.\nAnswer: -127*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 847*i**2\/4 + 157791*i\/4 - 9391023\/4.\nAnswer: (i - 47)*(i + 447)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 16*d. Let k be l(5). Let b be (45\/2)\/(117\/312). Suppose 178*q - b = 172*q. Calculate the greatest common factor of k and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -10.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2075384*v. Let t(b) = b. What is u(t(w))?\nAnswer: 2075384*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - -1) + (-6 - (1 - 15))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58127608.\nAnswer: 2, 7, 11, 197, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 109*k**6\/3 - 2*k**3\/3 - 46*k - 62. What is the third derivative of q(d) wrt d?\nAnswer: 13080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrjk when four letters picked without replacement from kkekrkkerjkkrrjkkke?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14438990 and 0.0615.\nAnswer: -14438989.9385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 - 2*u**2 + 2. Let t(j) = j**2 + 6*j - 9. Let a be t(-7). List the prime factors of q(a).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.068 * 0.2\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3*-2*(-1 + 10). Suppose -u - w = -4*w + 4, w - a = -2*u. Solve -3 = u*s + s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4444\/12 - (-7 - (-96)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u + 245. Let l be v(16). Solve 2*n - 5*i - 12 = 0, -n - 2*n - 4*i = l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -246460?\nAnswer: 246454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 155\/55 - 2\/(-11). Let t be 86\/y*129\/(-18). Let q = t - -206. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10576 and 30021298.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5694*g + 3*l + 6 = -5695*g + 2, -2*g + 7 = l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -13 + (-22 - -12) + (6 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 3*b - 6*b)*(1 + 3*b**2 - 1) + (-3*b + 2*b + 2*b)*(4*b**2 - b**2 - 4*b**2) as m*b**3 + n*b + a + s*b**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 42 = 5*s. Suppose -s*a + 6*a = -26. What is the remainder when 55 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*z = 91*z + 20, 0 = p + 4*z + 16. Let o = 1194 + -56116\/47. Is o greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 26*b - 2. What are the prime factors of l(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/16*48\/36?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v + 0*v - 5*v - 5 - 96*v - 22209 + 22209 + (2*v - 3*v - v)*(3 - 3 - 1).\nAnswer: -93*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -509, -3, -2 in decreasing order.\nAnswer: -2, -3, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 754389?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + 1. Let x(k) = 6*k**3 + k**2 - 2*k. Let w be x(0). Let y(i) = -i - 2. Let o be y(-4). Which is the nearest to 1.8? (a) w (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/41700 and 13\/11120.\nAnswer: 166800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 7*i + 4. Let s be y(7). Suppose -4*h - 124 = -s*m, -m + 5*h = 2*m - 99. Let x = 199 - m. What is the greatest common factor of x and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h. Let v be z(6). Let s be (v\/50)\/((-1)\/(-5)). Suppose s*a = -8*a + 1036. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 10 = 0, 105*m - 101*m + 8 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-650)\/20 - -37) + (-78187)\/(-2)?\nAnswer: 2, 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4999\/19 - -263. Let a = 1 + -2. Suppose -6*o - 3*o - 45 = 0. What is the nearest to a in 1, o, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/28 at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - ((2 - 41) + 0) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 687 - -38?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85255 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2377, -2380, -2385, -2392, -2401, -2412, -2425?\nAnswer: -2440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 39*n**6\/2 + 271*n**3\/6 - 4*n - 44. Find the second derivative of a(k) wrt k.\nAnswer: 7020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/18 and -23\/31707?\nAnswer: 63414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -96*f - 46*f - 236 - 2*f**2 - 2*f**2 - 98*f = 0.\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, -1, 1, -392 in ascending order.\nAnswer: -392, -231, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 8*s - 7. Let j be o(7). Suppose -4*r = 3*t - 8, j = -5*r + r - 16. Let x(u) = u**2 - 7*u + 6. What are the prime factors of x(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (159\/(-2*(-30)\/(-20)))\/(-1)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78483520 take away -0.03?\nAnswer: -78483519.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 + 3*w - 5. Let r be g(-8). Let z = 251 - r. Let h(y) = 2*y - 5*y + 82 - z. Determine h(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 5*u = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 52. Let h(l) = 4 + 12 - 245*l**f - 5*l - 2*l + 251*l**2. Is h(4) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 3 + 28 + 2. Let d = s + -20. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(7\/(7\/(-3))). Suppose y + 7 - 10 = u. Factor 5\/2*l**y - 1\/2*l**4 + 4 - 2*l - 3*l**2.\nAnswer: -(l - 2)**3*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 4*z - 5. Let q(n) = 1 - 4*n + 4*n - n. Let m be 1 - (-39)\/(-45) - (-112)\/60. Give m*o(v) + 10*q(v).\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -6.8?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175)\/50*(120\/(-84) + 1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -64*n**3\/3 + 31*n**2\/2 - 56. What is the second derivative of b(r) wrt r?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14004 + 11?\nAnswer: 14020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4)\/((-23)\/(-2) - 33\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6135016 (base 8) to base 10\nAnswer: -1620494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 86. Calculate x(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.0122, -0.6 in ascending order.\nAnswer: -0.6, -1\/3, 0.0122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/56*(35\/6)\/(-5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (3 - 0) - (-80)\/(-15).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 88, 0.2, -2\/9, -1, 21788, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -6 (b) -3 (c) 12\/5 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**5\/50 + 68*a**4\/15 - 4757*a**3\/15 + 8978*a**2\/5 + 2*a + 320. Factor c(q).\nAnswer: -2*(q - 67)**2*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 174\/(-5)*(-275)\/110?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -38. Let u be f + 0 + 44\/(-11). What is u rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 + 124. Differentiate -358*m + 364*m - 5*m**n - 29 - 43 wrt m.\nAnswer: -10*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*c**3 + 21*c - 21*c.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(2*3\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36469 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 3*n + 2*n)*(-2 + 3 - 3) + 3148*n - 8062*n - 5125*n to the form u + z*n and give z.\nAnswer: -10043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -583\/335 - -18589\/10720. Let o = 2 - 2. Which is greater: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 28483.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -53.939 and -3416062.\nAnswer: -3416115.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 22 = -38*x + 34*x, 0 = -4*h + 4. Solve 0 = -5*c, -2*w + 2 = -x*c + 7*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3*2)\/(4\/2). Suppose 2*w = -5*l + 18, -4*w = -d*w - 4. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764274977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-877021)\/(-248) + (-3)\/8?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:19 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2 + z + 2. Let t be n(-2). Suppose -20 - t = -4*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3139733912 to the nearest one million.\nAnswer: 3140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2088 and 52605768.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -272*m + 109. Let z(f) = -227*f + 109. Let v(n) = 5*h(n) - 6*z(n). Let j(w) = -11*w**2. What is j(v(l))?\nAnswer: -44*l**2 + 4796*l - 130691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*g + (-2 + 1 + 0)*(-2*g + 4*g - 3*g) - 3*g + 3*g + 2*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 1, p: 1, m: 1, o: 1}. Give prob of sequence kpu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-156))\/((-10)\/(-24))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 19*z**2 - 21*z - 25. Let p be g(-18). Suppose -c = 3*t - 5*t - 3, -4*t + p = 5*c. Solve 2*r + t = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -25*v + 530. Determine u(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8266359 and 12605?\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227 + 132. Let v = -5129 + 5039. Let n = v - f. Calculate the highest common divisor of n and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 75360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from qoonwqnwo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21600199 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/12 and 4.3536 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -b + 2*x, 4*b = 5*b + 5*x - 21. Suppose 5*r - 4*u - 100 = -10, -3*u + 59 = 2*r. What is the remainder when b is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12999671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - 4*x**2 + 4*x - 6. Let c(d) = -d**3 - 3*d**2 + 3*d - 5. Let w be -5 + (-2 - 1)\/(5\/(-15)). Calculate w*c(k) - 3*j(k).\nAnswer: 2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5232 + -5241. Sort y, 0.4, 5, -3, -15.\nAnswer: -15, y, -3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14273741 to the nearest integer?\nAnswer: 3778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 59*g - 588. Calculate the remainder when f(14) is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425240, -425406, -425572, -425738?\nAnswer: -425904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**6 + 234009*k**4 - 91*k**3 + 70968345*k**2 wrt k?\nAnswer: -240*k**3 + 5616216*k - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*d**3 - 6272904*b**2*d**2*k - 1352*b*d**3 - 24*b*d**2*k - 37*d**3*k wrt b?\nAnswer: -6*d**3 - 12545808*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -339*b**3 + 267*b**2 wrt b?\nAnswer: -2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-116841)\/(-29)))\/(2\/48*4)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -14*l**2 - l**2 - 13 + 13. Let o(g) = 2*g**2. Determine o(i(n)).\nAnswer: 450*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (-1 - 0)) + 11. Let s be (3200\/n)\/((-2)\/175). What is s rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1049*w + 10632. What is t(10)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 874, 7140, 24184, 57394, 112158, 193864, 307900, 459654?\n\"Answer: 898*g**3 + g**2 - 23*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -346*u**4 + 169*u**2 - 12*u**5 + 169*u**4 + 174*u**4 wrt u.\nAnswer: -720*u**2 - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1100)*-4 - -2*sqrt(1100)*-1) + -1 + 5.\nAnswer: 4 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5685352 is divided by 97?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 3017131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 15 = -g, 16*x - 3*g = 13*x + 24. What is the greatest common factor of x and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1924\/74074)\/(6\/22).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 11*v**2\/2 + 45*v - 1766. Give s(-11).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8 (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*v + 541 = 0, -185 - 368 = m + v. Let c = 863 + m. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1 + 494\/(-60). Let h = 37\/5 + i. Let u be -5*(62\/150 + (-12)\/36). Sort 0, h, u.\nAnswer: u, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -687 - -688. Which is smaller: z or 5\/31?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*b - 2*b + 3*b, -3*b = 3*j - 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/3))**(-25) assuming x is positive.\nAnswer: x**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*f**2 + 76 + 32509*f + 120 - 32299*f + 8*f**3.\nAnswer: 2*(f + 2)*(2*f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-3 - -2 - 2)) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 4199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/241974 and -139\/77539224.\nAnswer: 697853016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 16 + 2*i.\nAnswer: 2*i - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2)\/(6\/(-15 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 63*c + 159. Determine z(50).\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 2, z: 3, d: 1, e: 3, w: 3}. What is prob of picking 2 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 divided by -4?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -16. Suppose -8*v + 37 = -j. Let m(a) = a**2 - 5*a + 1. Let k be m(4). Put -5, v, k, 1 in descending order.\nAnswer: v, 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - (sqrt(19)*-2)**2) - (-4 + sqrt(19) + 0 + sqrt(19)).\nAnswer: -76 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -815824, -1631613, -2447404, -3263197, -4078992?\nAnswer: -4894789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 93\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 180*v + 0 - 1.\nAnswer: -180*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(4\/(-14)))\/(161\/17020*-37)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vseqcxx. What is prob of sequence sxc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y - 4 - 12*y - 9*y - y**2. What is s(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4632 by 3.\nAnswer: -1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and 73745.\nAnswer: 589960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**3 + 14*g**2 + 50*g - 36. Give a(5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 16*m**2 + 15 + (-m - 3 + 3)*(-1 + 4 - 1)*(-6*m + 134 - 134)*(2 + 0 - 1) as t + p*m**2 + s*m and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.1403.\nAnswer: 0.5612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 38 + 4*s**2)*(-2 + 2 - 2).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20264, -20266, -20268, -20270?\nAnswer: -20272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5236\/240)\/(-11) - (-11185)\/44740\nAnswer: -26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 27966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + p**4 + 0*p**3)*(20*p + 18*p + 8*p).\nAnswer: 46*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -7, -1\/5, -2\/3, 3, -2 in ascending order.\nAnswer: -7, -2, -2\/3, -1\/5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 1. Let m = -8 - -5. Let k be q(m). Let b(h) = 2*h**2 - 6*h + 2. Calculate the remainder when 19 is divided by b(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let c(m) be the third derivative of 3*m**5\/20 - 5*m**2. What is n(c(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 149691441297 and 4.\nAnswer: 149691441301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -208.986 + 210. Let b = 1.1 - y. Let o = b - 34.086. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -254979?\nAnswer: 254985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42 - 4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/35))**(3\/29)\/(b**(22\/7))**(-16) assuming b is positive.\nAnswer: b**(51151\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**3 + 0 + 0 - 2 - 16*j**3 in the form u*j**3 + r*j**2 + c*j + q and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(6\/(-40)))\/(((-5978)\/40992)\/(21\/(-32)))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*(-1744)\/1526?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 8*o + 6. Let t be b(-7). Let s = 6 + t. Solve w = s*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.24 + 0.06. Which is the closest to 0? (a) -1 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28590 - -40150. What are the prime factors of l?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*m**2 + 1439*f**2 - 806*f + 104*m**3 - 65844*m**2 + 3 wrt m?\nAnswer: 2*f**2*m + 312*m**2 - 131688*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -61, -59, -57?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -y - 2*x, -36735*y - x = -36739*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2108.9, 4 in ascending order.\nAnswer: -2108.9, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h - 6. What are the prime factors of k(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c = 4*h, 0 = -2*c + h. Let l be ((-19)\/38)\/(186\/(-36) + 5). Solve y - l*y + 2 = c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193 - 195. Let g be 1\/((-8)\/14) - t. Let k = -1283\/10 - -128. Which is the third biggest value? (a) g (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 9 = o, 3*f + 101*o + 41 = 105*o for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5134.\nAnswer: 2, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194504 and 5248?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1024 - 13*r**2 - 9*r**2 - 17*r**2 - 18*r**2 + 60*r**2 as s + q*r**2 + i*r and give s.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -6\/2753, 1, -5, -1\/29?\nAnswer: -6\/2753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -411\/25 or -17?\nAnswer: -411\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times 0.2469743?\nAnswer: -0.032106659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1281 and 365111.\nAnswer: 366392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*s - 2*s**2 - 3*s - 124*s as r*s**2 + y + f*s and give f.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10176872.0000009 - 10176866. Let q = -3.8 - -9.8. Let s = g - q. What is s rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*q**3 + 41*q**2 - 2*q wrt q.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16.09 times 3\nAnswer: 48.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5 + 2*c**2 + 10*c - 4*c**2 + 2*c**3 - 11*c to z + u*c**2 + a*c + h*c**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03329822 to 3 decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 9*l + l**2 - 12*l - 5 + 2*l**2 - 1 + 1 + (-11*l + 57 - 57)*(l - l + 2*l) to p*l**2 + h*l + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4 + 2. Let h be 1*-5 - 3*(-4)\/t. Which is smaller: 4\/51 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874.6994 tonnes to grams.\nAnswer: 874699400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 274 - -16?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(133)*-1 + (sqrt(133) - -2*sqrt(133)*-4))\/(((2*sqrt(308))\/sqrt(11) + sqrt(28))\/(-3*sqrt(16)\/sqrt(4))) + -4.\nAnswer: -4 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/32 and 89\/2120?\nAnswer: 8480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3858006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -4\/3*s**3 + 74 - 3*s**2 + 1\/4*s**4 - 5*s. Let x = 6 - 1. Calculate m(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5161, 10301, 15441, 20581, 25721?\nAnswer: 30861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Suppose -x = -2*x. Let d(y) = -3*y + x*y - 3*y. Determine d(j(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3*j + 75037, -v + 4*j + 18608 = 3596. Suppose 0 = -2*q - 4*y + 9992, 0 = -3*q + 5*y - y + v. Round q to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/53))\/q)\/q*q\/q**(-5\/3))**(-36)\/((q**(2\/5)\/q)**(-26\/7)*(q**(-1\/2)\/q)**(-13)) assuming q is positive.\nAnswer: q**(-308253\/3710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 12*x + 10*x + 16*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140247681 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**2)**(3\/10)*(z*z*z**(-1\/3))**(-25))**(-1\/3) assuming z is positive.\nAnswer: z**(1259\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -5\/2*a**2 + 0*a**3 + 0 - 107\/30*a**6 + 0*a**4 + 0*a**5 - 105*a. What is the derivative of n(g) wrt g?\nAnswer: -428*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r - 15. Let t be p(0). Let u be (-14)\/(-40) - 6\/t. Let g = -0.51 - -0.01. What is the third smallest value in g, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -323807, -647603, -971403, -1295207, -1619015, -1942827, -2266643?\n\"Answer: -2*d**2 - 323790*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17208943?\nAnswer: 59, 291677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (0 + 0 + 0). Let x be 2 + c - (-5)\/(-5). What is the greatest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p. Let n be -3 + 10 + 49\/(-5 - 2). Factor n*q - 1\/2*q**5 + 0 + 0*q**2 + p*q**4 + 0*q**3.\nAnswer: -q**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2116 - -3393. List the prime factors of l.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -64, 9, 3, 113\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 5:24 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 451.26168 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/446046 and -29\/371705.\nAnswer: 2230230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/24 and -67\/958.\nAnswer: 11496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327097.156 less than 591?\nAnswer: 1327688.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 7. Suppose -g = -z*g. Solve n + g*n = -4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 310. Let c = 19 + -7. What is the common denominator of 35 and 2 - s\/c - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/6*(27 - 9). Let z = i + 24. Solve 3*w**3 - 2*w**3 + 0 + z = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.1 or 14090?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 488527 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11516116 divided by 2251\nAnswer: 5116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1721013831 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r + o, o = 5*r - 14 - 7. Suppose r = 106*m - 105*m. What is the nearest to -2\/3 in m, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 4*d - 11. What is the least common multiple of i(-7) and 23?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -434144 - 244043?\nAnswer: -1233242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 10*f**2 + 116. Calculate k(-9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1224250572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 + 11*n. Let w(v) = 3*v**2 - 6*v. Let a(c) = -6*s(c) - 11*w(c). Let y(j) = -7 + 90*j + 5 - 88*j. Calculate y(a(k)).\nAnswer: -6*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.1 (b) -4 (c) 3\/8 (d) -3 (e) -256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -586*h**2*w - 3*h**2*z - 3*w*z + z wrt z?\nAnswer: -3*h**2 - 3*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155159 is divided by 1078.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10 + 106*s**2 - 5 + 7 + 67*s**2. Let y be b(-9). Find the common denominator of (-6)\/27 + (y\/378)\/(-5) and 111\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33 + (-12)\/(1 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 10*z**2 - 6*z - 13. Calculate the remainder when 41 is divided by x(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o + 6*o**2 - o + 2 + 13 with respect to o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 13. Let q = 3 - a. Let t = -1 + 1.5. What is the nearest to -2\/3 in q, t, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*w + 20, 11*i - 10 = 9*i - w. Determine a, given that -17*a**2 + i + 14*a + 9\/2*a**3 = 0.\nAnswer: -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80ab (base 16) in base 10?\nAnswer: 32939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 3680 = 12*a + 43*a. What is the highest common factor of 12480 and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -13. Let h = o - -13. Calculate the remainder when 53 is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -272, -18, 2\/11, 40?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 337 - 342. Let n(i) = 4*i**2 - i + 1. Let h(l) = 3 + l**2 + 5*l**2 - 3*l + 3*l**2. Determine s*n(y) + 2*h(y).\nAnswer: -2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 31*s = -28 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((-8)\/(-3) + -4). Suppose -i*z = -z + 18. Let w = 6 + z. Solve 2*q + 3*a + 5 = w, 3*q + 2*q + 2*a - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.8 and -683.\nAnswer: -675.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1307*l**2 - 95*l + 3915. Is x(32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + -78588122044.8.\nAnswer: -78588122044.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a + 1. Let x = 5 - 3. Suppose 37 = 5*h + 3*w, -2*h - x*w + 6 = -h. Let o be (-2)\/h + (-10)\/(-8). Determine v(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.78 - -5.32. Let l = -6 + t. Sort 7, 4, l in decreasing order.\nAnswer: 7, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c - 21. Let u be b(14). Let m be 2057996\/(-14) - ((-171)\/u + 3). Round m to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 10, -1, -4 in decreasing order.\nAnswer: 10, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 74. Suppose 4*v + y*s = 12*s - 59, v = 2*s - 16. Let j(o) = o**3 + 13*o**2 - 13*o + 14. Let r be j(v). Solve l + 3 = -r*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165*j**5 + 149*j**4 - 505*j**3 - 167867*j**2 - 21*j - 4 wrt j.\nAnswer: -9900*j**2 + 3576*j - 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r - 2*r)*(3 - 6 + 1)*(-3 - 1 + 2).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 152 + -154 + -12 + 1 + 0\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x + m + 76 = 48*x, 3*x - 92 = 5*m. Calculate the remainder when 30 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-10))\/((-1)\/12). Let a = l + 8. What is the second derivative of 3*d**3 - 3*d - 4*d + a*d wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2370, -4977, -7584, -10191, -12798, -15405?\n\"Answer: -2607*h + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 6. Determine g(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/4282924 and -97\/169190?\nAnswer: 149902340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + 5561364176?\nAnswer: 5561364241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w + 2. Determine v(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -1. Which is the closest to 1\/5? (a) 3 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -14*p**5 + 3*p + 7. Let a(q) = -13*q**5 + 2*q + 6. Let o(c) = 7*a(c) - 6*d(c). Find the second derivative of o(m) wrt m.\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -69493, -138993, -208519, -278083, -347697?\n\"Answer: -2*m**3 - m**2 - 69483*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1107699 divided by -18159?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 - 12*n**2 + 4*n**2 - 5*n**2 - n in the form l*n + a*n**4 + b*n**2 + y + x*n**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 92 - 87 - ((-30)\/(-8) + 1). Find j, given that -1\/4*j + 1\/4 - 1\/4*j**2 + g*j**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a8 + 4?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 516335599 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgxbbbpxb. What is prob of sequence gbxp?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 3. Let z be p(4). Let g be (-3)\/(3\/z) - 2. Suppose g*t - t = 12. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*f**3 + 3526*f**3 - 5271*f**3 - 12464*f**3.\nAnswer: -13949*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -35. Let t be (o - (-4)\/(-1))\/(16\/24). Let v be ((-2)\/t)\/(40\/24). Which is the closest to 14? (a) 5 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 12. Let c = p - -8.5. Let o = 1 + 0. What is the closest to -1 in c, -2\/5, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 1649862?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5906788, 3, 26, -5 in descending order.\nAnswer: 26, 3, -5, -5906788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 12*z = -924. What is the highest common divisor of z and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 - 14*l - 17*l + 79*l - 46*l.\nAnswer: 10*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/2, 0.3, 3, 0.1, -291\/52, -2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-25)\/n*n**(-10))\/((n*n\/n**(-14)*n)\/(n*(n*n*n*n*n**(5\/3)\/n*n*n)\/n)) assuming n is positive.\nAnswer: n**(-139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -137833*b. Let v(n) = 3*n + 48. Give v(r(m)).\nAnswer: -413499*m + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508066413?\nAnswer: 3, 661, 256211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Let t(f) = 82 - f - 83 - 3*f**2 + 4*f**2. Give t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:14 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((285\/(-12))\/(-19))\/(-10*(-9)\/(-54))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 4, i: 1, g: 1, h: 1, b: 4}. Give prob of picking 2 b.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -846 divided by 423?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-5))\/((-4)\/6). Let b(d) = d**2 - 6*d - 1. Calculate b(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 29*v**2 + 145*v + 9. Calculate c(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 3.2. Let g = -1\/19 - 35\/57. What is the third smallest value in g, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 11*h + 14. Is b(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.327*-0.0136.\nAnswer: -0.0044472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k + 180 = 0. Suppose -4*v + k + 4 = 0. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22ca15 + -78?\nAnswer: 22c96a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*p**3 - p - 1 + 234*p**3 + 1 - 126*p**3 to d*p**2 + s + l*p + u*p**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 373 - 114. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -4546.\nAnswer: -2273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 3\/4, -2, 4988, 2\/3, 0.3 in increasing order.\nAnswer: -2, -3\/5, 0.3, 2\/3, 3\/4, 4988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 8. Let d be s(-8). Let z = d + -6. What is the remainder when 5 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 + 17*g**2 + 16*g - 39. Give p(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p - 3 + p + 0*p. Let m = 802 - 795. What is the units digit of w(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -464, -722, -1000?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -4bbdd1?\nAnswer: -4bbdc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/84 - 11*o**3\/42 - 15*o**2\/7 + 217*o. Factor i(m).\nAnswer: -(m + 5)*(m + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 4*f = 0, -15*s - 3*f + 12*f = 4*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57467278*b**2 + 68127*b + 131 wrt b.\nAnswer: 114934556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3 + 39*g**2 + 187841*g + 29646857 wrt g?\nAnswer: 6*g**2 + 78*g + 187841","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -0.2, 6, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1011412330 (base 5) to base 3\nAnswer: 10212200020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/175)\/(1\/(-20))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1259259450 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 384309*q - 384284*q + 3550 for q.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = -1. Suppose -4*v = -n*v. Differentiate 2 - 6*x**2 + v*x**2 + 3*x**2 - 5 with respect to x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -737053, -737795, -738537, -739279?\n\"Answer: -742*z - 736311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - x**2 + 5*x + 4. Let j be t(-5). Let d = j + -37. Round d to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 106*f**3 - 2121*f**2 - 32*f + 124. Determine i(20).\nAnswer: -916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - sqrt(16)\/(sqrt(8) - (sqrt(8) - -1*sqrt(8))) - (sqrt(18) + 4).\nAnswer: -4 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 3, 2, 1.1, -2\/85 in increasing order.\nAnswer: -1\/5, -2\/85, 1.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -277*f**3\/2 - 1413*f**2 + 4388*f. Differentiate j(u) wrt u.\nAnswer: -831","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 3*b - 4*f, -2*f - 8 = b - 3*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (1 + -4)) + 1. Is -1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(20\/(-25) + 21\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12830 = 5*t, -3*t + 1586 = -5*p - 6112. List the prime factors of t.\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73913 by -25.\nAnswer: -73913\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 464, 534, 600, 662, 720, 774?\n\"Answer: -2*x**2 + 76*x + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**2 + 7034. Let r(k) = -268*k + 3. Give b(r(n)).\nAnswer: 536*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 33*b**3 + 27*b**2 + 357*b + 294.\nAnswer: 3*(b - 7)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 2*v + 80, -6*n - 141*v + 143*v + 124 = 0 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 23*u. Let g(m) = 46535*m - 93431*m + 46621*m. Determine 50*b(z) + 4*g(z).\nAnswer: 50*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363*a*l**3 + 2*a*l**2 + 33*a*l + 21*a - 1671*l**3 + l**2 - 3*l + 357 wrt l.\nAnswer: 2178*a*l + 4*a - 10026*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 593 - 222 = 0. Let n = u + -228. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, r: 3, t: 3, s: 2}. Give prob of picking 3 r.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6955967670 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 35*k + (4 - 4 - 1)*(-2 - 2*k + 2 + 3*k + 0*k - 2*k - k + 0*k + 3*k - 2*k + 3 - 3 - 2*k + 4*k - 4*k + (-1 + 4 - 1)*(-4*k + 3*k - k)).\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:22 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 75\/6 - (-2)\/(-4). Suppose -4*b = 2*f - 0*f - o, 2*f = -3*b + 7. Sort -0.2, b, -1\/6 in descending order.\nAnswer: b, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 18 + -65 + (4 - (8 - 14)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -932*g - 6323. Determine r(-7).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 42 + -12 + 29?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-8)\/(-2) + 2. Suppose 11 = 3*p - 1. Solve -5*f + 21 = -v - 1, -r*f + p*v + 24 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 102 = k, -14166*k + 3*j - 38 = -14167*k + j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.14155+119\nAnswer: 120.14155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04465 + 4.04465. Which is the closest to -0.1? (a) o (b) -3 (c) 0.02 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -162 * 0.0424.\nAnswer: -6.8688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322418 to the power of 1\/2, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 94387530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let x(k) = 6*k**2 - 3. Let g be ((-39)\/12)\/(1\/92). Let u = 304 + g. What is u*v(w) + x(w)?\nAnswer: w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 28*d + 6 = 0. Suppose 4*o = 6*o, 2*o + 8 = d*c. Suppose 5*w = -f + 8, -c*w + 0*f + 16 = -4*f. Solve -w*z = -6*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9498 - -104477\/11. Let s = 0.5 - 0.6. Which is the nearest to -1? (a) -3 (b) -5 (c) s (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6270 is divided by 6091.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + -3 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1433962 (base 11) to base 8\nAnswer: -11316106","meta":{"dup_signals":{},"source":"numbers__base_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 17 divide 2114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.525036ns to seconds.\nAnswer: 0.000000004525036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 45?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -4271999 and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -0.2, -2\/95, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 434*m**6\/15 - 3829*m**4\/12 - 3950*m. What is the third derivative of y(f) wrt f?\nAnswer: 20832*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.3 - -4. What is the closest to 1 in -0.06, j, -3\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4817029 litres?\nAnswer: 481.7029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4177891310.7 and -4.\nAnswer: -4177891314.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*-5*sqrt(15)\/(sqrt(432)*-2 + sqrt(432))*-3.\nAnswer: 45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -656, -2.7, 474, -0.5?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 13*l**2 + 11*l - 41. Give j(6).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = a + 4*q + 12, 0 = 2*a - 2*q + 34. Suppose -3*o + 12 = -4*c, -2*o - 3*c + 8 = -5*c. Put a, -4, o in ascending order.\nAnswer: a, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 89475489\nAnswer: 1\/9941721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375579196 a multiple of 10414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -882*l**3 - 67*l**2 + 4*l + 30. What is u(-2)?\nAnswer: 6810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 4, -8, 2 in ascending order.\nAnswer: -8, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906735609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 8084.\nAnswer: -3\/8084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1354*s = 1516*s - 1006*s - 5642 - 9270 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t - 3. Let c be i(3). Let q = -6.83 + 1.83. Sort q, 0.4, -4\/5, c in ascending order.\nAnswer: q, -4\/5, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/1009? (a) -2.1 (b) -121 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x + 2. Let q(d) = 17*d**3 + d**2 + 12*d + 9. Calculate 3*b(p) - q(p).\nAnswer: -17*p**3 - p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let b be -27*(4 - 204\/27)*6. Let z = b + -385. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -21093 + 8106. What is the units digit of m\/(-130) + 11 + 15722\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8*-2*-2. Let o(p) = 2*p**3 + p**2 - 1. Let s be o(m). Suppose 3*t + 8 = -7. Sort -3, s, t in decreasing order.\nAnswer: s, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r - 1. Let j be o(-6). Suppose -2*s + 0*y = 4*y - 124, s + 3*y = j. Suppose 2*n = 5*k + 156 - 16, -k = n - s. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -595 - -595.016. Which is the second biggest value? (a) 0.4 (b) s (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/11 and 43\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3)*(-4 + 1). Let a(j) = -3055*j + 19. Let i be a(0). What is the third derivative of -12*b**q - 20*b**2 + i*b**2 + 24*b**5 wrt b?\nAnswer: 1440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 45, 55, 81, 129, 205, 315, 465?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -20.47, 0.05 in decreasing order.\nAnswer: 0.1, 0.05, -20.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -0.5 (c) 467 (d) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 103060676.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in 1\/6, -1, -1157, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -24\/689?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-14))\/((-110)\/154)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*b + 21 = -b, -4*b + 7 = 3*d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41706525 divided by 70095.\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -20071 < -20072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:39 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1)**(-7\/5)*((a*a**(2\/17))\/a)\/a*a**(1\/4))**(-18))**18 assuming a is positive.\nAnswer: a**(55971\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(4\/11) - (-290)\/(-58). Let y = 0 - -0.4. Let h = -0.4 + y. What is the nearest to 0.1 in n, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12417 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18949 - 5902 = 892*v - 72*v + 25989 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 66, -1\/2, -0.3, -12, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) 1 (c) -12\/13 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.316 - 0.516. What is the closest to -0.2 in i, -0.5, 36, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*sqrt(51)\/sqrt(3) - (0 + (-1 + sqrt(17) + -1)**2).\nAnswer: -21 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36392 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*n + 306 = 0, 0*n + n + 1 = 0. What is the remainder when 432 is divided by v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 15*d + 2*b = 1237, 3*d - 739 = 2*b. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433340003 (base 5) to base 16.\nAnswer: 1c508c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/44 - -3 - 2. Put 12, 4, z in decreasing order.\nAnswer: 12, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - 5*n - 2. Let o be d(6). Let l be (o + 6\/(-2))\/1. Let g = -87 + l. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/3 + 0 + -4 + 4. Which is the nearest to 0? (a) r (b) 0.118 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76.9 + -77. Which is smaller: f or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4011\nAnswer: 1\/4011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2255, -2224, -2129, -1922, -1555, -980, -149?\n\"Answer: 8*y**3 - 16*y**2 + 23*y - 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8813 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**3\/6 + 11*p**2\/2 - 2*p. Let l be z(-6). What is the nearest to 0.5 in l, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a**2 + 3*a - 1. Let x be 4\/(-14) - (-126)\/98. Calculate d(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/312 and -21\/2288?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-6)*(8\/(-25))\/((-47)\/((-31725)\/90))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29146 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3886, -3766, -3624, -3448, -3226, -2946?\n\"Answer: 2*p**3 - p**2 + 109*p - 3996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4413, 8798, 13183, 17568, 21953, 26338?\n\"Answer: 4385*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -446730*x - 9381331. What is j(-21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 3*o + 2. Suppose -3*m + 6 = -3. What is the units digit of l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjfj when four letters picked without replacement from {f: 7, i: 3, j: 5, k: 4}.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -4)*(-1 + -28772). Is (30\/8)\/(8 - y\/(-3600)) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2170*s - 127. Is j(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15943748 to the nearest integer?\nAnswer: 3993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -2\/13 (b) -3 (c) 2 (d) 0.0643 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 266 - 266)*(-755 + 755 + 33*m + (-5 + 5 - 2*m)*(-1 - 2 + 1) + 7*m - 4*m - 4*m - m + m + m).\nAnswer: -74*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 219, 284, 351?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 19590*g**2 + 19595*g.\nAnswer: -5*g*(g - 1)*(g + 3919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -437 (b) -5 (c) 0.2 (d) 0.1 (e) 0.09 (f) 2 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -33, -2, 5, -2\/5 in increasing order.\nAnswer: -33, -2, -2\/5, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (104\/(-952))\/13*-14. Which is the nearest to 1? (a) 11 (b) 0.09 (c) w (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 279, 285, 281, 261, 219, 149?\n\"Answer: -n**3 + n**2 + 10*n + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 18*z**3 + 12*z**2 - 20*z - 24. Let l(x) = 2*x**3 + x**2 + 3*x - 2. What is -g(k) + 12*l(k)?\nAnswer: 6*k**3 + 56*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 4, -0.086, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -102\/767945?\nAnswer: -102\/767945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61, -336, -795, -1438?\n\"Answer: -92*n**2 + n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9181)\/(-9) - (-16)\/(-144). Let h = b + -437. What is the highest common factor of h and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26052931*t**4 - 40458208*t - 3 wrt t?\nAnswer: -312635172*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(-4*sqrt(7)) + sqrt(44) + sqrt(44) + (sqrt(44) + -2*sqrt(44))*-2)\/((sqrt(144)\/(sqrt(4) + sqrt(36)))\/(sqrt(18)\/sqrt(2)*4)).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*u + 882 = 257 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r + 9163 = 10302 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 2*r**2 + 0*r**2 + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = -2*l - y, 2*y - 14 = -5*l. Suppose -3 = -0*n - 2*n + 3*j, -3*j = n + 12. Let z(k) = 22*k + 201. Let v be z(-9). Sort l, n, 4, v.\nAnswer: n, l, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/2575 and 11\/219500.\nAnswer: 22608500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 1, -3.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -6d?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w - 4. Let a(x) = -x + 1. Suppose 9*f - 4*f = 0. Let r be (3 - (-3 + f))*1. What is r*a(j) + z(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 141?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37558 + 20*g + 18760 - 9*g + 18798 - 3*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 281, 282, 283?\n\"Answer: f + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209459 is divided by 1007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 2*o**3 - 57*o**3 - 3*o - 36498*o**2.\nAnswer: -55*o**3 - 36498*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 133149 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 2*v + 102354. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/27 and 41\/2695215.\nAnswer: 24256935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 10, -2398*q = -i - 2397*q + 643. Which is bigger: 5765\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 - 51*o + 10. Let n be l(17). Let t(x) = -3*x - x - 22 + x**2 - 2*x. What is the lowest common multiple of 14 and t(n)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (1 - 7) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from ffofomfdmmmmmfffffd?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 37 + 36 - 166 + 39 - 4*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) - (sqrt(21)\/sqrt(3) + -4)**2)*3 + -5*(sqrt(441)\/sqrt(7) + sqrt(42)\/sqrt(96))**2.\nAnswer: -135*sqrt(7) - 395\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.923362ns?\nAnswer: 0.000000000000812045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 2*m = -50309. Suppose 0 = b + x - 3594, b - 3*x + m = 3*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*n + 4)*(292234 - 139464*n + 292251 - 584485) to the form i*n**2 + h + u*n and give i.\nAnswer: 278928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/13924 + 959273\/15748044. Calculate the common denominator of h and -76\/435.\nAnswer: 5655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54\/23 - -481\/138. Find the common denominator of (-22057)\/(-822) + (10 - 1)*-1 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -64, -139, -236, -367, -544?\n\"Answer: -2*f**3 + f**2 - 64*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**2. Let q = 2188 + -2173. Let m(z) be the second derivative of 0*z**3 + 0*z**2 + 1\/6*z**4 + 0 - q*z. Determine m(a(t)).\nAnswer: 98*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(114))\/(sqrt(150)*1))**2 + sqrt(38)\/(sqrt(2)*-2) + sqrt(19) + (sqrt(19) + -1)**2 + sqrt(19) + sqrt(19) + 4 + 0.\nAnswer: sqrt(19)\/2 + 1816\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(78)*2*-6 - (-6*2*sqrt(78) - sqrt(78)))\/(sqrt(294) - 2*sqrt(294) - (sqrt(30)\/sqrt(5)*-4 - sqrt(6))).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12299)\/(-3))\/(10\/30) + -6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41c8b7 + -a4?\nAnswer: 41c813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9670456cm in nanometers?\nAnswer: 9670456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l. Let n = 800 + -787. Let y(z) = 17*z - 33 + 12 + 8 + n. Calculate b(y(u)).\nAnswer: -102*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {j: 5, v: 5, k: 3, b: 2, y: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*39*(-15)\/225.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 16*b + 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 1 g when three letters picked without replacement from {u: 8, m: 5, w: 1, g: 4}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2887.23 and 0.2.\nAnswer: 577.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 19*k + c + 32 = 0, -2*k - 5*c - 20 = 0. What is the biggest value in k, -4, 69.3?\nAnswer: 69.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12449 is divided by ((-7)\/2 - -3)*1848\/(-21)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 12*p**2 - 8*p - 7. Let k be y(-1). Suppose 15*b = k*b + 3*u + 79, 3*b = u + 115. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -85. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 24.86. Let d = 1.86 - f. Which is the nearest to -1? (a) d (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6605 is divided by 1622.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 948 or -4?\nAnswer: 948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = 16. Let v(k) = -k**2 - 5*k. Let s be v(-4). What are the prime factors of s + 0 - (-1 - f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*x**3 - 2*x**3 + 5*x**3)*(-3 + 2 - 1)*(-6 + 4 + 0) to y*x**2 + b*x + z + h*x**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4*(-30)\/(-40)*6\/(-63)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*w = -76*w + 2512 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 16*v + 22. Let b be g(17). Suppose b*k + 10 = -5*l, l - k - 14 = 2*k. What is the fourth biggest value in 2\/13, 0.4, -0.06, l?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 9)*(-12)\/(-21) - 11. Suppose 14 = -5*r - 11. Which is the nearest to i? (a) 1\/5 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 2. Let x(z) = 3*z - 2. Let s be x(3). Suppose 2*k - s = -h, 0 = -3*k - 0*k. What is the highest common factor of y and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.62 + -23.6199995164. What is k rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 minus 590649723?\nAnswer: -590649723.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -7.8, 0.1, -1\/5, 4\/3, 1 in ascending order.\nAnswer: -7.8, -1\/5, 0.1, 0.4, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/4 + 1955*p + 7825\/4.\nAnswer: -5*(p - 1565)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z - 48. Let s(v) = -7*v + 48. Let t(w) = 3*s(w) + 4*y(w). Let o be t(14). What is the units digit of 102 + (-4 + 0 - o\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (662930\/30)\/(10\/12*(-46)\/(-115)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**5\/20 + m**4 - 11*m**3\/6 - m**2\/2 - 10*m. Let y be q(11). Which is the smallest value? (a) -3\/4 (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -705 divided by 5.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*s = 4 + 14, s + 29 = 4*i. Let t = -85.143 + 84.643. Sort t, 0.5, 0.2, i in decreasing order.\nAnswer: i, 0.5, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 4*f - 2. Let b be t(-5). Let i(l) = 2*l + 6. Let h(n) = 3*n + 7. Let d(k) = b*h(k) - 4*i(k). Let p be ((-6)\/(-4) - 2)*-10. Calculate d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 16*l**2 + 20 - 7*l**2 - 3 - l**3 - l. Let p be ((1 - -1) + -3)*(-36)\/((-8)\/(-2)). Let u be y(p). Solve -2*g + t = -0 - 4, g + t = u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + -41.42. Let w = v - -41. Which is the second smallest value? (a) 0.1 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22199630 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8893701 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23602692 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -624 - -11645. Is 46 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 5 = 3*z. Let u be (z - 0)\/(1\/(-3)). Suppose -u*s = -5*s. Solve 0 = -s*i + 2*i + 4*o, i = -o + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2238 and 9534.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 464?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**14))\/(g**12\/g))\/(g\/(g\/(g\/(g*g**(2\/9))))*g*g**6) assuming g is positive.\nAnswer: g**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 7 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52\/14 - (-24)\/84. Solve -1 = -i*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1499*g + 8 + 2 + 316*g)*(5*g - 2*g - g)*(2 + 3 - 3) in the form c*g + p*g**2 + b and give p.\nAnswer: 7260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 4*f + 6. Is ((-75)\/(-60))\/(f\/120) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 369\/42 + -1 - 4 and 31\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031223333 (base 5) to base 3.\nAnswer: 11011100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 11*o + 31. Determine v(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4497 = 3*j - k, 0 = -3*j + k + 2697. Is j a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/4)*s)*s*s)**(-32))**28 assuming s is positive.\nAnswer: s**(-1568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-8 + 4 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(130) - -4*sqrt(130)) + sqrt(130)))\/((sqrt(160)*-2 - sqrt(160) - sqrt(160)) + sqrt(160)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmsg when four letters picked without replacement from msmvmvmvvvsgsmv?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -979\/63 - -108\/7. Let k = -379 - -372.72. Let m = 1.28 + k. What is the second biggest value in -3\/4, 1\/2, r, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5704941m?\nAnswer: 570494.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one halves of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {i: 1, x: 1, j: 1, r: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 + 35*y**3\/3 - 3*y + 52. Let z be k(-35). Let q(b) = -b**2 - 3*b - 2. Calculate q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - ((144 - 137) + 1 + -1 + -3 + 1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x**4\/4 - 348211*x**3 - 7362319*x**2\/4 - 2586776*x - 596949 = 0. What is x?\nAnswer: -3, -2, -2\/7, 198983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*i - 8, h + 4*i + 12 = -h. Let r(y) be the third derivative of -1\/12*y**4 + 0*y + 2*y**h - 1\/60*y**5 - 1\/6*y**3 + 0. Calculate r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 6:05 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-66)*(-17)\/(119\/(-14)). What is the smallest value in -0.4, o, -2\/3, 3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/17 (b) -0.4 (c) -0.41 (d) -3 (e) -61\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*j + 3*o, -2*j + 3*o + o + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 390 (b) -0.2 (c) 27 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 51. Let m be y(-23). Sort -3, 1, m, -6 in descending order.\nAnswer: m, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*s + 22, -4*d = 4*s - 7*s + 23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53997605707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -4\/19 (c) 17 (d) 0.08 (e) -5 (f) 3 (g) 9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -382, -352, -270, -112, 146?\n\"Answer: 4*z**3 + 2*z**2 - 4*z - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29822.\nAnswer: 2, 13, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.036 + 0.036. What is the closest to -3 in m, -2.5, -2\/5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 369.521 and -146.\nAnswer: 223.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-14 + (-13 - -14)) - (9 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15043 = -375. Suppose w - g = -4*m, 3*m - w + 4*w - 2748 = 0. List the prime factors of m.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*j - 69*j = 8. Solve 0 = -4*v + 4*z - j, 0 = 3*v - 4*z + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/187 + (-695)\/(-55).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-2775)*2975\/3094\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1 + 0*t**2 + t**2 + 3*t + 4*t - 2. Let u be k(-8). Find the second derivative of 7*q**5 - u*q + 2*q - 2*q**5 wrt q.\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 3, -48, 1 in descending order.\nAnswer: 4, 3, 1, -8, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**4 + 23*f**4 + 20*f**4 + (2*f - 2*f + 2*f)*(-3*f**3 + 2*f**3 + 2*f**3) + 11*f**4 - 4*f**4 - f**4.\nAnswer: 45*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t**(-2\/5)*t)\/t*t)))\/t)\/(t*t*t*t**(-20)*t)*(t\/(t\/(t*t*t**(3\/8)\/t*t*t*t))*t)\/(t*(t*t**27)\/t) assuming t is positive.\nAnswer: t**(-281\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 24*u**3 + 56*u**2.\nAnswer: -2*u**2*(u - 2)*(u + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 830, 828, 826?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 4*r - 29. Suppose 4*t + 50 = -5*c, -2*t - 33 = 3*c - 3. What are the prime factors of a(c)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)*-2)\/sqrt(9) - sqrt(28)) + 6*(sqrt(28) - (sqrt(112) + sqrt(28))))\/(sqrt(196)*3*6).\nAnswer: -5*sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 5*i - 13, 0 = 2*t + 4*i - 26. Let x = -56 + 30. Let l be x\/4 + 3\/2. Put l, t, 0 in decreasing order.\nAnswer: t, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 5*t + 3*z - 486 = 0, -5*z - 1556 = -9*t. Solve 0 = 4*j - 168*r + t*r - 6, 2 = 3*j + 2*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1191 (b) -29 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 + 130*i\/11 + 12.\nAnswer: -2*(i - 66)*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 - 96*l + 482. Give f(5).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((5*sqrt(2662))\/sqrt(2))**2 - (sqrt(99) + 0 + 1*sqrt(99))**2) + 1.\nAnswer: 32875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6037 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = -18. Suppose -d = -h*b + 15, 4*b - 7*d = -2*d + 33. Let r = 5 - -1. Solve -20 = b*z - r*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*b - 7 = -3*b, 4 = -4*p - 4*b. Let h(i) = 30*i. Calculate the lowest common multiple of 6 and h(p).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, k: 3}. Give prob of picking 1 k and 2 t.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19369*t - 19378*t - 45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55689387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 53414808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m + 6. Let v = -16 - -26. Calculate the smallest common multiple of c(-4) and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(1\/46))**33*((n**(-2\/19)\/n)\/(n*n**0*n))\/(n\/(n\/(n**1\/n)))**(3\/20) assuming n is positive.\nAnswer: n**(-59\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, y: 4, c: 3, v: 4}. Give prob of picking 1 v and 1 g.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 4*u**2 - 6*u + 7. Let z be q(5). Let f be (-4209)\/2684 + (-7)\/(-4). Which is the second biggest value? (a) -1 (b) f (c) z (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(32\/6))\/((-18)\/48). Let k be -5 + -1 + (5 - o\/(-2)). Are 49 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2679 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(13)) + (sqrt(130)*-1 + sqrt(130))\/sqrt(10))**2 + 4 + (sqrt(468) + 2)**2.\nAnswer: -40*sqrt(13) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13 + (1 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -1, -0.56.\nAnswer: -36, -1, -0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 649.794515 + -99.795133. Let m = t + -550. What is m rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.475, 3, -3.\nAnswer: -3, -1.475, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10420 - -10422. Let v(x) be the second derivative of -7\/6*x**4 + 0*x**3 + 0 + 9\/2*x**h + 11*x. Differentiate v(m) wrt m.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1239\/(-910) - (98\/(-833) + (-109)\/85)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 27. Let c be -1 + 4*20\/16. Suppose -c*r + 50 + 10 = 0. Solve -17 = 5*l + w, -w - r = -t*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/5 - m**3\/5 + m**2 - 3*m\/5.\nAnswer: -m*(m - 1)**2*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 0, 73, 0.1 in descending order.\nAnswer: 73, 0.1, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 4*r + 32. Let i be 124\/93*(-10 + 2 + -1). Is 16 a factor of p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 603, 1224, 1845, 2466, 3087, 3708?\n\"Answer: 621*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*m + 5*p, -20 = 3*m + 5*p - p. Let a(v) = v**2 + 9*v + 11. Let n be a(-8). Let u(x) = -3 - n - x - 4 + 18. What is u(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/49 (b) -1 (c) 2\/11 (d) 2\/1557 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6 + s**3 + 152*s + 0 - 57*s**2 + 58*s**2 - 2*s**4 + 7 as f*s + q + y*s**3 + t*s**2 + n*s**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-5) + 3 + 48\/60. Solve 5*s = -3*h - 19, 0*h - s = -h - v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*j - 2 + (-2 - 1 + 4)*(11 - 11 + 5*j) + j - 4*j + 4*j)*(0*j + j - 4*j)*(4*j - 7*j + 4*j) in the form f*j**3 + g + r*j + s*j**2 and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*w - 62*w - 233 + 401 = 0. Is w at least as big as -543\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 209*y - 46. What is the tens digit of q(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/12)\/((-6)\/12)*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*g + 45, -4*g - 5 = 6*i - 3*i. Let m = 10 + g. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 894 = z. Let t = z + 459. Calculate the common denominator of 55\/12 and (-3)\/(-4)*t\/55.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186.3 - 194. Let c = -0.13 - -3.83. Let o = c + y. Put 1.5, 0.2, o in ascending order.\nAnswer: o, 0.2, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q**5 - 625*q**4 + 1170*q**3 + 40*q**2 - 1190*q + 585 = 0 for q.\nAnswer: -1, 1, 117\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 47.\nAnswer: -9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/(3\/(-2) - 0))\/(5\/(-15315))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -c - 160 + 80 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 29 = 2*n. Suppose -3*j = -3*b - 3 + 69, -2*j + b - 48 = 0. Calculate the common denominator of n and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**7\/105 - 16*m**6\/15 + 47*m**5\/6 + 25*m**4 - 2*m**2 - 17*m + 21. Factor n(r).\nAnswer: 2*r*(r - 60)*(r - 5)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 4744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 19, 16, -2\/9, 1\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -550 or -10\/3?\nAnswer: -550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 1449249982?\nAnswer: 1449249982.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 15, a: 4}. What is prob of picking 1 a and 2 e?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166*y**4 - 92*y + 635*y**6 - 196*y**4 + 362*y**4 + 434*y**6 + y**2 wrt y?\nAnswer: 128280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 3\/7*z**2 + 0*z + 3\/7*z**3 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 1 (c) -1.01 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3084.36 * 110\nAnswer: -339279.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -46*d - 230. Let a be k(-5). Solve a = 19*m - 15*m + 5*r - 13, -5*m + 5*r - 40 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 19*u - 9. Let t be b(19). What is the tens digit of (t\/6)\/((-1)\/((-1866)\/(-9)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 + 5)) + (-23 - -26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -50, -60 in decreasing order.\nAnswer: -4, -50, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1066440 and 2488360?\nAnswer: 7465080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 divided by 50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(343) - (sqrt(343) + sqrt(343) + 0)*-3 - sqrt(343)) + -5).\nAnswer: -168*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 15*s - 10. Let x be f(1). Suppose x*i + 368 = u - 43, 3*u = 4*i + 1277. List the prime factors of u.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29812?\nAnswer: 2, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 4950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**5\/5 - 13*k**4\/6 + 15*k**3\/8 + 9*k**2\/4 + 3465*k. Determine q so that n(q) = 0.\nAnswer: -1\/4, 3\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/20 and 71\/180144.\nAnswer: 900720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**6\/75 + 4*r**5\/5 - 37*r**4\/10 + 38*r - 4. Factor g(n).\nAnswer: -2*n**2*(n - 37)*(n - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 11 = 3*z + 2*q + 5, -3*q + 35 = -10*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {m: 1, a: 1, s: 1, e: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and 1131834745.908.\nAnswer: 1131834746.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 3. Calculate the remainder when 51 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llt when three letters picked without replacement from llutiiivltiieiii.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 10*o**2 + 4*o - 3. Let d be n(9). Let t = 96 - d. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 8:52 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2846 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1048*b**3 - 2*b**2 + 5*b - 4. Let d be o(1). Is -2*d\/10 + 22\/110 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*j - 24*j + 3868647 + 4701383. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11511 + -11477. What is the third smallest value in -1\/2, -5, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*1*5)\/sqrt(6).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356011429?\nAnswer: 47, 28851307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**2 - 26*v**2 + v**2 - 2*v in the form q + o*v + z*v**2 and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/(-29) + (4\/6)\/(25\/1050) + -14.\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242 (base 9) to base 15.\nAnswer: d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + h + 9 = 0, -3*c - h = 4*h + 9. Solve 0*g - c*g - 10 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 4648881 - 4648881 - 453*v**2.\nAnswer: -453*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 20*f = -2*i + 5996, -2*i + 3*f + 5982 = 0. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156051 is divided by 25802?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 6*i - 2. Let v be q(5). Suppose -v*t = -t. Solve 3*a - 4*a + 5 = t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -4 + 31 + -38.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2334 + -65112.667.\nAnswer: -65112.4336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/11 (b) 3 (c) 1\/8 (d) 1\/6 (e) 1 (f) -356139\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52890 times 4?\nAnswer: 211560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1827*c - 237. Is 57 a factor of y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**4\/3 + 610*d**3 - 53955*d**2 - 340380*d - 518940 = 0?\nAnswer: -3, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*m = 292651 - 301957 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270823.5 minutes in seconds?\nAnswer: 16249410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5244972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -169188 != -169248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28947 + -12572. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**5\/60 - s**4\/8 + s**3\/2 - 3*s. Let h(l) be the second derivative of g(l). What is the first derivative of h(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 1:42 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 1. Let g(u) = 8*u**2 + 10. Let a(y) = g(y) - 2*p(y). Let r be a(2). Calculate the greatest common divisor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(6\/10)\/(-33 - -32). Solve 2*c = j*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4605371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 25*h = 61 - 16. Let c(k) = -k**2 + 19*k - 75. Give c(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-5 + 17)\/4). Suppose 3*y - 35 = -2*m - 2*m, u = -4*m + 20. List the prime factors of 5*(5\/y - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 1076992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/((-2)\/(48\/(-81)))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 127*l + 27 = -122*l, 8*l - 10 = 3*c + 7*l - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5766423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82704*d**2*h**4 - 17*d**2 + 3*d*h**3 + 6130 with respect to h.\nAnswer: 330816*d**2*h**3 + 9*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3*y + 3*y)*(-5 + 3 + 4) - 2*y - y + 4*y - y + 2 - 2 + (-3*y + 5*y - y)*(0 - 1 + 0).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3666770 or -3666767?\nAnswer: -3666767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 8*m + 50864 = -9*m, -5*m = 5*h - 50870. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1314969, -1314976, -1314997, -1315038, -1315105?\nAnswer: -1315204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -88\/13 (b) 37 (c) 1\/2 (d) -0.1 (e) -10 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593799853?\nAnswer: 29, 20475857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84640 + 84639. Suppose -2*s + 20 = 3*s. What is the nearest to -3 in x, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - 4*c + 12. Let f be 2\/4*-1 - 182\/(-52). List the prime factors of o(f).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1401265*n**5 + 407839*n + 1 wrt n.\nAnswer: 28025300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 271367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 10. Let r = 480323\/1285 - 1869\/5. Is r at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 4*x + 2. Let h(m) be the second derivative of 0 + 3\/2*m**2 - 9*m - 5\/6*m**3 + 1\/6*m**4. What is -4*a(q) + 3*h(q)?\nAnswer: 2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 1183\/(-104) + 3380\/9440?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 44 + 20 = 0, 23 = 5*n - 2*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x - 25*x + x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 2\/8 + (-75)\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.99? (a) 0.2 (b) -0.073 (c) 1\/4 (d) -1 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 769 - 774 = 0, 2*s + 38 = -2*x for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12252)\/27567)\/((-7)\/18)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)\/n)\/(n**(-13)\/n)*(n\/(n\/(n**(2\/77)*n)))\/(n*n*n\/(((n*n**(-18))\/n*n)\/n*n)) assuming n is positive.\nAnswer: n**(-845\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15033 + 7014. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-11)\/2 - 0)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29546*i**3 - 3*i + 3*i.\nAnswer: -29546*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -109 - 31. Suppose 0 = -4*l + 2*l + o. Suppose -3461 = l*v - 25051. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3519 and 16497279.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -379 + 374. Which is the third smallest value? (a) -16 (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q - 14. Let g = -5 - -11. Let h be i(g). Suppose 8*a - 3*a - 320 = 0. What is the greatest common divisor of h and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8))\/((-238)\/(-612))*16\/6?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkxkkrvxxx. Give prob of picking 1 x and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + 24?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*n = 1159 + 1206 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1195 - -851. Round b to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 587 = 2*d + 612, -48*q = 5*d - 361 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3, 2 in ascending order.\nAnswer: -3, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1144 and 2596.\nAnswer: 67496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1607045662 to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40556 - -131667. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4 - (-44)\/(-132)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*y**6 - 15*y**5 - 2*y**4 + 7*y**2 - y + 18 wrt y.\nAnswer: 1920*y**3 - 900*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -101, -167, -289, -485, -773, -1171?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/7 + -15\/14. What is the common denominator of x and 13\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d**3 - d**2 - d - 1. Let c(l) = -38*l**2 - l - 4*l + 37*l**2. Let m be c(-4). Suppose h + m = -3*h. Calculate i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42103657.\nAnswer: 42103657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -926 and 11.7.\nAnswer: -10834.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from ljijiljiiilimdidl.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = 0. Let c = 3.92 - -0.08. Let d = -9 + c. What is the biggest value in d, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*j - 6 = 0, 5*n + 1066*j + 34 = 1062*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -977690 by 4.\nAnswer: -488845\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (220 + -93 - 87) + -76.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011 is divided by 996.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147664 or -147682?\nAnswer: -147682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2173*l - 2177*l - 1 + 0 + l**2 + 43*l**4 to the form o*l**2 + c*l + u*l**4 + r*l**3 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4032) + (sqrt(7) - (-4 + sqrt(7)*2)).\nAnswer: 4 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55.9 + -56. What is the second smallest value in -5, -3, 0, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2896 is divided by 2880?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(69*j + 381 - 381)*((0 + 2 - 1)*(2 - 4 + 4) + 0 + 4 - 2 + 4 + 1 - 4 - 3 + 1 + 1 - 1 - 9 + 20).\nAnswer: 966*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*c + 3*c = -1002 + 672 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -43\/5, -126\/11, 0.1, 3?\nAnswer: -126\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 - -178. Let k = s + -35. Solve 3*d - 32 = 4*j, k*j = -5*d - j + 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/32 and -2*((-2)\/9 - 4540\/(-3744))?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - z = 172, -2*z - 38 = -i - 3*z. Let u = i - 34. Which is greater: 1\/6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-40)*(-8)\/18*108\/(-1548).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -16 in descending order.\nAnswer: 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, -1, 4, -7, 7, 22 in descending order.\nAnswer: 22, 14, 7, 4, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-114)\/(-9))\/((-4)\/18). Suppose -130 = -g - 4*c + 11, 3*g - 2*c - 451 = 0. Suppose -4*z + 5*o = 229, 5*o - g = -5*z - 424. Which is greater: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35, -100, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/7)\/(12\/(-42))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20503 is divided by 392.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 - 45\/2*u**2 - 9\/2*u**3 - 51\/2*u + 3\/2*u**4.\nAnswer: 3*(u - 6)*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 2\/55*w**5 - 4\/33*w**3 + 1\/22*w**4 - 2 + 0*w**2 + 0*w. Factor l(v).\nAnswer: 2*v**2*(v - 1)*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354500009 = -5*q - 3*m, -72*m + 71*m = -2*q + 141799997. Suppose -22*y + 21*y = -q. What is y rounded to the nearest 1000000?\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 x when three letters picked without replacement from hhhxxxxhxx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s + 21. Solve 5*p + 2 = 2*a + 1, -3*p - s = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 1345 = -1455. Let l = -282 + k. Calculate the common denominator of -76\/417 and l.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*u = 9 + 1, -d + 2 = -2*u. Calculate the remainder when 2 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**4\/12 + 5*d**3\/2 + 8*d**2 + 6*d. Let p be a(-14). Find o such that 0*o**2 - 5*o - o**3 + 5*o - p*o + 3*o**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - 66\/(-2)) + 9088981. Round f to the nearest 100000.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*b + 2*d, 0 = 5*b - 4*d + 12 - 1. What is the nearest to 4 in 0.2, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.1. Let h = -1 - c. Let m = -1054 + 1054. Sort h, -0.5, m in increasing order.\nAnswer: h, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 570, 567, 562, 555, 546, 535, 522?\n\"Answer: -b**2 + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7082 + 7088. Let n(y) = y - 9. What is n(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from hhahaaapahaaaaaca?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**0*o**16*(o**29)**(-46) assuming o is positive.\nAnswer: o**(-1317)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j**3 - 49*j**2 - 5*j - 55. Let g be w(-5). Sort 0.1, 4, g, 6\/25 in decreasing order.\nAnswer: 4, 6\/25, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -23. Calculate the remainder when -3*(-7 + 0 + -4) is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -431*a + 2. Let k(y) = 762*y**2 - 36*y - 36. Let s(r) = -106*r**2 + 5*r + 5. Let d(u) = -5*k(u) - 36*s(u). Give d(i(m)).\nAnswer: 1114566*m**2 - 10344*m + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:16 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 50, 164, 388, 758, 1310?\nAnswer: 2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 2. Let x = -2 - 2. Let l be a(x). Put 2, l, -6 in ascending order.\nAnswer: -6, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-12) + 1\/6. Is u + (0 - (2 - 55)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20659.\nAnswer: 73, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-3 - 0) + 13. Let q(r) = -r**3 + r**2 + r. Let h(x) = 3*x**3 - 3*x**2 - x. Let k(w) = l*q(w) + 2*h(w). Let k(v) = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q + 1268*q**3 + 37*q - 27*q.\nAnswer: 1268*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/112 and 59\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (8 - -2) - (-75 - -58).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453403259 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27931770 and 270.\nAnswer: 27931770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -2*u**7\/105 - u**4\/6 + 5*u**3\/6 + 28*u. Let t(a) be the second derivative of s(a). Find the first derivative of t(l) wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/5 + 79316*w**2\/5 + 78709184*w + 707098320.\nAnswer: 4*(w + 9)*(w + 9910)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*g**3*k*l - 131*g**3*k - 16586*g**3*l + 27317*g**2 wrt l.\nAnswer: 31*g**3*k - 16586*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 48, 1 in decreasing order.\nAnswer: 48, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331 + -123022011?\nAnswer: -123021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1268 - 1231. What is the second biggest value in 0.6, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-4 + -14 - -12)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**8\/6720 + w**7\/420 + w**6\/120 + w**5\/20 - 11*w**4\/6 + 24*w. Let y(u) be the third derivative of j(u). Calculate y(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48356, 192687, 433224, 769955, 1202868?\n\"Answer: -2*c**3 + 48115*c**2 + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2 (b) 25\/853 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-168)\/300)\/(18\/45)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3546123 (base 7) in base 14?\nAnswer: -b974a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3*l**2 + 89865*g**3 + 7*g*l**2 + 237*l**3 wrt l?\nAnswer: 2*g**3*l + 14*g*l + 711*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -28 (b) 5 (c) 26\/5 (d) 2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 4*x**2 - 5. Let l be n(-4). Let t(y) = 2*y - 1. Let q(r) = r. Let g(f) = -5*q(f) + t(f). Is g(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4623*p = 4619*p + 40 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 936573215 to the nearest integer?\nAnswer: 30603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -100 in increasing order.\nAnswer: -100, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.115036*-0.0607.\nAnswer: -0.0069826852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1063, -2277, -3583, -4975, -6447?\nAnswer: -7993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*l = 95*l - 45*l + 183. Let c = 5 + -5. What is the closest to c in 0.4, 2\/3, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575 = 1924*y - 1919*y. What is the remainder when 393 is divided by y?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k - 2*k. Suppose -40 = -4*g + k*g. Suppose -15 = -5*f + 5. Calculate the greatest common divisor of g and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**2\/2 - c + 107. What is h(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/32 (b) -869 (c) -1\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -23. What is the second derivative of -a + 17 + 9*d - 5*d**2 wrt d?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.218*8\nAnswer: 1.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 3) + 2\/1 + 0. Suppose -6*d + u*d = 12. Sort 5, -2, d in descending order.\nAnswer: 5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4538, 5349, 6160, 6971?\nAnswer: 7782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let b = 14893 - 14898. Let g(v) = 3*v**2 + 10*v - 3. Give b*j(p) - g(p).\nAnswer: 2*p**2 - 10*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.3. Let c = -90\/13 - -862\/117. What is the second smallest value in 0.4, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8272734 to the power of 1\/2, to the nearest integer?\nAnswer: 2876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m + 3547719 = 44*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**8\/1680 + q**7\/525 - 13*q**6\/300 + 14*q**5\/75 - 47*q**4\/120 + 7*q**3\/15 + 550*q**2 + 2. Factor u(n).\nAnswer: (n - 2)*(n - 1)**3*(n + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8359770 divided by -93.\nAnswer: 89890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7 = k, -k = 2*t + 7 + 1. Let v be (k\/(-6))\/(10\/150). Solve 24 = -v*f - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = -5*z + 5, z = 5*s - 4. Sort 0, 14, s in decreasing order.\nAnswer: 14, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4)**(2\/45)\/((m*(m**21\/m)\/m)\/m**10) assuming m is positive.\nAnswer: m**(-442\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-3) + 0)*((-18810)\/(-1254) - (-147)\/(-10))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 896.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 122449*l**3 + l**2\/2 + 4*l + 6. Let r be k(-7). What is r rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/95 and 76\/45.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 12 = -4*y, 3*y - 24846*j + 24842*j = 47 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27 * 0.15\nAnswer: -4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 0*z**2 - z + 1\/3*z**3 + 0. Let v(r) be the third derivative of 17*r**5\/60 + 158*r**2 + 52*r. Determine v(w(o)).\nAnswer: 68*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2. Let b(l) = 2*l - 1. Let k(x) = -2*x - 3. Let u(t) = 3*b(t) - k(t). Determine u(n(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 5*l - 2*l)*(3*l**4 - 9*l**3 + 9*l**3 + 1 - 2*l**4 - 1 + (-4 + 4 - 1)*(5*l**4 - 4*l**4 + l**4) + 2*l**4 + 3*l**4 + 4*l**4).\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 + 1020*k + 9920. Give c(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-42))\/(g*(g**(-4\/17)\/g*g)\/g))**(-5\/4) assuming g is positive.\nAnswer: g**(-3675\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*d - 3)*(10796 + 10305 - 20233).\nAnswer: 1736*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 100, 196, 286, 364, 424?\n\"Answer: -n**3 + 3*n**2 + 94*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighty-seven quarters of a microgram?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 64212115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -117*d**2 + 5*d + 1. Determine a(-1).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*u**2 + 1 - 10 + 61*u**2 - 2 - 2*u in the form a*u + s*u**2 + d and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -92, -5, 25, -3, 11, 1 in decreasing order.\nAnswer: 25, 11, 1, -3, -5, -14, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*q - 41370 = 103*q - 188*q. What is the remainder when q is divided by 61?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*r**4 + 8320*r**3 - 120*r**2 - 8320*r - 132 = 0. Calculate r.\nAnswer: -33, -1, -1\/63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 25*m - 21. Suppose 6 = 3*q + 2*j, 16 = q + 2*j - 6*j. Is f(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 348253448 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2123211?\nAnswer: 2123212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12029639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16427069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 78*f - 32*f - 37*f. Which is the third smallest value? (a) 1\/2 (b) 3 (c) -10\/9 (d) 0.2 (e) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25720*m - 25884*m + 4756 = 0 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 752 + 1976. Let g = n + -1217. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34217 - 3*g**3 + 34369 + 4*g**3)*(-2 - 2*g + 2) as d*g + k*g**4 + a*g**3 + m + p*g**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6350*b**2*c*y - 1303*b**2*c - b*c*y - 2*b*y - 713*c*y + 2*c + 30*y - 2 wrt b?\nAnswer: -12700*c*y - 2606*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2037\/119 - 2\/17 - (-1118279)\/(-66069).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)*b*b**(-2\/9))\/(b*b**(-1\/33))**(-2\/11) assuming b is positive.\nAnswer: b**(3017\/5445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isiiis. What is prob of picking 1 s and 3 i?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115556417*s**3 + 6*s**2 + 2*s + 898149 wrt s?\nAnswer: -693338502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-162)\/10 - (-8)\/(-10). Let l = d + 45. What is the highest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42657*k - 14686*k - 497 + 497.\nAnswer: -57343*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22.3, -2\/3, 4, 2, 2\/19.\nAnswer: -22.3, -2\/3, 2\/19, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 25*h**2 + h - 27. Let q = 24 - -1. Let t be b(q). Let z be 4\/t*-1 - (4 + -2). Solve -2*i + z*i = -4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (4 - (3 + -1)) + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-26)\/(-4))\/((-14)\/(-5320))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1064239, -2128386, -3192533, -4256680?\nAnswer: -5320827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 52528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = 2*r, r = -7*b + 2*b + 20. Solve -b*a + 0*a = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(4\/((-16)\/4)). Solve d*h = 1 + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 21*h + 4. What is p(23)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*z + 496 - 251 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6047?\nAnswer: 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 6. Determine a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 11:50 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*t + 6*t = -14, -5*t = a + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -27a1a?\nAnswer: -27a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1599\/1436?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 34918, 3, 45, -4, -3 in increasing order.\nAnswer: -4, -3, 3, 45, 34918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 150 = -p. Let w = -14 - -32. Let x = p - w. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 24 = -4*c, 3*c + 2*h = 3*h + 10. Solve 0*x + 5*x - 5*y - 35 = 0, -y = c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -384.\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7061 = -470*i + 472*i + 3*d, 2*d + 6 = 0. List the prime factors of i.\nAnswer: 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-5))\/((-12)\/(-30)). Suppose 154 = r*l - 4*j, l - 5*j = -7*j + 48. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/27 and -137\/474.\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1286545*l**2*p**3 + 2*l**2*p - 7*l*p**3 + 28*l*p**2 - 116*p - 1 wrt l.\nAnswer: -2573090*p**3 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2010 and 33.\nAnswer: 22110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((-2 + 3*sqrt(637) + sqrt(637) + 4 + 5)*6 + -3)*-4)**2.\nAnswer: 209664*sqrt(13) + 5894923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -9\/10*w**6 + 0 + 0*w**2 - 11\/6*w**4 + 9*w + 0*w**5 + 0*w**3. Find the third derivative of y(l) wrt l.\nAnswer: -648*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -98.06972921.\nAnswer: -98.16972921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p + 8*p - 151*p**5 + 225*p**5 - 6*p + 2*p**3 + 10 wrt p.\nAnswer: 1480*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1 + (-52)\/56). Let z be 187\/3 + x\/(-21). What is the highest common divisor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 20\/(-12))*465. Suppose q - 6 - m = 0. Round q to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + 0.57. Let f = o + -0.67. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37609 and 8437?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**5 - 7*r**3 + 33134*r**2 + 128*r - 1638.\nAnswer: 40*r**3 - 42*r + 66268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1058 divided by -4\nAnswer: -529\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 5, d: 3, w: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = -20. Suppose k*d - 24 = 8*d. Suppose 4*l - t - 105 = 36, 5*t = -25. What is the remainder when l is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93250633 + -2505409?\nAnswer: -95756042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2342, -1\/2, 1, -0.3 in increasing order.\nAnswer: -2342, -1\/2, -0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.38 and -29190.\nAnswer: -29192.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55536)\/(-1602) + 9*-1 - 29?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71033928 to the power of 1\/3, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (3 - (1 + 2)). Suppose -2*s = -p + 8 + 3, 2*s + 8 = 0. Let q be 16\/(-1 - p)*2. Do z and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3221*j**2 - 12. Let u(v) = -16103*v**2 - v + 66. Give 11*n(y) + 2*u(y).\nAnswer: 3225*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 738667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*b - 64. Suppose 2*q + 110 = 2*r, 5*r - 3*q = -0*q + 275. Calculate the remainder when r is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*c**3\/15 - 1822*c**2\/15 + 1816*c\/5 + 24\/5 = 0. What is c?\nAnswer: -1\/76, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.525031 nanograms to milligrams.\nAnswer: 0.000002525031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94063, 188139, 282241, 376375, 470547?\nAnswer: 564763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14137180 to the nearest integer?\nAnswer: 3760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4577 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447736692?\nAnswer: 2, 3, 13, 2870107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/2 - ((-8558)\/(-286) + -59).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b - 5. Let n be k(-2). Suppose -9 = 2*a - n. Let j = 2 - 2. Solve j*g - a = -3*g - 2*v, 2*g + 5*v = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2990\/(-1300) + (-6)\/9*-3.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 3 + 3)*(3 - 1 + 2)*(2 + 2*a**4 - 2).\nAnswer: 32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.94 - 1.9. Let y = j - 0.04. Which is the second smallest value? (a) -0.2 (b) y (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2 + 10\/(-6)). Let m(p) = 13*p**2 + 15*p + 1. Let s(n) = 7*n**2 + 8*n. Let f(d) = 6*m(d) - 11*s(d). Does 22 divide f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*j*p*u**2 - 22*i*p**3*u**2 + 1276*i*p**3*u - i*p*u + 1125*i*u**2 - 9*j*p**2*u + p**3*u wrt u.\nAnswer: 2*i*j*p - 44*i*p**3 + 2250*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -773*x + 762*x + 825 = 0. Calculate the remainder when 391 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4344221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 339. Let g = t + -282.99092. What is g rounded to 4 decimal places?\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -125, 0.15, 3\/4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.4 - 32.4. What is the smallest value in 0.5, c, 17\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2730627, -10922480, -24575577, -43689924, -68265527, -98302392, -133800525?\nAnswer: -174759932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 19. Let x(r) = -5*r + 3. Let g be x(-1). Let a(f) = -16*f + g*f + 7*f. Give a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70341223 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*-2.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 3*j + 8. What is t(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13601, -27449, -41305, -55169?\n\"Answer: -4*k**2 - 13836*k + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - 2. Suppose p*u - 15 = 5. Is 10 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*f + 160. Let y be -13 + -3 + (-1)\/(-1). Let a = y + f. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3859 + 164*w**2 - 1929 - 1930.\nAnswer: 164*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*y**3 - 9*y + 18*y**3 + 9*y.\nAnswer: 65*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 534514 - 3525?\nAnswer: 530545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 91*h - 50. Suppose -5*u + 4*u - 2 = 0. Let p(y) = -18*y + 10. Let d(j) = u*i(j) - 11*p(j). Does 8 divide d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*r - 231 = -215, -r = 6*b + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j**2 + 1. Let g(o) = -104*o**3 - 3*o**2 + 9. Let r(u) = 3*f(u) + g(u). Find the first derivative of r(w) wrt w.\nAnswer: -303*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 1 = -3*m + 5*h, -h = 3*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.146752301 * 1.\nAnswer: -0.146752301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 + 95*y**2 + 89*y - 1972. What is c(48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*k**2*r**2 - 141*k*r**2 - 3*k - 24969*r**2 wrt k.\nAnswer: -26*k*r**2 - 141*r**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 11*r. Let h(i) = -2*i + 1. Let t be h(-1). What is the lowest common multiple of 20 and 1*(r + (t - -5))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1825 + 4272. List the prime factors of j.\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-60)*6)\/(1\/8*6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 8. Let u(o) = 4*o**2 + 25*o - 99. Let g(s) = 3*s**2 + 25*s - 66. Let t(l) = -3*g(l) + 2*u(l). What is r(t(y))?\nAnswer: -4*y**2 - 100*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*h + 11. Suppose 0 = -32*f + 28*f. Solve -5*j + h = 4*l, -5*l + f*j + 20 = -4*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7253.\nAnswer: 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1405 - 1406. Which is the closest to 1\/10? (a) -2\/11 (b) 4 (c) 0 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 28. Let w = -12 - -6. What is the units digit of (-4)\/w - d\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(891) + -3*sqrt(891) + 4)*-2.\nAnswer: 2 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/s**(-22)))\/s)\/s)\/s**8)\/(s**(2\/45)*s)**18 assuming s is positive.\nAnswer: s**(-254\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -1 - (-11 - -7). Suppose 5*a - 127 = -t*j, -4*a - 2*j = 2*j - 100. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206165, 206164, 206163, 206162?\nAnswer: 206161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -34. Suppose a - 12 + 3 = -2*b, 0 = d*a - 3*b + 7. Solve -h + 6 = a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*n + 100 - 113 - 166*n + 239 to o*n + x and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16002448*j - 12065136?\nAnswer: 16002448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 55639490.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 1488?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 6. Let n be b(-10). Let t(q) = -q**3 + 6*q**2 - q - 2. What is the units digit of t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-25)*(j**17\/j*j)\/j assuming j is positive.\nAnswer: j**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4037245096 to the power of 1\/2, to the nearest integer?\nAnswer: 63539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.17 + -0.17. Let b be ((-3)\/4)\/((-2)\/(-8)). Let v = -239\/2 - -119. What is the second smallest value in d, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + -5. Let d be ((-5)\/4)\/5*(4 - 716). Let r(h) = d + 174 - 353. Let x(b) = 5*b + 10. Determine o*r(l) - x(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 270*j**2 - 43289*j - 3828. Give b(-383).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 9*v. Solve -4 = -v*o - 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80563620 less than 9?\nAnswer: 80563629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1814347 - -6516803.\nAnswer: 6516803.1814347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61200 and 124431075.\nAnswer: 3825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 7*k - 3. Let p be u(8). Suppose -p*j = -2013 - 487. Round j to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 l, and 1 q when four letters picked without replacement from {l: 2, i: 2, q: 4, d: 5, v: 2, x: 4}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109646696228 - 0.4?\nAnswer: -0.509646696228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**4\/4 + 14*a**3\/3 - 13*a**2\/2 - 12*a - 17. Let p be u(-15). Is p >= -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 13 = 2*i - 3, 4*i = -4*g. Let w be 2 + (g - 4) - (-2 + 28). Let h be (4 - 2)\/(0 + (-4)\/w). Solve p = -4*b + 5, 7*p - 2*p + b + h = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6047.7289 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 0*k**3 + 47 - 4*k**3 + 3*k**3 - 48 - 241*k to the form u + t*k**2 + n*k**3 + z*k and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2446 - -3.\nAnswer: 2449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0312671 decades in years?\nAnswer: 0.312671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 36*g**2 - g - 3. Is w(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13741*d**3 - 100291*d**3 + 27108*d**3.\nAnswer: -86924*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 346634964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(sqrt(117)*-2 + -2*sqrt(13)*-6 - -6*(sqrt(208)*2 - sqrt(208))))**2.\nAnswer: 3790800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 197206366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 1070398\nAnswer: 428159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8290 divided by 10\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*v**2 + 53*v**2 - 2*v + v - 10*v**3 + 33*v**3 as u*v**3 + z*v**2 + d*v + s and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.636771 centuries to months.\nAnswer: 11564.1252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.18151 rounded to 3 dps?\nAnswer: -1.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 2*p**2 - 4*p**2 + (-6*p + 3*p + 5*p)*(9*p + 15 - 15) - 2*p**2 + 5*p**2 + p**2.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102091265 to the power of 1\/2, to the nearest integer?\nAnswer: 10104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0 - 8*n - 4 - n**2 + 7*n. Calculate v(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 2*k - 5*k - 32*k**2 + 3*k.\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + sqrt(1800)*-2)**2 + (sqrt(242) - (sqrt(242) + -1 + sqrt(242) + 5)**2)*4)*-1.\nAnswer: -3277 + 1020*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 25*i = -46816. Let k = i - -1298. What is k rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 1, r: 1, j: 1, g: 2, b: 1}. Give prob of picking 1 r and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1103.5 and -767.\nAnswer: 846384.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 49*r**2\/3 + 8720*r\/3 - 68800.\nAnswer: -(r - 40)**2*(r + 129)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 391*b**5 + 346*b**2 + 2*b wrt b?\nAnswer: 23460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13158 divided by 86.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 421183522 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5718 is divided by 100?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -7\/24*b**4 + 0*b + 1\/2*b**3 + 0 + 1\/30*b**5 + 3*b**2. Is d(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 - 2*b + 0*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyvv when four letters picked without replacement from {v: 4, y: 10}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 24*p - 23. Let h be l(11). Let i(n) = n**3 - 7*n**2 - 9*n + 3. Let z be i(8). Let w be 6\/15 - (-12)\/z. Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27713 and 44191.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -3351875.7 and 1.\nAnswer: -3351874.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + q**2 + 0*q**2)*(2*q**3 + 0*q**3 + 0*q**3) - 5*q**5 - 9*q**5 + 2*q**5.\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.4.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269.18 - 269. What is the third biggest value in g, -0.5, -0.2, -5, 13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15*y**3 + 7*y**2 + 9*y. Let q(o) = 8*o**3 + 4*o**2 + 5*o. Suppose 14*c = 17*c - 33. What is c*q(k) - 6*j(k)?\nAnswer: -2*k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*o**4 + 72*o**3 - o**2 + 46555*o wrt o?\nAnswer: 336*o**2 + 432*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.97. Let p = 0.17 + -0.54. Let q = p - w. What is the smallest value in q, 3, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*m + 78*m**3 - 67*m**3 - 273*m.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6*l. Suppose 2*d - 3*p = 6*d - 215, -3*d - 3*p + 159 = l. Calculate the remainder when d is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 - 111 - ((1 - 0) + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366 - 113 + 27*y**3 + 479 - 2*y**2.\nAnswer: 27*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -10 - (-1 + 37)) + (-1 - -13).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 833851*j*p**2 - 14141*j*p + 55*j + 11*p**2 + 3*p wrt p.\nAnswer: 1667702*j + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 18*j**2 + 26*j + 99. Let w be h(16). Factor -2\/9*n**w + 20\/9 - 2\/3*n - 4\/3*n**2.\nAnswer: -2*(n - 1)*(n + 2)*(n + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*b**3*v**3 + b**2*v**3 + b**2 + 12*v**3 wrt b?\nAnswer: 66*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 17*z**4\/8 - 8*z**3\/3 + 21*z**2. Is u(27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402866052.\nAnswer: 2, 3, 613, 54767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**4 + 3 - 3592*z**3 + 7*z**4 + 1786*z**3 + 11*z**2 + 1783*z**3 in the form k*z**2 + i*z**4 + n*z**3 + u*z + y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2645607, 5291207, 7936807?\nAnswer: 10582407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10083997.8 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z - 48*z**2 + 88*z**5 - 7*z + 10*z wrt z?\nAnswer: 5280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6157486*d + 13. Let g be i(-3). Suppose 4*a + g = -3*y - 1527544, y + 10000005 = -2*a. Round a to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-420))\/((-27)\/(-30))*63\/(-42)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/2809, -9\/2, 6\/5 in increasing order.\nAnswer: -9\/2, -2\/2809, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 10}. What is prob of picking 2 p?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(0 + 2\/(-68)). Suppose 3*i - a = 4*a + r, 10 = -2*a. Suppose h = -i*h. Solve -5*y = -h*v + 2*v + 21, -3*v + 2*y + 16 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:46 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 (base 11) in base 12?\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeje when four letters picked without replacement from {e: 6, j: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -31*j - 93. List the prime factors of l(-15).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/33 and (-79)\/9*(-24)\/16?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-6) - (-1122)\/36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21437 and 442?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3805 divided by -1\nAnswer: -3805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -68, -10, 154, 460?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 32 - 12 = 0. Let b(z) = z**2 + 6*z - 14. Let o be b(-10). Let c = o + -17. What is the lowest common multiple of j and c?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -365*r - 4011. Let v be y(-11). Sort v, 49, 130.\nAnswer: v, 49, 130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c + 4. Let r(o) = -o - 3*o + 5*o**2 + 3*o - 2. Does 10 divide r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34549 * 5513\nAnswer: -190468637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -89*o**3 + 47*o**3 + 3*o - 38*o**2 + o = 0.\nAnswer: -1, 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(80)*-1)**2 - (sqrt(20) + sqrt(60)\/sqrt(3) + sqrt(20))**2)*2.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1. Let a(j) = -17*j - 4. Let i(n) = -5*a(n) + 15*p(n). Let b be i(3). Round b to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**30)\/v*v**(24\/7)\/v)\/(v\/(v\/((v\/v**(-2\/141))\/v))*(((v\/(v**(-2\/39)*v)*v*v)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(142694\/4277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -64, -91, -118, -145, -172?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 0, 0*r - 20 = 5*r - 5*o. Let y be (-2)\/((-5)\/((-15)\/r)). Suppose 0 = y*d - 2*i - 47 - 2, -4*d + i + 57 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70.3 and 12.\nAnswer: 843.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 479\/20 - 97\/4. Calculate the common denominator of -89\/10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -548.4 - -548. Which is greater: a or 9.78?\nAnswer: 9.78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77.2 - 641846867.\nAnswer: -641846789.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/3))**(4\/15)*(m*m*m**13)\/m*m*m*(m*m**(9\/7)*m*m*m)\/m)**(5\/3))**(-48) assuming m is positive.\nAnswer: m**(-103136\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-9) - -2) + (-238)\/(-18). Let c be 6\/4 - (-2)\/(-4). Sort c, r, 4 in descending order.\nAnswer: r, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -9577a8?\nAnswer: 9577b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -4141572388 and -329.89.\nAnswer: -4141572717.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2618 = 3*a + 11*a. Calculate the greatest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/39)\/n**(2\/3))\/(n*n\/(n\/(n\/(n*n\/n**(-4))))*n)**20 assuming n is positive.\nAnswer: n**(2315\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/41 - -43\/82. What is r in -i*r**2 - 1\/2*r**5 + 1\/2*r**4 + 0 + 1\/2*r**3 + 0*r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 7*a + 8. Let s be v(6). Let h(g) = s*g - g + 0*g + 1 - 4*g. Let u be h(-1). Solve -2*y + 0*t = -5*t, -3*t + u = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1409 or 6947?\nAnswer: 1409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/3)\/(8\/12) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 221103120?\nAnswer: 221103102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (14 + 330\/(-24))\/((-1)\/(-3476))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 r, and 1 i when three letters picked without replacement from irprniiiri?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 4:41 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - o**3 + 1 + 6*o**2 - 3*o**2 in the form h + p*o + f*o**3 + y*o**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13*n - 15. Let j be i(8). Let w = -60 + j. Suppose 0 = g - 5*r - w, 0 = -3*g - 3*r + 17 + 142. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -127*l - 93*l - 2681 - 2819 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 3*s**2 + 2*s**2 + 5*s**2 + 2*s - 2*s + (2 + 5 - 1)*(1 - 1 + s**2))*((-s + 0*s + 3*s)*(-3 + 5 + 0) + s + 0*s - 4*s).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 291 and (-123)\/(-6) + 210\/60.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -43928495.2396.\nAnswer: -43928440.2396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1, 5, -114?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**5\/2 - 28785*o**4\/2 - 28779*o**3 = 0. Calculate o.\nAnswer: -9593, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15562668 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 61. Let h = 16 - c. Put h, 0, -1\/3 in ascending order.\nAnswer: h, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1274 rounded to 1 dp?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(-7))\/(114\/38))\/((-71)\/(-3))?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-32) - (-2382)\/(-8). Let z = -199 - f. Let x = z - 144. Are x and -46 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14253090 + 2832036?\nAnswer: 17085126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152630043*t**2 - 728*t + 10153.\nAnswer: 305260086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, 0.1, 7, -0.2, -11, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 11*v**3 - 7*v**2 - 4. Let l(b) = b**3 - 4*b**2 - 2*b - 3. Let j(t) = -t**3 + 9*t**2 + 5*t + 7. Let k(z) = -4*j(z) - 10*l(z). Give 7*k(n) + 4*w(n).\nAnswer: 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 2*i**2 + 0*i**2 + i**3 + 0*i**2. Let a be v(1). Suppose -3*o = -1 - a. What is the greatest common factor of 9 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r + 6 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-9)\/3*9\/27\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1636405 minus 88339320?\nAnswer: -89975725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - -0.421930915.\nAnswer: 0.361930915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2)\/(237\/(-78) + 3). Let w = -5 + 112. Let a = w - x. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.05 (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376615*0.0116.\nAnswer: 4368.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 10. Suppose w + 2*i = -s, -5*i - 22 - 3 = 0. Suppose 0 = w*y - 2*y - 10. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1780, 3554, 5328?\nAnswer: 7102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.5622 milligrams in micrograms?\nAnswer: 30562.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21052 - -21066.6. Which is the second biggest value? (a) j (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 605929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79365 - 20340. Is 25 a factor of ((-1)\/(-3))\/(25\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:37 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -720 + 720.4. Sort -3, n, 0.5, -0.363 in ascending order.\nAnswer: -3, -0.363, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*a - a = 18, -3*a - 12 = 0. What is the common denominator of -62\/9 and (23 + 0)*y\/10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 10, -18, -52, -86, -114?\n\"Answer: z**3 - 12*z**2 + 13*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2. Let t(s) = -6372527*s. Calculate t(m(q)).\nAnswer: -25490108*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(648) + sqrt(648)*-2).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8420 (base 12) in base 7?\nAnswer: -60024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 21*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00137794 to five dps.\nAnswer: -0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 20 = -5*r, 2*y + 2*y - r + 20 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -0.9. Let w = f - -1.03. Let i be 9\/(-15)*5\/(-6). Which is greater: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7185*k + 58489. What is d(8)?\nAnswer: 1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -2, -16 in ascending order.\nAnswer: -16, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533748197*o**2 - 1533748197*o**2 + 7*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(1\/3)))\/(t\/t**(-1\/5)))**(1\/13)*((t**(-1))**42)**(-2\/23) assuming t is positive.\nAnswer: t**(1237\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*j + 536 + 476 - 1033 as m + r*j and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -222fef - 5?\nAnswer: -222ff4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/58842 and 151\/274596?\nAnswer: 823788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 8416810?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*r = 108*r - 145 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -25*s + 4. Let h(l) = -l**3 + l - 1. Let g(w) = 3*w**3 - 6*w**2 - 4*w + 11. Let v(k) = g(k) + 2*h(k). Let x be v(6). Is f(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81463.6ng in micrograms?\nAnswer: 81.4636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and 0.4.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143705500*p**2 - 313*p - 203632 wrt p?\nAnswer: -287411000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 2, -u - 5*k - 3 + 0 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 2855\/34. Is u > 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 5*a**2 + 0*a**2)*(9 - 159 + 174 - 10*a).\nAnswer: -20*a**3 + 48*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 12*m**2 - 15*m + 1. Suppose 9*o - 19 = 35. Suppose -3*k + o*k - 30 = 0. Calculate the remainder when t(k) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a6 (base 11) to base 5.\nAnswer: 34130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwhh when four letters picked without replacement from wvhhhvhhwhwhw.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289 - (8 + -7)*2\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*t**4 + 264919*t**2 - 2*t + 5764856 wrt t.\nAnswer: -252*t**2 + 529838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 0, -8, -4272190 in descending order.\nAnswer: 5, 1, 0, -8, -4272190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 314\/8331?\nAnswer: 314\/8331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + ((-2)\/9 - (-11)\/9). Suppose -2*m - 3 + 11 = o. Which is smaller: m or 32\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -16\/27*u**3 - 8\/3*u**2 + 1\/45*u**5 + 0 - 20*u + 1\/27*u**4. Solve b(t) = 0 for t.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {l: 3, e: 5, d: 2, f: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)\/f**(1\/7))\/(f**2)**(-23) assuming f is positive.\nAnswer: f**(970\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8097265 and 1628.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.91554031 to 3 dps.\nAnswer: 12.916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)*(-5655)\/(-3). Let o = -1016 + a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-6)\/a)\/a*a\/a**(1\/4))\/(a**4)**(-2\/13))**31 assuming a is positive.\nAnswer: a**(-10695\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**7*l)**(-4) assuming l is positive.\nAnswer: l**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 = -u, 15 = -2*i - i + 5*u. Determine s, given that i - 4\/3*s**3 + 8\/3*s - 4\/3*s**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*k, -2*k = -5*k - f + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 2. Suppose -4*q + 10 = 3*t, -5*t - q = -5*q - 38. Calculate the lowest common multiple of z(-2) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 26*k = 0. Solve 2*m = -d + m + 2, k = 4*d - 5*m - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-8 - -4 - -14)) + -8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 16*u + 8558*u**2 - 8557*u**2 + 0*u**3 - 2*u**3 to w*u**3 + x*u + d + z*u**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16839400 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7242.383 days in nanoseconds?\nAnswer: 625741891200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14597.\nAnswer: 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -15 - 4) + -6 + 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 50764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4260000 and 5625?\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 9)*(x - x - 2*x)*(-5 + 1 - 1).\nAnswer: -120*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w**3 + 68*w**2 - 14. Let o(d) = 3*d**3 - 24*d**2 + 5. What is 17*o(r) + 6*y(r)?\nAnswer: -9*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 2\/5, -0.4, 318?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 134135 and 53654.\nAnswer: 268270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 15 = -5*j - 13*w, 0 = -w + 3 - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1010626625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/7 - 60*a**3\/7 - 66*a**2\/7 + 124*a\/7 = 0. What is a?\nAnswer: -2, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 34. Let j = z - -22. Suppose -52 - 118 = -j*i. What is the remainder when i is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443625537?\nAnswer: 3, 71, 2082749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + 1\/2*g**2 + 7\/4*g - 1\/4*g**3.\nAnswer: -(g - 4)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 14*x**2 + 13*x - 15. Let u(d) = -d**2 + 5*d - 9. Let c be u(6). Is 4 a factor of p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {p: 4, i: 1, s: 5, e: 4, y: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15037 - -4.15037. Suppose -3*p - 3*o - 18 = 0, 2*o = 5*p - 3*o - 10. Let n be (-3)\/((-24)\/10) - 1. What is the closest to 3 in h, n, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 17 + -3 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0*l**3 + 1\/15*l**6 - 2*l**2 + 59*l + 0*l**5 + 0 - 1\/12*l**4. Find the third derivative of f(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 2*z. Let d(n) = -10*n**3 - 96*n**2 - 260*n + 960. Let o(g) = -d(g) + 6*p(g). Solve o(u) = 0 for u.\nAnswer: -20, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 - 6*n**2 - 24*n + 2. Let y(o) = -o**3 + 2*o**2 + 8*o - 1. Let w(c) = -g(c) - 3*y(c). Let r(f) = -74*f**3 + 111. What is -r(z) + 111*w(z)?\nAnswer: -37*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -529621, -529665, -529709, -529753, -529797, -529841?\n\"Answer: -44*d - 529577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1879982200 divided by -4\nAnswer: 469995550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {x: 8, q: 2, f: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**4\/4 - 14*h**3\/3 - 8*h**2 + 25*h + 11. Is z(-13) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 15*t**2 + 18*t - 13. What are the prime factors of n(-10)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/8 (b) -3\/7 (c) 0.08 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o + 69 = -3*x - 52, 4*o = -o + 2*x - 31 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2525 (b) 0.6 (c) -0.1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/60)\/((-1)\/(-1)). What is the third biggest value in 0, 0.5, 7, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 19*n - 3*n - 11*n - 4*n. Let w be 2 - (0\/(-2))\/(-2). Let k be v(w). Solve l + k*a + 6 = 14, -2*a + 12 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 438\/1600673 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1cc7 (base 13) to base 8\nAnswer: 10444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 67, 202, 463, 892?\nAnswer: 1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11120 + -11126. Which is the closest to 1\/4? (a) -2 (b) 0.2 (c) q (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -49. Let p be ((-7463)\/(-3))\/(88\/s). Let u = -679 + p. Is u less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*i + 6, 4*z = -2*i + 5 - 3. Does 9 divide (-42 + -93)\/(-1*z\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1854 and 133\/92625222.\nAnswer: 277875666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605 less than or equal to 9929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00218202 to five dps.\nAnswer: 0.00218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2756 (b) -4\/9 (c) -5\/6 (d) 2\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.6 + 0.4. Let z = w - 7. Is z at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 10*i - 10. Let x be o(4). Suppose 0 = 4*j - 5*p + x, -p - 3 = 5*j - 0*j. Let n = 35 - 141\/4. Which is the biggest value? (a) n (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = -0*n, -5*c = 2*n + 174. Let l = 2 + c. Is 15 a factor of -2 + -6*l\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - y - 6. Let z be c(-3). Suppose -522 = -3*f - z*f. Suppose -2*u = -m - 4*m + 318, m + u - f = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -462, -1, 1, -16 in increasing order.\nAnswer: -462, -16, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.3 (b) 2.48 (c) -1 (d) 0.03 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*9\/12*6. Let g(i) = -u*i - i**2 + 1 + 1 + 1. Is g(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 1110111022?\nAnswer: -1110111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -21*c + 1. Let w(d) = -236*d + 10. Let f(b) = -22*j(b) + 2*w(b). Let t(l) = -11*l - 2. Determine -6*f(a) + 5*t(a).\nAnswer: 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqf when three letters picked without replacement from {q: 5, f: 15}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205547.\nAnswer: 3, 7, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4.5 * 0.2187884\nAnswer: 0.9845478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3863*y + 1054*y + 1046*y + 1041*y + 805*y.\nAnswer: 83*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -23619 smaller than 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 253555*w + 9403. Is o(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + sqrt(9)\/sqrt(3) - (sqrt(756)*-1)\/sqrt(7).\nAnswer: 1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 18*t. Let o(q) = q - 3162759. Give o(g(k)).\nAnswer: k**2 - 18*k - 3162759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 11, 0.\nAnswer: -3, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -22537\nAnswer: 1\/22537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1153751*g**3 + 214288*g**2.\nAnswer: -6922506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 4*v**2 - 5*v**2)*(2*v - 3*v + 0*v) + (6 - v**2 - 4 + 3*v**2)*(-3*v - v + 14*v).\nAnswer: 19*v**3 + 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*d - p, -2*d = 5*p - 2 - 6. Let r(g) = -3*g - 1. What is r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7229159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-99) - (0 + 372\/(-27)). Solve -g = -2*f - 4*a, -7 = -5*a + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2957185 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 18 = p, 0*x + 2*x + 6 = 0. Let r(f) = 4*f - 1. Calculate r(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -9.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54036 and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -176, -131, -58, 49?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2455159815.\nAnswer: 3, 5, 967, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*u = 1, -4*t - t = 4*u - 22. Suppose -4*h - 3*s = -2*s - 565, -t*h = 4*s - 272. What are the prime factors of h?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -28fd?\nAnswer: -28ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-20))\/((-2)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-10) - (-5)\/2. Let m(w) = 21*w**2 - 2*w + 1. Let d be m(v). Suppose -4*p - d = 0, p + 27 = -2*f + 4*f. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.428110206764 minus 22.6?\nAnswer: -23.028110206764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 26\/(-6))\/(36\/(-24)). What is the nearest to -1\/3 in 2, 58, t, -4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(8\/3)\/z)*z*z**(-1\/15))\/(z\/(z*z**4)*z)**(7\/5) assuming z is positive.\nAnswer: z**(67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 bigger than -215299\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyiqwwci. Give prob of picking 2 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435 is divided by 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151 - 2. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14912 and 195254.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 57. Let m be (-1157)\/(-91) - 2\/(-7). Let a be k(m). Solve 5 = 13*x + a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 8*l - 5. Give w(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 11 + -11 + -11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 3, -5, -42 in decreasing order.\nAnswer: 3, 0, -5, -7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -19723, 347 in decreasing order.\nAnswer: 347, -0.1, -19723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, 59, -7, -289, -859, -1789?\nAnswer: -3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2281.34 minus 1891168.7?\nAnswer: -1893450.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Suppose 4*l - 17 - 19 = -5*i, -3*i = 5*l - 32. Suppose -3*d + w*d - i*g + 27 = 0, 78 = 5*d + g. Calculate the remainder when 29 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1272*v + 588*v - 6*v**3 + 684*v + 11*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 11.92, -0.048, 13.\nAnswer: -5, -0.048, 3, 11.92, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 718 = 712, l = -s + 66. Solve -s*a + 121 + 151 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2da (base 15) to base 4\nAnswer: 22033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*c**3*x**2 + 370829*c**3 + 22458*c**2*x**4 with respect to x.\nAnswer: 20*c**3*x + 89832*c**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**3 - 12*x**2 - 6*x + 3. Let v(c) = 2*c**3 + c**2 - 1059 + 1060 - 3*c**3. Let s(w) = b(w) + 6*v(w). What is s(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/704 and (-1)\/((-176)\/706) + 136\/374.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66120 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**5 - j**4 + j**3 - 2*j**2 - 1. Let n(k) = -15*k**5 + 27*k**4 - 39*k**3 + 15*k**2 - 6*k - 6. Let i(u) = -n(u) + 6*o(u). Factor i(v).\nAnswer: 3*v*(v - 1)**3*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 286187\nAnswer: 17\/286187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -11, -35 in descending order.\nAnswer: 68, -11, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4082 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/96 and -43\/1120?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24750474.\nAnswer: 2, 3, 7, 589297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*d = i, 3*i - 2 = -4*d. Factor -54*t**2 - 18*t - 2*t**4 - 66*t**i - 14*t**3 + 154*t**2.\nAnswer: -2*t*(t - 1)**2*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-108)*(-60)\/420?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzczz. What is prob of sequence fc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 424568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3023416 and 60724.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61659.\nAnswer: 3, 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 - 7*o + 10. Let g(n) = -n**2 - 2. Let a(i) = 3*g(i) + v(i). Calculate a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-36*u - 243 + 243).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 80\/(-3)*(-288)\/40. What is the highest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 139*t - 449. Calculate c(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/372 and 79\/71896688?\nAnswer: 215690064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 247, 368, 487, 604, 719?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*v**2*w**2 - 768*v**2*w - 5*v**2 + v*w - 56*v + 6 wrt w.\nAnswer: 28*v**2*w - 768*v**2 + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**3 + 196050*o**2 - 1176435*o + 1764720 = 0.\nAnswer: -39216, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71826 less than 71487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 665.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4*40\/(-12). Suppose -j*x + 14 + 171 = 0. Let u = 9 + 10. What is the remainder when x is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let z(j) be the first derivative of -3 + 1\/2*j**2 + 0*j. Give z(q(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3980 + -3974.867. Round z to one decimal place.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -2\/7, 1, 2\/5, 7\/5, -0.113?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - -579)\/(17\/34).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/5 (b) -13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3256209 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/4*4\/48*3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-4)\/((-16)\/492) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byvyssyvyyyyyy. What is prob of sequence yssb?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438790 is divided by 479482?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24\/1980*44*(-312)\/(-3328)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 - 0.66732617838254\nAnswer: -0.58732617838254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2126*q**2 + 1638*q**2 + 2280*q**2 - 6807*q**2.\nAnswer: -763*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-8 + -4 + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -19 - (-10 - (-3 - 2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 9. What is the nearest to k in -0.1, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 21 = 3*u, -3*q - 2*u = -5*q + 42. Suppose 0 = -4*r - r + 310. What is the remainder when r is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h**(-10)*h))\/h*(h\/h**15)\/h*((h*h**(1\/11)*h)\/h)**(-1\/17))**(4\/21) assuming h is positive.\nAnswer: h**(-3040\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10354*a*c**2*y**3 + 2*a*c**2*y - 2*a*c**2 - 551*a*c + 2*c*y**3 - 12*y**3 wrt c.\nAnswer: 20708*a*y**3 + 4*a*y - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5242896 and 6256.\nAnswer: 89129232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-13)*(h\/(h\/(h\/(h**(2\/13)\/h))))\/(h*h\/h**0)*(h*h**1*h)\/(h\/h**8)*(h*h**(-2\/9))\/h*h*((h*h**(-4\/5)*h)\/h)\/h*h assuming h is positive.\nAnswer: h**(13937\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118167 and 866558?\nAnswer: 2599674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.408262731 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -54. Let y = b + 25. Let t(r) = r**3 + 31*r**2 + 33*r + 117. Let n be t(-30). Calculate the highest common factor of n and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 2*g**2 - 5*g + 3. Let t(f) = f**2. Let h be t(-2). Let q be l(h). Suppose -q = -r + 1. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + -1 - sqrt(475))*5 + sqrt(475) - (1 + (1 + sqrt(475) - sqrt(475)) - sqrt(475)))**2*2.\nAnswer: -280*sqrt(19) + 3898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8001064*l**3 + 491116817*l?\nAnswer: 48006384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 + 2*d**2 + 8*d**2 - 4*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 140*c**2 - 26*c - 114. What is the hundreds digit of n(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14728 or 132554\/9?\nAnswer: 14728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.3 - 12. Let l = 0.9 - 0.2. Let o = l + q. What is the second biggest value in 0.5, 1\/3, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -0.3, 348, -7.68 in ascending order.\nAnswer: -7.68, -0.3, 0.8, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 255100 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380456 and 798.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + 4*y**2 - 2*y**2 + (-4*y + 3*y - 5*y)*(-1 - 2*y + 1).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/15*3 + (-181749)\/318660 and 73\/9.\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45317*0.04.\nAnswer: 1812.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 34*m - 12. Let w(n) = -n - 11. Let y be w(-9). Calculate the remainder when 3\/(-1)*22\/y is divided by x(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l = 86*l - 682. Which is the third biggest value? (a) l (b) 1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 1. Let y be n(3). Let v be (5\/(-2))\/y*6. Solve 8 + 7 = -v*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/35)\/((-1)\/(-14)). Suppose -g*t + 37 = -195. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w - 24*w + 9*w**2 - 7*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -478, -1162, -2150, -3460?\nAnswer: -5110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1794166, -3588414, -5382664, -7176916, -8971170, -10765426?\nAnswer: -12559684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 3*n + 10 = -4*s, 0 = n + 2. Let i(x) = -x**3 - 4*x**2 + 5. Let j be i(s). Let w = j - -1. Calculate the smallest common multiple of w and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**4 + 5*x**4 + x + 4*x**2 + 0*x - 1 - 9*x**4 to the form c*x**2 + l + a*x**3 + d*x + p*x**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {y: 2, z: 2, h: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7734.967192 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 44*r + 660. What is g(12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 37 = 2*a, -5*a - l = -73 - 37. Let q(k) = 2*k**2 + 5*k + 4. Let s be q(-3). What is the greatest common factor of s and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.999568 to one decimal place.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 86 = 9. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-3)\/(27\/6))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 8*p - 151. Let c be o(9). Let z(l) = -3102*l + l**c + 1545*l - 8 + 1550*l. Let a = 16 - 9. Give z(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*p + 496 = -69*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -367857082 times -0.3?\nAnswer: 110357124.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjtt when four letters picked without replacement from {k: 4, t: 7, d: 2, j: 5}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6350891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8360.138 micrometers to centimeters.\nAnswer: 0.8360138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4493832 by -4.\nAnswer: 1123458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93273.\nAnswer: 3, 31091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iji. Give prob of sequence ij.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 14*f**2 + 3*f + 35. Let h = 15010 - 14996. Calculate y(h).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19546 + 19548. Let z(a) be the first derivative of 13 + 32*a + 4\/5*a**5 + 8*a**x - a**4 - 8*a**3. Factor z(h).\nAnswer: 4*(h - 2)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 38. Let r be p\/((32\/12)\/(-8)). What is the greatest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 7599*x**2 - 6661944*x + 6669540.\nAnswer: 3*(x - 3222)*(x - 1)*(x + 690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(3014\/1204 - 25\/10). Let z = 415 + i. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697.556 weeks in minutes?\nAnswer: 7031364.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196931*l + 116820 = 195751*l for l.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 + 9506*i\/13 + 460992\/13.\nAnswer: 2*(i + 49)*(i + 4704)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - d + 32 = 0, 0 = 5*k - 9*k - d - 40. Let n = 210 + k. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -811*n**4 - 198*n + 679771 wrt n?\nAnswer: -3244*n**3 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -474804, -949590, -1424376, -1899162, -2373948?\n\"Answer: -474786*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 0.3, -3\/7, 0.01 in descending order.\nAnswer: 0.3, 0.01, -3\/7, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -0.2, 4\/29, 5, -17?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 240?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 2499?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a factor of 263901640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -804*t - 787*t + 67*t to the form p + w*t and give w.\nAnswer: -1524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2, 0, -1, 344, 5?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 6*g + 90. What is the remainder when g is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/18 or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106107 + 2121457\/20. Let g = 139\/4 + n. Factor -g*v**3 + 0*v - 3*v**2 + 0.\nAnswer: -3*v**2*(v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqigrr. What is prob of sequence igr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcd when three letters picked without replacement from lllfdclm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1228)\/91793)\/(20\/(-46))*(19 - -1).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -914 - c - 917 + 1831.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21496298, -21496297, -21496296, -21496295, -21496294, -21496293?\n\"Answer: j - 21496299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*n**2 + 216*n + 12980 wrt n.\nAnswer: 60*n + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -4. Let y = -5711.1 + 5711. Which is the third biggest value? (a) y (b) q (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3354, 13427, 30208, 53697?\nAnswer: 83894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 y when four letters picked without replacement from islsllsiisllssiyls.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 0, -6, 5, -2, 70.\nAnswer: -6, -2, -1, 0, 1, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**1*p)*p**(3\/2))\/(((p*p**(-2\/3)*p*p)\/p)\/p**4)*(p\/(p**(-3)\/p)*p**1\/p)**(-39) assuming p is positive.\nAnswer: p**(-1157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 810*k**2 + 53592*k.\nAnswer: 3*k*(k - 154)*(k - 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413081842?\nAnswer: 2, 1693, 121997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16195 - -60254. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146 or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvavamg. What is prob of sequence vv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - b + 1. Let h(y) = -2*y + 1. Let g be h(-3). Suppose 5*q = -g + 22. Suppose -2*i = -4, -q*i + 14 - 3 = 5*c. Give a(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w**4 - 1\/20*w**5 + 0*w - 8*w**2 + 19\/6*w**3 + 0. What is the first derivative of y(i) wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17582, -65548, -145490, -257408, -401302, -577172?\nAnswer: -785018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgmmmggmwgmmgmmwmg. Give prob of picking 3 g.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 25 = -0*o - o, 2*z - 280 = 5*o - 285 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47086*z**5 + 3*z**3 + 2*z**2 - 1087577*z wrt z?\nAnswer: -2825160*z**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95823 - -18371. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*((-760)\/30 + (16 - 0))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*q = 131, 0 = -u - 0*u - 2*q + 47. Let d(x) = x**3 + x + 26. Let j be d(0). Let m = u - j. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*v - 4. Find the first derivative of -32*a**4 - 8 - 7 + 54*a**4 - v wrt a.\nAnswer: 88*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -1)\/(9 + -8). Suppose -6*m + 1054 + 92 = g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/((-59)\/((-13806)\/(-572)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/7))\/l)**(-2\/73)\/((l\/(l\/l**(-10)))\/l*l**6) assuming l is positive.\nAnswer: l**(2559\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:29 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*5 + (sqrt(13) - sqrt(104)\/(sqrt(8)*-3 - sqrt(8))) - (sqrt(325) + -1 - (5*sqrt(1573) - sqrt(13))))**2.\nAnswer: 381*sqrt(13)\/2 + 1887109\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677 (base 8) to base 3.\nAnswer: 121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00042262723 rounded to 6 decimal places?\nAnswer: -0.000423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 4, j: 3}. What is prob of sequence njn?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.446 + 2674.25?\nAnswer: 2725.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/4*64\/(-160). Which is the closest to -2\/7? (a) s (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/(-16) + 9\/(-6). Let d(i) = -2*i**2 - 23*i - 56. Let y be d(b). Suppose 4*t = 35 + 9. Is y less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3058594 hours to nanoseconds.\nAnswer: 1101093840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84985267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 33*z + 203. Give m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8afdd890 - 3?\nAnswer: 8afdd88d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:16 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**21*r)\/r)\/r**(1\/6))**(-8) assuming r is positive.\nAnswer: r**(-500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 157, 5\/13, 17, 133?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276917 to the power of 1\/2, to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwcwwwwccww. Give prob of picking 2 c and 1 w.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s*(s\/(s*s**(-3)*s))\/s))*(s*s*(s**(-11)\/s)\/s*s)\/s*(s\/(s*s**(-34)\/s*s*s))\/(s*s**17*s*s) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5\/2 - 249*k**4\/2 + 474*k**3 = 0. What is k?\nAnswer: 0, 4, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/15*((-19525)\/4260 - (-10)\/(-24)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257 - -815. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c + 2. Let p(o) = -540*o + 99. Let q(d) = 4*p(d) - 198*x(d). Let a(h) = -2*h. Give q(a(y)).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495*t = 498*t - 24. Solve 4*x + o + t = 0, 5*x + 4*o = 7*o - 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050702.9 < 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/42 and -163\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x + 7. Let q be t(7). Let a = 38 + q. Suppose a*w - 132 = -3*d, -5*d + 226 = -2*w + w. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71.328 + -1.358. Let m = j + -70. Which is the nearest to m? (a) 1\/2 (b) 3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.686 * -1\nAnswer: 0.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -2\/39 (b) -4 (c) -647 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13282601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1444271 - 26090244\nAnswer: -27534515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 1)*-2*(-5)\/10. Factor 0*u + 13*u**2 - 4 - 7*u**2 - 5*u - o*u**2.\nAnswer: -(u + 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19713155534 - 187?\nAnswer: 19713155347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxixxxxixiixxixxci. What is prob of picking 2 x?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -5*q. Let j(i) = -i**2 + 2*i + 2. Let l be j(q). Let c(g) = -g + 1. Let d be c(-3). Solve -n = l*f + 1, -2*f + d*n - n = -19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -7*s + z + 13, 0 = -4*z - 12. Let j be -1*(0 + s\/(-5)). Solve -x - 15 = 4*x - 5*c, 0 = -x + 2*c - j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 7 - (-3 + (-10 - -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29600, -29594, -29578, -29546, -29492, -29410?\nAnswer: -29294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2 + 3) + 5. Let j(x) = x**2 - 5*x - 3. Is j(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6440 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 12. Solve -k - 1 = 2*z, k = -x*z - 3*z + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 1648.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 49. Let k(v) = v**2 - 5*v - 2. Let n be k(5). Let x = n + 2. Solve -z + c*z = x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 1:38 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 153349771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, o: 5, g: 8}. Give prob of picking 1 u and 1 o.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 23*u**2 - 23*u - 29. Let t be y(24). Let d = -2 + 4. Suppose -d*k + 13 = -29. Sort k, 1, t in decreasing order.\nAnswer: k, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 281045523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 2:22 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-74)\/26 + (-39)\/((-507)\/(-2)). Put 12, w, -59 in ascending order.\nAnswer: -59, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*h - 3*h + 2*h**2)*(-6*h + 3*h + h) + 0*h**3 + 8*h**3 + 3*h**3 + 7*h**3 + 1 - 1)*(2*h + 1 - 1) to p*h**3 + o*h + x*h**2 + r*h**4 + t and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194\/91 - 15\/13. What is the common denominator of s and -65\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from xmssossoofxxxh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/10))\/(m**17*m))\/((m*((m\/m**(-23))\/m)\/m)\/m*m**(3\/25)) assuming m is positive.\nAnswer: m**(-1961\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 1, d: 2, e: 1, b: 1, h: 1}. What is prob of sequence ke?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3692 + 6798. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2882805 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2311*h**3 - 2306*h**3 + 4620*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.514 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12476, 49832, 112102, 199286, 311384?\n\"Answer: 12457*d**2 - 15*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -901 + 3603\/4. What is the third biggest value in 1.8, f, -2, 0.035?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1934 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1358.6638 and 29.\nAnswer: 39401.2502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiii when four letters picked without replacement from {u: 9, i: 5}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(9\/7))*r*(r*r**(1\/15))\/r)**(-5\/18) assuming r is positive.\nAnswer: r**(-176\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83352 and 1?\nAnswer: 83352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000045338 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 + 2 + 23*f**3 + 315*f**2 + 318*f**2 - 636*f**2 to o*f**2 + y + z*f**3 + w*f and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 360 = 6*f. Let v = f - 790\/11. Is 0 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.798 and -0.274.\nAnswer: 2.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**(-1\/25)*r))\/r)**36)**(2\/107))**21 assuming r is positive.\nAnswer: r**(-36288\/2675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -162693 - 33416474.\nAnswer: -33579167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (600\/700)\/((-16)\/14)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(462)*4)\/sqrt(11))\/sqrt(6).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0392 and 20.\nAnswer: 20.0392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 425435 and 12305.\nAnswer: 1046995535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 233*p - 158. Solve -8\/3*d + 0 + 5\/3*d**3 - 6*d**p = 0.\nAnswer: -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37316 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.803, 2\/15, 2, 3.\nAnswer: -1.803, 0, 2\/15, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 850357927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 5. Let o = 4 + -6. What is the remainder when 13 is divided by (7\/h)\/(1\/o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*k + 16 = -9, 4*k = 5*q - 167. Suppose -4*a + q + 40 = c, c - 53 = -3*a. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/(-79))\/(5*((-7)\/6)\/7).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -56*k - 88. Let d be j(-3). What is the greatest common divisor of 120 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + 42. Let k = -22.31 - m. Let z = k - 4.69. Which is the fourth biggest value? (a) z (b) 0 (c) 3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 bigger than 11716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*h + 17. Let n = h - -59. Suppose -92 = -5*r + 4*m, -4*m + n = 5*r + m. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 0, -2 = -3*w + 2*r + 13. What is the second biggest value in -2\/9, 10, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5 equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 224416*a**5 + 231887*a wrt a?\nAnswer: 4488320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 640888.8g?\nAnswer: 640888800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z + 17*z - 5*z - 6*z. Let d(w) = -26*w. Determine d(m(p)).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 5*i. Let a = 170 - 170. Let m be w(a). Solve 4*r - z - 20 = 0, r + m*z - 16 = 3*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-10*a - 9*a - 6*a)*(4 - 1 - 1) + (3 - 2 + 1)*(-2*a - 1 + 1) - 4 + 4 - a)*(-1 + 2 + 0)*(-5*a**4 + 5*a**4 + 10*a**4).\nAnswer: -550*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 - ((3 - (27 + 0)) + 20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -3 (b) 2\/9 (c) 3.52 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-9660)\/2576*(-2)\/(-3))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.37 + -0.17. Let j = -6 - -6.3. Which is the smallest value? (a) o (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 387, 547, 677, 771, 823, 827, 777?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-2))\/(1\/102). Let f(y) = -72*y**3 + 2*y**2 - y - 6. Let b be f(-3). Suppose -5*v = -x - b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnooooq. Give prob of sequence qn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092307983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 996 + -1005 - (0 - -1 - (8 + -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/386 + 1151\/2702. Let k = 2 - 2. Factor g*l + k + 3\/7*l**2.\nAnswer: 3*l*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.159 + -0.059. What is the third biggest value in d, -0.3, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50, 112, 200, 326, 502, 740?\n\"Answer: 2*k**3 + k**2 + 45*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4779559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-1)\/sqrt(4).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1870020, -1869738, -1869456, -1869174?\n\"Answer: 282*s - 1870302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 334*g**4 - 812 wrt g.\nAnswer: 1336*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/7 + 2994*t**3\/7 - 654138*t**2\/7 + 3844206*t\/7 - 5726052\/7 = 0. What is t?\nAnswer: 3, 258, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 1079*t**2 + 852*t**2 - 444*t**2 - 11 as r + j*t + q*t**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 1 + 3)*(-38 + 163*b**3 + 38)*(-1 + 0 - 3).\nAnswer: -8476*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0299 + 0.1701. Which is the third smallest value? (a) 3 (b) -2\/5 (c) 1\/9 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262026 times 0.2?\nAnswer: -52405.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, 1, -4, -18, -8 in decreasing order.\nAnswer: 1, -4, -8, -18, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2632314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3177 + 3182 + 3196 - 9555 + 166617*l)*(-4 + 0 + 3) to b + x*l and give x.\nAnswer: -166617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16 = -0*d. Suppose -w + d*w = 33. Let f be -2*1*w\/(-2). Solve f = 2*u + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 2)*(-3 + 3 - 2) + 1 + 4 - 3 + 1 + 0 - 2)*(-8*s + 3*s - 2*s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214344.\nAnswer: 2, 3, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -10. Which is the closest to 1? (a) -2 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**6\/720 - r**5\/80 - r**4\/24 + 3*r**3\/2 + 2*r. Let u(a) be the second derivative of v(a). Factor u(f).\nAnswer: -(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-54)\/(-7) + 8\/28. Suppose 3*z = 7*z - q. Is 5 + 154 + 2 + z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 2, -0.2, -5\/4, 0.2, -15.6 in decreasing order.\nAnswer: 2, 0.2, -0.2, -5\/4, -15.6, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -27. What is the third biggest value in 0.4, t, -5, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -60 and -62 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6\/11)\/(w*w*w*w**(1\/20)\/w*w*w))**(-2\/23))**13 assuming w is positive.\nAnswer: w**(13143\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -2677.3 and 1674176.\nAnswer: 1671498.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 10, 2, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05212 - -12239.55212. Round i to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -7. Calculate the remainder when 51 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39032065 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/5)\/i*i)**(-36)\/((i*i**(-1\/19)\/i)\/i*i**16) assuming i is positive.\nAnswer: i**(1316\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 37. Let q = -2 + -7. Let d = -6 - q. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -511 and 5765 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 2*j**2 + 4*j + 3. Let a be f(-3). Suppose -40*s + 44*s - 20 = a. Solve -s*x - 4*t + 8 = -1, 3*x + 1 = -4*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.2. Let c = -0.11 - 0.09. Let j = c - t. Sort -1\/3, j, -5.\nAnswer: -5, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.1. Which is greater: y or -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 0*c**3 + 7*c + 0*c**3 - 7*c**2 + 7 - 18. Let q be w(-8). Let s = q + 43\/15. What is the smallest value in 0, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 2. Let q be p(-7). Suppose -9 = -q*n + 6. Solve n*v - v = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 2, x: 1, f: 2, o: 1}. What is prob of picking 2 f and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 412949 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.061 + 3.039. Let y = 7 + -4. Let l = y - b. Sort 2\/11, 2, l.\nAnswer: l, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*l - 2, 5*l + 1 - 2 = -u. Let m be u\/3 - 850\/(-15). Suppose -j - m = -4*j. Calculate the highest common factor of j and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 11*b - 23417 = -15*b, b - 23408 = -5*s. What are the prime factors of s?\nAnswer: 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.763 + 14.763. Which is the smallest value? (a) 7 (b) -1\/8 (c) u (d) -0.04 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674522?\nAnswer: 2, 3, 41, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70885507 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -21.2. Let m = -0.22 - -0.29. Is m greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/15)\/(12\/(-36))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3030030 (base 4) to base 11\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36, 6, -34, -90, -168, -274, -414?\n\"Answer: -w**3 + w**2 - 26*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(3\/(-8)*-4). Let r(w) = -4*w**o - w**3 - w**2 - 2 + 4*w**2 - w. Does 10 divide r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, m: 1, o: 3, d: 2, x: 3, s: 1}. What is prob of picking 1 o, 2 x, and 1 s?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**5\/40 + 40*o**3\/3 - 41. Let y(q) be the third derivative of d(q). Let h(t) = 3*t**2. Give y(h(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19232, 19234, 19236, 19238, 19240?\nAnswer: 19242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 5. Let i be -3 - 5 - (1 + -3). Let l be g(i). Round l to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 0*n**2 - 3*n + 3*n**2 + 15*n - 16*n.\nAnswer: -n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2, -4\/3, -16?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 8*k**4\/3 - 2*k**3\/3 - 2*k**2 + 104*k. Let f be t(-1). Calculate the greatest common divisor of 32 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3\/7 - 45*i**2\/7 + 144*i\/7 - 132\/7 = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1843713*g**3 - 20*g**2 - 10*g**2 + 1843716*g**3.\nAnswer: 3*g**3 - 30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2) + (-7)\/(98\/52).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)*i)\/(i*i*i**(3\/5)*i))\/(i*i*i\/((i\/(i**(-2\/3)\/i))\/i)*i)**36 assuming i is positive.\nAnswer: i**(-448\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584209859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16548135 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.4 - 8. Suppose -2*y - 25 = -0*y + 3*h, 3*y - 3*h + 75 = 0. What is the nearest to -1 in y, -1, -4, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5044a - 2a98?\nAnswer: -53437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 688 + -684. Let d(m) be the third derivative of 0 + 2\/9*m**3 - 6*m**2 + 1\/90*m**5 + 0*m + 1\/12*m**a. Determine x so that d(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -18508*c - 73757. Determine b(-4).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2 (c) -4\/3 (d) 1 (e) -4 (f) 505.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 93*l**4\/4 - 2*l**3\/3 - 3*l**2\/2 + 5229. Let s(y) = 31*y**3 - y**2 - y. Determine 3*c(d) - 8*s(d).\nAnswer: 31*d**3 + 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 597 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4071, 16376, 36901, 65640, 102587, 147736, 201081?\nAnswer: 262616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2573 - -0.269. What is x rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = w - 4*q - 15, -5*w + 4*q = -96. Let h = w + 26. Calculate the remainder when h is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*(-18)\/60.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(104)\/(sqrt(24)\/sqrt(3) + sqrt(8))) + (5*(sqrt(13) - sqrt(13)*2))**2.\nAnswer: sqrt(13)\/2 + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*5\/(-10))\/3*12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 470 - 473 - -1*23 and 5060.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28\/33 (b) 4059 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*m**2 - 1 - 89*m**6 - 343*m**3 - 337*m**3 + 680*m**3 wrt m.\nAnswer: -10680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -29\/5*f**5 + 2 - 37\/2*f**3 + 0*f**2 - 1\/12*f**4 - 40*f. Find the second derivative of w(b) wrt b.\nAnswer: -696*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962969285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29488 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 k, and 1 u when three letters picked without replacement from {p: 2, u: 3, c: 1, a: 6, k: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - v - 4 + 5 + (6*v - 2*v - 3*v)*(1 - 1 - 2) - v + 0*v + 2*v.\nAnswer: -2*v + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836702 is divided by 27866?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7569 + 11581. What is the highest common factor of f and 708?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2330727 and 615?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 32041430 (base 5) to base 3\nAnswer: 111122010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -3\/11 (c) -1\/4 (d) -1 (e) -2 (f) 656\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aacayykak.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5622 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7680 and 153600.\nAnswer: 153600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 14*k - 16. Let n = 13 - 18. What is the third biggest value in -1, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*m - 3456, -m + 3*u - 2*u = -1152. Calculate the common denominator of 23\/48 and 4\/3 + 3000\/m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 2. Let j be -2 - 0 - (2 + 0). What is the remainder when 28 is divided by i(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 40*u**3\/3 - u**2\/2 - u + 5. Let x be d(-1). Find the second derivative of -x*q**4 + 40*q**4 - 2*q**5 - q wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48368630?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 257735 minus 149?\nAnswer: 257586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of (6\/(-4))\/(213\/(-2392132))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53353037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/6, 4\/109?\nAnswer: 4\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 3*d**2 - 3*d + 1. Let r(w) = 5*w - 4. Let z(h) = -4*h + 3. Let o(u) = 2*r(u) + 3*z(u). What is -2*k(s) - 7*o(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000309886 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31189*g**3 + 4*g**2 + 4*g + 2349?\nAnswer: 187134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2570, 2567, 2564, 2561, 2558, 2555?\n\"Answer: -3*k + 2573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/8 - 5*i**3 - 40*i**2 + 4. Give c(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 2*h - 5*v, 3*h - 242 = v - 3*v. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*m**2 - 1162*m + 1162*m + (2*m - 3*m + 0*m)*(0*m - m - m) - 2*m**2 - 2*m - 3*m**2 + 3*m**2.\nAnswer: -69*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 - 101. What is the third biggest value in -3, o, 0.2, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/(-15) + (-6)\/(-9). Let n = -7 + 7. Solve 0 = l*x - n + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.720742 and -19341.\nAnswer: -19340.279258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*i**2 - 5*f**2 - 10*f*i + 1184*i**2 wrt f?\nAnswer: 2*f*i**2 - 10*f - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -16. Let u = 33 - m. What is the remainder when 30 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13301918 is divided by 2181.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263695096?\nAnswer: 2, 7, 4708841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83.17176 - -10.82715. Let r = -106.7 - -12.7. Let l = r + n. What is l rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*c + 32, 0*c = 3*u + 2*c - 22. Let n be 22\/3 - (2\/u + -1). Suppose 72 = -n*y + 4*y. Is -19 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3897 is divided by 1245?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.64 - -26.24. Let p = f + -23. Let l = 3 - p. Which is the nearest to 0.1? (a) -2 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1731667918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112201102122 + 10?\nAnswer: -112201102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - -1. Calculate the remainder when f is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 8 = t. Suppose 26257950 + 2442050 = -t*k. Round k to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224731924.\nAnswer: 2, 19, 2956999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 4:26 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43840*i**5 + 263*i**3 - 180879688*i**2 wrt i?\nAnswer: 2630400*i**2 + 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54\/19 - -31\/76. Find the common denominator of -43 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75156 is divided by 18786?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.03, -0.03, -0.4, 3\/8, -12\/23?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524461 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.488711 days in hours?\nAnswer: 35.729064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = -k + 4*o, -7*k + 9*k + o = 437. Let x = k - -338. List the prime factors of x.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*p*y**3 - 38979765*p*y**2 - 1926*y**4 wrt y?\nAnswer: 360*p - 46224*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -2799 (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*x - 763, 5*d = -3*x + 28 + 942. Let f = d - 988\/5. Let a = -82 - -572\/7. Sort -2, a, 5, f.\nAnswer: -2, f, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*r**2 - 3 + 788*r**2 - 443*r**2 + 3.\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 396.864 - 460.03. Let f = z + 63. Let a = -0.08 - f. Round a to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 + 911*t\/4 + 8835\/2.\nAnswer: -(t - 930)*(t + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*q**3 + 43*q**3 + 2 - 25*q**2 + 0 + 47*q**3 - 155*q**3 to the form f*q**3 + k*q**2 + n + m*q and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25556 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: Suppose -54*c + 70*c - 114224 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c5 + -4?\nAnswer: 3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7315 + -1.24176\nAnswer: -7316.24176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*w + 19*j - 20*j, -3 = -w - j for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -132?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -2 + 40 + 9. Solve 49 = 2*n + j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 - 360 = -6*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 + 1235\/171\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c = 24*c. Let w be (4\/6)\/(1\/3). Let u(s) = c*s**w - 7 + 4 + s**2. Give u(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 - 11493158*l**2\/7 - 13135056*l.\nAnswer: 2*l*(l - 5746587)*(l + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8d - 16?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9128, 9125, 9120, 9113, 9104, 9093?\nAnswer: 9080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 314, 299, 280, 263, 254, 259?\n\"Answer: w**3 - 8*w**2 + 2*w + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 + 3365*o**2 - 3*o + 467*o**2 - 716*o**2 - 117.\nAnswer: 3116*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2924 divided by -43.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/6 + 555\/10. Let f = -54 + x. Suppose -3*b = 2*h - 540, h - 540 = -3*b - f*h. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 4. What is the third smallest value in -5, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77058961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - t**4 + 5*t**4 + t - 2*t**2 + 135*t**3 - 136*t**3 to u*t**2 + f*t**4 + z*t**3 + b + n*t and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -26. Let c = -8 + s. Let n = 14 - c. Calculate the greatest common factor of n and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*a = 30, 0*a = 2*z + 5*a + 3. What is the third derivative of 2*s**3 - 1454*s**z + 1463*s**6 - 4*s**2 + 4 - 1 - 5 wrt s?\nAnswer: 1080*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 9*m**2 + 8*m + 1. Let l be g(8). Is 1*(-3)\/l - -260 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**3 + 2*z**2 + 4. Let m(t) = t**3 - 1. Let d(f) = -f**2 - 22*f - 95. Let r be d(-16). What is r*j(g) + 5*m(g)?\nAnswer: -2*g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m + 894 - 686 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 1789880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/20 + -3 + (-34)\/(-10).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) - (-69)\/9. Solve -i - b = -a, -8 = -3*a + a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 - 7*y**3 - 3*y**3 - 247*y**2 + 247*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11970 and 210?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 423 + -428. What is the nearest to -1 in g, -2\/3, -0.1, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0 + 6*p + 0*p**3 + 3*p**2 - 1\/20*p**5 - 1\/12*p**4. Is g(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpuknepekkpp. Give prob of sequence eq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - ((-5806)\/(-1188) - 0). Let k = p - 10\/11. Find the common denominator of -49\/2 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2. Let c(i) = 78*i**2. Calculate c(w(q)).\nAnswer: 702*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4876 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21492 (base 12) to base 4.\nAnswer: 22231232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -94338.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 14. Suppose -4 = 2*f + 4*x, -w*x - 2*x - 60 = -5*f. What is the units digit of (-3 - -1*(3 + 1))*f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25849549?\nAnswer: 11, 2349959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by -2373.\nAnswer: -43\/2373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000243004944 to 7 dps.\nAnswer: -0.000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 2\/7 (c) 1\/3 (d) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -90, 4, 12, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**14\/k**22)\/(k**5)**(-7))**(-10) assuming k is positive.\nAnswer: k**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*a**4 - 3\/2*a**2 + 3\/2*a**3 - 3 - 11\/2*a = 0. What is a?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 + 329 = 38*d + 22*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is the next term in 584, 1098, 1612, 2126?\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*3\/6 - -6. Let j(d) = 12*d - 8. Let v(r) = -25*r + 16. Let g(s) = 9*j(s) + 4*v(s). Let y(z) = -7*z + 7. Calculate p*g(t) + 6*y(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 18*v**3 + 4*v**2 + 14*v + 36. Let a be r(-4). Let l = -647 - a. Calculate the remainder when l is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 40 - (-61 - -153)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w**5\/7 - 3*w**4\/7 + 36*w**3\/7 - 15*w**2\/7 - 6*w\/7 = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 77) + (-278 - -317).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6748 divided by 2?\nAnswer: -3374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 123*q - 127*q + 52. What is the remainder when 127 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 264 - 534 - b**3 + 2*b**4 + 269 + 222*b**2 - b + 0*b**3 to y*b + o*b**3 + g*b**4 + h*b**2 + k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 8:28 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:03 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49, 60, 71, 82, 93, 104?\n\"Answer: 11*r + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u + 1. Let q be r(2). Let t be ((-21)\/q - 3)*-9. What is the units digit of (-2 - (-33)\/t)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22414, 22470, 22622, 22918, 23406, 24134?\nAnswer: 25150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198455 is divided by 525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**2 + 2*c + 15. Is 7 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/(-9)*3\/(-1). Let y = u - -1. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -165\/8, -0.03 in decreasing order.\nAnswer: 2\/17, -0.03, -165\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 7*h**3\/3 + 4*h**2 + 3*h + 57. What are the prime factors of k(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 35*u = 16*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 69*q + 112 = 81*q, 0 = -w - 5*q + 30 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/20*((-9)\/(-24) - 1). Let u = -17 + 37. What is the closest to 0.1 in u, t, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691 - 1010 = -7*s. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1866637, 3733276, 5599915?\nAnswer: 7466554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -16842, 3.09, 5?\nAnswer: 3.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2231 from 68332.46.\nAnswer: 70563.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1. Let v(l) = -8*l + 3. Let x = 11889 + -11888. Give x*v(b) + u(b).\nAnswer: -8*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485699239.\nAnswer: 485699239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3218129 or -3218123?\nAnswer: -3218129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 4314 - 4446 = -0*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -59\/7 (b) -3 (c) -0.3 (d) 3\/4 (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147378 is divided by 1989.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 17, 22, 39, 74, 133, 222?\n\"Answer: d**3 - 3*d**2 + d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, l: 3, n: 1}. Give prob of sequence qln.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 6:06 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11))**(-2\/5)\/((m*(m\/m**(4\/13))\/m)\/(m*m**(-5\/3))) assuming m is positive.\nAnswer: m**(-3071\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 125?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p - 9. Let o be 3\/((-3)\/(-6)*p). Let 7*h**4 - 4*h**4 - 4*h**4 - h**o + 2*h**3 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*-4 + 3.\nAnswer: -32*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 748 and 83336?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.4 - 202.4. Let x = y - -192.1. Let a = -11 + x. Put 5, -2\/3, a in decreasing order.\nAnswer: 5, a, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbazkobbqzkbbbbbzb. What is prob of picking 1 b, 1 q, and 1 o?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-3 + 273\/45 - 3). Let q = m + 56. Let u(c) = c + 3. Calculate the lowest common multiple of u(6) and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 208 - 8 = 4*d, -4*y = -5*d + 250. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nneeeeeee. Give prob of sequence eee.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n + 0 + 0)*(2 - 3 + 0) - 2*n + 0*n + 0*n - 10*n - 14*n + 21*n + 2*n + 0*n - 4*n)*(2*n**2 - 3*n**2 + 2*n**2).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-4) - 1\/4. Let a(o) = -5*o**p - 1 - o**2 + 1. Let i(t) = -3*t**2 + 8*t. Let c(u) = -u**2 + 3*u. Let k(l) = -8*c(l) + 3*i(l). Give k(a(q)).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 23 - 9 = 0. Let j be ((-1412)\/t - -2)\/3. Let o = j - 59. Which is the second biggest value? (a) 1 (b) -0.7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975*d + 945*d + 4 - 430*d.\nAnswer: -460*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-12401 + 12401 + 10*n)*(-2 - 2 + 8)*(1 - 1 - 3) + (1 + 2 - 2)*(-3 - 2*n + 3))*(13*n**2 - 4*n**2 + 2*n**2).\nAnswer: -1342*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380962251?\nAnswer: 23, 60041837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(189))\/sqrt(7) + sqrt(18)\/sqrt(6)*4 + 5).\nAnswer: 20 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -665 - -668. Solve 3*w + h = -7, -5*h - r = -28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*x - 204 = -3*x. Let s be ((-4)\/(-64)*4)\/(7\/12). Let i be (-2)\/(-6) + 1 + -1. What is the closest to x in i, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + -3 + sqrt(2) + (sqrt(2) - -2*sqrt(4)\/sqrt(2)))**2 - (sqrt(686)*1 - sqrt(686))\/(3*sqrt(112) + sqrt(7)))*-1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56337 and 801?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-7\/9))\/(r**33*r)*(r**(-9\/4)\/r)\/(r\/(r**(-33)\/r)*r) assuming r is positive.\nAnswer: r**(-2537\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (104\/84)\/(11\/((-1617)\/(-42)))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353571771.\nAnswer: 3, 7, 31, 467, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*c**4\/5 - 87*c**3 + 222*c**2\/5 + 2316*c\/5 - 72 = 0. What is c?\nAnswer: -2, 2\/13, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0 (b) -3\/16 (c) 0.06 (d) 11 (e) 13 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/2 - r**3\/2 + 2*r**2 + 2*r = 0. Calculate r.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3122 + -6?\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kykkyzyyky.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/2, -550, -3.2 in ascending order.\nAnswer: -550, -7, -3.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 116 = -4*v. Let q = 24 - v. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 3 (c) -1 (d) -14 (e) -5 (f) -0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-4) - (-952)\/(-88) - (-8)\/(-44)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*o + 448*c*o**3 + c + 12977*o**3 wrt c.\nAnswer: 2*c*o + 448*o**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-22) + 316\/(-44). Let w be 27\/(-21) + (-2)\/h. Let q(c) = 9*c**3 + 2*c**2 - 1. Calculate q(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 11*l + 2. Give u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - w = -5*w + 13, -3 = -l + w. Let x be 5\/l + 2 - 3. Suppose -2*p - 5*r = 28, x = -3*p + r - 3*r - 20. Put 3, p, 0, 2 in descending order.\nAnswer: 3, 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrrssrr. What is prob of picking 3 s?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 - (-8 + 14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5191*d**2 - 11*d + 80. Let n(h) = -1730*h**2 - 4*h + 29. Determine -4*l(g) + 11*n(g).\nAnswer: 1734*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 51.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 568, 1009, 1730, 2731, 4012, 5573?\n\"Answer: 140*b**2 + 21*b + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + (sqrt(272) + -1 + sqrt(272) - sqrt(272))*-4 + -3)**2*3.\nAnswer: 480*sqrt(17) + 13131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 + 168. What are the prime factors of ((-39)\/(-4))\/(x\/(-760))?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.7 + -22.8. Which is smaller: h or -2\/21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7758 and -0.5.\nAnswer: -1.2758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12 = 3*o, 7 = 2*o - 0*z - z. Suppose -o = -0*w - w. What are the prime factors of -3*10*(-1)\/w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5837 - 0.4837. Which is the nearest to m? (a) 0.5 (b) -13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l**2 - 4*l**2)*(156*l - 88*l + 167*l).\nAnswer: -470*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*s - 538*s - 146*s = -76804 for s.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = 3*h, l - 16 = 2*l + 4*h. Let t = 0.011 - -27.989. Let b = -23 + t. What is the biggest value in 0.4, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6837 is divided by 2260?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496936747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8974903 minutes in microseconds?\nAnswer: 53849418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-1 + sqrt(13))**2*-2 + sqrt(637)*-3.\nAnswer: -21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-173*x + 4 + 91*x + 97*x)*(-3*x**3 + x**3 + 0*x**3) in the form n*x + s*x**3 + p*x**2 + r + i*x**4 and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2 (b) -3\/4 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/12 + 6*u. Let h(j) be the first derivative of -8*j**3\/3 + 2. Calculate h(k(z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 227*g**4 + 3652*g**3\/3 + 7489*g. Find the second derivative of p(q) wrt q.\nAnswer: 5448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 919, -135, 3 in descending order.\nAnswer: 919, 3, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*d + 2*t, 2*d + 8 = -3*d - t. Let x = 3 - d. Suppose 3*v - 2*v = -x. Sort -4, 0, v.\nAnswer: v, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -790, -1729, -2668?\nAnswer: -3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**1*a)*a)\/a)**25*a**(3\/8)*a\/(a\/(a\/((a*a**5\/a)\/a*a)))*(a*a**2*a)**(-2\/91)\/(a**(1\/6)*a*a\/a**(-2)) assuming a is positive.\nAnswer: a**(-71809\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 234211?\nAnswer: 234141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -683*n + 671*n + 3*i, -i - 1 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3194*z**2\/17 + 6148*z\/17 + 480\/17 = 0. Calculate z.\nAnswer: -120\/1597, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3))**(-36)*(b**(-1\/4))**(-44) assuming b is positive.\nAnswer: b**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t + 277 + 568 = -33*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**4 + 276*y**3 + 792*y**2 - 16*y - 1056 = 0.\nAnswer: -66, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*z, 2*y + 4*z + 5 = -7. Let a(x) = -2*x - 5. Let l be a(y). List the prime factors of l - -26*1 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 240129.1 millennia?\nAnswer: 2881549200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -137.297639 to zero dps.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, 1020175, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2421 divide 600397628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 22*c**3 + 2*c**2 - c - 7. Let v be b(-3). What is v rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 12*l**2 + 13637*l**3 - 211*l**4 + 186*l**4 - 1 - 13635*l**3 in the form q*l**4 + o*l**2 + w*l + h*l**3 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(-w - 3 + 3) + (-6 + 7 + 3)*(3*w - w + 0*w)*(-4 - 3 + 1) to the form q*w + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Three letters picked without replacement from {k: 3, p: 3}. Give prob of picking 3 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1381*r + 855*r = 983*r + 983*r - 89712 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 4*m**3\/9 - 2*m**2\/3 - 8*m + 23. Suppose q(z) = 0. What is z?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 14. Suppose -23*k + 18*k = 5. Let l be -8 + 4\/(6\/3). Let c be 0\/k - l\/(-1). Calculate v(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 207 - 1081*v + 1075*v - 27 in the form z + l*v and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -26 - -36 - (-1 + 4 + 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*k + 5*k. Let m be k - (-1 + (-1 - -2)). Let z(s) = 3*s**3 - 2*s**2. Let b(y) = -7*y**3 + 5*y**2. Give m*z(r) - 2*b(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**6))\/o)\/(o\/(o\/(o\/(o*(o*o**19)\/o)))) assuming o is positive.\nAnswer: o**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3081)\/(-6))\/((-24921)\/3834).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10169 (b) -12\/17 (c) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.96 + 40. Let b = 38.04 - d. Let n = b - 38.1. Put -0.14, -3, n, 2 in ascending order.\nAnswer: -3, -0.14, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13\/7)\/((a\/a**(-15))\/a))\/(a**(7\/3)*a**(-4\/31)) assuming a is positive.\nAnswer: a**(-12409\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1014.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/12 - 2*t**2 + 26*t. Calculate l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3754 is divided by 1871.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 0*j - j)*(0*j + 0*j - 2*j) - j + 2*j**2 + j - 770596 + 3694*j**2 + 770596 - j + j + j**2 as y*j**2 + q*j + x and give y.\nAnswer: 3701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 26*o**2 - 221*o**2 + 0*o - 2*o**2 - 7*o to the form x*o + c*o**2 + p and give c.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 5*n)*(-7 + 5 + 4 + (-1 - 1 + 1)*(0 + 2 - 3)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) - (-10)\/(-14). Suppose 33 = 3*l - 2*l. List the prime factors of (y - 1)\/((-6)\/l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 18044*b - 288701. What is x(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -8. Does 9 divide (8\/f)\/(2\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245 - 2692\/11. Find the common denominator of -91\/160 and z.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)*l*l**1*l*(l**1)**15)\/((l**(2\/3))**(-4\/5)*l*l**(2\/21)*l*l\/(l**(2\/13)*l)) assuming l is positive.\nAnswer: l**(67034\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.063258 (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 539*r**3 - 493*r**2\/2 + 799*r. Find the first derivative of i(s) wrt s.\nAnswer: 3234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 259\/2 + -148. Let o = -15195\/2 - -7593. What is the common denominator of o and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 18*n = 90. Calculate the remainder when 35 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**4\/6 - h**3\/6 + h. Let d = 1164 - 1118. Let c(t) = 7*t**2 - d*t**2 + 37*t**2. Determine j(c(o)).\nAnswer: 8*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - p - 9. Let m(v) = -v**2 - v + 1. Let u(z) = h(z) + 5*m(z). Let g be u(-4). Let j(q) = -q**3 + 0 + 3*q - 2*q**2 + 5*q**2 - 1. Calculate j(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2057795 is divided by 215?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51, -105, -159, -213, -267?\n\"Answer: -54*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 v when four letters picked without replacement from vvcvvvcvcv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 44 - 68. Let f = l - 89. Let q be (113 + 2)*8\/10. Calculate the highest common factor of f and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6 + (-7)\/2*-1. Suppose -k*n = -0*n + 3, 5*s + 1587 = -2*n. What is the tens digit of (s + -1)*2\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - j + 3. Let m = 14 + -9. Suppose -14 = 2*h + m*h. Let t be c(h). Put 0, -5, t in increasing order.\nAnswer: -5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 1467*k**3 - 175617*k**2 - 915135*k.\nAnswer: -3*k*(k - 247)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*u**4 + 2*u**2 + 9 wrt u.\nAnswer: 1008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16100 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-3600)\/208 + 5\/(-5)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -6 - 2, 5*i = 2*r + 8583. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t, -4*k - 17*t + 16 = 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17113 - 10059. What are the prime factors of i?\nAnswer: 2, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/9 in -2\/15, -1, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 215314453 - -1052?\nAnswer: 215315545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16\/3, 4, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and -7.78.\nAnswer: -427.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-504)\/(-5)*70\/14. Suppose -4*c + i = -4*v, -5*v + 20 = -0*v. Suppose 8*y - 78 = c. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -11. Suppose 0 = -f + u*f - 5. Solve 1 + f = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.57528 minus 0.4?\nAnswer: -23.97528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 94*l**2 - 622*l - 41258. Calculate g(-96).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-207)\/(-345))\/((-105)\/(-8225)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 9*i - i)*(-3 + 3 - 2).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2011, 2013, 2015, 2017?\n\"Answer: 2*h + 2009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-3 + 0 + 1)*(20*l - 11*l - 12*l).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170.0209 + -170. Round f to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-460)\/40)\/(21\/(-42)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 63884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6746 and 29332.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - -1*(sqrt(91) - ((sqrt(91) - sqrt(91)*3) + sqrt(91))))\/(sqrt(567)*-3 + sqrt(567)) + (5*(sqrt(39)\/sqrt(3)*4 + sqrt(13) + -1 + 5))**2.\nAnswer: 5999*sqrt(13)\/6 + 8525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - p - 6. Let v be (12\/4 + 2)\/(-1). Let o(n) = -n**2 - n - 5. Calculate v*w(i) + 6*o(i).\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 834893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6358917786 to the nearest integer?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(363) - ((sqrt(363) - (sqrt(363) + -1 + sqrt(363))) + sqrt(363)))*-1)**2 + -3)*6.\nAnswer: -1188*sqrt(3) + 19638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014993 to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:37 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 301*g - 295*g. Let q be 49\/5 + 11*g\/220. Put -5, 2, q, -3 in increasing order.\nAnswer: -5, -3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + 5*x + 4. Let b be 2 - 4 - 2\/(-2). Let a(p) be the first derivative of p**3\/3 + p**2\/2 + p + 3. Give b*i(f) + 6*a(f).\nAnswer: 2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75053094 - 150106185 + 75053091 - 3*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let u(p) = 3*p**2 + p. Let z(c) = 3*c**2 + 2*c. Let m = 401 + -403. Let r(n) = m*z(n) + 3*u(n). Give i(r(t)).\nAnswer: -3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 107229 divided by 6?\nAnswer: 35743\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226324 and 1003?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.025927 and 24.336.\nAnswer: 24.361927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**2. Let v be (2\/5)\/((-9)\/(-270)*6). Let o(d) = -76*d**2 + 43*d**v + 24*d**2. Give o(r(u)).\nAnswer: -576*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13543 + -1334?\nAnswer: -15077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + 1.64. Let u = -2 + k. Let q = -11 - -7. Sort -0.5, u, q in ascending order.\nAnswer: q, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93.7 + -93.3. Which is the biggest value? (a) 23 (b) -5\/4 (c) 0.5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9e91d (base 16) in base 7?\nAnswer: 5343406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/2 - 1093*t**3\/2 - 10829*t**2\/2 + 1093*t\/2 + 5415 = 0 for t.\nAnswer: -1083, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 - -101000110000010011010?\nAnswer: 101000110000011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**3*x**3*y + 26*a**3*x - 9*a**2*x**3 - 66*x**3*y with respect to y.\nAnswer: -5*a**3*x**3 - 66*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*w + 13*w + 34, 2*w = 9*v - 10*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/5 - 4*y**4\/5 - 6*y**3\/5 + 36*y**2\/5 - 27*y\/5.\nAnswer: y*(y - 3)**2*(y - 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -138*a + 6295. Give t(45).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67157353?\nAnswer: 89, 754577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 10 + 3*39. Suppose -m = -5*r + 530. What is the greatest common factor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 27\/5 (c) -1 (d) 5 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 8. Let i(j) = 1. Let f(p) = -2*i(p) + t(p). Let w be (-6)\/(-39) + (-186)\/26. Let n be f(w). Put n, -2, 1 in decreasing order.\nAnswer: 1, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48.05 - -48. Let l = 41 + -37.1. Let d = -1.1 - l. Sort -4, k, d in ascending order.\nAnswer: d, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + (1 - 33 - (-28 - -32)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = 0, 15 = -2*v - 2*m - 1. Let f be 1*(v - -8) + (-1)\/1. Solve 0*h = f*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61727 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711450422?\nAnswer: 2, 355725211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(1\/7)*o*o*o*o**(-7) assuming o is positive.\nAnswer: o**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-112))\/(1\/10)*(-210)\/(-30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0 - 1\/30*j**5 + 1\/315*j**7 + 0*j**3 + 0*j - 18*j**2 - 1\/18*j**4 + 0*j**6. Factor y(x).\nAnswer: 2*x*(x - 2)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 + 81. Let q(o) = 2*o**2 + 14*o + 10. Let b be q(v). What is the fourth biggest value in 1, -0.1, -2\/17, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -6 (b) -1\/15 (c) 0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216 + 215.6. Let m = -1 - 2. Which is the biggest value? (a) -1 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455423 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14196 + 163243?\nAnswer: 177439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4162?\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 (base 4) in base 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184217*n - 120314*n - 44099*n.\nAnswer: -348630*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.9485 + -7. Round b to 3 dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 867 and 1632.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86538585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshssssssh. What is prob of sequence sss?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 20*g - 1. Let t be x(1). Let n = t + -23. Let y be n - ((-6)\/3 - 2). Solve -5*w + 2*w + 12 = y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*r + 3*y, 5*r + 3*y = 2*r + 36. What is the lowest common multiple of r and 1\/8 - 13065\/(-312)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117200 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -826*1 - (0 - 0). Does 13 divide d\/(-10) - 2\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20)\/(3\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-7)\/(98\/35).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5824848 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((6*(sqrt(198) + (sqrt(198)*-1 - sqrt(198))))\/sqrt(11) - (4 + 6*(sqrt(2)*-2)**2 + sqrt(6)\/(sqrt(3) - sqrt(48)))).\nAnswer: -48 - 53*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**3*s**2*z**2 - 12*k**3*s*z**3 - 2*k**3*z**3 - k**2*s*z - 242*k*s**2*z**3 - 6*z**3 wrt s.\nAnswer: 14*k**3*z**2 - 484*k*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001 (base 2) in base 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 3, a: 1, k: 1, c: 6, l: 6}. What is prob of sequence dc?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 9, -2\/7, 1\/39, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-6)\/13)*-1)\/(355\/(-474280)*-668)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 5:17 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7244, -10279, -13308, -16331, -19348?\n\"Answer: 3*u**2 - 3044*u - 4203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 979716327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -438, -441, -444, -447, -450?\n\"Answer: -3*x - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -87.3. Let b = n - 0.7. Sort b, 3\/4, 0.1, 4.\nAnswer: b, 0.1, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8)\/(6\/1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 58\/18 + 6\/(-27). Suppose c = 3*r - 2*r. Suppose z + 13 = -4*b, 2*b - z + 2 = -r*z. Let g(h) = h**3 + 4*h**2 - h - 2. Determine g(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1. Suppose -3*z + 4*y = -16, 4*y - 4 = 4*z + 5*y. Suppose z = b + 4*b. Let p = b - 2. Let q(c) = c + 2. Determine p*q(j) - 6*n(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 37 - 17. Calculate the remainder when 48 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 828*h**2. Let m be q(-1). Suppose -x - 8*x = -m. Factor 94*b**2 - x*b**2 + 16 - 16*b + 4 - 6*b.\nAnswer: 2*(b - 10)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*s - 337*s + s**2 + 692*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2*sqrt(171) - 5*(3 + sqrt(171)) - -2*5*(-2*sqrt(171) + 3))*2)**2.\nAnswer: -7776*sqrt(19) + 499212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 77. What is the remainder when 79 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*(-3)\/(-3))\/(-1). Let z be 0*(o - 4\/(-3)). Solve z = -4*n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yzyyzzz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 100.\nAnswer: -0.5, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2565)\/(-21945)*(-14)\/12?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/15)\/(31\/(-73625)). Calculate the greatest common factor of o and 800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 3. Let n be b(-12). Let a be (n\/(-3) - -3) + -2. Let v be (-6)\/a + (-623)\/1. What is v 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 square root of 4091 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57082812.\nAnswer: 2, 3, 4756901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41145 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 17.6. Which is the second smallest value? (a) g (b) 5 (c) -1\/5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1269 times -566.5\nAnswer: -718888.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00967 rounded to 4 decimal places?\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 + 54*a + 18. Let b(o) = o**3 + 18*o + 5. Give -7*b(f) + 2*q(f).\nAnswer: f**3 - 18*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11774136 by 132.\nAnswer: 89198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 - 38*q**2 + 47*q. What is the least common multiple of 336 and l(-14)?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3 - 9*v**2 - 6*v = 0. Calculate v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2 (c) 38301\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196913430*d**4 + 23*d + 2475561 wrt d.\nAnswer: -2362961160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:32 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/48*(-16)\/15)\/(-2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 3065661 + 3065661.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392641 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, v: 3, c: 3, e: 8}. What is prob of picking 2 b and 1 e?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*c - 8330 = 54*c - 103*c. Solve 0*k + 343 = -c*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 50*h**3\/3 - 19*h**2\/2 - 16*h. Is d(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7118 + -922. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**3 + 2*j**4 - 10*j**3 - 23 - 18*j**3 + 2 + 5*j**3 in the form y*j**2 + q*j + d*j**3 + h*j**4 + b and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 26*g**2 - 18*g - 15. Let d be v(12). Let l = 57 - d. Factor 2\/13*i**4 + l + 0*i**3 - 2\/13*i**2 + 0*i.\nAnswer: 2*i**2*(i - 1)*(i + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/54 and -121\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 49570468 and 49570470 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*g - 285*g - 294*g + 867*g - 110*g**2 - 2*g**3.\nAnswer: -2*g**3 - 110*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - -6)*(-5)\/3. Let y(f) = -i*f - 5*f**2 + 3*f + f**3 - 2*f**3 + f. Let r(q) = 6*q + 43. Let u be r(-8). Calculate y(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*u + 20588, r + 6*u + 1969 = 7094. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 61. Let n(b) = -2*b**2 + 5*b + 7. Let t be n(p). Let w(s) = 50*s - s**2 - 58*s + t + 0*s**2. Determine w(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -9. Sort y, 4, -5 in decreasing order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44565.\nAnswer: 3, 5, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5398 and 4.\nAnswer: 10796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqf when three letters picked without replacement from {f: 2, x: 3, b: 3, q: 1, z: 1, j: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, e: 5}. What is prob of picking 3 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q + 28*q - 13*q + (-3 + 3 - 1)*(3*q + 0*q - 2*q) + (2 - 4 + 4)*(6*q - 3*q - 2*q) + (0 - 1 - 1)*(-3*q + q + 0*q))*(-q + 2*q + 0*q)*(3 - 1 + 0).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96 or 2590\/27?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99\/4 + -51\/2. Let k = 2.4 + -0.4. Which is the nearest to k? (a) 1 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99*(-86)\/(-387)*-1*1\/1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1217 = -l - 1137. What is the greatest common factor of 520 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 18*f - 28. Let z be m(-16). Suppose 110 - 38 = z*j. Find the common denominator of j and -37\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 17*n - 1080. Let d(x) = -7*x + 541. Calculate 5*d(j) + 2*f(j).\nAnswer: -j + 545","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y - 13. Let o(c) = -c + 4. Let d(l) = 7*o(l) + 2*u(l). Let r be d(-2). Let z be 4\/(-26) + (-592)\/(-3172). Which is bigger: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 495974552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*g + 37*g + 71*g - 159*g + 0 + 4 to the form r + h*g and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddtddddddddd. Give prob of picking 4 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) 5 (c) -2 (d) 1.042 (e) 0.1 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - a = -253, k + 4*k - 262 = -4*a. Suppose f - 5*f + 40 = 0. What is the greatest common divisor of k and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = u + 5*t + 23, 0 = -u + 5*t - 3128 + 3136 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n - n - 23 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.545 - 5.859. What is t rounded to 1 decimal place?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 110*g**3 + 21 + 196*g**3 - 57 + 17.\nAnswer: 306*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/7 + 22*z**2\/7 + 36*z\/7 + 16\/7 = 0. Calculate z.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j. Let f(d) = -171*d**2 + 21*d - 6. Let r(v) = -f(v) + 18*g(v). Is 13 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 552822659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 45 = -5*h, 4*l - h = l + 25. Suppose 5*n + 3*u - 24 = -u, 2*n + 2*u = l. Suppose n*b = 3*b + 22. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11576?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19870 divided by 3974?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - 3)\/((-371)\/7))\/(12\/(-8))\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7995)\/3936*(-3)\/(-5). Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*((-4)\/(-14) + (-6919)\/1785*-5). Solve -16 = m*b - 75*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 4*s**2 + 7*s**2)*(-5 + 4 + 2) + (2*s - 3*s - s)*(2*s - 4*s + 6*s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 3. Let z(x) = -5*x + 13. What is -18*c(v) - 4*z(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 3:52 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 43. What is the tens digit of q(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -116*q - 6. What is the hundreds digit of w(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-7 + 9)) + -22 - (4 + -7 + 9)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-217)\/(-21) + 1\/6)*(-128)\/96.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -247*z**3 - 2*z**2 - 3 wrt z.\nAnswer: -741*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(72))\/(sqrt(144)\/sqrt(4)) - ((sqrt(35) - (sqrt(70)\/sqrt(2) - sqrt(35)))*5)\/(sqrt(35)\/(sqrt(5)*1)).\nAnswer: -29*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 8*r**2 + 11*r + 38. Determine d(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1 - 12*u**2 + 7*u**2 + 11*u**2. What is c(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11202220011 (base 3) in base 16?\nAnswer: -16f0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/195006 and 93\/37144.\nAnswer: 780024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + -4)*-3 - sqrt(28)\/(sqrt(4) - sqrt(100)*3 - sqrt(4)).\nAnswer: -44*sqrt(7)\/15 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7625 and 24217?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**2 + 3*s + 4. List the prime factors of t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -21.6. Let z = w + -1.4. Let f = 15\/2 + -7. What is the smallest value in 0.4, z, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2. Let y(f) be the second derivative of -2*f**3\/3 + 5*f**2\/2 - 6*f. Let h(l) = -2*l + 3. Let x(i) = 5*h(i) - 3*y(i). Determine x(d(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 15. Let m be f(-11). Suppose -3*i + 0*i**m + 3*i**4 - 3*i**4 - 3*i**5 + 6*i**3 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 + 10*c + 10. Let m = 0 + 4. Suppose m*w + q = 46, -3*w - 5*q = -q - 41. Let r be s(w). Round r to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*a - 54 = 13*p + 3*a + 27, -36*p + 33*p + 215 = -16*a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1176 - -1178. Solve -4*n - 14 = 3*w - 0*w, -5*n - u = -4*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 467968*p + 155989.\nAnswer: (p + 155989)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6274*-1.6.\nAnswer: 10038.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 901*u + 3618. Calculate j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79 * 18394.\nAnswer: -1453126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*w + 8, -2*v + 4*w - 5 - 3 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25298\/834 + ((-30)\/(-9))\/5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = -2288 + 2288 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 2*w - 4. Suppose -5*a + 115 = -0. Let t = a + -17. What is the remainder when t is divided by f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.2 - 44. Let c = 2.22 - k. What is the closest to -3 in c, -2\/7, 1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/28))\/((j**(-1\/2)\/j)\/j))\/((j\/j**11)\/j)**7 assuming j is positive.\nAnswer: j**(2255\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181688412?\nAnswer: 2, 3, 19, 41941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9*((-7)\/(-3) + -1). Let t be -6 - (-8 + 8)\/3. Let m be (4 + t)*(-18 + -12). What is the highest common divisor of m and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.2 - -1.2. Let n = 5 + d. Suppose y - 4*h = -2*y + 8, 0 = h + 5. Which is the closest to n? (a) 0.1 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -382.8 - 35.2. Let r = -418.3 - s. What is the third biggest value in 6, -0.02, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-608)\/(-40))\/(1 - 4\/5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + 11 + 11 + 5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. Let j(d) = 117501*d**2 + 2*d. Let n be j(l). Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-four fifths of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 138566*c**4 - c**3 - 138560*c**4 + 56*c**3 + (-2*c**3 + 4*c**4 + 2*c**3)*(-1 + 0 - 1).\nAnswer: -2*c**4 + 55*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 19*o**2 - 274*o - 2655. Determine w(-7).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 788 - 784. Solve -i*w - 8 = 4*d, 22 - 8 = 2*d - 4*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (133\/21)\/(1\/3). Suppose 2*n - 15 = -3*g, -4*n = g - 2*g + d. Solve -4*t = -g*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d + 464. Calculate m(-25).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -503 + 518. Sort o, -1, 17 in increasing order.\nAnswer: -1, o, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-9) + 4\/9. Put t, -0.5, -0.1, 4 in decreasing order.\nAnswer: 4, -0.1, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 33*p**2 + 32*p + 379. Is l(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -50. Let i = -6762\/19 + 356. Which is the smallest value? (a) r (b) 1\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from bbbkbkk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + (-24)\/12. Which is smaller: w or -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8846, -17693, -26540, -35387, -44234?\n\"Answer: -8847*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123.9 - -124. Let q = 0.22 - -26.78. What is the third biggest value in y, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27699000 rounded to the nearest 100000?\nAnswer: 27700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 896179 divided by -1.\nAnswer: -896179","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 5288 - 5269. Solve 13*p + 7 = -u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-66)\/8815) + 0 + -2. Let p = r - 264. Find the common denominator of p and -43\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*h + 8. Suppose -4*x + 20 = -3*t, 1 + 4 = x - t. What is the highest common divisor of x and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -5. Let d = 7 + c. Suppose 2 = 3*m - m + v, -m - d*v = 13. Solve -3*a - n + 4*n + 30 = 0, 4*a = m*n + 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 3*h**3 - 17 + 0*h.\nAnswer: -3*h**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let n(c) = c + 5. Calculate -n(q) + 2*v(q).\nAnswer: -3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*a**3*g**2*t + 5*a**3*g*t**2 + 5*a**2*g*t**2 + a*g**2*t**2 + 6*g**2*t**2 wrt a?\nAnswer: 264*g**2*t + 30*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/38, -1\/6, 1\/7, 0 in descending order.\nAnswer: 1\/7, 3\/38, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.452 - 0.052. Which is the second smallest value? (a) 2\/67 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 6342377 + 6342377.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 11:05 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from toyyv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*(2 + (-20)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1000885.9344 to the nearest 10000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxppxxxx. What is prob of picking 2 x and 2 p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4359333186.\nAnswer: 2, 3, 13, 29, 569, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2772 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3172439*m - 22579130 wrt m.\nAnswer: -3172439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -9*j**4\/4 - 13*j**2 + 60*j + 2. What is the first derivative of m(s) wrt s?\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 47*j + 92680. Are j and -2318 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 2*i - 8*i**3 + i**4 + 0*i + i + 1 - 22*i**3 + 15*i**3 as q*i**4 + u*i + t + x*i**3 + s*i**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/7)*v)**(-1\/3) assuming v is positive.\nAnswer: v**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 416800 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 7 - 1. Let k = 92 - 90. Let h(m) = -2 - 3*m - m**k + 2*m - m. Determine h(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.98 and 0.4?\nAnswer: 6.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**3 + 6458472 - 723*x**2 + 9360*x - 6458472 wrt x.\nAnswer: -12*x - 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 i when three letters picked without replacement from {q: 5, k: 5, i: 2, d: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3403 is divided by 385?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75143.\nAnswer: 163, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 19. What is the remainder when 814\/16 + -8*(-9)\/576 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 37*u = 41*u + 48*u - 129*u + 126, 3*b = -5*u + 191 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2\/9*m**3 + 722 - 226\/9*m**2 + 2090\/3*m = 0.\nAnswer: -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w + 8. Let a = -8 + 14. Let p be (-1 - 0) + 0 + (14 - -2). Let v(c) = 0*c - 4*c + p - 5*c. Determine a*v(x) - 11*o(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(27)*-6)\/(((sqrt(432)*-2)\/sqrt(12))\/sqrt(4)).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-8) - 2910\/2000) + (-3)\/(-2). Sort 0.3, 0.2, u, 5, 2\/27 in increasing order.\nAnswer: u, 2\/27, 0.2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1292197504 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-5)*10\/(-2). Suppose -d - m = -5*d. Solve 0 = -x + 3*w + 10, 0 = -2*x - 5*w - 17 - d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, e: 4, n: 5}. Give prob of picking 1 v, 1 e, and 2 n.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1296\/(-112))\/(-27) + 494604\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -222063*m**2 + 13*m**3 - 158*m**3 + 221819*m**2 + 2*m wrt m.\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222611 divided by -222611.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + -2.55. Let a = w - -0.5. Which is bigger: a or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2451236572 to the nearest integer?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 6*y + 2. Let q be i(6). What is the first derivative of q - 2*v + 5*v - v wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 4*r + 4. Let i(a) = -a**2 - 5*a - 5. Let g(t) = -5*h(t) - 4*i(t). Let x(o) = -6*o + 17*o - 5*o + 3*o. Determine x(g(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4543878 is divided by 58?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-14160)\/1180*1\/(-64)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*(sqrt(95) - sqrt(95)*3) + sqrt(95) - sqrt(95)*-2*5)\/(sqrt(605) - (sqrt(605) + 4*sqrt(605)*-1 + sqrt(605) - sqrt(605))) + -5)**2.\nAnswer: -45*sqrt(19)\/11 + 73971\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 8*o + 12. Let l be t(-9). Suppose -4*c + 3 = -9, -l*h = -5*c + 93. Let k = h - -53\/2. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 1, w: 2, y: 6}. Give prob of sequence yy.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 12:03 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 671729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95383189 is divided by 323.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 16) to base 4.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.833 (b) 5 (c) 0.3 (d) -19.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from {g: 2, r: 1, h: 1, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90695?\nAnswer: 5, 11, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {l: 6, q: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3120525 by 3.\nAnswer: -1040175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 1 + (13 - -1) + 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1535*h**2. Let c(b) = -3*b. Determine a(c(o)).\nAnswer: 13815*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(36\/(-24)) - (-16)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 794 and 98963352.\nAnswer: 98964146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33\/33*(-2)\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*h + 14820 = -128*h - 6780 for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27544 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*x + 28 = 96*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-1 - 0) + -26*37\/962. Sort 2, -1, 32, u in decreasing order.\nAnswer: 32, 2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 3*o + o + 74*o**3.\nAnswer: 74*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -38, 3, 1\/7, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 19 - 13*k - 18*k)*(-3369*k**3 + 3369*k**3 + 37*k**4).\nAnswer: -1147*k**5 - 74*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 86699, 3, 1 in decreasing order.\nAnswer: 86699, 3, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 3*p - p + (4 - 2 + 0 + (0 + 2 - 1)*(3 - 3 - 1) - 23 + 0 - 5)*(-2 - 3 + 3)*(0 - 2*p + 0 + (8*p - 2*p - p)*(1 - 2 + 0)) as j*p + m and give j.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r**2 + 1. Let w(z) = 3*z**2 - 1 - 1 + 1 - 88*z**3 + 86*z**3 - 4*z. Determine 3*o(v) + w(v).\nAnswer: v**3 - 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4242 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 25 + (0 - 2) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 30. Suppose -h + c*h = -2. Suppose -m + 3*f = 6 + 4, -h*m + f = -5. Solve m*d - 35 = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 30*m + 30*m - 102*m + 27 + 29*m. Give r(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/265, -1 in ascending order.\nAnswer: -4, -1, -2\/265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2*((-35)\/14 - -2). Let o(z) be the second derivative of 0*z**3 + 2*z + 0 + c*z**2 - 7\/12*z**4. Let j(k) = -k**2. Determine j(o(d)).\nAnswer: -49*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197 - 181. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q = 56*q - 3*p + 2, -5*q - 12 = 4*p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10912 + 10926. Solve 13*l = 9*l + 5*j + z, 4*l - 4*j = 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 + 3*y**2 - 2*y**2)*(0*y**2 - y**2 + 3*y**2) + (5 - 3 + 3)*(y**4 + 3*y - 3*y) - 5*y**2 + 5*y**2 + 4*y**4.\nAnswer: 19*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 214 - 95. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2948031463?\nAnswer: 13, 23, 9859637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:40 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 m when three letters picked without replacement from {o: 9, m: 7}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 16. Suppose -3*u - 17 + 29 = o. Suppose -4*f - 377 = -d - 0*d, -1885 = -5*d - u*f. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 g when four letters picked without replacement from gmgqwgwggqmw.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 21, 23, 27, 33, 41, 51?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -5. Suppose 4 = t + f*t. Let h be 1 + (1 + t - 1). What is the greatest common divisor of 18 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 88?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 10*w**2 + 2*w + 2. Let q(a) = -a**2 - 7*a + 4. Let l be q(-6). What is the tens digit of v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 divided by 43?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-28 - -30) - 57\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1361904 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38373.49 weeks to milliseconds.\nAnswer: 23208286752000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-480)\/(-25))\/16)\/(570\/(-76))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 24 - 9 - 28*q to the form g + u*q and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7*i - 8*i - 3320 = 0, -2*q + 1670 = -3*i. List the prime factors of q.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-1 - -3) + 0. Let g = 44 + -25. Let q = g + x. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.4 - -42.998. Let p = 12.682 + z. Let m = p - 14.5. Round m to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1338486795.\nAnswer: 3, 5, 769, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0 - 1\/30*l**6 + 0*l**3 + 1\/20*l**5 + 4*l**2 + 0*l**4 + 0*l. What is the third derivative of k(d) wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebzbzebebbbbebbbee. Give prob of sequence zeb.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 15 = 40. Let o = s - 14. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8318254.051 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.90000072 - -0.9. What is y rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 604730 and 112.\nAnswer: 4837840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 6:14 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, j: 3, a: 12, r: 1}. Give prob of sequence xjax.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, x: 3, c: 1, o: 1}. What is prob of sequence cx?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 - 13 = 0. Suppose -b*r + 18 = -3*x, -3*x = -3*r - 8*x - 14. What are the prime factors of (6 - r)\/(4\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let u(g) be the first derivative of -g**2 - 2*g + 1776. What is -h(d) - u(d)?\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1209*i**3 + 6*i**2 - 278*i wrt i?\nAnswer: -7254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/2 of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h + 43844 - 43844. Let u(p) = -5*p - p + 5*p. Calculate u(j(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(-184)\/(-138).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**3\/3 + 3*a**2\/2 - 4*a + 7. Let n be m(2). Solve 2*w = -w + n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3659*q - 3665*q - 120 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 82932*o + 663427. Calculate c(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 704, -1\/7, -228\/203?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h - 2*l, -4*h - 8 = -8*l + 4*l. Solve -5*p + 3*p + 3*t = 13, h = -p + 5*t - 17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 + 0.13.\nAnswer: 101.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 11:06 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3640586783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, t: 1, y: 2, f: 4}. Give prob of picking 1 y, 1 t, and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -36. Let z = -17 + w. Let d be z\/25 - 124\/10. Which is bigger: -11 or d?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*d - 3)*(4 - 1 - 5)*(-117 + 77 + 83).\nAnswer: 258*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63694 plus 3629111254?\nAnswer: 3629174948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134*m**4 - m**3 + 13*m**2 + 2.\nAnswer: 3216*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31\/3 - -11. Let h = 1566.7334 + -1567. Let y = -0.0334 + h. Which is the closest to -1\/2? (a) i (b) -2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l + 5. Let b be y(5). Let d be 21\/b + 17\/5. Let r = 8 - 5. Sort r, 2, d in decreasing order.\nAnswer: d, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/(-21) - 28\/98)*0. Solve -5*f + 4*x - 14 = d, -3*f + 33*x = 36*x + 30 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -56. Let d = j - 22. Let p(r) = -2*r + 5. Determine p(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) 94 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let y(q) = -17*q**2 + 4*q + 2. Let w(i) = -17*i**2 + 6*i + 3. Let p(z) = 2*w(z) - 3*y(z). Calculate p(h(o)).\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/(-3*(-5)\/(-465)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (-1100)\/(-4) + 0. Calculate the greatest common divisor of 24 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) - sqrt(130)*-4)*-2) + sqrt(130))\/(5*sqrt(250)).\nAnswer: 12*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 14 = -2*k, -4*k - 5*r - 36 = -2 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/42 and -50\/138159.\nAnswer: 276318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)*b*b**(-4))\/((b*b**(-3\/8))\/(b\/(b*(b\/b**(-2\/5))\/b))))\/((b*b\/(b\/b**(-2\/5)))**(-3\/38)\/(b**(-1)\/b**(-2))) assuming b is positive.\nAnswer: b**(-6823\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0 - 2) + 1. Let c(k) = 18*k**2 + 2*k + 1. Calculate c(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = a + 2. Let x be a\/6 - (-14)\/3. Solve x*l - v + 3*v - 24 = 0, -13 = -3*l + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l + 14 - 202 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 4316.\nAnswer: 4316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 + 168 = 8*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (8 + -29)) + -17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1100)\/(-15))\/((342\/27)\/(-19))*(-4)\/(-10).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(0 + sqrt(7488) - sqrt(7488)))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(3 + 0 + sqrt(243) + 3)**2.\nAnswer: 648*sqrt(3) + 1674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -8, -68, -5?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d + 39 + 17 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - 4.95. Let j = -41\/1071 + 11\/153. Let t = 3\/17 - j. Put z, 2, t in descending order.\nAnswer: 2, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 15 + 0*x - x + 2*x - 1. Let j be t(-10). Suppose j*w = 18 + 6. What is the remainder when 10 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131622.\nAnswer: 2, 3, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 3, -28\/3, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*z - 758, -9 = -2*w - 5. List the prime factors of z.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 23 = -j, -20*w + 888 = -j + 926. Let i = 85 - -223. Let f = 22482\/73 - i. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1385, 3968, 6695, 9638, 12869?\nAnswer: 16460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 23782.76 nanoseconds?\nAnswer: 23.78276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/5 + (-20)\/50. Let k(l) = -l**3 + l**2 - 3*l - 4. Let j(d) = -d**3 + 2*d**2 - 4*d - 5. Let i(q) = t*k(q) - 5*j(q). Give i(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/8 - -9*(-9)\/30. Which is the third smallest value? (a) x (b) -9 (c) -1 (d) 0 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26873, -26870, -26865, -26858, -26849, -26838, -26825?\n\"Answer: q**2 - 26874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i - 14. Let w(z) = 6*z - 5. Suppose -3*v - 2*n = -15 - 121, v = -2*n + 48. Suppose r - v + 55 = 0. Determine r*w(s) + 4*l(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30397 - 24812. Is 4\/(-8) + p\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8236837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 7. Let x be t(7). Let b(k) = k**2 - 4*k - 5. Let s be b(6). What is the units digit of (x + (-3 - -4))*s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -57) + (-8)\/4. Suppose -1 + 16 = 3*r. Suppose -2*h = r*s - 17, 3*s + 0*s + v = 2*h. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - 4*h**2 - 10*h - 18. Let x be s(-2). Solve 4*c - 22 = -x*t, -2*t + 5 = c - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -35. Let u = h + 18. Solve -4*s + 4*m + m - u = 0, 2*m = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.279 + -2.721. Which is the closest to 2\/11? (a) w (b) 7\/8 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + (-72)\/(-20))*1. Let x = -5 - -3. Put 2\/99, x, o in ascending order.\nAnswer: x, o, 2\/99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 - 17 = 0. Calculate the common denominator of (279\/(-15))\/(n\/(-10)) and 47\/13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 573? (a) -0.03 (b) 2\/9 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:04 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*n + 108*n = -192 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42919, -85837, -128755?\nAnswer: -171673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.6 and -0.178.\nAnswer: 3.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -55. Suppose -p*t = -5*t - 90. Suppose 5*y - 575 + t = 5*b, -4*b = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65021 (base 14) to base 3\nAnswer: -110102001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 4 + 12 + 5*t + (0 - 1 + 0)*(2*t + 0*t - 4*t) - t - 2*t + 5*t - 2 + 2*t + 2 as c + j*t and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71981 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74a + 5024?\nAnswer: 4385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206813063*c**3 - 358527723 wrt c.\nAnswer: 620439189*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -1 + sqrt(1377) + sqrt(1377) + -1))**2 + -4.\nAnswer: -6300*sqrt(17) + 138921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 15, -125, -393, -831, -1481?\nAnswer: -2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**3*u**3 + o**3 + 11*o**2 + 228*o*u - u**3 + 15 with respect to u.\nAnswer: 6*o**3*u**2 + 228*o - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1054023?\nAnswer: -1054024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/33288 and 79\/2596464?\nAnswer: 2596464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 236? (a) -0.03 (b) 4 (c) -0.3 (d) -3\/13 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78692 equal to 78696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498 - 498 - 46*i**2 + i.\nAnswer: -46*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + s + 4 = 3, -5*s + 25 = 0. Let b = 8 + z. Calculate the highest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 27*b**2 - 3369*b + 5123. Determine f(-47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -128, -5, 5, -4 in decreasing order.\nAnswer: 5, -4, -5, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15903 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.43274029601 - 23996.69512819601. Let m = -23883.26237 - f. Let q = m + -108. What is q rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.71 times 0.4?\nAnswer: -3.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 2843037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*v - 765*v + 245*v + 380*v.\nAnswer: 105*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 + 10*c - 24. Let l be g(8). Let f be l*1\/(-5) - 30\/(-75). What is the remainder when 62 is divided by (-3)\/((-3)\/f) - 810\/(-27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/844850 and 44\/40130375.\nAnswer: 80260750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**5\/20 - n**2. Let m(v) be the second derivative of -8 + 0*v**2 - 23\/6*v**3 + 7*v. Calculate x(m(h)).\nAnswer: -1587*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/20 and 1348\/(-120) - 2\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {z: 2, h: 1, j: 3, f: 4, d: 3, y: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4904032*r**3 + 5838896*r**2 wrt r?\nAnswer: -29424192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 451.7 - 452. Suppose 2*r + 8 = 2*i + 3*i, -5*i + 10 = 0. Let j be 2*r*3\/(-2). Put x, j, 0.3 in ascending order.\nAnswer: j, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -6*(-5)\/(-40))*-88. Factor -o*c**3 - 21*c**3 + 67*c**3 + 5*c**4 - 680 - 330*c**2 - 29*c**3 + 10*c**4 + 900*c.\nAnswer: 5*(c - 2)**3*(3*c + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51909 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004682064 to 7 decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 400*h**2 + 3252*h - 5384. What is g(-408)?\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 518 = 4*t, -11 = 5*u - 1. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1)\/(2\/32)*(-9)\/6 and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 2484*n**2 - 120 - 503 - 2482*n**2 to the form f + o*n**2 + h*n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**3 + 7*b**2 + 5*b - 4. Suppose 13700*g - 30 = 13694*g. Let c(k) = k**3 + k**2 + k - 1. Calculate g*c(h) - w(h).\nAnswer: 2*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - -271. Let v = -318.4 + u. Which is the closest to -5? (a) 0.1 (b) v (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 13 = 3*o, -5*o - c = -o - 8. Solve -o*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/220 in 323, 3, -5, -12\/13, -1\/7, 6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36475.\nAnswer: 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2575000*o**5 - 2*o - 40773.\nAnswer: -51500000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4 - 1088*b**3 + 355397*b**2 - 31183858*b + 324888456 = 0.\nAnswer: 12, 118, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 - 11)*2\/(-6). Suppose b = 4*v, -3*s + v + 2*v - 501 = 0. Let z = 280 + s. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 313 + 309 = 3*f, -3*f - 10 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -89, -108, -153, -236, -369, -564, -833, -1188?\n\"Answer: -2*k**3 - k**2 - 2*k - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.4413ng?\nAnswer: 0.0000000000044413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 7:39 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 9*m**2 - 10*m. Let w be f(-8). Let q = w - 11. Suppose -q*l + 3*v = -65, 4*l - 54 = -4*v + 30. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrrq when four letters picked without replacement from {r: 5, j: 2, q: 2}?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a day in minutes?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410418507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -89580 < -89579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31859 is divided by 10619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23868 + -12030. Suppose 68*k - o = 62*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let z(i) = 512223634*i. Calculate z(j(x)).\nAnswer: 512223634*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156)*-3 - -3*(sqrt(156) + -2*sqrt(156)))\/(1*(sqrt(768)*-1 + sqrt(768)) - sqrt(768)).\nAnswer: 9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -77*n - 1224. Let o be y(-16). Sort 7, 3, 0, o, 5.\nAnswer: 0, 3, 5, 7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -106*m**2. Let n(f) = -968093*f**2. Give n(p(h)).\nAnswer: -10877492948*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(833))**2*-5 + ((sqrt(2057) - (sqrt(2057)*-1 + sqrt(2057) - sqrt(2057)) - sqrt(2057) - sqrt(2057)) + 4)**2.\nAnswer: -4149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -11*g + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.04 - 0.04. Suppose -11*u = -3*u. Which is the closest to u? (a) z (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c*h**2 - 22*c + 252278*h**2 + 4930 wrt h.\nAnswer: -6*c*h + 504556*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(2*sqrt(160)).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -2. What is the remainder when 15 - (1 + 3 + y) is divided by -6 - -8 - -4*(-1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130.7 + -122. Let h = 3.1 - i. Let t = -5 - h. What is t rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**2 - 25*f**2 + 313*f - 315*f to the form x*f + w*f**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2968 = 4*o, 14 - 2 = 3*x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 37*o + 23. Let t be z(20). Let u = t + -77. Calculate the greatest common divisor of 8 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3180747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 3*w**2. Let t(f) = f**3 + 6*f**2 - 2*f + 5. Let o be t(-6). Let l(u) = -u**2 - o*u + 17*u. Determine -d(n) + 3*l(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1*826.48.\nAnswer: -3388.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 248*n**2 + 4444*n - 13552.\nAnswer: -4*(n - 11)*(n - 4)*(n + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924473738.\nAnswer: 2, 47, 9834827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/5 and 83\/140678.\nAnswer: 703390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1202?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 minus 14989?\nAnswer: -14989.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48513, -96621, -144313, -191583, -238425, -284833?\nAnswer: -330801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.073\nAnswer: 0.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 283738 and -9.8?\nAnswer: -2780632.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.427 != -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8395 - f4?\nAnswer: -8489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -17 and -22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135097799 - 76039099. Let j = t + -59058733.0000134. Let q = j + 33. What is q rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77.035 - -77. Let h = 5.035 + i. Which is the third smallest value? (a) h (b) 7 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 9*x**2 + 18*x + 10. Let l(g) = 2*g**3 + 26*g**2 + 54*g + 30. Let n(w) = 3*l(w) - 8*o(w). Let n(u) = 0. What is u?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-8)\/2)*74. Let l = -22 + f. Let a be 28\/10 - (-9)\/45. What is the greatest common divisor of a and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -308 + -a?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 26 = 2*v, 5*l - v + 3*v = 19. Suppose -4*n - 3*r + 23 = 0, -n - 5*r = -l*n + 47. Calculate the least common multiple of 6 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.27902 weeks in milliseconds?\nAnswer: 29199151296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 4\/(-6) - (-80)\/100. Which is the closest to 0.2? (a) 0.4 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 6*t**3 - 6 - 10.\nAnswer: 6*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5\/2)\/m*(m**(1\/26)\/m)\/m*m assuming m is positive.\nAnswer: m**(-58\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 8*q**2 - q + 6. Let s(b) be the first derivative of b**4\/4 + b**3\/3 - b + 12. Determine p(j) + 6*s(j).\nAnswer: 2*j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23*(1 + 1 - 1). Suppose -2*l + 8 = -4*y, -5*y - 69 = -l - 53. Sort y, 1, -2, k in increasing order.\nAnswer: y, -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7128549 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 74, -5, 4, 3\/5 in ascending order.\nAnswer: -5, -4, 3\/5, 1, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/900 and -7\/2700?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4.03. Let g = 4.83 - 4.4. Let w = r - g. Which is the smallest value? (a) 0.5 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2053284 divided by 1724\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/12 + 3*q**3\/2 + 7*q**2 - q. Let g be (-4 - 15\/(-6))*(4 + -10). What is the units digit of t(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1355 greater than -1352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -28*m**2 + 777*m + 192. What is t(28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f - 2. Suppose -15 = -3*k - 9. Let u(y) = 2*y - 2. What is k*a(b) - 3*u(b)?\nAnswer: 2*b**2 - 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2764616 and 3296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6692641 is divided by 5686?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17250024 and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5521, 11076, 16631, 22186, 27741?\n\"Answer: 5555*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 - 4?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -659, -870, -1317, -2000, -2919, -4074?\n\"Answer: -118*p**2 + 143*p - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - b = -13 + 37, -5*b = 2*m + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 0*o - 656. Let s be (64\/4)\/(-4)*-11. Let n = o - s. Round n to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0671 + -286.0671. Let t = 287 + x. Let y = -25.1 - -23. Are y and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. What is the least common multiple of ((-6)\/(-3))\/(y\/10) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236570572*w**4 - 35371*w - 4478?\nAnswer: 2838846864*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406411?\nAnswer: 197, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2\/13 (c) -3\/7 (d) 8529 (e) 15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -95504745?\nAnswer: 95504750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*z**4 + 26 + 3918*z**2 - 3918*z**2 - z wrt z?\nAnswer: -12*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2142423116 and 6.\nAnswer: 2142423122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4169 at most as big as -4139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 2*j**2 + j. Let z(s) = -s**2 + 1. Let h(o) = t(o) + 2*z(o). Let w = -338 - -345. Calculate the lowest common multiple of w and h(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203*a**3*f*x + 3*a**3*f + 11*a**3 - a**2*f*x - 2*a**2 - 6*a*f*x - a*f - 8 wrt a?\nAnswer: 1218*f*x + 18*f + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -614?\nAnswer: 5\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5126839 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1891118031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 15*w**2 - 14*w + 3. Let i be a(14). Suppose -i*n = -4*b - 3, b - n - n = -2. Factor 0*f**2 - 2\/3*f + 2\/3*f**3 + b.\nAnswer: 2*f*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = 0. Let n = -3729\/13 + 287. What is the second smallest value in a, 5\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8570, -34255, -77062, -136991, -214042, -308215, -419510?\nAnswer: -547927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -159*(1 + -38) + (-100)\/25?\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 + 4 + (12 - 62)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 34 + 373*f**2 - 65 as d*f + n*f**2 + k and give n.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 108\/27 - (1 - 1). Sort 5, o, -22, -1.\nAnswer: -22, -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -33 (b) -3 (c) 1\/91 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 41 = -35. Suppose 2*j - 6*j = l*d - 192, 0 = -3*j. Calculate the greatest common divisor of d and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174561438?\nAnswer: 2, 3, 29093573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -14 + 2. Let w(s) = -s**3 - 4*s**2 + 8*s + 1. Let n be w(h). Solve -3*v + n = -b + 5, -5*v - 3*b + 10 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2765 divided by -1\nAnswer: -2765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*c**6 - 570515*c**5 - 404958419*c**2?\nAnswer: 7440*c**3 - 34230900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 3 + 0*v**2 - 1 - 4*v**2 + v**2 + v**2 - 2*v - v**2 + 2*v + (-3*v**2 + 2*v**2 + 3*v**2)*(0 - 1 + 2).\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 97 = f - 2*f, 285 = -3*n + 5*f. Let v = 9.97 + -6.97. What is the nearest to -1\/2 in -5, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**5 + 284987*s**4 + 2391405*s?\nAnswer: 40*s**3 + 3419844*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68214637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3.971. Let t = -0.0290021 - c. Round t to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(5 + (-17)\/3)*(-1287)\/(-33891)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*z + 2756400 = -5*z. What is z rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntbmctt. What is prob of sequence tm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242 - -143?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c. Let z be (-10)\/3*18\/(-3). Let b = z - 16. Solve c = -a - b*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 3 - 58)*(0 - 9 - 14*v**2 + 7).\nAnswer: 2338*v**2 + 334","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 310*h = -312*h + 54, -h = n + 37 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -6.4. Let r = -433.53 - -435. Let k = g - r. What is k rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -8*n + 7*n. Suppose -n*y + 2*y + 4 = 0, -2*t + y - 1 = 0. Solve -2*m - 2*m - 4 = t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 145*t - 1952. Give g(14).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 40547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16826*a**2 - 66*a + 17. Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q**2 + 15*q**2 + 6*q + 6 + 21*q**2 - 23*q**2. What are the prime factors of a(-3)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11582, -23237, -34892?\n\"Answer: -11655*g + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 19*s**2 - 1396*s + 8333. Determine n(6).\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7614, 7474, 7210, 6822, 6310, 5674?\nAnswer: 4914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l - 6*l)*((-1 - 1 + 1)*(3 - l - 3) - 3*l - 6*l - 2*l)*(-1 + 3 - 4).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -11*o + 14*o - 31, -3*o - 3*s + 15 = 0. Which is smaller: o or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 94 - 295 = -5*f, -3*f + 5*b + 263 = 0. Calculate the greatest common factor of 72 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 8*m - 9. Let l be x(-6). Suppose 5*z - 2 = l. Suppose 4*w - 25 = -5*p, 3*p - z = -w - 0*p. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.48 + 1.18. Let q = -0.7 - z. Sort 5\/4, q, 0.04 in descending order.\nAnswer: 5\/4, 0.04, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -51. Suppose 35 = 25*h - a. Solve 3*b + 11 - h = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000010111001110111 - -1?\nAnswer: -1100000010111001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 33 - 22)*(-5*t**2 + 6*t**2 + 0*t**2) - 2*t**2 + t**2 + 0*t**2 + (1 - 1 + 2*t**2)*(-5 + 3 + 4) - 2*t**2 - 3*t + 3*t.\nAnswer: 51*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2868023 - 0.28724. Round v to 5 decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2 + 53*s + 35. Let y = -406 - -398. Is t(y) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.207 + -0.107. What is the nearest to a in 2, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*m = -25, -8 = -3*m + 7. Suppose -y = -c*t + 13, t + 2*y - 16 = -0. Let r(w) = w**2 - 3*w. What is the lowest common multiple of r(5) and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/767 - (-7496850)\/60475.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + 0*r)*(-2*r**2 + 0*r**2 + 3*r**2).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 17761\/7 and 2537 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 804599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132283792 is divided by 4323.\nAnswer: 4315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-75)\/50 - (-9)\/4*94. Let v be -7*(-6)\/(-9)*x\/(-49). Solve 0 = 2*g + 2*g - v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485288 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -248116*t**5 + 212*t - 853 wrt t?\nAnswer: -4962320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-280)\/(-49) - (-2)\/7. Let t(u) = 13 + 14*u - 29 - u**2 + l. List the prime factors of t(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - -1.37. Let i = 7.6 + s. Let a = -8.99999915 + i. What is a rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 10*p**2 - 2*p + 1. Calculate the remainder when b(-10) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 6*i**2 - 7*i - 7. Let f be a(-5). Let h be ((-14)\/6)\/(14\/(-84)). Suppose -f*t = -t - h. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - f**2 - 2*f. Suppose 0 = -10*l + 4*l + 12. Give r(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-28)*-4*-7. Let m be y\/21 + (-3)\/7. Let j = 4.91 - -0.09. Sort j, -2\/9, m.\nAnswer: -2\/9, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*n**3 - 208*n**3 - 219*n**3 + 668*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 33*d**2 + 67*d + 74. Let f be r(7). What is the highest common factor of 36 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149689 or -149856?\nAnswer: -149856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c + 0 + 23*c + 0 to the form i + r*c and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a milligram in micrograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 571 or 570?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34452 divided by 27?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 1369*y - 93211. Give q(-65).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/20*17\/(-102)*-408\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57\/2 of a century?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 96 + -5?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 149*s**4\/4 + 332*s**2 + 989. What is the second derivative of y(x) wrt x?\nAnswer: 894*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -417\/5 (c) 5 (d) -2\/3 (e) -3\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 906061693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqq when three letters picked without replacement from {g: 3, q: 4, p: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 5, -5, 0, -1 in increasing order.\nAnswer: -160, -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19432 + -8062. What is i rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 + -185. Is 8\/9 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2)*(5*u - 3 - 1 + 1) in the form k + r*u and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -1 + 9\/10*t**5 - 1\/10*t**6 + 4*t**3 + 0*t**2 - t - 3*t**4. Find o, given that h(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -45. Let v be (-33)\/(-27) + 4\/o. Let j be v\/(1\/(-2)) - 2. Are -4 and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-953*p + 3404 + 330*p + 620*p)*(-p + p - 2*p**2) as c + y*p**3 + f*p**2 + o*p and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023945 rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 1 (b) -1\/8 (c) -0.149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(((-6)\/(-50)*5)\/(-3)). Suppose -4*c = -3*b - 13589984, 0*b - 4*c = p*b + 22650016. What is b rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543358523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 78520?\nAnswer: 314080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*t, -2*t + 3*y + 21 = 2*t. Suppose 90 = 5*p - t*w, 5*p - w - 90 = 4*w. Let m = 17 - p. What is the fourth smallest value in -5\/3, 0.1, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3122?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -20*n**3\/3 - n**2\/2 - n + 1552. Calculate f(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-816)\/306*15\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2677 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 7*r. Suppose v = -r*v + 46. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 997c37 (base 13) to base 10.\nAnswer: 3616139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 3 + (-1 + 1 - 1)*(3 - 18 - 13))*(-h - 3*h + 2*h)*(0 + 0 - 1)*(3 + 3 - 5).\nAnswer: 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317038, -316926, -316814?\nAnswer: -316702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 1324*f + 1341*f + 5)*(-2*f + 2*f + 2*f) to a*f**2 + p*f + v and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 21*p - 17. Let j(w) = 4*w + 8. Let t be j(-7). Let d be v(t). Suppose 2*r = d*l - 475, -4*l + 799 = 5*r + 204. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-680)\/240*(-9)\/((-2601)\/(-34)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1519)\/(-14))\/(((-6)\/108)\/((-62)\/1953))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -509 + 509.0357. Let a = -0.035702988 + c. Round a to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*i + g + 733, -3*i + 4*g = -1117. Does 47 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1539\/594)\/(-19))\/((-78)\/(-143)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133)*-2 + sqrt(133)))*-5)\/(-1*sqrt(112)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + v**2 + v**2)*(-1 + 4 - 2) + (-2*v + 4*v + 2*v)*(0*v + 0*v - v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 92*t**2 + 9*t + 108. Give v(46).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0525 times -3?\nAnswer: 0.1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8 + 3 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 506\/5465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-322)\/280 - 3\/(-4). What is the fourth biggest value in 0.9, n, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j**2 + 3*j - 1. Let m be h(0). Let q be (7\/7)\/((-90)\/(-92) + m). Let d = q + 117. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2140, -614, 3540, 11636, 24988?\n\"Answer: 219*f**3 - 7*f - 2352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 - 3*k. Let a(b) = -66*b**2 + 34*b. Let h(f) = 6*a(f) + 68*v(f). Let t(u) = -u. Determine t(h(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23 - -200)*(-1*1)\/(-1). Factor -155*x - 13 - 390*x**2 + 99*x**3 - 7 - b*x**3 - 191*x**3.\nAnswer: -5*(3*x + 1)**2*(7*x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14133 (base 6) to base 12.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10104, 9751, 9114, 8157, 6844, 5139?\nAnswer: 3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -44. Suppose 178 = s*r + 7. Calculate the remainder when r is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45668410 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 31. Let q(z) = 106*z - 51. What is 2*k(m) + q(m)?\nAnswer: 110*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**3*s**3 + 1361*d**3*s - d**2*s + 5*d**2 + 729*d*s**4 + 2*d*s wrt s.\nAnswer: -42*d**3*s + 8748*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = -0*v. Let w(r) = -r**3 + 10*r**2 + 6. Calculate the smallest common multiple of 10 and w(v).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18876 divided by -4719.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-703)\/235 + 3)*(-76 + -14). Which is bigger: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 6*b - 3. Let h(q) = -2*q**3 + 11*q + 5. Give -3*h(p) - 5*w(p).\nAnswer: p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009478996 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**4 + 22*m**3 - 15*m**2 - 2*m + 2. Let p(w) = 15*w**2 - 5 + 2*w**4 + 2 - 23*w**3 - w + 4*w. Let j(a) = -2*p(a) - 3*y(a). Factor j(i).\nAnswer: 5*i**2*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1303 (base 4) to base 8.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218439?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31306.\nAnswer: 2, 11, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 7*m**2 + 2*m + 3. Suppose -4*l = 2*p - 6, -3*p - 4*l + 11 = l. What is the remainder when t(p) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2904 - -2870.054. Let x = -0.054 + w. Let t = 33 + x. Which is bigger: t or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 6*d - 3. What is l(3)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -7573046.\nAnswer: 1\/7573046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, k: 1, t: 3, y: 6}. What is prob of sequence kyyk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 5*a**2 - 3*a - 4. Let w be z(3). Suppose -w*b - 9 = -4*b. Sort b, 1, -1.\nAnswer: b, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 + -493 - (10 + -1 + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -828110 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18222*h**3 - 18223*h**3 + h - h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193\/810 - -5\/81. Let z(y) be the first derivative of 0*y - v*y**4 + 14\/25*y**5 - 4 - 1\/5*y**6 - 2\/5*y**3 + 2\/5*y**2. Find m, given that z(m) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845764609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/39)*r)\/((r\/((r\/((r*r**(-2\/11))\/r))\/r))\/r) assuming r is positive.\nAnswer: r**(529\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 7*a + 9. Let s be f(6). Solve -g**2 + 5*g**3 - g**4 - s*g**3 + 0*g**3 = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*3\/(-18) - 106\/12. Let v be 8 + 4\/(12\/k). Solve 7*m - 16 = 2*m - 4*f, -v*f = -20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2. Let p(h) = -h + 4. Let m be p(3). Let t(v) be the second derivative of -v**3\/6 - v**2\/2 + 2*v. What is m*z(y) - t(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.051 - 0.349. What is the biggest value in f, -4, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 15*v - 3816 = 0. Suppose -w - 435 = -171. Let r = w + v. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 0*v**2 + 4 + 0*v**4 - 3\/5*v**5 + 0*v + 2\/3*v**3. What is the third derivative of r(j) wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-333)\/(-21) - (-2)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 78. Let f(z) = 2*z. Let d be f(-2). Calculate the remainder when i is divided by (14\/d + 2)*-10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0. Let r be 72\/(-2)*-4*(-10)\/(-60). Suppose 28 = 13*j - r. Which is the closest to 0.2? (a) j (b) -2\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14179209*v**2 + 8514308*v wrt v.\nAnswer: 28358418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxxxxm. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.3 - -66. Sort 0, 20, u in descending order.\nAnswer: 20, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1275, 1348, 1421?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 41. Suppose g + 5 - 6 = i. Calculate the lowest common multiple of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5\/29, 135, -4, 12 in decreasing order.\nAnswer: 135, 12, 6, 5\/29, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 351626711 + -4?\nAnswer: 351626706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 4*j - 8, 22*i - 14*j = 24*i - 16*j - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-10)*(80\/(-15) + 2). Suppose 753 = r*i - 35. What is the remainder when i is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/2 of a century?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -14*a**2 - 7*a - 2. What is i(-6)?\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*i - 65*i - 583 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2) - (2 - -12))\/(461\/922)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -2*t - 2*t - 116, 31*k + t - 21 = 32*k for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*k**2*p + 132*f*k*p + 1327*f*k + 124*k**2*p - 456*k*p - k - 2*p - 2 with respect to f.\nAnswer: 3*k**2*p + 132*k*p + 1327*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-16))\/((-16)\/256).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/23 + -15\/92. What is the nearest to q in -3, -2\/13, 2\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 - 11*x + 4. Let r(f) = f**3 - f**2 - 3*f + 1. Determine q(m) - 3*r(m).\nAnswer: -3*m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w = -29*w + 20. Suppose -2825 = -w*x - 15*x. Which is greater: x or 112?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 102\/8926973?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092473 plus -1.343?\nAnswer: -1.435473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-nine fifths of a century?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34582993.2us to weeks.\nAnswer: 0.000057180875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85792, 0.01, 12 in descending order.\nAnswer: 85792, 12, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97938?\nAnswer: 2, 3, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(0*b**2 - b**2 + 0*b**2) + 4*b**2 - 3*b**2 + 0*b**2 - 3*b**2 - b**2 - b**2 + 9*b**2 + 0 + 0 in the form n*b**2 + v + o*b and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267087729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 8:05 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 8, -x = -2*x + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 3. Let z be y(0). Suppose -z*q + 6*q = 9. Suppose 4*h - 350 = -4*b - 130, -q*b + 150 = -2*h. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -2*h**7\/105 + h**4\/12 + 3*h**2\/2 + 13. Let i(s) be the second derivative of b(s). Find the second derivative of i(f) wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -28. Let w(j) = 7*j**2 - 3*j + 6. Calculate the smallest common multiple of w(y) and 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - -4.3. Let j = -8 + c. Let f(m) = -5*m**2 - 145*m + 5. Let o be f(-29). Sort o, 0.9, j.\nAnswer: j, 0.9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315935044795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - (-2819700)\/(-57057)) + (12\/(-70))\/(102\/340).\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -56 - 2\/3*k**3 - 1352*k + 52*k**2. Find n such that y(n) = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/924*364*(-12)\/8?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/14658 and 40\/9?\nAnswer: 43974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u - 5. Let q(z) = 2*z**2 - 50*z - 361. Let j be q(-6). Let x(i) be the second derivative of -j*i + 1\/2*i**2 + 0 - 1\/6*i**3. Give -2*s(f) - 9*x(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71689 + -501822\/7. Factor 2\/7*c + 4\/7*c**3 + 5\/7*c**2 + n*c**4 + 0.\nAnswer: c*(c + 1)**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 2)*3\/2. Suppose -16 = p*x - 11*x. Let g(l) = 2*l**x - 164*l + 6 - l**2 + 166*l. Give g(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 times 2?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -438 (base 16) to base 9.\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4556.893 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - -1) + (-2 - -5 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1069?\nAnswer: -106d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762?\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.5 - 22.5. Let q = -69\/790 + -1\/79. What is the closest to p in 0, 1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppppppppppwpppppp.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 30. Suppose 3*f = 9, -3*o = -o + 3*f - v. Calculate the remainder when 2 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2762980 - 2762980 - 9209*f to x + i*f and give i.\nAnswer: -9209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 17 = 5*b, 83*b - 26 = 87*b - 2*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 759388356 to the power of 1\/2, to the nearest integer?\nAnswer: 27557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 5, h: 2, e: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1755, -1825, -1907, -2007, -2131?\nAnswer: -2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62032 - 52052 = -499*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**2\/2 - 5*i + 1. Suppose -l - 2*l - 3*k = -15, 0 = -2*l + 5*k - 18. Let w be 0\/(1 - (l + -3)). Give o(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 + 312069*d**4 + 8115430512*d**3 - 8307997836*d**2 - 5001072387360*d - 46129891351488 = 0. What is d?\nAnswer: -52012, -14, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 2)*(b**3 - b**3 - 2*b**3) + 6 + 19*b**3 + 8 - 11 to t + r*b**2 + f*b + k*b**3 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 259588914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17890\/1864*(-90)\/25. Let o = -104\/173 - -26308\/40309. Let t = o + c. Calculate the common denominator of 17\/4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 27 = -0*j. Suppose 0 = -3*v + 8 + 1. What is the greatest common divisor of j and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 261 - 200. Suppose -8 = 4*q - 2*g - 62, q - 26 = 3*g. Let v = q + c. What is the remainder when v is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -404 - -404. Suppose o - 15 - 132 = x. What is the remainder when o is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*n**3*r**2 + 2*n**3*r - 13*n**3 - 12*n**2*r**2 + 4*n**2*r wrt r?\nAnswer: -12*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2)*x)\/x)\/x)**(13\/4)*(x*x*x**(-4))\/(x*x\/x**(-1\/2)))\/((x\/((x**(2\/3)\/x)\/x))**(-1\/2)*x**(-4\/7)\/x*(x\/x**(-4\/3))\/x) assuming x is positive.\nAnswer: x**(-1079\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 12:29 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/(-55))\/(16\/14). Let l = 8\/11 - b. Determine p so that 0*p**3 + 1\/4*p**5 + 0*p**2 + l*p**4 + 0 + 0*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167 + -164. Put 8, -4, c in descending order.\nAnswer: 8, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194 - 193.903. Let s = v + -0.048. What is s rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 31. Let q = -41 + p. Let k = 100 + q. What are the prime factors of k?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6146 rounded to one decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513231.5 tonnes to grams.\nAnswer: 513231500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51129694.\nAnswer: 2, 7, 11, 332011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 31*w**2 - 5*w - 341. Let p(k) = -17*k**2 + 3*k + 170. Determine -7*p(r) - 4*z(r).\nAnswer: -5*r**2 - r + 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -8*l - 5*l - 19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*q - 13, -3*g - 4*q + 28 = g. Suppose b - 12*b = -748. List the prime factors of g\/(-12) + b\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*w = 2*w + 12, 5*j - 25 = 3*w. Suppose -o = -83 - j. Let t = -60 + o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82669.\nAnswer: 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 14 + 48 = 24 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 6*z**2 + 269*z**3 - 265*z**3.\nAnswer: 4*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4 - 38*s**3 - 78*s**2 + 278*s - 160 = 0.\nAnswer: -16, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -216*p. Let x(a) = 2*a. What is x(o(n))?\nAnswer: -432*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52501*v - 13048*v**3 + 6516*v**3 + 26251*v + 6525*v**3 + 26250*v.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**4 - 323*o**2 + 325*o**2 + 99*o**3 - 3*o**4 - 3032 - 101*o**3 wrt o?\nAnswer: -16*o**3 - 6*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 19 = -4*n, 0 = -5*n + 6*y - 10*y - 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 13*p**2 - 3 - 8 + 9 to w*p**2 + j*p + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -63, -1\/5, -26, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(121)\/(sqrt(11) + sqrt(33)\/sqrt(3))) + 1 + (sqrt(25) - sqrt(75)\/sqrt(3)*1)\/sqrt(5) + 5.\nAnswer: 2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 460*a*t**2 + 2*a*t*v**2 + 1317*a*t + 5*t**2*v**2 + t**2 wrt t?\nAnswer: 920*a + 10*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (191 + (-72010)\/380)\/(-3*(-14)\/128)?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and (8\/1)\/(-5 - (-603)\/117)?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/(-28))\/((-2)\/48). Suppose -2*z - 6 = -4*d, -2*d + 0*d = 2*z - y. Factor -78*t**2 + 31*t - z*t - 8 + 38*t.\nAnswer: -2*(3*t - 2)*(13*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45073114, -90146234, -135219356, -180292480, -225365606?\nAnswer: -270438734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(2\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n + n)*(-2*n**3 + 2*n**4 + 2*n**3 + (2*n**3 + 2 - 2)*(2*n + 4 - 4) + 46*n**4 + 29*n**4 + 4*n**2 + 13*n**4).\nAnswer: 94*n**5 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13135, 13162, 13231, 13360, 13567, 13870, 14287, 14836?\n\"Answer: 3*n**3 + 3*n**2 - 3*n + 13132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105653580 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, -12, -4 in descending order.\nAnswer: -0.4, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102 - -11112210?\nAnswer: 11200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.5 (c) 1 (d) 5445\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 + l. Let t be i(1). Let k(u) = 2*u + 3 - t + 4. What is the remainder when 38 is divided by k(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1607, -2788, -3969?\nAnswer: -5150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*v + 65. Calculate the remainder when v is divided by (-1)\/((-32)\/(-10) + -3) - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2 - 6*m. Let z be k(-4). Let j = z - -79. Let q = j + -28. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182*y**5 + 5113*y**3 - y**2 + 11093031*y.\nAnswer: 3640*y**3 + 30678*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (0\/3 + 0). Let n(j) = j**3 - 12*j**2 - j - 3. Let t(u) = u**2 + u + 1. Let d(z) = -n(z) - 6*t(z). Let k be d(5). Put 1, l, k in decreasing order.\nAnswer: 1, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**2 - 12*h + 24. Let m be u(3). Calculate the greatest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3853, -587, 1 in descending order.\nAnswer: 3853, 1, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000499475 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.379 - -0.021. Suppose 2*d - 99 = d. Let z be (6\/d)\/(4\/6). What is the closest to 2\/9 in z, y, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z + 11. Suppose 3*m + m + 28 = 0. What is the tens digit of j(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 at least as big as 3.92811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -36. Which is bigger: 4\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let c = 9 + -5. Suppose -4*s = -c, -3*s - 1 + 4 = n. Solve 3*u + 3*t = -o*t - 15, 2*u - 3*t = n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29584?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950895.1 years to months.\nAnswer: 11410741.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*q**2 + 10*q**3 - 4*q**3 + 4*q**4 - 5*q**3 + 40*q**2 + 26*q + 44*q**2 to m*q**2 + r*q**3 + a*q + o*q**4 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*10.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -77, -63, -21, 61, 195, 393, 667, 1029?\n\"Answer: 2*s**3 + 2*s**2 - 6*s - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19129829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfq when three letters picked without replacement from qplppllypcyplcpfpll.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - 15) + -112 + 48?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 (base 9) in base 6?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-16)*-8*(-192)\/(-640)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*2\/8*-8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 37*x**2 + 0*x**4 - 79\/6*x**6 + 0*x + 0*x**3 + 0*x**5 + 68. Find the second derivative of h(f) wrt f.\nAnswer: -1580*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -85, 2, -1, 8 in decreasing order.\nAnswer: 8, 4, 2, -1, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/11? (a) -0.03 (b) -2\/9 (c) 6 (d) 0.3 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 254752 and 95?\nAnswer: 1273760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/25, -38, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 210.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 273 and 1875835?\nAnswer: 39392535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -26369.7873 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-44)\/1254)\/((-1)\/3))\/1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.789 - -68.271. Let i = o + 0.94. Let h = i - 70.0000084. What is h rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2082.644 nanograms to tonnes.\nAnswer: 0.000000000002082644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - 7) + -2 - (1 - 23). Let n(f) = 2*f + 85. Calculate the remainder when n(b) is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*(-696)\/(-406)*(-14)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 2*z**2 - 2*z. Let d(j) = 5*j**3 - 9*j**2 + 11*j. Let w be (78\/(-104) - 1\/4)\/((-2)\/(-8)). Determine w*d(r) - 22*h(r).\nAnswer: 2*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 287 and 4763503?\nAnswer: 33344521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42981689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from {m: 1, l: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (56\/6)\/((-4)\/36). Is 12 a factor of 3 - (-3 + u\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:49 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136664, -274315, -411966?\nAnswer: -549617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 2*o + 18. Let k be t(-5). Let j(s) = 2*s**3 - 2*s**2 - 3*s + 3. Let i(l) = 6*l**3 - 5*l**2 - 8*l + 8. Determine k*i(g) - 8*j(g).\nAnswer: 2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 2*h - 4. Suppose -2*o = -4*o + 8. Let k(f) = -4*f - 13. What is the remainder when r(o) is divided by k(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6302527)\/66)\/(-49) + (-2)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3100206.\nAnswer: 2, 3, 516701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 365 divided by 60763.\nAnswer: 365\/60763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -128\/7 in -40, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*sqrt(156)\/(3*sqrt(12)) + 1.\nAnswer: -5*sqrt(13)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 221\/((-34)\/(-2)) - 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - 3*o**3 + 4*o**3 + (-o**3 - o**3 + 0*o**3)*(0 - 1 - 1) + 0*o**2 + 0*o**2 + o**3 + 17*o - 6*o**3 - 17*o as i + b*o + l*o**3 + n*o**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.49952kg to milligrams.\nAnswer: 66499520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-4 - -14 - ((-3 - 3) + 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -31*s**3 - 7*s**2 - 10*s + 8. Let w(p) = p**2 + 2*p - 2. Let v(m) = -a(m) - 7*w(m). Let c(h) = 30*h**3 - 3*h + 5. What is 6*c(f) - 5*v(f)?\nAnswer: 25*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:12 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4460880 by -5.\nAnswer: -892176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.1601215 + 15.16. What is x rounded to six decimal places?\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -5.4. Let p = n - 0.9. Let w = 3 + -2.9. Which is the biggest value? (a) w (b) p (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 24 = -7*a. Let m(f) = f + 23. Let l be m(a). Solve -26 = -3*o - l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 6*w**2 + 22*w + 36. Calculate k(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -735 by -245.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 11) + 6 + 1 - (116 + -101).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2128023 and 37\/188559.\nAnswer: 14896161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1341844 = -4*s, c - 26*s + 21*s = -335491. Let u be (-2)\/(-14) + c\/(-63) + 5. Round u to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 25\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 1 - (-47 + 30 + 10) - 23.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 25*z + 31*z - 62*z. Solve -13*n = 35 + z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {k: 2, f: 2, b: 1, j: 1, i: 5, e: 2}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -21*q + 8. Let d be s(-10). Is 18 a factor of d\/6 + (-2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/(-117))\/(4\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 733*g**3 - 29*g**2 - 52*g + 10. Let o be n(-21). Round o to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 1616?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7325*i**2 - 7313*i**2 - 7330*i**2 + 21966*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/(67\/201). Solve 0 = 2*c + n*c + 4*x, -c = 2*x - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10 + 3*p**2 - 5 - 6*p**2 + 12*p + p**3 - 5*p**2. Let f be s(6). Suppose f*x + 8 = 108. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135.2 - 134.2. Let q(n) = n**2 - 2. Let g be q(3). Let f = 1\/118 + 233\/354. Which is the second smallest value? (a) g (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2769 and 41.\nAnswer: 113529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 852579.4 millennia to decades.\nAnswer: 85257940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 15 = 4*o, 0*o + 5*o = 4*j + 5. Suppose 4*l = 4, 0*h + j*l = h + 1. Solve 5*y - 4*i = 7*y - 4, -i - 17 = -h*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/9675 and 67\/258.\nAnswer: 19350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**3 + 148*w**2 + 1564*w + 35234. Give m(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -3. Let i = 5 + p. Calculate the remainder when (-7)\/(21\/(-18)) - -2 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9102, 11647, 14190, 16731, 19270, 21807?\nAnswer: 24342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052943384 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2298, -5, 2, -2, -8, -1.\nAnswer: -8, -5, -2, -1, 2, 2298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d7 (base 16) in base 15?\nAnswer: -8dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -t + 4. Let f be ((-96)\/(-20))\/(-6) + t\/20. Determine u so that -f - 3\/4*u**2 + 9\/4*u = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 207124*m*z**4 + 58811*m + 2*z**4 wrt z?\nAnswer: 828496*m*z**3 + 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 201*h**8\/56 + h**5\/10 - 79*h**4\/6 + 3*h**2\/2 - 7*h - 88. Find the third derivative of u(v) wrt v.\nAnswer: 24120*v**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 8976?\nAnswer: 8976.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 9*j**2 + (4*j - 5*j - j)*(0*j + 2*j + 2*j) + (j + 0*j + j)*(-3*j + j + 4*j) + 1 - 1 + j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12406 - 12405.81747. What is n rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1093*w**2. Let y(x) = -16615*x**2. Calculate y(o(i)).\nAnswer: -19849093135*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16565258*k**2 - 40039*k - 10.\nAnswer: -33130516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6998 + 24777. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 5*m**2 + 6. Let x be w(-5). Let q(n) be the second derivative of 1\/2*n**3 - 3*n - 4*n**2 + 0. What is q(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/26)\/((1008\/(-234))\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147914.\nAnswer: 2, 29, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7537 + 10376. List the prime factors of d.\nAnswer: 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -70, 15, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 45 = -4*q. Suppose -m + 5*d + 329 = q, -d = 5*m - 1440. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040 is divided by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 271, 277, 187, 7, -257, -599?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1253, -1113, -731, 13, 1239?\n\"Answer: 20*l**3 + l**2 - 3*l - 1271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 - 2*k**2 - 2*k + 3. Let a = -90 - -100. Let j be ((-4)\/18*-3)\/(a\/45). Let y(u) = -u + 1. What is j*y(w) - n(w)?\nAnswer: -3*w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**11\/55440 + w**7\/840 + w**4\/3 + 4*w. Let n(c) be the third derivative of g(c). Find the third derivative of n(r) wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/10 - -11\/15. Let m(w) be the third derivative of -1\/30*w**5 - 1\/105*w**7 + 0*w**4 - 2*w**2 + 0*w + 0 - n*w**6 + 0*w**3. Determine x so that m(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2397.\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 82 = -i, 4*m - 4*i + 146 = -30. Let r be ((-3)\/(-1))\/((-2)\/m). Does 15 divide r + (-2 - (5 + -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -629058781.3819068 - -629058660. Let r = i - -121.0519. Let s = r - -0.33. Round s to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12025 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101228?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -263 (b) -3 (c) -1 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*n + 68 = -46*n. Find the third derivative of n*a**3 + 25*a**2 - 8*a**2 - 43*a**3 wrt a.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*(-96)\/9*144\/(-672)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:52 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 4*v**2 - 2*v**3 - 2*v + v**2.\nAnswer: -2*v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 4*j - 8 = 16*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbopkniopnpbopp. Give prob of picking 1 k and 1 i.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -143, -142, -141?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -2\/7 (c) 0.4 (d) 1.2 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-12))\/(125616\/7168 + -18 + 6\/14)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.88886 - 23.078. Round j to three dps.\nAnswer: -0.189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10297552 is divided by 205950?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*q - 18*q - 2784 + 2785 - 8*q**2 - 34*q**2 to x*q**2 + y + k*q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 13*a + 5408 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*((-2 + sqrt(1900))*-5 - 6*(sqrt(1900) + -4)))**2.\nAnswer: -16636032 + 538560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 6:51 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 2898197?\nAnswer: -28981a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141.22 - -1.22. Let a = x - -139.882. Let k = a + 23.318. What is k rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 31\/5 (b) -0.5 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33816 and 9015?\nAnswer: 101617080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4072)\/(-42756)*10\/25*-3*-45.\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.99, 0.3, 4 in descending order.\nAnswer: 4, 3\/2, 0.99, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -1831, -6190, -14675, -28660, -49519?\nAnswer: -78626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 86\/(-10) - (-8)\/(-20). Let k be (-2)\/x - 48\/(-27). Let v be (45\/(-2))\/(k\/24). Round v to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1116 and 49721892.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 4*t + 2. Let m be i(-4). Let p = 2 - m. Is -25*(p + 3\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = 7. What is the closest to -0.1 in j, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-35)*17*20*3\/(-24)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 29)*(5 - 4). Let r = w + 48. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*y**3 + 493649*y**2 - 721495538*y wrt y?\nAnswer: 54*y + 987298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7307 - 7293. What is the remainder when 1655 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.75 - -0.67. Let i = w + 7.08. Let d = -7.325 + i. Round d to 2 decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -63*x**2. Let t(z) = 68 + 82 - 150 + 17*z. Give t(d(a)).\nAnswer: -1071*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49851*l - 2*l**2 + 4*l**2 - 50154*l.\nAnswer: 2*l**2 - 303*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(224) + (-1*(sqrt(56) - (sqrt(504) - sqrt(56))) - sqrt(56)))\/((sqrt(48)\/(sqrt(8) + sqrt(2)))\/sqrt(3)).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 6. Let k(y) = 3*y + 6. Let x(u) = 2*u + 6. Let m(n) = j*k(n) + 7*x(n). Find the first derivative of m(r) wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 11 = 2*h + 11, 0 = 4*l - 3*h - 39. Suppose -6*t - l = -8*t. Solve -23 = -5*z - 4*r - 58, -4*z + 3*r + t = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 37 + 39 + 37 - 113.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, y: 2, o: 1, b: 9, i: 3}. What is prob of sequence iz?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = -2*l + 4*l - 40 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*x = j, 30 = j + 5*x. Suppose 5*z - 20 = -0*z - 5*d, 5*d = j. Which is greater: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/4 + q**3\/2 + q. Let o(x) = 2*x**3 + x. Let g(r) = 4*k(r) - 9*o(r). Find the second derivative of g(p) wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 3*b - q - 5, 5 = 5*q. Let g be ((-12)\/(-135))\/((-2)\/3). Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816855 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 635*j**2\/2 - 17468*j + 17150.\nAnswer: (j - 50)*(j - 1)*(j + 686)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(11) + 0 - (sqrt(11) - (sqrt(121) - 2*sqrt(121))\/sqrt(11)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 15*u + 19 + 1 + 15*u - 31.\nAnswer: 30*u + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x**(1\/7)*x))*x\/(x\/(x**2*x))*(x**2)**(-33) assuming x is positive.\nAnswer: x**(-433\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 1424*i**3 - 671112*i**2 + 102360832*i + 1092153520.\nAnswer: -(i - 478)**3*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6930 divided by -11.\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a - 20. Suppose 254 = a*q + 30. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(16\/7)\/((v*v*v*v**7)\/v) assuming v is positive.\nAnswer: v**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87.64471l?\nAnswer: 87644.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -183, -4, 1.\nAnswer: -183, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 5976 + 5756 = 0. Let h(z) be the second derivative of 0*z**2 - p*z - 2\/3*z**4 - 9\/10*z**5 + 0 + 0*z**3. Find the third derivative of h(w) wrt w.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*j + 139*j + 6703 - 1705 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 14) in base 11?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.1 + -11. Let f = 18393 + -17605.1. Let s = f + -788. Which is the third smallest value? (a) q (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7989?\nAnswer: 3, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**4\/12 + w**3\/6 + w**2. Let v be d(-1). Find the second derivative of 0*z - 5*z**2 + z + v*z**2 wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0866129 and 3741.\nAnswer: 3740.9133871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 104.7*-0.06\nAnswer: -6.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*w = -73*w + 6120 - 34461 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 3. Let c(x) = -x**3 + 5*x**2 + x - 5. Let o be c(5). Let j = q + o. Sort j, -3, 0.\nAnswer: -3, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3271, 21666, 70287, 164248, 318663, 548646, 869311?\nAnswer: 1295772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10*c = 9*c + 3, 0 = -4*t + 2*c + 18. Let p = 0.08 - 20.08. Let w = -22 - p. Sort -0.2, t, w in decreasing order.\nAnswer: t, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**6 - 9*g**4 - 6*g**3*k + 7*g**2 + 9*g*k - 2*g wrt g?\nAnswer: -240*g**3 - 216*g - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2008543, 2008476, 2008409, 2008342?\nAnswer: 2008275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/((-4)\/66). Let h(g) = -13*g**2 + 6*g - 15. Let s(f) = 6 + 7 + 7*f**2 - 3*f - 5. Let n(y) = v*s(y) + 6*h(y). Determine w so that n(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(10\/3)*(b\/(b\/(b*b\/(b\/(b\/(b**(-1\/4)\/b)*b)))*b))\/b assuming b is positive.\nAnswer: b**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -52 + -1 - 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/871 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -8 + -74 + 150 + -88.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 8*k**2 - 10*k**5 + 26*k**5 - 15*k**3 - k - 8*k**4.\nAnswer: k*(k - 1)*(k + 1)*(4*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 5:10 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, 6 in decreasing order.\nAnswer: 14, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -7620785?\nAnswer: -7620785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6479 - -6501. Calculate the smallest common multiple of 34 and y.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -69342174.\nAnswer: -69342174, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:20 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 4*o**3 - 11*o**3 + (4*o**2 + 2 - 2)*(-4*o + 4*o + o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*f - 16, 5*f + 2*b = 3*b + 7. Suppose -r + 4*l = -0*l, -r - 2*l = 0. Suppose p - 1 = -r*p + 3*x, -p + 1 = 5*x. Solve p = w - f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/232 and 51\/16?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 64*h**2 - 2*h - 1. Determine w(-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -298 - -302 - (1\/19)\/(1\/77)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l - 18 = -30*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*x + 1858 = x, -u - 5*x = -596. Calculate the remainder when u is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 751 - 211. Is 220056\/c - 1 - 4\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-5143774\nAnswer: -15431322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -188, -1638, -4236, -7982?\n\"Answer: -574*r**2 + 272*r + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -209729\/3, -3\/2, -1, -5?\nAnswer: -209729\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 - 6*s**4 + 6*s**4 - 3*s**4 + 3*s**2 - 3*s**2 + (-2*s**2 + s**2 + 4*s**2)*(-3*s**2 + 0*s**2 + 2*s**2).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/30035574 and -115\/3642.\nAnswer: 30035574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((190\/38)\/30*6*1)\/(-36).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65.1 - -65. Let u = -0.6 - -0.9. Which is the nearest to g? (a) -1\/3 (b) 4\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 415425096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 88 = 3*a - 4*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 933944719 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1772\/55818 - (-1426)\/63) + -22?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35763041*p + 2*p**3 - 35763041*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*75\/20)\/(205\/(-123))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-31720)\/52)\/122)\/(50\/(-8))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1252 + -1187. What is the greatest common divisor of a and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + -4.92. Let t = 4.999998 + l. What is t rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 5 (c) -9 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*g + 8. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1*166\/(-10))\/(14\/175*10) and -37\/2682?\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. Let d be g\/16 - 3\/(-4). Let i(v) = 3*v**3 + v**2 - v + 1. Let y be i(d). Solve 0*n + 3*n - s = -10, -5*s = -y*n - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - -4715?\nAnswer: 4666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*t - t - v, -15 = -3*v. Suppose 2*a - 3*u = -t - 5, -25 = -4*a - u. Solve -a*k + k + 2*w = 16, -4*w = -3*k - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/5 and 39\/82.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -458.5 + 458. Which is the third smallest value? (a) 5 (b) -84 (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 42*s + 34. Let f(c) = 13*c + 11. What is -16*f(l) + 5*i(l)?\nAnswer: 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3.6. Let q = -1.4 + s. Let r = -144 - -1006\/7. Put -2\/3, r, q in ascending order.\nAnswer: q, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1203\nAnswer: -1203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -228 and -271.\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 2*d + 75. Let b be r(15). Let a be (b\/2)\/((-1)\/(-2)*-3). Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 648475338*w**4 + 606636179.\nAnswer: 2593901352*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/8 - 5*a**3\/6 - a**2\/2 + 2*a. Let f(u) be the first derivative of k(u). What is f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114? (a) -1\/4 (b) -0.01 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-15 + 2 + 7)) + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10956 is divided by 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -40 (c) 3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4991 take away 0?\nAnswer: -4991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14 - -12 - (-3 - -1). Solve 4*u + 20 = 2*s - u, 5*s - 4*u - 16 = r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.701 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + -0.9. Let w = -2008 - -2009. Which is the third biggest value? (a) w (b) 37 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 + 15*s + 18. Let d be l(-1). Which is the smallest value? (a) d (b) -7 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -43, -54, -71, -94?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(0 + -1 - -6). Let l be (0 - c) + -2 + 5. Suppose -5*o - s = 2, 0*o + 4*s + l = -o. Solve o = 4*f + 21 - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 0, -2*c - k = k + 2588. Let h = -679 - c. Is (6\/(-2))\/((-6)\/h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*(sqrt(5) + -1)*-4 + 0))**2 + sqrt(30)\/(sqrt(726)*2) + 4*(sqrt(5) - ((1 + sqrt(5))*6)**2).\nAnswer: -63271*sqrt(5)\/22 + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 59639?\nAnswer: 5\/59639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -338 + -239?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11846 - 11846.3. Let q = -4 - -8. Let d = 3607\/156 - 306\/13. What is the nearest to -1 in q, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 3*q**2 + 19*q - 5. Let m = -328 + 332. What are the prime factors of g(m)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1067392536*h**5 + 955652*h**2 + 8*h + 9?\nAnswer: -64043552160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 - q**3 + 32*q**2 - 20*q**2 + 2 - 19*q**2 + 0*q**3 as z*q**3 + k + v*q + g*q**4 + s*q**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1564\/58991?\nAnswer: -1564\/58991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:40 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -151*m - 82. Let r(n) = -302*n - 151. Let l(j) = 5*p(j) - 2*r(j). Find the first derivative of l(v) wrt v.\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/24*(-1)\/((-2)\/(-4))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24865*i + 24870*i - 49737*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 25*m + 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*j + 793, -78*j + 475 = 3*c - 76*j. What is the remainder when 580 is divided by c?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 278551*u**4 + 16*u**2 + 14725659 wrt u.\nAnswer: 1114204*u**3 + 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 9*f = 36. What is the units digit of 2*1\/2 + f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 7668?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.281229 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011 - -10010101?\nAnswer: 100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1463 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182.8 - -183.1. Suppose -3*k - f = 18, 3*k + 6*f = 4*f - 21. Let i = 11 + k. Which is the second biggest value? (a) 5 (b) q (c) i (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 18 = -66. Suppose -2*f - f - 40 = -a, 3*f = 3*a - 120. Let c = a - z. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.2 (b) 0.07 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424 divided by 424.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:28 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n*n*n*n\/(n**(-1)\/n*n)*n)*n*n)\/n))**(9\/11)*(n**1*n)**(-1\/4) assuming n is positive.\nAnswer: n**(79\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 8. Suppose 0 = m*c - 0*c - 60. Let f be 4\/14 - (-836)\/14. Calculate the highest common divisor of c and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3004213, 3004215, 3004217, 3004219, 3004221, 3004223?\nAnswer: 3004225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 625, 1239, 1853, 2467, 3081?\n\"Answer: 614*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 11*o + 149 = -10*o, 91 = 2*y - o. Let k = 330 - y. What are the prime factors of k?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {r: 6, z: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**2. Let p(g) be the first derivative of -g**4\/12 - 12*g + 8. Let q(t) be the first derivative of p(t). Calculate z(q(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = 4. Let h be 3\/(-1)*l\/(-6). What is the units digit of h + 1\/1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11950645.\nAnswer: 5, 7, 341447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*r - 2010, -4*h + 9*r + 1608 = 8*r. What is the remainder when h is divided by 402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 3*g**2 - 4*g + 4. Let m be p(2). Suppose m = -13*r + 4*r. Suppose -10*x + 4*x + 114 = r. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/sqrt(90) + (sqrt(68))**2 + 3 - sqrt(34)\/(sqrt(2) + sqrt(2) + (sqrt(2) - (sqrt(2) + -2*sqrt(162))))*2.\nAnswer: 7*sqrt(17)\/30 + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*12*550\/(-165))\/(((-48)\/6)\/(-4))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 + -9.4. Let f = p - -17. What is the smallest value in f, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1191 + -1086 - (57 + -2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/569 and -25\/3414.\nAnswer: 3414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2772\/(-6237)*(-2412)\/(-16).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4574409*d + 5*d**2 - 50*d**2 + 4574404*d. Let l(m) = -m. Calculate h(l(j)).\nAnswer: -45*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0.5. Let v(m) = 2*m**3 - 22*m**2 + 15*m + 57. Let b be v(10). What is the smallest value in b, 2, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194768101 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -24. Let p(b) = 2*b**2 - 8*b + 9. What is the units digit of p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1149\/3502 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-6)\/(-39) - (11 + 5924\/(-26)) and 1085.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:31 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/((-78)\/260)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3259*p - 10988. Determine o(3).\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*h**2 + 8\/3 - 8\/3*h.\nAnswer: 2*(h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0 (c) -0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 141 + 40 + 15 + 22*j + 44.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -8163*s**5\/20 - s**4\/4 + s**3\/2 - 4*s**2. Let w be (7 - -1) + (-2 - -1). Let p be f(w). Round p to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 4*d + o + 8 = -3, -3*d - 10*o + 3 = -7*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12674585 divided by 5\nAnswer: -2534917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(13)*-2 + -3)*3 - -3*(-5 + sqrt(65)\/sqrt(5))) + 5)**2.\nAnswer: 3750*sqrt(13) + 18550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 h when four letters picked without replacement from {h: 1, j: 3, q: 3, n: 1, p: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1015*w - 506*w - 520*w + 53)*(w**2 - w**2 + w**3).\nAnswer: -11*w**4 + 53*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01006826102 to five dps.\nAnswer: -0.01007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2213, -2673, -3135, -3599, -4065, -4533?\n\"Answer: -q**2 - 457*q - 1755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/(((-42)\/(-7))\/(-36))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 5:59 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -3. Let f(r) = -35*r + 2. Let o be f(-1). Let v = c - o. Let d(j) = -j**3 + j**2 - j - 1. Determine d(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 3754, 14518, 32456, 57568, 89854, 129314?\nAnswer: 175948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4506, -6, -2, -1 in increasing order.\nAnswer: -6, -2, -1, 4506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910898713.\nAnswer: 43, 89, 238019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -6. Let h be 3\/6 - (-2)\/u. Let a = 2961\/11 - 269. What is the closest to h in a, 5, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + -2. Let o = -8 - i. Sort o, 2\/7, -1\/5 in decreasing order.\nAnswer: o, 2\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 5*p**2 + 4*p - 4. Let l(x) = x**2 + x. Let o be (-32)\/(-6) + 13\/(-39). Let a(z) = o*l(z) + k(z). What is the units digit of a(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1806 and -107\/860.\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*q**4 - 2227*q**3 + 2*q**2 - 9351269*q wrt q?\nAnswer: -1116*q**2 - 13362*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/((sqrt(2) - -3*sqrt(2)) + sqrt(2)))**2 + -4 + (sqrt(175)*3 - sqrt(175))*-5.\nAnswer: -50*sqrt(7) - 93\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:14 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47376 = 19*q - 28*q - 121*q + 1138*q for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -9.9. Which is the closest to v? (a) 3\/5 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d\/d**(-1\/10))\/((d\/d**(14\/9))\/d*d))\/(d**(3\/7)*d\/(d\/(d*d**(13\/3)*d))*d*d) assuming d is positive.\nAnswer: d**(-2587\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = q - 2*d - 3, 5*q = 5*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31304 and 766?\nAnswer: -239.78864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + 96?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {r: 1, t: 1, j: 2, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:21 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7917 divided by 29?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2913)\/(-12) + (-2)\/(-8). Suppose 3*f + z + y - 604 = 0, 103 = f - 4*z. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = -26. Suppose 5*j = k + 142, 3*k = j + 4*k - q. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -5*u**4\/12 - 635*u**3 - 725805*u**2\/2 - 1864*u. Suppose k(v) = 0. What is v?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16200, 16357, 16510, 16659, 16804, 16945, 17082?\nAnswer: 17215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.369 and -0.02316.\nAnswer: 0.00854604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*w - 2*w - 2*a, -5*a - 8 = -w. Suppose 2*z - 89 = 3*f, 0 = 3*f - 0 + w. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406100.\nAnswer: 2, 5, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.387, -0.4 in ascending order.\nAnswer: -0.4, 0.387, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*g - 356*g + 21 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**3 - 56*g**2 + 55*g - 34. Let a be f(-15). Solve -a - 47 = -11*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/578 and 30\/3757?\nAnswer: 7514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 1\/3 (c) 2\/13 (d) -2\/17 (e) -0.48 (f) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) 1 (c) 0.0572\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/902320 and -23\/67674.\nAnswer: 2706960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 27*j + 56. Calculate g(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.541031 - -0.5831. Let s = -0.3 - -0.258. Let u = s + y. Round u to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvydeye. What is prob of sequence yd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, -2\/9, 7\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124323247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16401?\nAnswer: 3, 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 732283771 + 732283771.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8*i - 12. Let x be i\/(-3)*(-1 + (-62)\/4). What is the units digit of (x - 8)\/(2*6\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**4\/8 + 41*f**3\/6 + 8*f**2. Let c be h(-13). Solve 1 = c*n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379097072 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((416*f + 30*f - 60*f)*(0 + 4 - 5) - 4*f + 6*f - 3*f + 0*f + 0*f + f + (2 - 3 + 3)*(-3 + 3 + f))*(2*f**2 - 2*f**2 - 2*f**3).\nAnswer: 768*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410 (base 9) to base 15.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 5, -2 in descending order.\nAnswer: 12, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33146*k + 39*w = 33142*k + 40*w + 21, 0 = 3*k - 5*w - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -20. Solve -l + 0*l + x*m + 2 = 0, l - m = 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*a = -2*a + 9, -22*c + 2*a + 97 = 23 - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355, -324, -265, -166, -15, 200, 491?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -343\/110 - -12\/55. Let r = -29449\/18 + 1635. What is the common denominator of r and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*y**4\/7 + 10686*y**3\/7 - 72426*y**2\/7 - 71724*y\/7 - 16416\/7 = 0. Calculate y.\nAnswer: -1\/2, -2\/5, 8, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15*((-92)\/28 - (-2)\/7). Suppose -4*p + 6*p - 60 = 4*b, 3*p - i = -3*b. Solve 3*l + p - 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -398298136*d**2 + 5108*d + 16228.\nAnswer: -796596272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 206 + 1323122?\nAnswer: 1323330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 + 3*v**2 - 4. Let b = 0 - -4. Let c(n) be the first derivative of -2 + 0*n**2 - 9\/4*n**b + 9*n - 7\/3*n**3. What is -6*c(g) - 14*s(g)?\nAnswer: -2*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/12 - 2\/(-4). Let c be 70\/(-14)*g\/(-20)*4. Solve c*h = 9*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, n: 2, g: 1, y: 1, b: 1}. What is prob of picking 1 g, 1 n, 1 b, and 1 y?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/5 - 1279016*p\/5 - 53711616\/5.\nAnswer: -4*(p + 42)*(p + 319712)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/sqrt(44) - sqrt(17) - 2*sqrt(17)*4) + (sqrt(17) + sqrt(612) + -1 + 3 + sqrt(17) + -2)**2.\nAnswer: -17*sqrt(17)\/2 + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 81*j - 248. What is m(-84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2400155?\nAnswer: 5, 71, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 274*v - 4249. Calculate p(119).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -458 + 461. Solve v + v + c = -1, z*c + 21 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -6 - (-4)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 14 + 20 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -387*d**3*l - d**3 + 48*d**2 wrt l.\nAnswer: -387*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, -0.4, -0.40689 in increasing order.\nAnswer: -118, -0.40689, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d - 179. Let l(m) = -2. Determine j(i) - 3*l(i).\nAnswer: 5*i - 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.6799, -2, 2\/53, 5?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.051, 1512938, -6\/7?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(11\/(-33)*1*3). Suppose f + 58 = 2*w, -r*f = -2 + 6. What is the smallest common multiple of w and (-94)\/(-6) + (-3)\/(-9)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3)*(-712)\/37380*42\/(-9).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2606 divided by -1?\nAnswer: 2606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21299053218 - 844?\nAnswer: -21299054062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21115585.\nAnswer: 5, 4223117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -3*j - 160. Let t be 2\/(-8)*(-5)\/(220\/j). Which is the nearest to -1? (a) -0.02 (b) 1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let k be (j + 1)\/(-2 + 5). What is the nearest to k in 2\/17, 2, 1\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -164001, -163821, -163641, -163461, -163281?\n\"Answer: 180*d - 164181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 4*n - 10. Determine t(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 230 + -233. Let s = 0.996 - -0.004. Which is the nearest to s? (a) 14 (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/1578960 and 13\/219300.\nAnswer: 7894800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6096354.05600082 - 6096354. Let n = -0.056 + v. What is n rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -a10c95?\nAnswer: a10c99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**2 + 114. Suppose 0 = 4*x - 8*x + 8. Let m(a) = -2*a + 2*a + x*a. Determine w(m(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 67 - ((-23 - 1) + (1408 - 1385))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + u - 2. Let s(q) = -3*q**2 + 0*q + q**2 + q - 2. Suppose -8*y - 14*y = 66. Suppose 3*n - 4 = n. What is n*s(m) + y*z(m)?\nAnswer: -m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82880563 is divided by 45841?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2, 4*h - 10 + 5 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 28, 112, 282, 568, 1000, 1608?\nAnswer: 2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.53 + -0.15. Let z = 0.02 + s. Let t = -1 + 1. Which is the nearest to -2\/5? (a) 2 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*h - 21, 2*n + 8*h - 3364 = 0. Is 92 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.7 - 4.4. Which is the nearest to y? (a) -0.2 (b) -10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*y - 27, 5*q + 1316 = -4*y + 1279 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-118)\/1 + 0)*(138\/3 + -47)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017841337 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0 - 5*c - 3\/2*c**2 - 5\/3*c**3. What is the derivative of h(k) wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 44 = 14. Let f be (-12)\/(-10)*b\/(-6). Suppose 116 = f*d + 16. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.58 + -2.2. Let k = i + -0.5. What is k rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29021223 divided by 9673741.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -8.06\nAnswer: -16.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 528997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 372.2721 + -0.2721. Which is smaller: 11 or o?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + (-20)\/8)\/(1\/48). Suppose -3*f + 45 = 4*x, -4*f - 2*x = -6*x - 32. Calculate the smallest common multiple of b\/72 + (-22)\/(-3) and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -42*j - 135. Let a(p) = 38*p + 124. Give 7*a(n) + 6*g(n).\nAnswer: 14*n + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 761400.6ng?\nAnswer: 761.4006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16100 is divided by 121.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6440100 - 3?\nAnswer: -6440103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 33*f - 31. What is the hundreds digit of b(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = -2*i, 4*i + 1 = -2*f - 3. What is the third derivative of -8*s**f + 445*s**5 - 441*s**5 - 3*s**2 wrt s?\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -290*v + 84*v - 90*v - 28. Let y(a) = 59*a + 6. Let d(n) = 2*u(n) + 11*y(n). Differentiate d(s) with respect to s.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.3, 1, -1175, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 9608564.\nAnswer: 76868512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:12 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10933 + 10944. Solve l = -4*a + 3*s, a + 115*s - 112*s = -14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.3 + -0.3. Let z = f - 12. Let b = 324.7 + -325. Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 127 = -2*w - 6*z, 0 = 5*z + 15. Suppose -k + 4*f - 29 = -2*k, 0 = -4*k - f + w. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 56. What is the smallest common multiple of v(7) and 65?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, i: 12, t: 2}. What is prob of sequence iit?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 46 = -u + 3*v, 0 = 3*u + 5*v + 124. Let b = -43 - u. Suppose -4 = -b*z + 2*z. Sort 1, -5, z, -1.\nAnswer: -5, z, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 7. Let x be (-1)\/(-2)*804\/a. Let s be x\/(-6) - (-1)\/2. What is the highest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 396\/23 + -5460\/253. What is the common denominator of -51\/5 and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5720\/3 - -1925. Calculate the common denominator of 76\/3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 19 + 9 = 4*v, -5*n - 5*v = 15. Find the common denominator of (-6)\/50*410\/n and -93\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 0 + 3\/14*c**7 + 0*c**2 + 5*c + 0*c**3 + 0*c**5 - 4\/3*c**4 + 0*c**6. Find the third derivative of u(j) wrt j.\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -1760.\nAnswer: 23\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -23*r - 5. Let p(v) = 80*v + 17. Let c(j) = 7*o(j) + 2*p(j). Let u = 6 - 4. Determine c(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 7. Let j be u(-1). Let p(t) = -48*t + 86. Is p(j) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 18*g**2 - 27*g + 187. Calculate q(20).\nAnswer: -1153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 58 = f, -b + 5*b + 5*f = -227. Let n be 22\/4 + b\/42. Solve -2*s = o - 4, n*o - 3*s + 23 = 2*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -10*n + 1382. Let v be j(101). Which is smaller: 382 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1356804382 to the nearest integer?\nAnswer: 36835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 - 852215?\nAnswer: -852245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -95003540?\nAnswer: 95003540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1\/((-3117)\/30)). Let b = -213 - -109. Let c = b + a. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8349720*b**3*i**3 + 4*b**2*i**3 + 85596*b**2 wrt b.\nAnswer: 50098320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 7:37 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 2*g**3\/3 + 3*g**2\/2 - 9*g + 4. What is the remainder when 32 is divided by c(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + 79*y**2 + 225*y**2 to the form a*y + h + j*y**2 and give j.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 - -69.7. Let v = 4.17 + 0.53. Let l = v - d. Sort -2, -1\/6, l in decreasing order.\nAnswer: l, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffissnikikfsnikfskn. Give prob of sequence ffs.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -65. What is the highest common factor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/21 + 6\/126*12. Suppose -8 = -p - p. Find c such that 4\/7*c + 2\/7*c**5 - y*c**2 - 6\/7*c**3 + 2\/7*c**p + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -235 - -245. Suppose 8*y + 51 = d*y - 3*m, -4*y = -3*m - 87. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99.5 - 98.321. Let a = -1.303 - -0.023. Let g = a + u. Round g to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 5*i**2 + 3*i - 4. Let a be t(-3). Let w = 0 + a. Suppose 499916 = -w*s - 1350084. Round s to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68886 (base 9) to base 15\nAnswer: d919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 364346 or 364344?\nAnswer: 364346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 113 = -5*a, -6*a = 2*r - 11*a - 59. Calculate the greatest common divisor of 813 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 9:29 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/1885014 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 131*z - 153. What are the prime factors of i(8)?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:49 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 h, and 1 k when three letters picked without replacement from bkkkh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (4 + (-2 - 0)). Let m be 0\/((-1)\/((-2)\/c)). Suppose -2*p + 5*p - u = 7, -2*u + 10 = 0. Solve -l - p*k = -m*k - 15, -14 = -2*l - 4*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1655 = -311. Let m = l - 361. Calculate the greatest common factor of 58 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20466010*m*y + 20560997*y wrt m.\nAnswer: -20466010*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3951518 years to millennia.\nAnswer: 0.0003951518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*((sqrt(180) - (sqrt(180) + (1*sqrt(180) - sqrt(180)) - sqrt(180))) + sqrt(180) - sqrt(180)) - sqrt(180))\/sqrt(4))\/(3*2*sqrt(9)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338, 2406, 8076, 19154, 37446, 64758, 102896?\nAnswer: 153666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.4. Let d = 0.1 - l. Which is the nearest to d? (a) 4\/7 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 13 = 5*u - 34, 0 = -5*u + s + 17. Suppose u*n - 27 - 27 = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.85, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 16*x**2 - 47*x + 2. Calculate n(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80788, 0, 1 in ascending order.\nAnswer: -80788, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + 0. Let w = 22 - t. Put 4\/5, w, 0.4 in descending order.\nAnswer: 4\/5, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208034\/696465 - -2\/10395. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - 2*h - 2, -5*h - 15 = 0. Suppose -2*o + 92 = -t*o. What is the remainder when o is divided by (-28)\/(-2) - 2\/(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3*(-2)\/(-6). Let a = 4842.5 - 4842. What is the biggest value in -4, a, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 182, 204, 228, 254, 282, 312?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11761799 - -1281799. Round m to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*b**3 - 57*b**3 - 133*b**3 + (0 - 4 + 3)*(34 + 24 - 94)*(0*b**3 - b**3 + 0*b**3).\nAnswer: -165*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/15655, -0.1, 5, -9 in descending order.\nAnswer: 5, 1\/15655, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6544854, -6544872, -6544890?\n\"Answer: -18*x - 6544836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 19, 4\/7, -105, 0.3 in descending order.\nAnswer: 19, 4\/7, 0.3, -1\/4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2770 and 118116.\nAnswer: 163590660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 > 39\/92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-70) - 384\/42 - -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 - -2.4. Let h = -1.89 + -2.12. Let f = h - -0.01. Which is the nearest to 0? (a) 4\/3 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2333363075?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4 + 2*((-3*sqrt(112) - sqrt(112)) + 0 + -1))*-5)**2.\nAnswer: 9600*sqrt(7) + 180104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - h - 28 = 6*p, -5*p + 70 = 3*h. Suppose 3*n = -17 + p. List the prime factors of (-224)\/21*n*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 5*t**2 - t + 5. Let a(o) = 4*o**3 + 18*o**2 - 4*o + 20. Calculate 6*a(s) - 22*g(s).\nAnswer: 2*s**3 - 2*s**2 - 2*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-30) - 792\/(-135). Suppose -3*l - w = -15. Let a be -2 + l - (-8 - -2). Calculate the highest common divisor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 589, 866, 1125, 1360?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000110 (base 2) to base 7.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 97.\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 84?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 + 9*f + 6. Let z(s) = -2*s**2 + 3*s + 2. Calculate -2*c(w) + 7*z(w).\nAnswer: -4*w**2 + 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -503*m**5 + 235*m?\nAnswer: -10060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22774631.\nAnswer: 11, 2070421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (5\/12)\/(1\/9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23923 + 23919.7. Suppose -4*b + 2 = -2*b. What is the third biggest value in -3, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 47.77034, -5?\nAnswer: 47.77034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:35 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*a + 5*v, -19*a + 24*a + 2 = 3*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.4 - 34.5. Let s = -2.03 - -0.03. Which is the closest to s? (a) -3 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglargfna. Give prob of picking 2 l and 1 r.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6028861616 and 632.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.06 (c) -26\/11 (d) -0.8 (e) -6\/7 (f) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(26 + -2)*((-48178)\/52 - 20). Round u to the nearest one thousand.\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(114) + sqrt(114) + sqrt(114) + sqrt(114)*2))\/sqrt(6) + 1)**2.\nAnswer: 10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 85843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 + 16*b**2 + 90*b + 110. Calculate the remainder when z(-6) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(0 + (-2)\/(-4)). Suppose 4 = 4*h - v, r = -4*h - 3*v - 5 + 25. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20799.6767 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322 and 13041?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100100 (base 2) to base 7\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 12:25 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 72*x**2 + 8*x + 14. Let o = 129 - 132. Let l be u(o). What is the highest common factor of l and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*p - 32 - 38*p + 41*p.\nAnswer: -173*p - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 13*b - 3*q - 91736 = 0, 0 = -4*b + 2*q + 91736. What are the prime factors of b?\nAnswer: 2, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -55*o. Let r(d) be the second derivative of d**4\/24 - 9*d**2 - 88*d. Let p(h) be the first derivative of r(h). Give p(x(n)).\nAnswer: -55*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 38. Let f be (1\/(-2))\/((-2)\/r). Solve -f = 6*v - 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 74892\/7 - 99789\/7*f**3 - 15\/7*f**5 - 245283\/7*f**2 - 10428*f - 2409\/7*f**4 = 0. Calculate f.\nAnswer: -79, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339484460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -33*m**3 + 5*m - 5. Let w(d) = 50*d**3 - 8*d + 8. Calculate 8*u(k) + 5*w(k).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43\/2 + 21. What is the nearest to 1 in 3, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*o**2*q - 20*o**2 - 622*o*q - 2*q + 1499672 wrt o.\nAnswer: -14*o*q - 40*o - 622*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + g**2 - g - 1. Let c be ((-2)\/4)\/(2\/8). Let m be d(c). Let n(w) = w**3 + 4*w**2 + w - 4. Let s be n(m). Is s at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1148 divide 510909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 10:18 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*z + 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300777 and 1819?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 12*a**2 + 19*a - 78. Let y be k(13). Let m = 301 + y. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) -0.5 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((108\/16)\/(-9))\/((-12)\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, p: 3}. Give prob of picking 3 u and 1 p.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 2:26 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 737380 to the power of 1\/2, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -66063.99.\nAnswer: 198191.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:02 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**2 + t - 5. Let v(a) = a**3 - 6*a**2 - 5*a - 15. Let f be v(7). Let b(l) = -l**2 + 1. Calculate f*d(c) - 6*b(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -128*z + 2. Let u be o(-1). Let w be 4\/6 - 1596\/(-9). Suppose -7*c + u = -w. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 6*b + 12. Let t be x(-7). Suppose 0 = -n - 3*s - t + 2, -4*n - 3*s - 3 = 0. Let k(l) = -7*l + 60. Is k(n) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.4265 (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -7*i**2 + 0 + 0*i**3 + 1\/6*i**4 - 2*i. Differentiate u(b) with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 239 = 4*c - 651, 4*c + 2*b = 884. Solve 17*r + 39*r = c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/18*138\/(-230).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 4. Let x = v - 2. Let m = 6 + x. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3476.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35813808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 + 2 - 12) + 2035\/148)*(3 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12452, 24255, 36036, 47783, 59484, 71127, 82700?\nAnswer: 94191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t**2 + 15*t + 50. Let l(d) = -23*d**2 + 30*d + 105. Let g(b) = -3*l(b) + 7*u(b). What is g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 2*g - 282. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/9 and 13\/750.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 1 (c) -0.4 (d) 0.6 (e) 0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 32*s**3 + 23884*s**2 + 4213000*s - 92120692 = 0.\nAnswer: -383, 157\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1877964.1059 rounded to the nearest one thousand?\nAnswer: -1878000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/(6\/(-234)). Suppose 3*s - d = 2*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*f - 24, 0 = -5*q - 7*f + 3*f + 32. Suppose s + t - 149 = 6*t, -s = -q*t - 148. Calculate the greatest common factor of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -21 - -2) + -35 - (6 + 1 + -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 + 3 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 0, -4*t = 3*k - t - 12. Suppose 5*n + 5*l - 15 = 0, k*n = -2*l + 3*l + 27. Solve -m - n*s - 3 = 0, -8*m - 5*s = -3*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**3\/6 - t. Let a(h) = -h + 4. Let j(k) = 8 + 2 - 10 + 3. Let i(f) = 3*a(f) - 4*j(f). What is v(i(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 - -165. Suppose 20*q - 50 = 16*q + z, 4*q + 3*z = 42. What is the highest common factor of q and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-7 - -10) + -13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 - 1619*b**2\/3 + 3245*b\/3 + 1621.\nAnswer: -(b - 3)*(b + 1)*(b + 1621)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*m + 72. Suppose 4*k + 8 = m*k. What is the second derivative of r**2 + 2*r**k - 17*r**4 - 3*r**2 - 23*r wrt r?\nAnswer: -204*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from vcyxauy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 82758586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*i, -20 = 5*y - 2*i + 16. Let z be (0 - y\/5)*175\/14. Suppose 14*j + 4 = z*j. Calculate the remainder when 31 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 - 43*d - 19. Calculate h(13).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519261*t + 519257*t - 108 = 0 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**5 + 420*r**3 - 57695*r**2?\nAnswer: 60*r**2 + 2520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 + 19935*m**2 - 769660*m - 789600 = 0. What is m?\nAnswer: -1, 40, 3948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 3*v - 3*v + (-2 + 5 - 1)*(23 - 23 - 4*v))*(-2*v**2 + 6*v**2 + 5*v**2)*(1 + 6 - 11) in the form a*v + z + m*v**3 + n*v**2 and give m.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.542747145 and 0.0404.\nAnswer: -0.502347145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:47 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -17. Suppose -i*s - 4*g + 83 = 0, -3*s - 2*g - 3*g + 55 = 0. Suppose 0 = -2*t - 3*p + 10, 3*t - s = p + 3*p. Sort -5, t, 0 in ascending order.\nAnswer: -5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16 + 0 - (-13 - -9). Suppose c + 46 = 4*y, 0 = 3*c + 3*y + 43 + f. Is c greater than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (5 - -6) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f\/f**(-14)))\/f)**(-26\/7)\/(((f\/f**(-11))\/f)\/((f\/(f**(-19)\/f))\/f*f)) assuming f is positive.\nAnswer: f**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.4805 to one dp.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.29*6.5\nAnswer: -1.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/13 - 3774*i**2\/13 + 22590*i\/13 - 33858\/13.\nAnswer: 2*(i - 1881)*(i - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c + c - 18*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q + 8. Suppose 3*w = -3*l + 12, l - 2*l - 5*w = -20. Suppose -9*p - 25 + 79 = l. Let c(o) = 5*o - 9. Give p*c(f) + 7*r(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -4)*(5\/3 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84406\/10607 not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 23*s - 14. Determine k(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4*u + 2 - 18*u to j + i*u and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlbvvbvbvvvblollv. What is prob of sequence ll?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*m**2 + 83*m**2 + 127*m**2 - 700*m**2 + 369*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -20270588 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 14 = 2*g - 0*f, 2*f = g - 2. Let x(m) = -m**3 - 12*m**2 + m + 5. Let d be x(-12). Let w = d + g. Solve 0 = -u + w*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:23 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -7. Let f be -4*255\/68 + 19. Put 9, c, 0.4, f in decreasing order.\nAnswer: 9, f, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 1. Let y = -7 + 4. Let i be k(y). Is 3 a factor of i\/44 + 86\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 6, 4 in descending order.\nAnswer: 54, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -n - 43, 4*g + 9*n - 7*n = 40 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87672\/34476 + 2*14\/(-119).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185114241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -23)\/((-2)\/11). Find the common denominator of (-4)\/(-6) + 43\/4 and x\/18 + 1 - 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7890470 is divided by 337?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazsaabsb. What is prob of sequence bb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6266482 >= 6266487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/25*25\/2. Suppose 36 = 3*c + 5*n, -2*c + n - m = -3*c. Let q(g) = 2*g - 7. Let b(h) = h - 5. Calculate c*b(r) - 5*q(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 874 and 43549634.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3) + -2 - (-1 + -1*sqrt(17)).\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40043637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -27d86 (base 14) to base 4\nAnswer: -120012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -q - 2*w, 3*w = q + 4*q - 1. Suppose -y + 40 = f + q*y, f - 16 = 3*y. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(172\/(-2408))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 9:16 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 830649186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1164, -5, -4, 5, 2, -6, -88 in ascending order.\nAnswer: -1164, -88, -6, -5, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 28*n**3\/3 + 2. Let f(s) = -3307*s**2 - 3310*s**2 + 6615*s**2. Determine o(f(d)).\nAnswer: 112*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 378 + -385. Which is the nearest to 1\/4? (a) 0.5 (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 9*h**2 - 8*h + 7. Let s be g(8). Suppose -s*p + 3*p - x + 12 = 0, -x = 0. Solve 0*o - o = -p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (5*(sqrt(162) + 2 - sqrt(162)))**2).\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(95)\/(sqrt(405)\/sqrt(9)) + 4)*-5.\nAnswer: -20*sqrt(19)\/3 - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r**2 - 4*r - 6. Let g(q) = 13*q**2 + 8*q + 13. Let s(l) = 3*g(l) + 7*y(l). What is s(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2240 - 2233 + 4469 - 3*j**2 + 3*j**4 - 35*j in the form s*j**3 + a*j**2 + c*j + b + i*j**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i + 3*v, 2*i - 3*v = -v + 6. Suppose -6*z + 2*z = -i*t + 36, 0 = t - 3*z - 12. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70260401461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k = 0. Let j be (k\/5)\/(-2*1). Suppose 0*g - 3*g + 36 = j. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/2)\/w))**47*w**(2\/7)\/(w**(1\/4)\/w) assuming w is positive.\nAnswer: w**(3319\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151.87 + 152.17. Let l(z) = -z - 2. Let t be l(3). What is the nearest to -2\/3 in m, t, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2150157 is divided by 2150145?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11158.\nAnswer: 2, 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/18*-4 + 16. Let u(i) = -i**3 - i**2 - i - 1. Let x(j) = 5*j**3 + 4*j**2 + 6*j + 5. Calculate n*u(s) + x(s).\nAnswer: -s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 380\/(-9) + (-4)\/(-18). Let d = -175\/2 - -77. What is the common denominator of 8\/28 - 877\/i and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 + 22*q + 82. Let d be k(8). Let w = 6.3 + -1.3. Let j = w - 4.6. Which is the second smallest value? (a) j (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 398\/60 - 42\/(-9072)*36. What is r in x*r**3 + 2\/5*r**4 + 0*r + 0 + 0*r**2 = 0?\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -2, -29, 1\/2 in descending order.\nAnswer: 23, 1\/2, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r - r - r - r + 0*r + (0 - 1 + 2)*(-r + r + r) + 3*r + 3*r - 4*r)*(2 - 2 + 2*r) + (4 - 5 + 0)*(1 - 1 + 2*r**2) - r**2 + 3*r**2 + 12*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001110011010111110 (base 2) in base 10?\nAnswer: 1894078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/45 + 94\/18. Suppose -4*u = -5*v - 38, n*u - v = -4*v + 29. Suppose 3*k = u*k - 80. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 66*a**2 + 3*a + 2. Suppose 0 = -i + 11 - 12. Let w be v(i). Suppose 0 = 3*q + 2*h - w, -q - h + 1 = -22. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2458489 and 0.2.\nAnswer: 2458489.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**5\/30 + m**2. Let y = 439 - 206. Let c(h) = h**2 + y - 233. What is q(c(n))?\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174*m**5 - 315*m**2 wrt m.\nAnswer: 10440*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 16*s - 8. Let j(y) = -4*y - 4. Let g(h) = h + 1. Let v(a) = -5*g(a) - j(a). Determine -8*v(d) + x(d).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 689879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2143 from 0.1.\nAnswer: 0.3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 1. Calculate the lowest common multiple of 25 - (-1)\/(18\/12)*-9 and d.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 3*a + 3*m - 150, -4*a + 5*m + 479 = 0. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -20*h**2. Let c(p) be the third derivative of p**5\/60 - p**4\/2 - 402*p**2. Calculate c(s(x)).\nAnswer: 400*x**4 + 240*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -10001000101100010000?\nAnswer: 10001000101100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 10*d - 2. Let i be t(7). Let v = i - 233. Is -5 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1763*k - 1015 - 1947 = -282*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -222*t + 28112. What is n(124)?\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 2*r**7\/105 + 11*r**6\/30 + 3*r**5 + 27*r**4\/2 + 36*r**3 + 8*r**2. Let z(k) = 0. What is k?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 41. Suppose -5*x - 4*r = -7, -x - 5*r - p = -5*x. Suppose 6*n = x*n + 15. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k + 2*l = -2, l - 20 = -4*k. Let n(y) = y - 2. What is the remainder when k is divided by n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from {n: 4, o: 1, f: 1, m: 1, b: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-48)\/704)\/((18\/388)\/(-3)) and -51\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(304))**2 + sqrt(304))*-6 + (sqrt(304)*3)**2*2*-1.\nAnswer: -7296 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 31570 = -6*j, 3*a + 4*j - 9*j = 23675. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -382 - -382.16. Is 1\/14 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7822?\nAnswer: 2, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -402 + 0?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818344 is divided by 855?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69121.\nAnswer: 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2\/7, 9, 4\/25, 1.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -2. Let w = k - -9. Let d = -2.2 + 0.2. Which is the second smallest value? (a) d (b) w (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-465)\/651 + (-9)\/(-12)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -5*l - 21. Let a be l\/(-5) + (-1)\/(-5). Solve d - a = 2*d + j, 0 = 5*j + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (6 - 2 - (-2 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:46 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -35. What is the first derivative of 0*v + 0*v + 13 + k*v**2 + 4 wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 5*a - 2 + 2 + a + (0 - 4 + 1)*(0 - a + 0) + (-3 + 3 + 2)*(a + 0 + 0))*(2*a**3 + 2*a**4 - 2*a**3).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27.3? (a) 42 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1555010*h*j**3 + 36*h*o - 3*j**3 - 28420147*o wrt h?\nAnswer: -1555010*j**3 + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43654121 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - h - 4 = 2, 0 = -o - h + 9. Suppose -4*t = 61 - o. Let x be 1\/((-2)\/t) + -2. Calculate the greatest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 + -107 + (-10 - -46) + -8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a951 + -239?\nAnswer: -2008a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 15*i - i - 19*i = -36, 72 + 430 = 22*k + 2*i for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 2. Let u(h) = 4*h - 3. Suppose -2*o + 9 = 3*r, 2*o - 1 = 4*r - 13. Let p(l) = r*n(l) - 2*u(l). Let b(j) = 6*j. Determine b(p(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12666 + -109.88334. What is v rounded to zero decimal places?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -6*(-2*sqrt(171) + sqrt(171)) - (-1*sqrt(171)*-1 + sqrt(171) - sqrt(171)))**2 - (sqrt(171) + ((sqrt(171) + 1)*-2)**2)*-5) + -3.\nAnswer: 135*sqrt(19) + 9593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -229ab (base 13) to base 4\nAnswer: -33123022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.631 * -0.0615.\nAnswer: -0.3463065","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 21*v**2 + v**2 - 10*v**2 - 6*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 11:00 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340706 is divided by 394?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -21. Let m = 906.03 + -912. Let x = 6 + m. Which is bigger: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 + 39 = -36*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1428)\/144 - -10 - (-187)\/(-408).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3653 + 7271. List the prime factors of u.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 14*z + 43. Let t be s(7). Calculate the greatest common divisor of 376 and t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 23*j + 2 = 0. Solve -j*a = -4*l - 20, -a = a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 131 - 23 = 0. Let h = t - 9. Which is the smallest value? (a) 0.2 (b) h (c) 2\/9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 8*n - 5. Determine d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/704 and 101\/276864?\nAnswer: 3045504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 - 322*j - 6. Let c(o) = o**3 + 2*o - 2. What is -3*c(q) + p(q)?\nAnswer: q**3 - 328*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 652.\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 68. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 57*j**3 - j**2 + j. Let c be m(1). Suppose -d + 3*n - 2 = c, -3*d - 157 = -5*n. What is the common denominator of d and -79\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 826, 1808, 2790, 3772, 4754, 5736?\n\"Answer: 982*w - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1044355\/(-26))\/(2 + (-20)\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25217.3 + 25217. What is the biggest value in i, -1, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (0 - -2)\/(-2). Solve 2*i = d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2620, -39, 2\/9, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 41\/2 of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178577686 + 178577669.30000648. Let t = a + 16.7. What is t rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 824.1 - 882. Let c = -57.90000635 - o. What is c rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25984 or 47\/5?\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(63) + -3 - (5 + sqrt(27)*4).\nAnswer: -35*sqrt(3)\/3 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 5*t - 125. 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: What is the third root of 3574825 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/11*d + 26\/11 - 2\/11*d**2.\nAnswer: -2*(d - 13)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780912 and 482256?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189017437 to the nearest integer?\nAnswer: 13748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5147.026l?\nAnswer: 5147026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k + 191603 + 243067. Round k to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32636916997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 - 1 - 3*f + 2*f**4 - 10*f**3 + 8*f**3 - 6*f**2 in the form u*f**4 + d*f + x + j*f**3 + z*f**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38788 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m - 5*m + 6*m)*(-2*m - 3*m + 3*m - 10*m - 13*m + 12*m + (1 - 2 + 0)*(-2*m + m + 0*m)) as g + y*m**2 + s*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/19778 and 1\/271150?\nAnswer: 8405650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g + 2*g)*(g + 2*g - 6*g) - 360 - 1228 - 226*g**2 + 225*g**2.\nAnswer: -4*g**2 - 1588","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/4)\/(12955\/93276).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1244?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819.3006 millennia to centuries.\nAnswer: 8193.006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 278662103*i**3*w**2 - 2*i**2*w**2 - i**2*w - 6*i*w**2 - 2*i*w + 2251*w**2 + 66 wrt i?\nAnswer: 1671972618*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**2*y**6 + 68*h**2*y**4 + 160*h**2*y - y**2 wrt y.\nAnswer: -360*h**2*y**3 + 1632*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = -0*o. Suppose 1 - 9 = -4*q. Solve -q*n + o = -1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 32?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert c1c2 (base 15) to base 7.\nAnswer: 230156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1523178?\nAnswer: 2, 3, 67, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2. Let z(c) = -c**2 + c - 1. Let u(i) = 2*i**2 + 2*i - 2. Let x(w) = u(w) - 2*z(w). Determine t(x(a)).\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*d + x - 1794 = -73*d, 0 = 2*x - 4. Calculate the highest common divisor of d and 512.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1054542, 1054550, 1054558, 1054566, 1054574, 1054582?\n\"Answer: 8*q + 1054534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26 + 8*r**2 + 7 + 2 + 2 + 7 - r**3 + r.\nAnswer: -(r - 8)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682282277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.2692.\nAnswer: -0.08076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1550 (base 6) to base 16.\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173 and 3810671.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -71 + w**3 + 15*w + 22 + 31 - 10*w**2 + 20. What is i(7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (-7 - (-3 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4*1)\/((-3)\/(-6)). Let k = 13 - s. Suppose -4*m - 3*i + 50 = 0, k*i + 0 - 18 = -2*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/16 - 1\/4. Solve i = -3*b - d - 4 - 3, -5*b - 5*d - 15 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -4 + 2 + -125 + 108?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -28, -54, -112, -214?\n\"Answer: -2*v**3 + 2*v**2 + 2*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -4. Let l = -13 - o. Which is smaller: l or -13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24281 or -24282?\nAnswer: -24281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2 - 4*q + 3*q**2 - 3 - 3. Is u(4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let i(m) = -12*m - 1. Let l(r) = 14*a(r) + 2*i(r). Let h = -4 + 7. What is the remainder when l(h) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/27)\/((-1290)\/(-387))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f - 10*f - 55*f**3.\nAnswer: -55*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*d**3*o**2 - 30973*d**3 + 108*d**2*o**2 + 2074*d**2 wrt d.\nAnswer: 132*o**2 - 185838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7840 = -14*d - 2772. Is -16 - -14 - -2*d\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2736*n - 15. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105111 and 231795.\nAnswer: 53081055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9408 divided by -672?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/30 + f**4\/8 - 3*f**2. Let a(o) = 3*o**2 + 5*o. Calculate -3*a(q) + 5*m(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 6*n**2 - 4*n - 6. Let c be m(-6). Suppose -12 = 5*q - q, 3*z - 2*q - c = 0. Calculate the highest common divisor of z and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from khmjhhmhmhjhvv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111380*u**2*v**3 + 6*u**2*v**2 - 5*u*v**2 - 322*v**2 - 1 wrt v.\nAnswer: -668280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4380.35*-0.13\nAnswer: -569.4455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30235 + -1a?\nAnswer: -30254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5126249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(612) + sqrt(612)*-1 + ((2*sqrt(136) - sqrt(136)) + sqrt(136))\/sqrt(8)*6)**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 821 (c) 2\/11 (d) -4 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 5, u: 2, x: 2, a: 4, i: 1}. What is prob of sequence ak?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 711 or 734?\nAnswer: 711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/2 + 111*y**2\/2 - 468*y + 952 = 0. What is y?\nAnswer: -119, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4 - 4)*(3 - 4 + 0 + 1 - 1 - 2 + 1 - 2 + 3 + (1 + 0 + 1)*(0 - 4 + 2)) - 5*b - 4*b - b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39862 - -39853.9981. Let a = 8 + v. What is a rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**3 - 4*c**2 + 5*c - 31. What is the remainder when r(5) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.104 and -1?\nAnswer: 0.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -3*2\/3. Let p be -2 - (b - 0\/2). Let s be 3\/6 + (-3)\/6. Solve s = 4*j + 5 - p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (78\/12 - 3)*4\/7. Sort -3, -5, w in increasing order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from wwwwwwwwaawawawwwwwa?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -622 - 580 - 192*v**2 - 1184*v**3 + 1198 wrt v?\nAnswer: -7104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12969 - 0.07\nAnswer: -12969.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 1. Calculate f(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63083 - 10345579\/164. Let t be (16\/820)\/(2\/(-5)). Let v = t - p. Which is the third biggest value? (a) 5 (b) -2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nljhanr. Give prob of sequence hnj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + 50\/(-4 + 9). Let v = -3 + 3. Which is the closest to v? (a) p (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 394758 and 30366.\nAnswer: 394758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, w: 1, b: 1, j: 1, y: 1}. Give prob of sequence jiwb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 59. Let c be -27 - (9\/x)\/((-6)\/(-8)). Let t be 0 - c\/(84\/80 - 1). What is t rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5889918127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 26041*g + 26042.\nAnswer: -(g - 26042)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11717926 - 2?\nAnswer: 11717924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.43, 3\/7, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101110001110 - -10001110?\nAnswer: 1100110000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*u. Let h(d) = -34*d**3 - 4*d**2 + d. Let x be h(-1). Suppose x + 15 = 22*b. Solve u*z - b = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 7, a: 9}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 3*c + 0*c + (2 - 4 + 1)*(-c + 0 + 0) + (2*c + 6 - 6)*(-19 - 26 - 9) in the form s*c + m and give s.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 29*z + 24. Determine c(16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from palalzavaavaaaaacvaa. Give prob of picking 1 p and 1 z.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 0 - 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5))**(15\/8))**(21\/2) assuming p is positive.\nAnswer: p**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2)\/(-4)*4. Let o = 64.1 + -64. Which is the second biggest value? (a) -4 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 152 = -12*d + 9*d - 124, 3*p + 2*d + 63 = 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20677, 37553, 54429?\nAnswer: 71305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 0*l**3 + 0*l + 0*l**4 - 3\/20*l**5 + 126*l**2 + 0. Let j(z) = 16*z**2. Determine d(j(o)).\nAnswer: -2304*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -180871\/22 + 8225. Find the common denominator of -47\/28 and q.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107487 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-200000)\/3)\/((-22)\/1815). Round m to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 49381*a + 246870. Give z(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is efa4 + 1?\nAnswer: efa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -3\/2*r**2 - 1\/2*r**3 + 0 - 6*r. Let j(v) = 13*v + 13. Suppose 0 = 5*p + 25, 13 = 2*t - 4*p - 3. What is t*j(d) - 9*w(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 22*m**2 + 11*m + 106. What are the prime factors of o(-25)?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -3, -3423.\nAnswer: -3423, -3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000110011001 - 11?\nAnswer: -100000110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + sqrt(245) + 2 + ((-1 + sqrt(245) + 3 + sqrt(245))**2 - sqrt(245)) + 3.\nAnswer: 56*sqrt(5) + 990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 9*b - 5. Let c be o(5). Factor 1\/5*j**2 - 1\/5*j**4 + 1\/5*j**3 - 1\/5*j + c.\nAnswer: -j*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**4\/11 - 46*d**3\/11 + 196*d**2\/11 - 296*d\/11 + 144\/11 = 0.\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.27 - -0.47. Let z = v - 0.5. What is the third biggest value in 5, -1\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = d + 3*d - 9*h, -3*d - 3*h - h = 62 - 51 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237809 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 2)\/((-3159)\/26)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 66. Let s be (-6)\/(-36)*y - -4. Which is the smallest value? (a) s (b) 0 (c) -0.4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 722, 1726, 3014, 4586, 6442, 8582, 11006?\n\"Answer: 142*l**2 + 578*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9642055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + ((-1)\/(-4) - -2). Let t be 54\/(-26) - (-5 - -3). Sort t, 1.4, i in descending order.\nAnswer: 1.4, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24898?\nAnswer: 2, 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2313050, -2313054, -2313058, -2313062?\n\"Answer: -4*s - 2313046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((20\/(-210))\/((-5)\/(-30))).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n + 2. Let d = -1 - 1. Let h be x(d). Let a(r) = -5*r - 5. Is a(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -396*f**2 - 83*f**2 - 188*f**2 - 16*f**2 + (0*f + f - 3*f)*(0 + 0 - f).\nAnswer: -681*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 1020*b**3 + 686916*b**2 - 131514720*b - 49873476288.\nAnswer: -3*(b - 454)**2*(b + 284)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 17*a + 1\/4*a**3 - 3\/8*a**2 - 15 - 1\/16*a**4. Let m(l) be the first derivative of q(l). Factor m(z).\nAnswer: -3*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 267*c + 521. Let p be z(0). Solve 512*n - p*n - 9 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**2 - 16. Let u(q) = -4*q**2 + q - 10. Let r(i) = -5*g(i) + 8*u(i). Let b(w) = -w**2 - w. What is 40*b(y) + 5*r(y)?\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71234768 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -198\/85 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11.78 + -35\nAnswer: -23.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, g: 11}. What is prob of picking 2 g and 1 a?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**6 - g**4 - 21163*g**3 - g**2 - 44*g - 197 wrt g.\nAnswer: -120*g**3 - 24*g - 126978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 4*c + 15. What are the prime factors of (-2)\/(-6)*c + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13275 divided by -5\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0*h**2 + 4*h**2 - h**2.\nAnswer: 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -344? (a) 5 (b) 4 (c) 7.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, -2, -1, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 287*j - 5231. Let t(b) = 230*b - 5231. Determine -4*k(s) + 5*t(s).\nAnswer: 2*s - 5231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = 9. Suppose 0 = p - 5*n + 24, 0*p + 10 = b*p + n. Sort p, 6, 0.1.\nAnswer: 0.1, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384448581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2152)\/(-14) + 10\/35. Let y = -619\/4 + k. Which is the closest to 2\/7? (a) y (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:34 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 6 = 2*b. Let i(s) = -3*s**2 - 3*s + b - 4*s + 3 + 2*s**2. Let t be i(-9). Do t and -25\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.2925um in nanometers?\nAnswer: 38292.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 1.658.\nAnswer: 3.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*y. Let o(j) = j - 3 - 2*j**2 + j + y. Determine o(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61181 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15189 - -75629\/5. Suppose -9*g = -5*g + 256. Is g bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 3*r - 7. Let v(n) = -6 - 1 + n + n - n**2. Let h be 6\/15 - (-51)\/(-15). Let t(m) = h*v(m) + 4*p(m). Give t(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 583135887?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 28710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1.3, 3\/8, 71, 0.825 in ascending order.\nAnswer: -0.1, 3\/8, 0.825, 1.3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*n + 1 + (1 + 0 - 2)*(-1 + 1 + n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -44. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.435142 * -0.2.\nAnswer: -3.2870284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -2\/7 (c) 0.3 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/6))**(1\/40)\/(l**(1\/3)*l*l**(1\/12)\/l) assuming l is positive.\nAnswer: l**(-19\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-240)\/(-45) - (-2)\/(-6)) + 31526 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*(-17 + 14). Calculate the greatest common factor of b and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/(-9))\/((-1)\/(-12)). Let l = s + -388\/7. What is the biggest value in -4, l, 2\/43?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 343571396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -698, -2, -1, 1 in descending order.\nAnswer: 1, -1, -2, -4, -698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 + -1036.07970253.\nAnswer: -1222.07970253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 3)*((-1 + 1 + 2)*(0 + 3 - 2) + 5 + 1 - 3)*(-3 + 0 + 1)*(-22*g**4 + 210*g**2 - 210*g**2) to h*g**4 + c*g**2 + x*g**3 + v*g + z and give h.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -16 (b) 12\/5 (c) 2\/17 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 10. Let h be a(-5). Suppose h = -9*p + 3704 + 886. Suppose 4*q + 1386 - p = 4*j, 0 = 2*j - 3*q - 435. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2485.548 rounded to the nearest ten?\nAnswer: -2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12063, -1\/8, 52?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5239 is divided by 1815?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20000 + -12202?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 4, t: 6}. What is prob of picking 1 i and 1 t?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*i**3 - 963*i**3 - 22*i**3.\nAnswer: -1123*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -499*c - 16. Let s be b(-6). Let n be s\/2 - (5 + -2). Let d be 57\/(-95) + n\/10. What is the greatest common divisor of 37 and d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19338 rounded to 3 dps?\nAnswer: 0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2519 + 209 = -3*m. Suppose -4*o + 4*h = 258 - m, -3*o - 5*h = -360. What is the highest common divisor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1291 - 629 = -8*m + 18*m + 22*m for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 14. Let j(x) = -x**3 - 3*x**2 + 3*x + 6. Calculate the least common multiple of g and j(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -4, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 divided by -107756?\nAnswer: 453\/107756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -989 - -3058. Calculate the remainder when t is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -3. Let r = -2 + w. Let c be (-2)\/14*1*2. Does c = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - ((0 - 1) + -51 + 48)) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 229200199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4284064 by -2.\nAnswer: 2142032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011001101001010 - -11?\nAnswer: -11011001101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert c6d5 (base 15) to base 14.\nAnswer: 11478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-15 + 0 + 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 - z**5 + z**5 + (86*z**3 - 16*z**3 + 240*z**3)*(-2 + 44*z - 44*z + 5*z**2) + (-5*z + 3*z + 4*z)*(z**4 - 2*z**4 + 3*z**4) + 2*z**5 - z**5 + 0*z**5.\nAnswer: 1554*z**5 - 620*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/55 and (507\/66)\/((-60)\/(-40)) - 6?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34736 and 2129751.\nAnswer: 34076016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-425)\/(-17) + (-11 - -6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 2*l**2 + 22*l - 13. Let i be y(7). Let c = 99 + i. Let u(p) = -2*p + 1. Let q(k) = k - 1. Calculate c*q(j) - 5*u(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**6\/60 + 347*y**5\/30 + 8807*y**4\/24 + 17*y**2 - 16*y + 1. What is the second derivative of q(b) wrt b?\nAnswer: 12*b + 1388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:23 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19778274 to the nearest integer?\nAnswer: 4447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7878, 7909, 7960, 8031, 8122?\n\"Answer: 10*z**2 + z + 7867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 = 4*u - u, -5*o - 5*u + 40 = 0. Suppose -o*k = -k - 987. Suppose -k - 6 = -5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4202549 is divided by 442.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/7)*i*i**(3\/5))\/(i**(1\/16)\/(i*i**(-8)*i)) assuming i is positive.\nAnswer: i**(-2099\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -293? (a) -2 (b) 0.5 (c) -1876 (d) 5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -168 + 481. Let y = t - 310. Solve 0 = -y*p - 7 - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 11:07 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255303, 510610, 765917, 1021224?\nAnswer: 1276531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 764, 744, 706, 644, 552?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2125 - -68039\/32. What is the common denominator of l and (-2)\/(-4) - 79\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*h - 8, -4*h + 10924 = -7*p + 10896 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 96 - 91 - 190*n + 193*n. Let x(t) = 5*t - 1. Let v be x(1). Let f(a) = -6*a - 11. Give v*f(i) + 9*b(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x**2 + 28*x**2)*(-4 - 27*x + 4) - 1 + 1 - x**3.\nAnswer: -703*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m**2 + 12*m - 12. Let p(d) be the first derivative of d**3\/3 + d**2\/2 - d + 2. Give -h(b) + 12*p(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + h + 50 = 0, -5*b = 3*h - 4*h - 250. Suppose y = 3*y - b. What is the remainder when 71 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 2*n + 1. Let p be l(3). Suppose 9 = -o + p*w, -2*o + w = o + 5. Let y(u) = -u**3 + u**2. What is the units digit of y(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + j = -847, 5*r - 559 = j + 499. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 144 - 302. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64631 and 889006?\nAnswer: 43561294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 3477.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20988619 and 0.2.\nAnswer: 4197723.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*q - 434*q - 172 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s. Let v be a(6). Let f be -1*(1 + v\/3). What is the third biggest value in f, -2\/5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:42 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1785 + 2830. Let h be -10551*((-42)\/20 + 2). Let r = f - h. What is the common denominator of -24\/7 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*j = 350, 0*b + 439 = -5*b - j. Let u = b - -84. Let d(y) = -77*y - 7. Let k be d(u). Calculate the highest common divisor of k and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 5 - 1 + 4)*(1 + 4 - 4) to the form j + u*s and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 186*g + 927. Let f be p(-5). Sort f, 4, 311.\nAnswer: f, 4, 311","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 7*m + 2. Let c be p(7). Suppose 0 = -5*f + c*x + 170, 4*f - 2*x - 52 = 82. Let r = 4 + f. Calculate the highest common factor of 16 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsswswswswswwwwwwww. Give prob of sequence sss.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 3*d + 28. Calculate k(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 316\/(-26) + 2310\/143 + -16. Sort 1, 2, p.\nAnswer: p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let b(z) = z**3 - 2*z**2 + 4. Let j(g) = b(g) + 3*w(g). Let y be j(3). Solve -y*h + 5*h = -5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5787055751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 379?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*s - 24 = 0, 3*o - 5*s + 2*s - 15 = 0. Let c be o\/24 + (-159)\/(-18). Suppose -c*m = -14*m + 15. Solve -2 = -i - 6*q + 4*q, m*i - 1 = -q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 + 78 + 96 - 2*k + 54.\nAnswer: -2*k + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 2*h + 2*h. Let z(d) = -20*d. What is z(o(c))?\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cplplllllpdllllpldl. What is prob of picking 3 d and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((-70)\/50).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcodwwt. What is prob of sequence ww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 381139 and 23078.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -3\/2 (b) -0.3 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9374608 rounded to 4 dps?\nAnswer: 0.9375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 4\/13, 0.2, 3, -1, -2595?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*r + 4 = 0, 420*p - 206*p = 214*p + r + 2 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 567770775 to the nearest integer?\nAnswer: 23828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -121*x**5 - 165*x**4 - 48*x**3 - 4*x**2 = 0.\nAnswer: -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 4:21 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11*(4 + (-15)\/5). Let b = 11 - t. Let s be b\/3 - 2*1. Do s and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 8}. Give prob of picking 2 b.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*h + 12, 2*d = -0*h - h + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816 and 22644.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94919, -379629, -854133, -1518431, -2372523, -3416409, -4650089?\nAnswer: -6073563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 13. Suppose a + s = 5*f - 23, 0 = 4*f - 4*a - 60. Calculate the remainder when 28 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321012303 - 0?\nAnswer: -321012303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 24*j + 1. Let t(a) = 15*a - 11. What is f(t(m))?\nAnswer: 360*m - 263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -136. Let t = z + 110. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: c8c (base 13) to base 6\nAnswer: 13532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by 3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 24 = -w, 2*l + 70 = 4*w + 76 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = 6*l + 1 - 155 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*c + 4, -3*c + 8*c = -3*d + 32. Let s be (c + -1)*78\/18. Solve 2*a + s = 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -5 (b) -1 (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvu when three letters picked without replacement from dddvdvuvu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a**2 + 5*a - 4. Let p(z) be the second derivative of 2*z**4\/3 - z**3 + 5*z**2\/2 + z. Suppose 6*d = -9*d - 60. Calculate d*p(h) - 5*t(h).\nAnswer: 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 195361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 773*b = 747*b + 71552. What is the greatest common factor of 96 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2. Let f(q) = -1164*q + 6. Let k(l) = 162980*l - 841. Let y(o) = -841*f(o) - 6*k(o). Calculate w(y(c)).\nAnswer: 1089936*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2596842, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(-2*d + 6*d - 2*d) + (-2 + 5 - 2)*(-97*d + 3*d - 77*d).\nAnswer: -177*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 3*f**2 + f - 2. Let x be o(2). Suppose 3*b - 8 = x. Solve -4*c + 3*v + 0*v - 25 = 0, 3*c = b*v - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.9? (a) -3 (b) -0.7 (c) 2\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 4*r + r - 4*r. Let j(p) = -2*p + 6*p + 6*p - p. Determine j(v(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29356, -29349, -29340, -29329, -29316, -29301?\n\"Answer: c**2 + 4*c - 29361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 158723113 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 19 = -3*t, -2*j + 4*t - 3 = 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3*1*(-3)\/22. Let u = 1 - 1.5. What is the closest to 1 in d, -1, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 40 = -4*c, 138*r = 137*r - 4*c + 20. Solve 3*u - 17 = 2*j, -5*u - 22*j + r*j = -7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217466182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626129832?\nAnswer: 2, 3, 26088743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(15)\/(4*sqrt(500)).\nAnswer: -4 + sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 8. Let n be v(6). Suppose -5*k = -k + l - 86, 0 = -k + 3*l + 15. Let q = -12 + k. Solve q = -x - n*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2302312320302 + 3?\nAnswer: -2302312320233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24 - 0.06. Let l = 44.9 + -59. Let m = 14 + l. Which is the nearest to m? (a) -1 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/2565 and -7\/33?\nAnswer: 28215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 10 (b) -2\/25 (c) -0.2 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18104 + 27473. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*((-16)\/(-6) - 2). Let j = 3 - a. Suppose 2*o - 15 = j*o + 2*t, -2*o + 3*t + 13 = 0. Put 4, o, 5 in ascending order.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) - (-19)\/3. Suppose -11*x + 24 = -o*x. What is the tens digit of x\/21 + 1565\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4 + (1 + 1 - 5)*(-1 + 3 + 0))*(9 - 1 - 4)*(2*x**2 - 2*x**2 - x**3).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r + 173 = 105 - 178 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 8) in base 3?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2 - 6*d + 5. Let v(h) = 11*h**2 + 11*h - 3. Let x(j) = j**2 + j - 4. Let l(t) = v(t) + 2*x(t). Suppose m - 2 = -6. Give m*l(q) - 9*i(q).\nAnswer: 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/20 + 54\/(-8). Let r(h) = h + 8. Let w be r(l). Suppose w = -3*d + 4. Solve -d = -2*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*x - 4006 + 948 = -36*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-4)*16\/(-60)*5. Find the third derivative of -66*o**2 + 55*o**2 - 57*o**2 - 46*o**3 + a*o**3 + o wrt o.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 16. Let n = -122 - -111. Give z(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8515 - -8619. What is the highest common factor of r and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47, 181, 405, 719?\n\"Answer: 45*s**2 - s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86125625 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8881683?\nAnswer: 3, 19, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-37)\/(45325\/(-8840)) - 7 and 79\/20.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 33 = 5*i, -3*f - 1 = 2*i - i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/((-6)\/(-9) + (-155)\/300)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 5. Let n be u(-3). Is 15\/11 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*u - 2, -5*u - 2 = -8*z + 10*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877796?\nAnswer: 2, 3, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u - u)*(-5*u**2 + 4*u**2 + 0*u**2)*(-2 + 2 + 2*u).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknnmmnmmqmms. What is prob of sequence mnk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 9 = -3*d. Suppose 4*l - 88 = -d*a, 0 = -a - 3*a - 2*l + 68. Let b = 14 - -2. Calculate the least common multiple of b and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13718224, 13718227, 13718230, 13718233, 13718236?\n\"Answer: 3*n + 13718221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6326 + -310?\nAnswer: -6636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.1 - -33.6. Sort 0.47, 5\/2, v, 3.\nAnswer: 0.47, v, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/29 (b) 2 (c) -1\/7 (d) 1.2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 115. Let u be (-153)\/(5 + -12 + -2). Find the third derivative of 23 - 12 + s*d**3 - 11 + u*d**2 wrt d.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11*3)\/((-51)\/4267) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98986 is divided by 553?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 75082.07 litres in millilitres?\nAnswer: 75082070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*p. Suppose a + 5*f + 23 = -p*a, -3*a + f = -11. Suppose 4*q + 5*d = 41, q - 17 = a*d + 3. Solve 4*z + 5 - 16 = 3*y, 5*z = 4*y + q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231) + -2*sqrt(231) - sqrt(231))\/sqrt(7)*-6)\/(-2*(sqrt(192) - -2*sqrt(192))).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(((a*a*a\/a**(-17)*a)\/a*a*a*a)\/a)\/a)\/(a*a\/a**21) assuming a is positive.\nAnswer: a**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2 + 38*h + 88. Let o(s) = -11*s**2 - 75*s - 178. Let k(j) = 9*l(j) + 4*o(j). Calculate k(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (615 - 525 + 231 + 1368)*(3 - 4 + f - 3*f) to h*f + z and give z.\nAnswer: -1689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/952 and -37\/136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1586 by -2.\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 72144110 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74295, -148616, -222937, -297258?\n\"Answer: -74321*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 28*l + 24. Give k(14).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*l + 52*l = x - 17, 201 = 4*x - 3*l. What is the highest common factor of x and 7560?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678 = 135*f + 408. Determine k, given that 2\/5*k**f - 2\/5*k - 4\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Let f(y) = 3 + 3*y - 2 - 3 + 3. Let w(m) = 5*d(m) - 3*f(m). List the prime factors of w(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 4*s + 3*s)*(3*s**4 - 2*s**2 + 2*s**2) + (372 - 44*s**3 - 372)*(-3*s**2 - 4*s**2 + 5*s**2).\nAnswer: 82*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**3\/6 + 215*z**2\/2 - 2*z - 10. Let l be y(-40). Calculate the greatest common factor of l and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4264207 rounded to two decimal places?\nAnswer: -1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.9 + 7.9. Let t = -0.9 - 0.1. Let z = t - -3. Which is the third smallest value? (a) d (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75240454 rounded to the nearest one million?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7305 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(4\/7)*g*g\/g**(2\/9)*g**3\/(g**(-2\/15)\/g))\/((((g*g\/(g**(-1)\/g))\/g*g)\/g)**(2\/35))**(-19\/4) assuming g is positive.\nAnswer: g**(5227\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3427?\nAnswer: 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/10 and ((-24)\/4)\/6 - (-3)\/(-16).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*14*5\/60\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 10)\/(-3) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**2 - d - 2. Let w = -27 + 32. Let n be (9\/(-12))\/(3\/(-8)). Let r(v) = 0*v**2 - 2 - v**2 - 10*v**2 - v + 3*v**n. Determine w*r(c) - 6*z(c).\nAnswer: 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**6\/540 - 2*q**5\/135 + 5*q**4\/108 + 34*q**2 + 2*q - 1. Let l(s) be the first derivative of g(s). Factor l(o).\nAnswer: -2*o*(o - 1)*(o + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h - 3*h**2 - 8*h)*(2*h + h - h + (-2*h + 0*h + 0*h)*(8 + 1 + 20)).\nAnswer: 168*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 160*m + 484. Calculate b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22037, -44074, -66111, -88148, -110185, -132222?\nAnswer: -154259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -16, 318, 15, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**2 + 7*d**3 + 26*d**2 + 2*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 11312640?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 3*l)*(5 - 1 - 2)*(-2 + 6 - 7).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 428 - 218. Suppose 6*t = t + p. What is the common denominator of -39\/5 and ((-2)\/(-8))\/(15\/t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2874, 6717, 10560?\n\"Answer: 3843*k - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**2 + 22265 - 22265)*(-3*d + 0*d**2 + 5*d**2 + 2*d) as g + i*d**2 + s*d**4 + l*d**3 + o*d and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -4030?\nAnswer: -161.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1053425 and 1940.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12892594 - 18?\nAnswer: 12892576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x - 21. Let b be ((-5)\/1)\/(-10) - (-10 + (-49)\/(-14)). Calculate the greatest common divisor of b and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04621 * 706\nAnswer: 32.62426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 4678*o - 91837044.\nAnswer: 2*(o - 5707)*(o + 8046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 383.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 4 - 4)*(-4 + 3 + 0) + 5*f - f - 2*f + 11*f + 11*f - 5*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.384 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3733725 and -3?\nAnswer: 2.6266275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (660936\/18)\/((-12)\/(-900)). What is x rounded to the nearest ten thousand?\nAnswer: 2750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131280332 divided by -53963?\nAnswer: -20964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 9. Suppose 0 = -5*o - 3*h + 46, h - 4*h = o - 2. What is the units digit of m(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - y - 3*y = -15, -5*y + 23 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -4*5)\/(-4). Suppose 0 = -11*n + y*n + 706200. Round n to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 306*f**2 - 23390*f + 1607. Give c(-156).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13 + 4 + 692*m**2 + 19 + 20 + 9 wrt m.\nAnswer: 1384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1070*x = 1058*x + 41004. Calculate the greatest common factor of 408 and x.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5153 is divided by 57.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142)\/(-142)*34\/(-2) - (-61 - -37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -41*i**3\/4 + 473963*i**2\/4 + 2127471*i - 156303 = 0.\nAnswer: -18, 3\/41, 11578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 87*b - 83*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 15, 19, 23?\n\"Answer: 4*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/15)\/(2\/20). Let l be (w\/15)\/((-16)\/(-30)). What is the third biggest value in -2, -0.1, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 3, y: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 8. Let x be m(-6). Let n(u) = -3*u + 2. Let d be n(x). Let s = 24 + d. Is s 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 hshhhhhhhs. Give prob of picking 2 s.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12) - -1)\/(-8 - (-772)\/96)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 127?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31432\/35 - -898. Which is the nearest to 0? (a) h (b) -1\/3 (c) 0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(63)*2)\/(sqrt(27)\/(sqrt(15)\/sqrt(5))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*l + 51. Let j = 34 - l. Suppose 123 = f + d, -18*f - 4*d = -17*f - 114. Calculate the greatest common factor of f and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 18114764?\nAnswer: 54344292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**9\/18 - 3*y**6\/10 + 38*y**3\/3 + 201. Let c(q) be the third derivative of a(q). What is the third derivative of c(g) wrt g?\nAnswer: 10080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1687751\/2 or -843877?\nAnswer: -1687751\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 - 12*c - 12. Let o(b) = -7*b**2 - 13*b - 12. Let l(h) = -3*i(h) + 2*o(h). Give l(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92603\/180 - -2061\/4. Find the common denominator of 59\/324 and j.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8058586\/57 + -141383. Let x = a - 2669\/798. What is the common denominator of x and 77\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 401221*y + 20061051. What is m(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1334, 2668, 4002, 5336, 6670?\n\"Answer: 1334*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 492439168 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 + 3*m - 2. Suppose q - 14 = 4*w + 36, 5*w - 4*q = -57. Let y = w - -10. What is the remainder when t(y) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 - 0.14. Round i to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -815786248 less than 20?\nAnswer: 815786268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72435906 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*i**2 - 112*i - 2*i**3 - 1 + 133*i**2 + 109*i + 0*i**3 in the form f*i**3 + t*i**2 + l*i + o and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -649 - 525. Suppose 1674 + k = 16*a. What are the prime factors of a?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21)*-5*(-9)\/(-135).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 10 + 24*g - 7 - 60*g + 9.\nAnswer: -36*g + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1197)\/19*138\/1449.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 78, 55\/9, -0.05?\nAnswer: 55\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 5*l**2 + l + 1. Let t be z(5). Suppose -3*a + t = -a. Let k be (a\/(-4))\/((-9)\/24). What is the greatest common factor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/9 - (5278\/(-117) - -14). Suppose 3*l - 61 = -5*w, -29*l = 2*w - t*l - 18. Solve w = 4*q - 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Suppose -3*x - 2*x = 3*r - 45, 2*x - r = 18. Suppose -2*z - x = z. Which is the closest to s? (a) -1\/6 (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4 + (-53400)\/16)*(3 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-104)\/6)\/(12\/(-9)). Which is bigger: 22 or d?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 928?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + x - 5. Let q be h(2). Let m(c) = 38*c + 3. Let t be m(3). Calculate the greatest common factor of t and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5)**(20\/3))**(-2\/3) assuming q is positive.\nAnswer: q**(-200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/16*60*62\/5580.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 3*(-16)\/(-12). Find the first derivative of 0 + 2*c**4 - 2*c**4 - 4 - q*c**4 wrt c.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i + 14. Let h be p(-14). List the prime factors of (4\/(-2))\/((-24)\/h).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 4*c + 7.\nAnswer: (c - 14)*(c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 3:51 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -3. Let l = 36 - 33. Suppose 0 = -l*m - i + 51. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3 + 4*y - y**3 - y**2 + y**2. Let m be u(-2). Let o = 5 - 3. Is m != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68.2 + 64.2. Which is the nearest to -0.7? (a) h (b) 2\/149 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-4 - -3)*(-8 - -3). Suppose -q*m = -17*m + 192. Calculate the smallest common multiple of 3 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1016 and 6?\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -9. Suppose -5*s - 3*x + 45 = 0, 0 = 4*s - 0*s - x - 19. Is 27 + (s - l) + 1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wow when three letters picked without replacement from oowww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.4 + -3.6. Let u = t - 1.3. Let j = -0.4 - u. Which is the closest to j? (a) 2\/11 (b) -7 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 72*b - 1173. Let w be n(17). Solve -12 = -13*v - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 5:56 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -10 + -6 - (-7 + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 76. Let h be (1 + s\/15 + 123)*3. What is the greatest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -79\/11561347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 267*c**5 + 1532*c + 668. What is the derivative of g(z) wrt z?\nAnswer: 5340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -782 - -785. Factor 3\/4*y**2 + 1\/4*y**q - 1\/4*y**4 - 5\/4*y + 1\/2.\nAnswer: -(y - 1)**3*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078323.\nAnswer: 3, 359441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -8)\/((-2)\/(-4)). Let o be (y - (2 - 15))\/1. Calculate the highest common divisor of o and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 3*v - 10, 10*v - 7*v - 6 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (9 - (-10 + (-10 + 6 - -4)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b2 - a0?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1816*b + 21. Is m(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2. Let i(h) = 4*h**2 - 18*h + 22. Let z(x) = 27 + 0*x**2 - x**2 - 35 + 0*x + 2*x + 4*x. Let s(p) = -4*i(p) - 11*z(p). What is l(s(c))?\nAnswer: -75*c**4 + 180*c**3 - 108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*k - 4 = 0, -4*u - 10*k + 36 = -13*k. Solve 9*v - u*v = -15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, x: 4, p: 2, f: 8}. Give prob of picking 1 z, 2 x, and 1 p.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*c - 4*g, -3*g - 70 = -6*c + 2*c. Calculate the smallest common multiple of c and 11.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12140 (base 5) to base 10\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 14*l**2. Let d(b) = 17*b + 4. Let i(k) = 19*k + 5. Let p(a) = 5*d(a) - 4*i(a). Determine p(n(u)).\nAnswer: 126*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187)*-4 - sqrt(187) - sqrt(187)) - sqrt(187))*-4 - (sqrt(187) - sqrt(187)*-2*3))\/(2*-1*sqrt(275)*-1).\nAnswer: 17*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2\/(-12)) + ((-110)\/66 - -3)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -5, 1\/4.\nAnswer: -5, 1\/4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20212100 (base 3) in base 2?\nAnswer: 1001110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 34*t**3 - 268 + 83 + 36*t**3 + 41*t**3 - 112*t**3 - 2*t to z*t**3 + q + n*t**2 + h*t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -66, -82, -60, 12, 146?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -75 - -1?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4))**(-14)*(b**(-6\/11)*b)\/(b**(-2\/9)*b) assuming b is positive.\nAnswer: b**(-757\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkntnnkkttn. Give prob of picking 1 k and 3 n.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -6*k + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10650 (base 8) to base 2.\nAnswer: 1000110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348140 and 49888462.\nAnswer: 498884620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2070 and 5.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 939773555 to the nearest integer?\nAnswer: 30656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 348 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112111 (base 3) to base 12.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 3, 21, -99504, -2 in decreasing order.\nAnswer: 21, 10, 5, 3, -2, -99504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-12 + (-138)\/(-12)). Solve 0 = -5*z - v*f + 5, 0 = z + 4*z - f - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11684 and 597281.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405837 by -4.\nAnswer: -405837\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = x - 2*p, 12*p - 17*p = x + 11. Which is the closest to -1? (a) -3\/4 (b) 2.7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -336, -1423, -3216, -5721, -8944, -12891, -17568?\n\"Answer: -g**3 - 347*g**2 - 39*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -5.5. Let n = -128\/33 - -28\/11. Let h = 297 - 296.9. Which is the second biggest value? (a) n (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 511*r**3 - 728*r**3 - 12*r + 299*r**3 + 1 as f*r + c*r**2 + m*r**3 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8436004270 rounded to the nearest 100000?\nAnswer: 8436000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99474 and 98353?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -20*a + 1416. Let q be w(0). Suppose 3*v + q = 5*v. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13 - (4\/5 - (-4)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 0*i = -5*d - 1824 + 1779, 22*d + 2 = -2*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 4)*(-135367*z + 24073*z - 32222*z + 19116*z - 64567*z) to j + y*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12540*g**2*u**3*y**3 + 3946*g**2*u*y**3 + 2*g**2*y**3 - 38*g*y + 82*u**3*y**3 - u**2*y**3 - 6*u*y**3 wrt u.\nAnswer: -75240*g**2*y**3 + 492*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101001 + 233012?\nAnswer: 334013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 33*c**3 + 10*c**2 - 5*c - 180. Let k(h) = -49*h**3 - 14*h**2 + 7*h + 270. Give 5*k(g) + 7*v(g).\nAnswer: -14*g**3 + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 10:13 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7815, -31274, -70373, -125112, -195491, -281510, -383169?\n\"Answer: -7820*i**2 + i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 425458 divided by 8?\nAnswer: 212729\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-742)\/8)\/(190\/(-59280)*273)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -23*l**3 + 6*l**2 + 3. Let x(t) = 1403*t**3 - 368*t**2 - 184. Calculate -184*d(g) - 3*x(g).\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/5 (c) -72.7 (d) -3\/8 (e) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 58447 + 58372 = 0. Put 2, -14, 0, -3, d in descending order.\nAnswer: d, 2, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 4.9. Suppose 8*j - 5*k + 25 = 13*j, -5*k + 19 = 4*j. Which is the closest to y? (a) j (b) -2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -v, -5*v + 2*v = 6. Let u be l\/6 - (-17)\/3. Solve -u*q + 15 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -256 + 766\/3. What is the closest to -1 in 3, 2\/17, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.532\nAnswer: -0.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1001 - -5?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 23*s**8\/8 - 5*s**4\/24 - 56*s**3\/3 + 1348*s**2. Find the second derivative of g(v) wrt v.\nAnswer: 19320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + -3884ad?\nAnswer: -3884c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1681 + 1695 - (33 + 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -32 (b) 1 (c) 729\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {h: 1, c: 3, v: 5, p: 1, k: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9181.53368755 and 2.66.\nAnswer: -9178.87368755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -130\/23 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 116 = 127. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6418017267108 and -0.18.\nAnswer: 6418017267107.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (-224056 - 1)*3. Let i = c + 110908441\/165. Let z = i + 4\/15. What is the common denominator of z and 67\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 6:27 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 19, -0.4, 18, 1\/2, -248\/9?\nAnswer: -248\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-140))\/((42\/(-49))\/(-1))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3044 - 6196 = 24*d + 531*d + 17383 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1413431 greater than -0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + (131 - (-52 + 109)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1718 = 3*q - 1736 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112246?\nAnswer: 2, 56123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.46 + -0.06. Suppose 5*q + 20 = 9*q. Suppose -6 - 9 = q*k. Which is the second smallest value? (a) r (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.82378 micrometers in millimeters?\nAnswer: 0.00582378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-132)\/(-63) + 2 - 6524\/588\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {s: 2, b: 1, a: 1, v: 3, u: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1146 - 6012 - 894 = 671*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192715882 divided by -5.\nAnswer: 192715882\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p - 231 = -34*p - 5*m, 3*p = -2*m - 375. Are p and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 6. Let n be c(-8). Let x(r) = -2*r**2. Let b(i) be the third derivative of -i**5\/6 - 2*i**2 - 435*i. Give n*x(q) + 3*b(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**3\/r*r))**(6\/11))**22)**(-23) assuming r is positive.\nAnswer: r**552","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -10*h + 10. Let t(n) = -4*n + 4. Suppose 32*w + 136 = -248. What is w*t(y) + 5*o(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3 (b) -0.05 (c) 0 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -246, -283, -354, -471, -646, -891?\nAnswer: -1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r + 28*r = 129 + 759 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1869 and 7?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 41 (b) 5 (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1083)\/(-266))\/(-57)*7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3619.5 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678110 greater than or equal to 2678489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -42, -72, -102?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -2\/3, -4, -191.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 - 28544015*h**2 + 57088065*h + 85632075 = 0.\nAnswer: -5708805, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 557.75 + -558. Which is the third biggest value? (a) 0.2 (b) t (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -3, 1.9, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448, 893, 1338, 1783, 2228?\nAnswer: 2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145423 is divided by 309?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1524567 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2*-2 - -45. Suppose k - 2*n = m, 1 + 8 = 3*n. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((224\/(-12))\/56)\/((-13)\/(-3))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4.073 * 55.55\nAnswer: -226.25515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.083481815 and -0.01.\nAnswer: 0.073481815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*m = 26*m + 294. Suppose -5*f + 3*i - i + 35 = 0, 3*i = 2*f - 25. Solve m = -2*a - f*l + 4*l, -4*a = -3*l - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 420*i - 421*i - 44, -4*i + 4*i + 2*j = -8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1*(q\/q**(-7))\/q)**(-41))**(1\/2) assuming q is positive.\nAnswer: q**(-369\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 31*o**2 - 38*o - 8. Let p be x(11). Suppose -3*j + 2*j = 3*f - 48, -5*f = -2*j + 63. What is the highest common divisor of j and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**4\/4 + 7*s**3\/3 + 4*s + 8. Let p(v) = -3*v - 13. What is the smallest common multiple of p(-11) and y(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.2, 11, 0.4, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*n**3 + 2945*n - 2945*n + 124*n**3.\nAnswer: 84*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 9:13 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 20.4718ng?\nAnswer: 0.0204718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -8) + (-1 + -1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -73705666 and -73705666 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -1 + 0*y**3 + 0*y**2 - 1\/2*y**4 + 4*y. Differentiate d(u) with respect to u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 43, 66, 89?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7225632412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/(1*sqrt(400) - sqrt(4)) + (sqrt(8) - (2 + sqrt(8)*2)) + -1 + sqrt(288) + sqrt(288) + sqrt(8) + 0.\nAnswer: -3 + 218*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 2*r**3\/3 - 21*r**2\/2 - 7*r + 3. Suppose 0 = 847*a - 909*a + 682. What is x(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/(r\/(r\/r**(-2\/5))))\/(r*r**0\/r*r**(2\/19)))**(-38) assuming r is positive.\nAnswer: r**(-1006\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3652 and 11\/890756?\nAnswer: 9798316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -608432, -2433091, -5474188, -9731723, -15205696, -21896107, -29802956?\nAnswer: -38926243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a + 253 + 284 - 822 + 285.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.5027 rounded to one decimal place?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.42004 from -840.0213.\nAnswer: -841.44134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/(-30) + -2)\/(2\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12 + 8 + 796*m - 981*m + 6.\nAnswer: -185*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 58710.7\nAnswer: -58713.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (8 + -2)) + 7 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -99.89?\nAnswer: -5.9934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*l = -98*l - 378. Is 15 a factor of ((-16)\/(288\/l))\/((-3)\/68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c5 (base 16) to base 3\nAnswer: 1022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*o + 901 = 17*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*8 - (-5 - -8). Suppose -11*u = -g*u + 26. Calculate the remainder when 74 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/7)*h\/h**(3\/5) assuming h is positive.\nAnswer: h**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(-150)\/(-700)*(-48)\/(-9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1340766608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 4. What is the remainder when (-18)\/(-3) + 3 + 1 is divided by i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/5 + 162*l**2\/5 + 1248*l\/5 + 2464\/5 = 0.\nAnswer: -154, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 5. Let a be l(-4). Let b(u) = -6*u - 2. Let m be b(a). Suppose -5*x - t = -6563, -t + 2*t = m*x - 5254. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3710*d**2 - 2227 wrt d.\nAnswer: 7420*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2423.06 - 2398. Round s to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**5\/60 + d**4\/8 + 2*d**3 - 3*d**2. Let b be n(5). Suppose 4*p = -m, b*p + 2 = -0. Solve t - m = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1)\/((-1)\/4). Let d be (2\/y)\/(1\/8). Is (12\/(-2))\/(8\/d) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**0)\/a)**0\/(a**(-4)\/(a*a\/(a\/(a\/a**(1\/3)*a)))) assuming a is positive.\nAnswer: a**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, p: 13, h: 3}. Give prob of picking 1 p and 3 h.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6) + 15 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 15674.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -175142, -175145, -175152, -175163, -175178?\n\"Answer: -2*g**2 + 3*g - 175143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15575090 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 11) in base 12?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7.3. Let r = 9 + -8.2. Let h = q - r. Which is the third biggest value? (a) -0.2 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2828 divided by -4\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 7 + -6)\/(2\/(-4)). Suppose o*a + 1620 = 10*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 50. Let w = -4 + 4. Let s = d - w. What is the third smallest value in -5, 0.6, s?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 0, -1, -2, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 2*s - 5*l + 130, -3*l + 124 = 5*s. Suppose s + 1 = -2*t - 3*b, -b = 4*t + 28. Let q = t - -53. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 155*x - 2260. Calculate n(13).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.41 - 24.29. Which is the second smallest value? (a) z (b) 1\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*i - 27 + 27 + 3 + 2*i - 3 + (4*i - 3*i + i)*(1 + 0 + 1) - 2*i + 0 + 0.\nAnswer: -56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 455*f**3 - 8*f**2 - 14*f + 3122. Let u(k) = 303*k**3 - 5*k**2 - 9*k + 2080. Let b(r) = 8*u(r) - 5*y(r). What is the first derivative of b(g) wrt g?\nAnswer: 447*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + z - 83. Calculate l(0).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 6*w**2 + 5*w - 2. Let d be j(-4). Let n(m) = -m + 12. Let q be n(11). Does 17 divide -1 - 1 - (d + q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10 - 3*z - 3 + 0*z - 7. Let q(b) = 3*b**2 - 21. Give d(q(t)).\nAnswer: -9*t**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 16 = 0, -2*t - 22 = -4*t - 5*x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -62, 23, 548 in increasing order.\nAnswer: -62, -4, -3, 23, 548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27827*1.2.\nAnswer: 33392.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/132 and 45\/4316?\nAnswer: 142428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1107.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157964972 to the nearest integer?\nAnswer: 12568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**2\/2 - 2*o - 35. Suppose -3*t + 11 = -10. Let g = -10 + t. What is v(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82805.5 to the nearest one hundred.\nAnswer: -82800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.1. Let w = 11 - s. Let i = 11.2999866 - w. Round i to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Suppose 0 = -t*o + 3*o. Suppose o = -2*g + 4*m + 4, g = -0*m - 4*m + 14. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222201 (base 3) to base 4.\nAnswer: 112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3793881660?\nAnswer: 2, 3, 5, 63231361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.288 - 0.287827. Round r to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/14 (b) -3 (c) 7.58 (d) 5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcuuxb. What is prob of sequence ub?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5883, -1, 0 in ascending order.\nAnswer: -5883, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -13.\nAnswer: -13, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 11667*z\/5 - 4666\/5.\nAnswer: -(z + 2333)*(5*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*d = 189*d - 8787 + 2565 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28863 - 1096869\/38. What is the common denominator of 29\/12 and y?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 1171*p**3\/3 - 2421*p**2\/2 + 1215. Find the second derivative of i(b) wrt b.\nAnswer: 2342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, m: 8, t: 5}. What is prob of picking 2 t and 1 g?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x - 4. Let w(c) = 3*c**3 - 40*c**2 + 11*c + 13. Let p be w(13). Let t(i) = -5*i - 2. Let a = 9 - 3. Determine a*b(n) + p*t(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 31. Let h be d(-9). Let g = 23 + h. Calculate the smallest common multiple of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1700179?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1170 and 95\/4.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390850 is divided by 2260?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*j - 2*y, y + 10 = -5*j - 4*y. Calculate the common denominator of 37\/8 and (-1510)\/(-1120) + j*6\/63.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1340*h**2 - 6*h - 6. Let j be x(-1). Find the common denominator of 63\/10 and j\/8*(-5)\/(-200).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/60 - z**3\/6 + 4*z**2. Let t(d) = d**2 - 2. Calculate 2*q(g) - t(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/86, -2\/35, 2, -6?\nAnswer: 5\/86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 21. What is the smallest common multiple of u and 98?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 5) to base 9\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2 (c) -1\/24 (d) 0 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4156*m**2 - 12457*m**2 + 4170*m**2 + 4131*m**2 + m**3 + 0*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199*l + 481*l + 1781*l)*(-3 + 5 + 2).\nAnswer: 8252*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-120)\/210 - 1\/(-14). Let f be (2 + -3)*(1 + 0). Let p be (2\/f*1)\/(-2). Put -2, k, p in descending order.\nAnswer: p, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.5 (c) 2.8 (d) 165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**4\/4 + 5*r**3\/3 + 5*r**2\/2 + 7*r + 2222. Let s(d) = -2*d**3 + 2*d**2 + 3*d - 3. Let i be s(2). What is g(i)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 + 21853\/(-246) - (395\/30 + 2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 12350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28171\/10 + -2810. Find the common denominator of c and 9\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -80684*l - 4 + 80685*l + 4. Let z(v) = -3*v**2 - 6*v - 1. Let p(j) = 13*j**2 + 25*j + 5. Let t(o) = -2*p(o) - 9*z(o). What is -6*m(k) + t(k)?\nAnswer: k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2736 and 6384?\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/5 - 306*c\/5 = 0. Calculate c.\nAnswer: -153, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18566067 and 1677.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**3\/3 - k**2\/2 - 96*k + 13. Let z(d) be the first derivative of t(d). Let q(b) = -b + 1. Give 5*q(r) + 6*z(r).\nAnswer: 7*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - w**2 + 10*w + 574. What is the hundreds digit of s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n + 2*x + 5 = 0, -x - 7 = -4*n. Let m be (0 + 9)*1\/3. Suppose -13 = -h - s, -32 = -m*h + n*s + s. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 18.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 524, 2003, 5020, 10121?\nAnswer: 17852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78330899.\nAnswer: 78330899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6 = -5*q. Suppose -v = -4*y - 0*y + q, 2*v = 10. List the prime factors of 2 + (y - (-33 + 3)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36881194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1823 - -49237\/27. Let m = 98\/135 - i. Let z = 591 + -591.3. Which is the closest to 1\/3? (a) 4 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.046 - -6.954. Let t = -3.26 - -3.2. Let z = t - 0.24. What is the second biggest value in z, -3, v, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*w**2 - 2*w**3 + 30*w**2 + 44*w**2 - 11*w**2 - 6*w**2.\nAnswer: -2*w**3 + 190*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r - 119. Give j(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 - 5*s - 1. Let w be d(-4). Let f = 18 + -14. Put f, -2, w in ascending order.\nAnswer: -2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (208*s - 101*s + 7*s**2 - 109*s)*(17*s + s - 8*s).\nAnswer: 70*s**3 - 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - l - 252. Let b = -24 - l. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(76)\/sqrt(4) - sqrt(19)) - (sqrt(684) + 3))**2 + (5 + -1*sqrt(475)*-1 + sqrt(475) + sqrt(475))**2.\nAnswer: 126*sqrt(19) + 4988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -0.1, 0.17 in ascending order.\nAnswer: -2, -0.1, 0, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-65 - -68 - (0 + -8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 42248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 47*f - 44*f + 9, 2*f + 14 = 4*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3820369\/11 or 347305?\nAnswer: 3820369\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.01392 days in hours?\nAnswer: 1800.33408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-16\/3)\/(c\/(c\/c**(2\/9))))**(-38))**(2\/17) assuming c is positive.\nAnswer: c**(3800\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -0.2 (c) 2\/3 (d) -0.5 (e) 2 (f) 797 (g) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/10 + -3*28\/21. What is the closest to -0.2 in 2\/7, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*w + 17 = 0, -k - 2*k - 11 = w. Let c be (8\/(-12))\/(4\/k). Let a = 0.203 - 0.203. Sort -0.5, c, a.\nAnswer: -0.5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215541 and 23062?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffff. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxfxxuuqffz. What is prob of sequence xz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 87 = 5*v - v, v - 2*g - 23 = 0. What is the greatest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x + 7 = 3*y, -x - 1 = 0. Solve -3*i + 2 + y = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - -2 - (-4 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -17 (c) -4 (d) 16\/5 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258848140 divided by -16244.\nAnswer: -15935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337483 is divided by 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.49, -0.014, 0.08, 0.3 in increasing order.\nAnswer: -1\/3, -0.014, 0.08, 0.3, 0.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0, 3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1011 + 1833 = 411*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9075.862 millimeters in nanometers?\nAnswer: 9075862000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178\/3 - 58. Let s = 84 - 83.9. What is the closest to -5 in j, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -670.607701 + 670.6. What is o rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2032 - -110302322?\nAnswer: 110300230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2247, 2258, 2277, 2304, 2339, 2382?\n\"Answer: 4*i**2 - i + 2244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(-3*x**4 + 3*x**4 + x**4) + 2*x**4 + x**3 - x**3.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27452.74cm to millimeters.\nAnswer: 274527.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - -55.\nAnswer: 55.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14164 rounded to 3 decimal places?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159.3 - 156.3. Which is the nearest to -0.1? (a) -1 (b) s (c) -0.1 (d) -6.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(2\/3)\/v*v)\/v*v)**(-13\/3)\/((v*v**(-2\/13))\/(v*v**(3\/4))))**(21\/2))**(4\/27) assuming v is positive.\nAnswer: v**(-6503\/2106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 55859*k**3 + 572*k - 571. Is r(1) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 17 - (3 - 43 - -19)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12. Let v(o) = 46. Let i(q) = 4*n(q) - v(q). Let p(f) = f + 1. Let k be (-1 + 2)\/(-3 - -2). Give k*p(m) - i(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m + 734. Give u(82).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1498 - 2*g**3 - 2*g**2 + 4983 + 10*g + 5042 wrt g.\nAnswer: -6*g**2 - 4*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 3*t - 17. Calculate the remainder when g(4) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -821424?\nAnswer: 1\/821424","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3634211208 to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.07 + 580718496.\nAnswer: 580718467.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 15*u. Suppose g + 27 - 48 = u. Calculate the greatest common divisor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*w + 5136, -22*w + 4152 = -18*w + 4*k. What is the highest common divisor of 129 and w?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**2 + n**2 + 12*n**2 - 17*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -55\/28 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159.7 + -154.7. What is the closest to 6\/19 in 0.7, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1117 - 1117. Let z(r) be the second derivative of t - 3*r + 0*r**5 + 0*r**2 + 0*r**3 + 3\/4*r**4 + 1\/15*r**6. What is the third derivative of z(m) wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*4\/48 + (-26)\/6. Let i be -2*(x - 45\/(-10)). Which is greater: i or -2\/183?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*l - 34 + 85, 0 = 3*l - 9. Solve q + 50 = -m*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107165 = 2*g - 3*n - 26350, 0 = -5*g - 2*n + 333778. List the prime factors of g.\nAnswer: 2, 3, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 624, -8, 292 in descending order.\nAnswer: 624, 292, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7044888 to the nearest integer?\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/24 and -13\/1863?\nAnswer: 14904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 27*o**2. Let n be x(27). Suppose n = 13*w - 208 - 572. Let u = 2 + 8. Calculate the highest common divisor of w and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:23 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 1. Let r be ((-40)\/(-30))\/(2\/(-6)). Let n = r + 8. What is l(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 + 33 = 0. Let c = t + -16. What is the smallest common multiple of 6 and -17 - -18 - 10\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -31*b**3 - 2201*b**2 - 172*b - 12211. What is s(-71)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39531336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/25, -0.2, -3, 8, -1\/4, -0.04?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252092 is divided by 6812.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -317 (c) -1\/11 (d) 0 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 52*i + 49*i + i**2 - 108*i - 2 - 4. Let t = -12 - -20. Let k be a(t). Solve w + 4*o - o - 4 = 0, -8 = -2*w - k*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8912\/146 + (-2721)\/66211.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 3*g - 15*g.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - 12, 2*y - 3*k = -2. Solve -5*d + c = -18, -y*d - 5*c = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l - 15 - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 34. Solve -2*f - 5*g - 25 = -4*f, -5*f + m*g = -25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154 + 319. Does 33 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130617872, 261235744, 391853616?\nAnswer: 522471488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -690\/341 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 153*l - 6. Let g(y) = -9027*y + 357. Give 238*c(x) + 4*g(x).\nAnswer: 306*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:24 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**3 + 25*c**3 - 17*c**3 - 12*c + 10*c**2 - 5. Let u be j(-11). Solve -u*m - 24 = -m + k, 21 = -4*m + k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**3 - y**2 + 1. Let p be m(-1). Suppose 0 = -2*v + 5*h, 3 = -v + p*h - 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1823 - -2704. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n**2 + n + 79. Determine b(0).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -210. Calculate the greatest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 - -220. Solve -4*u + 19 = 5*i - 4*i, 4*u - q = i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + sqrt(363)*2)**2.\nAnswer: -220*sqrt(3) + 1475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h**3\/5 + 635316*h**2\/5 - 7807376*h\/5 + 2178816\/5 = 0. What is h?\nAnswer: -45392, 2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l + 469 = 4*k, 3*l = 3*k - 345. Suppose -13*a + 53 + k = 0. What is the remainder when 61 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 32 + 482. List the prime factors of h.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2535 by 5.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 706 + -701. Suppose 0 = t + k*a - 181, -5*a = -t + 145 - 14. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35324492 or 1?\nAnswer: 35324492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 35590697.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/2)\/(3\/2). What is the closest to 2 in -3, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -25*(22\/(-5) + 4). Let x be (15\/h)\/((-3)\/(-4)). Solve d**2 - d**x + 3*d - 6*d + 3*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 4*x - 1. Let h be -2*(-8 - (-2 + -5)). Let p be k(h). Let f(o) = -o - 5. Let d be f(-5). Sort d, 1, p, -3 in ascending order.\nAnswer: -3, p, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28*((-4)\/(-8))\/1. Let c = -10 + n. Calculate the greatest common factor of c and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) - 72\/16 - -479. Suppose 17*q = 23*q - k. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a gram in milligrams?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:00 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13705471975674 from -63.\nAnswer: 13705471975611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 0.5 in ascending order.\nAnswer: 0.5, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 18 = 4*a, 2*a - a - 1 = 5*t. Is 4305\/5*t\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = -52. Let y = 17 + h. Solve 3*p - 4*s - 4 = s, -y*p - s = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1 + j + 1. Let m(n) = -3 + 883*n**2 + 3 - 879*n**2. Give l(m(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/2 + 16\/8)*2. Which is the smallest value? (a) 3 (b) -0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13938 - 0.03938. Let v be ((-5)\/2)\/5 + -1. Which is the closest to 0? (a) d (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 4:18 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 40. Let t(r) = -r**3 + 5*r**2 + 7*r + 1. Let k be t(6). Let s = 10 - k. Solve f - z - 8 = 0, -s*f + 4*z = -f - p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49, -213, -619, -1375, -2589, -4369, -6823, -10059?\n\"Answer: -18*a**3 - 13*a**2 + a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (825\/(-242))\/(-25)*(-968)\/(-528)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47*54\/(-7614)*18*2\/6*7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 2288, 0.5, 389?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (726 - 9) + (-2 + 0)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 - 3*f**2 + 5*f**2 + (1 - f - 1)*(-92*f + 35*f - 193*f).\nAnswer: 247*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 83*h**2 + 2*h - 1. Determine y(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/51 - -53\/102. Which is the smallest value? (a) x (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8010000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 3*j + 15, -11*h - 4*j - 6 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/4*(-266)\/171 and 29\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 divided by -5?\nAnswer: -419\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5765.28 rounded to the nearest 10?\nAnswer: -5770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 560 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-36)*-4*3\/4*(-71052)\/(-4085490).\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (179 - 58)) + 49?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6758 divided by -218.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 11. Suppose -20 = -g*s - 4*f, -2*s + 4*f + 4 = -s. Suppose w = 3*v + 3, -w - 2 = s*v - 5. Solve -5*n + n = v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 13.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 186 + 38. Differentiate k + 19 + 56*o + 7*o wrt o.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -3)*((-288)\/(-432) + 106\/12)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/12 + (-33)\/(-18). Suppose -5*n + 3 = l - d*l, 2*l - 12 = 4*n. What is the remainder when 34 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 2*w = -5*s + 25, 0 = -4*w + 20 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -18*k - 263847, -76*l + 81*l = 2*k + 439661. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*x - 1215 + 500 - 2211 = 0 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.025 + -646.025. What is the third biggest value in -1\/2, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(-42)*((z**(1\/4)\/z)\/z)\/z**4)\/((z\/z**(1\/4)*z*z)**(-24)*(z*z\/((z\/(z\/(z**(-1\/8)*z*z)))\/z))\/((z*z*z**(-7)*z)\/z)) assuming z is positive.\nAnswer: z**(769\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-20)*(-16)\/(-6). Let z = 0.13 + -31.13. Let x = z - -34. Which is the biggest value? (a) x (b) 1\/6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - 1.98. Let r = 1.7 + n. Let f = 0.01 + -2.01. Which is the closest to -2? (a) r (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1292567676 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14706636853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/56 - (-116)\/112 - ((-190)\/4)\/5?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -117, -185, -257?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1229921 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 + 105*x**2 - 1827*x - 66825 = 0 for x.\nAnswer: -33, -27, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let t(m) = 6*m**2 - 8*m. Let k = -511 - -561. Let x = 42 - k. What is x*f(l) + t(l)?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1742, -1744, -1746, -1748, -1750, -1752?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 - b - 2. What is k(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -28\/507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**3 - 2*u**2 - u. Let r be j(0). Solve 4*y = -r*w + 4*w - 4, 5*w + 5*y - 45 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15 - -0.45. What is the closest to 3 in g, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 4*t**2 - 2*t**2 + 0 + 2*t**2 + 0 + (-t - t + t)*(0*t + 2*t - 4*t) as a*t + q*t**2 + l and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 + 148. Differentiate 12*h**3 + 8 - 73 - n*h**3 - 83*h**3 with respect to h.\nAnswer: -225*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56324*m**2 - 4*m - 56357*m**2 + 0*m + m**3)*(4 - 3 + 2).\nAnswer: 3*m**3 - 99*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 523, 518, 511, 502, 491, 478, 463?\n\"Answer: -d**2 - 2*d + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.6, 784, 4, -1\/4, 0.06?\nAnswer: 784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivvivvvv. Give prob of sequence vii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23088)\/(-351)*(-702)\/(-624)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*i*x + c*x - 94*c - 7552*i*x + 2*i + 27 wrt x?\nAnswer: -c*i + c - 7552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50409605.\nAnswer: 5, 101, 173, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -328 + 332. What is the derivative of 24*k + s - 113 + 2 - 14*k wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - z**2 - 2*z - 4. Let x(g) = -g**3 + 4*g**2 - g - 3. Let o be x(3). Let h be i(o). Suppose 11*u - 471 = h*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 10:46 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7571663 is divided by 8805.\nAnswer: 8168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 726 and 721 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2. Let m(g) be the first derivative of -17*g**5\/30 + 5*g**2\/2 - 4*g - 14. Let r(x) be the second derivative of m(x). What is r(w(i))?\nAnswer: -136*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, y: 5}. What is prob of picking 4 h?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 244*f**2 + 2271*f**5 + 318*f**2 - 816*f**2 wrt f.\nAnswer: 136260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 3. Let g(v) = 2*v - 1. Let o(w) = -11*g(w) - 6*y(w). Suppose 4*s = 25 + 3. What is the units digit of o(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14172.5 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 756.602ml?\nAnswer: 0.756602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174155*f**2*j**3 - 835*f**2*j + 140*f*j**2 wrt j?\nAnswer: 1044930*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 70*v**4 + 205*v**3 - 85*v**2 - 630*v - 335. Let p(u) = 17*u**4 + 51*u**3 - 21*u**2 - 157*u - 84. Let q(n) = -6*i(n) + 25*p(n). Factor q(f).\nAnswer: 5*(f - 2)*(f + 1)**2*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24790 by 6.\nAnswer: -12395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -413425 - -1366?\nAnswer: -412026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(-2)\/(-15)*-3. Find p, given that 0*p**2 + p**m + 2*p - 4*p = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 1\/120*h**6 + 0*h - 5\/6*h**3 + 32*h**2 + 1\/20*h**5 - 1\/6*h**4 + 0. Let j be 1*(-1 + 1) - 4. What is i(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 892942?\nAnswer: 8929420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 5*j + 7*j + 3*j**3 - 10*j**2 - 2*j**4 + 15*j - 26*j as h + v*j + c*j**4 + g*j**2 + r*j**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 2:06 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 656*r**2 - 18*r + 3. Is c(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by -6.\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 10*i + 1. Let d be p(7). Let y = d + 29. Suppose 3*z - y = 2*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662136203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61 - 630 + 6589*n**2 - 2891 wrt n.\nAnswer: 13178*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(4*w + 4*w - 10*w)*(-5*w**3 + 5*w**3 + 7*w**4)*(-7 - 3 + 0).\nAnswer: 140*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.364 + 0.177. Let l = t - -0.187. Are l and 0.027 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 337*q - 114864. Determine c(341).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, i: 1, c: 3, f: 1, w: 1, s: 6}. Give prob of picking 3 s.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-481)\/(-74))\/(2626\/(-8484)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*u + 41970 = 0, 5*t + 5*u + 64111 - 273991 = 0. Let z = t - 6259. What is z rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 16) to base 12.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -3 - (-58 - (-30 - 3))) + 11?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(10)\/sqrt(2)*-5) - (sqrt(147) + -5 + sqrt(147)*2))**2.\nAnswer: -212*sqrt(3) + 34333\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 7. Let u be b(-3). Let n be (-4 - u)\/(-5) + (-3 - 0). Let m be (-4 + 140\/8)*n. Which is smaller: -28 or m?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44290306.\nAnswer: 2, 22145153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = -0. Let j(s) = -s + 6. Let z be j(y). Solve -2*o - u = -3, 0 = -2*u + z - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.36 - -0.79. Let j = -0.57 - i. Let h = j - 3. What is the smallest value in h, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -186*r + 6880. Calculate k(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 6*l + 4. Calculate the smallest common multiple of 8 and p(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - 306*v**2 - 308*v - 64. Give f(103).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 864 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -14*w**2. Let s be (-8 + 5)*(-2)\/3. Let g(f) = 2*f**2 - f**s + 0*f**2. What is g(o(i))?\nAnswer: 196*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2.42 (b) -5 (c) -30654\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -553*d**3 - 470*d**2 wrt d.\nAnswer: -3318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + -202001020211202?\nAnswer: -202001020212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p - 25*p + 51*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*p + 10 = 0, -1 = r + 3*p - 0. Let k(j) = 2*j + 43. Let y be k(r). Solve -y + 8 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -2*z**5\/15 - 4*z**4\/3 + 22*z**3\/3 - 1045. Solve s(b) = 0.\nAnswer: -11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 57. Let m be 64\/o + (1 - -11603). What is m rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(28\/(-8) + 4). Suppose 0 = p*i + 2*i - 8. Calculate the smallest common multiple of 20\/(-6)*(-4 + 1) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/36 and 2\/19 + (-33501)\/1482?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16800000 = -10*j + 15*j. What is j rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 + 118.89. Round c to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2789 and -494?\nAnswer: -1377766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-138)\/(-2))\/(-3)*-19. Let b(m) = -m**2 - 15*m - 40. Let p be b(-21). Let l = z + p. List the prime factors of l.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) -3 (d) -5\/4 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 15) in base 2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*h + 79 = -12, 5*x = -h + 93. Solve -4*p + x = 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - x + 3*x + (0*x - x + 2*x)*(-3 + 3 + 1) + (x - 2*x + 8*x)*(-3 - 3 + 0) to k + j*x and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.9 + 2.1. Let g = q + -10.4. Which is the second biggest value? (a) -1 (b) -1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2058 - -9049. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 7*k - 8. Let r be a(7). Let p be 34\/8 - (-2)\/r. Solve 0 = -p*t + 2*h - 18, -2*h = 3*t - 4*h + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2.725702 = 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4484 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1508 = -5*b + 5*k + 142, -k + 1315 = 4*b. Does 31 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75\/158 + -2\/79. Let i = 6 + -7. Which is the biggest value? (a) 1 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1563 and 10108963?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-140)\/(-35)*(-10)\/(-8)*1. Suppose 0 = 3*x - z - 33627, 0 = -g*x + 3*z + 38555 + 17490. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 = 4*b - 106. Suppose n + 107 - 306 = -5*v, -162 = -4*v + 2*n. Calculate the lowest common multiple of b and v.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.9 + 2.9. Let u = l - -12.00001. Round u to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -6*f**2 - 1\/5*f**5 + 1\/120*f**6 + 0*f + 0 + 5\/6*f**4 + 2\/3*f**3. List the prime factors of w(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/10)\/((-2)\/(-5)). Suppose h = 3*f - 3. Let p(y) = y - 9. Let m(a) = -a + 9. Let u(c) = -2*m(c) - 3*p(c). Calculate u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*n + 4*a, -1 = n + 3*a - 2*a. Suppose t = -3*i - t + 3, n*i - 3 = -t. Let p be i + 7 - (4 + -2). Solve p*m - m = -25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 0*a**5 + 0*a**3 + 2 - a**2 + 0*a - 1\/480*a**6 + 1\/96*a**4. Let g(c) be the second derivative of z(c). Factor g(s).\nAnswer: -s*(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 11*c**2 - 32*c - 116. Let f be n(-9). Solve 4*i + 2*b = 4*b - f, -5*b + 25 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -660*w - 11220. Let g be u(-17). Which is the second biggest value? (a) g (b) 21 (c) 0.5 (d) -1 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -3*y - 60. Suppose 0 = 4*z - 12, 2*o + 3*z = -o + y. Solve -o*m - 3 = -1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 191557750 and 500?\nAnswer: 383115500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.1 + 0.9. Let f = -8.16 + u. What is f rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102623866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1714537.\nAnswer: 11, 79, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*v = -7 + 1, -2*f + 4*v - 6 = 0. Let s(y) = -9*y - 5. Let i(q) = 5*q + 3. Give f*s(x) - 5*i(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from hczjhhhjz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/11*-1)\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v - 43*v + 68 = 0. Is 2\/7 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2 (c) 2 (d) 59\/4 (e) 213\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -31. Suppose t*a - 1285 = 4*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -69*i**2 - 7*i - 10. Let l(n) = 23*n**2 + 2*n + 3. Determine 7*l(k) + 2*o(k).\nAnswer: 23*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 3. Let q = 8 - h. Solve -2*o - 9 + q = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 11*d - 20 = 0. Let i(f) = -4*f - 3*f + 2 + 0*f - d. Is i(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 11. Suppose 0*p = p - 3*t - 15, 5*t = -20. Let s be 6 - 3*(p + -2). Let x(d) = 6. Let c(y) = s*a(y) - 5*x(y). Factor c(m).\nAnswer: -3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91903, -183935, -275963, -367987, -460007, -552023?\nAnswer: -644035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(4\/1))\/(-2))\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - (-33 + 10))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 62927390 * -17\nAnswer: -1069765630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25460 (base 7) to base 4.\nAnswer: 1221203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 14*x**2 - 14*x. Let u be n(12). Suppose -3*z + 3*v + 603 = -u, 4*v - 1226 = -2*z. Calculate the highest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 101, 127, 153, 179?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/(-93))\/(2\/(-3))*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 162511 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: Suppose 7*c - 22 = -4*c. Suppose 0 = -5*y + 2*i + 5, -2*i + 0*i = -c*y - 4. Suppose 54 = y*d + 81. What is the second biggest value in -2\/3, d, -1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1256541 - 203?\nAnswer: -1256744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((22 - 10)\/(-2) - 4) + 7 + 68 + -3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.328 to one dp.\nAnswer: -22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16769 (base 15) to base 7.\nAnswer: -421341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3565, -3596, -3649, -3736, -3869, -4060, -4321?\nAnswer: -4664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 7*i + 11. Let o(z) = 11*z**2 - 15*z + 23. Let p(t) = 6*o(t) - 13*q(t). Is p(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850315550 a multiple of 2529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 6*z + 2*z)*(-41*z - 38*z - 35*z) to f*z**2 + c + a*z and give f.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let m = 0.5 + r. Let u = 442.6 - 438.6. Which is the closest to u? (a) 5 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 2*z + 1. Let t be k(-3). Put 1\/2, 3, t in increasing order.\nAnswer: t, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133774.8 litres to millilitres.\nAnswer: 133774800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1223 - 10?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.011396*-71.\nAnswer: 0.809116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2 + 8 = 0. Suppose x - 2*x + 2 = 0. Find the third derivative of 2*c**d + 2*c**3 - c**x + c**2 - 4*c**2 wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -2\/25*l**6 - 4\/15*l**3 - 2\/5*l**2 + 4\/15*l**4 + 7*l + 2\/25*l**5 + 0. Find o, given that r(o) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1188\/(-99)*(4 - 148\/32)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/4 - 30\/(-40))*0. Calculate the remainder when 448 is divided by v + (-30)\/((-4)\/4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-128)*(3893648\/(-65052))\/11. Let l = 1\/2224 - r. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/15, -410, -14?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 + -0.08. Let q = -0.16 + o. Let f = q + 0.1858. Round f to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6375 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 493, 489, 475, 445, 393, 313?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -10. Let w be ((-8)\/6)\/(u\/9). Let m = 3 - w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 4, 19, -10, 2 in descending order.\nAnswer: 19, 4, 2, 1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 11*m**2 + 43*m + 479. Calculate x(-9).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlj when three letters picked without replacement from {c: 5, s: 6, l: 1, j: 6, g: 1}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389 = 12*b - 329. Let s(q) be the first derivative of 2*q**2 + 5*q - 1. Give s(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 3*n + 4*n + 2*n**2. Let v(f) = 2*f**2. Determine v(h(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(21)*1 - sqrt(21))\/(sqrt(63)*2))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 7*h**2 - h + 11*h**3 - 10*h**3 to n*h**2 + c + q*h + g*h**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*b + 166 = 0, 84 = -4*n + 5*b - 3*b - 170 - 84 for n.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 112301133?\nAnswer: 112301132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 852304899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 93758*l + 187499. Determine w(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u + 3. Let q(p) = 9*p - 7. Let b(v) = 5*l(v) + 3*q(v). Let s be b(5). What is the derivative of -15*z**4 + 29*z**s - 18*z**4 - 1 wrt z?\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 6 = 18. Let l(s) = -22*s**3 + 2*s**2 - 4*s - 10. What is the tens digit of l(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 73 - 3. Find the second derivative of -108 + 0*l + 85*l**x + l + 106 wrt l.\nAnswer: 1700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (48 - 68) - (14 + 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, b: 6}. What is prob of sequence bgg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*y**4 - 1546*y**3 - 12980*y**2 - 13504*y - 2112 = 0. Calculate y.\nAnswer: -6, -1, -4\/21, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/58 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4)*8\/78\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -346 + 0?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 929914.1 weeks?\nAnswer: 562412047680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - u = 2*u - 41, 3*f - 15 = 3*u. What is the remainder when 109 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -95*g - 76. Let r(m) = 47*m + 37. Let n(k) = -6*c(k) - 13*r(k). Differentiate n(h) with respect to h.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -14*w**2 - 23*w - 6. Let n(o) = -9*o**2 - 15*o - 4. Determine -5*l(p) + 8*n(p).\nAnswer: -2*p**2 - 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 423543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g. Let s(j) be the third derivative of j**5\/120 + 3*j**3 + 9*j**2. Let w(i) be the first derivative of s(i). Calculate c(w(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 29 = -3*g, g - 2 = -w - 10. Let z = g + 9. What is the third derivative of 2*k**3 + z + 0 - 3*k**2 + 2*k**3 wrt k?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -74*g**2 - 136*g. Calculate p(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = -12*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/(2 - 0) + 1000140\/(-30384)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -6417, -6571, -6785, -7059, -7393, -7787, -8241?\nAnswer: -8755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, 756, 2909, 6232, 10725?\nAnswer: 16388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 + j**2 + 2*j + 2. Let p be 1 + 0 + -1 + 3. Suppose l + 0 = -p. Is n(l) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -246 - -480. Let m(t) = -t**3 - 4*t**2 + 1. Let v = 4 + -9. Let j be m(v). Calculate the highest common divisor of j and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*d*i - 34114*d + 205*i wrt i?\nAnswer: 24*d + 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11 - 18 = j, 4*f - j = 24. Put f, 0, -13 in ascending order.\nAnswer: -13, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3687639, 7375280, 11062921, 14750562, 18438203?\nAnswer: 22125844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + 3*p)*(397*p**2 + 2249 - 2249).\nAnswer: 1191*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 divided by -4?\nAnswer: -475\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 183*f - 170*f + 39 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3\/3 + 681832*u**2\/3 - 2045524*u\/3 + 1363688\/3 = 0. What is u?\nAnswer: -170461, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 + 139*p**5 - 78*p**5 + 23*p - 86*p**5 - p**2 wrt p?\nAnswer: -240*p**3 - 1500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/2 - 10)*-1. Let g = 13 - k. Calculate the lowest common multiple of (-12 - -2)\/(-2) + -2 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -55) + -40 + 65 + -45\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 27 = -2*y + 5*g, y - 4*g = 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 163?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 267217 (base 12) to base 9\nAnswer: 1166311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 523397 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) -0.178 (c) 3\/2 (d) -78 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.121 - 7.1. Let m = -35.979 - x. Let r = m - -36.000002. Round r to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + (1264 - -2) + -9.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546472 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -29*x**3 + 20*x**2 + 38*x - 6. What is d(-3)?\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e3571 (base 16) to base 13.\nAnswer: -ac9899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 2*b - b + 4 - b - 4 + (-4 + 2 + 3)*(-2*b + b + 0*b) - b + 2*b - 3*b + (-4*b + 7*b - 5*b)*(0 - 2 + 3) - 3*b + 6*b + b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 486182\/130053 + -3\/12386. Find the common denominator of -155\/42 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(425) - sqrt(17) - sqrt(187)\/(sqrt(11)*-2).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 2. Suppose 3*c = 3*u - 42 + 117, -2*c = -3*u - 48. Let g = 29 - c. What is a(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + 12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146202412 (base 7) to base 2.\nAnswer: -100101011000011011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**3 - 124*u**2 + 675*u - 850. Give k(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11275 + 23645. What is v rounded to the nearest 100?\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*k = -8, -24 = -i - 2*k - 28. Let n = -21 + 3. Let w = -14 - n. Calculate the greatest common factor of i and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 44870263*d. Let k(z) = 4*z**2. What is g(k(b))?\nAnswer: 179481052*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/14, 29, 2\/3 in decreasing order.\nAnswer: 29, 2\/3, -15\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16229*y - 16248*y = -540645. What are the prime factors of y?\nAnswer: 3, 5, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2161, -9611, -22347, -40369, -63677, -92271, -126151?\n\"Answer: -2643*t**2 + 479*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*z = -92*z + 1089. Calculate the highest common divisor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = 2*o. Suppose b - 42 = o*x + 5, 3*b + 5*x - 209 = 0. Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5376.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fggf when four letters picked without replacement from svggvsfkkgffvgg?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 9*u**2 + 8*u + 3. Let h be l(8). Suppose 0 = -h*z + 7 + 5. Let r(v) = v**3 - 3*v**2 - 3*v - 5. Let w be r(z). Sort -2, 3, w.\nAnswer: -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1919 + 1919.5. Sort 0, -5, -2, x in descending order.\nAnswer: x, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*k + 336*k**2 + 958*k**2 - 109*k wrt k?\nAnswer: 2588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958146557.\nAnswer: 15901, 60257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1475913 to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**3 + 5*b**3 + 4 - b**3 - 5*b**2 + 1 - 5*b + 5*b**3. Let q(p) = -7*p**3 + 14*p**2 + 14*p - 14. What is 5*q(l) + 14*x(l)?\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-207)\/(-46)*1\/3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 2 + n**3 - 6 + 0*n**2. Let y be 7*(-48)\/(-56) + -6. What is g(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**3 + 86*i**3 - 25*i**3 - 19*i**3 - 19*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*sqrt(171) + sqrt(171).\nAnswer: -9*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 802944*x**3 - 2*x**2 + 1784998?\nAnswer: 2408832*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5787 (base 11) to base 15\nAnswer: 23b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((1 - (-4 - 2)) + -5 - 6) - -39.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 975? (a) -0.2 (b) -2\/19 (c) -0.4 (d) 3\/5 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(50\/6))\/(-6*(-4)\/104)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 332855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c**2. Let k be ((-3)\/(-2))\/(6\/(-8)). Let y(l) = -10*l**3 + 8*l**2 + 2*l. Let o(h) = k*y(h) + 22*b(h). Determine t so that o(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 10*q - 18. Let s(y) = -3 + 5 + y**2 + q*y - 3*y. Calculate the smallest common multiple of s(-3) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 15, r: 3}. What is prob of sequence krr?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*c - 28*c - 27*c as b + z*c and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*c + 106 - 141, 3*k + 9 = -4*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2. Let n(l) = 3*l**2. Let p(b) = -11*h(b) - 4*n(b). Let o(y) = -6*y**2 + 24*y - 48. Let m(d) = -o(d) + 3*p(d). Find j, given that m(j) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1618*o**2 + 41593 - 41593 - 30677*o**2 - 4*o + o**2 + 4*o + (0*o + 3*o - 2*o)*(0*o - o + 2*o).\nAnswer: -32293*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 + 10931*v**3 - 2*v**2 + 3*v + 17470?\nAnswer: 60*v**2 + 65586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + b**2 - b + 2. Let x(t) = 15*t**3 - 8*t**2 + 8*t - 33. Let i(v) = -3*x(v) - 24*z(v). What is the derivative of i(o) wrt o?\nAnswer: -207*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, u: 3}. What is prob of picking 3 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 5 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**2\/2 - 3. List the prime factors of d(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456542, 913080, 1369618?\nAnswer: 1826156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t - 14 = d, -t + 7 = -5*d. Let b = 1.1 + -1.4. Let n be (-7)\/20 - (15\/(-4) + 3). What is the nearest to -2\/5 in d, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - i. Let d(f) = f**3. Give -d(p) - s(p).\nAnswer: p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*j - 370*j + 5904 - 1552 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/60 and -85\/32?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q + 32. Let j(x) = -7*x - 26. Let r(z) = 3*i(z) + 4*j(z). Calculate r(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 + 1276*q**2 + 9055*q - 16143. Determine r(645).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/6*-1*-3. Solve a + 4*h = t, 0*h = h - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 7*q**4\/6 + 25*q**3\/3 - 999*q**2 - 1. Determine m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/193410 and 117\/21490?\nAnswer: 193410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x**3 + 4133 + 2*x**3 - 4133.\nAnswer: -38*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/373381 and 45\/8.\nAnswer: 2987048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41996 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 3, h: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbt when three letters picked without replacement from {b: 2, z: 6, t: 2, k: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9365 = -6*h + 15757. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 403 = 6*l + 172 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4282 - 4283. Which is smaller: -0.11265 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328617865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 37 - (-4 - -2*3). Suppose 4*d - 4*j - 28 = 32, 0 = 4*d + 3*j - 39. Find the second derivative of -15*t**3 + d*t - 4*t + i*t**3 wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.893617813 rounded to three decimal places?\nAnswer: 0.894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7140454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5902549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 60, 89, 130, 183, 248, 325?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 161954 - j + 15*j**3 + 120*j**2 + 161956 as x*j**3 + r*j + n + d*j**2 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85415*n**5 - 3*n**3 + 82888*n**2 - 2*n - 33 wrt n?\nAnswer: 5124900*n**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7454.\nAnswer: 2, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 84145, 168273, 252387, 336487, 420573, 504645?\n\"Answer: -7*q**2 + 84149*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26\/39*(43 + -1)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**23\/r*r\/(r**(28\/9)\/r*r)*r)\/(r**(12\/5))**12 assuming r is positive.\nAnswer: r**(-311\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -101 (b) 2.3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 1. Suppose 19 + 33 = j*u. Suppose -r = -2*z + 6, -z - u = 2*z + 4*r. Solve 4*y = v - 7, 3*y = 6*v - v - z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (902\/6765)\/(6\/(-20)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*m + 10 - 2, 0 = 5*m. Let g(y) = -y**2 - y**2 + 3*y**2 + 15 + 5*y - 13*y + 0*y**2. List the prime factors of g(v).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/2 - -4. Let o = 22\/5 - 93\/20. Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 514 - 513.8. Let v = 3\/29 + 23\/58. What is the biggest value in g, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-376)\/(-470))\/((-2)\/(-540)) and 312.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2389 = 8*p + 2357 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-1*-4)\/(sqrt(320) - sqrt(320)*-1))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 20*v**2 - 14*v - 14. Let a(d) = 7*d**2 - 5*d - 5. Let g(y) = -17*a(y) + 6*n(y). Give g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -49.7, -2, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44040030 (base 5) in base 4?\nAnswer: 1130022223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118883791227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4 = -5*x - 0*x, o + 2*x - 5 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003101040385 to 5 decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 491 divided by 17\nAnswer: 491\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 83, -2, 5, 0, -5 in ascending order.\nAnswer: -5, -2, 0, 2, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4828.\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600374040.\nAnswer: 2, 3, 5, 7, 17, 42043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - g + 21 - 42 - 29 as y*g + t and give t.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/60 + 17*p**4\/24 - 83*p**3\/6 + 34*p**2. Is y(-35) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t + 15 = 0. Suppose q + 0*q - 17 = 4*y, -5*y + 51 = t*q. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9205.\nAnswer: 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1.2, 1\/2, 0.4, 73344 in increasing order.\nAnswer: -5, -1.2, 0.4, 1\/2, 73344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 18*m**2 - 9*m + 4. List the prime factors of n(3).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w - 3 + 0*w - 3*w + 8*w**2 + 2*w. Let h(k) = -168*k**2 + 168*k + 64. Let n(c) = 64*g(c) + 3*h(c). Find the second derivative of n(z) wrt z.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3\/4, 2, 2\/11, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13 - 1264*r + 2076*r - 324*r**2 + 14 wrt r?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -19)\/((-4)\/(-6)) + (-52 - 13) + -30\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let z be (2\/2)\/(p\/(-23)). Let t(k) = k**3 - k**2 - 3*k + 3. Let o be t(2). Solve z = 2*c + 5*g, -3*c - o = g - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 17 + 50 = 0. Let i be 14\/21 + 48\/(-168)*917\/(-3). What is the greatest common factor of o and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/4 - 3463605*c**2\/4 - 3463614*c - 3463617.\nAnswer: 3*(c - 1154539)*(c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = u - 13, 4*u - 2*u = -3*q - 10. Let v = -3\/472 + 2447\/13688. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10841 = 402*b - 30539 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/((-9)\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 14 = 2*q, -3*q - 3*n = 10 - 4. What is the third derivative of -t**4 + q*t**3 + t**2 + 5*t**4 - 3*t**3 wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78563954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7646 * -0.3\nAnswer: 2293.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 132?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30390692?\nAnswer: 2, 719, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1345*l - 4*p = 1349*l - 4, 2*l = -5*p - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 280683 in -5, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**3 - c - 9*c**2 + 4*c - 4*c**3 + 6*c**2 to the form l*c + t + h*c**2 + x*c**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(39\/(-6) + 3 + 2). Suppose 0 = -5*h - y + w, 15*h - y - 20 = 10*h. Solve -h*p = -5*f - 15, 0 = 3*f - 0*p + 2*p - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 17\/(68\/(-433224)). What is p rounded to the nearest one thousand?\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*y = 91*y + 3*l + 91345, -3*y + 5*l = 274105. Round y to the nearest 1000.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose 3*j + 9 = -0*j, -3*l - 2*j = 51. What is the remainder when 17 is divided by ((-9)\/b)\/(l\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 3*j - 3. Let z(a) = -8*a**2 + 11*a + 11. Let l = 869 + -389. Let h = 458 - l. Let i be -5 + 0 + (0 - 1). Determine h*v(k) + i*z(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0004264261 to five dps.\nAnswer: 1.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 4 = -2*x, x = 5*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from aigsxaxiixaxx?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 9. Let z be n(-7). Suppose 5*b - z - 25 = 0. What is the lowest common multiple of (-2)\/7 + 23\/7 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 106 + 2*b**2 - 42 - 8*b + 5*b**3 - 58. Let c be m(1). Solve -2*t + 7 = -c*v + 6*v, 0 = v - 4*t + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48499863 divided by 1\nAnswer: -48499863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 9*s**2 + 1. Let n be 1\/(-3) - (-28)\/3. Let a be k(n). What is the units digit of 12 - -1*(a + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1777, 23, -8, 3, 5, 1, -4 in descending order.\nAnswer: 1777, 23, 5, 3, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g = 575 + 643. Calculate the remainder when 97 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 222597 = -n. Let y = n + 389474. Let k = -112877 + y. What is k rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2171*o - 1421*o + 3000*o = 90000 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106*u + 50081 - 35273 = -41598 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*a + 12 = 45*a, -5*a - 29 = x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - f - 51 = 2*r, -r - 13 = -f. What is the units digit of (-4)\/r + 182\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 9 + 1 = 0. Which is smaller: -1\/4 or y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 489466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 38, 83, 146, 227, 326?\n\"Answer: 9*x**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**3\/5 - 14502*h**2\/5 + 27725184*h\/5 - 5135456376\/5 = 0.\nAnswer: 207, 3522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 939 and 66414531.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 at least 1820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 2, v: 4, d: 2}. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 780 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 3*c + 106. Let k(u) = u**3 + 5*u**2 - u - 3. Let a be k(-5). Suppose a*l + 6 = -0. Let t(d) = -d - 3. Give l*y(s) - 3*t(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/2*22\/(-55). Let b(r) = 529*r + 9. Is b(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 + -0.12. Let s = a + 15.24. Let y = -15.0008 + s. What is y rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140388473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 730151789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 234 = 6. Solve 15*w = t*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26492 less than 26485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (0 - -3))*1. Suppose 0*q - 5 = 5*q. Let m be q\/(4 + (-14)\/4). Sort -1, m, 8, u in ascending order.\nAnswer: u, m, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8870 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5654179\/26 + -217434. Which is smaller: q or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 145 = 232 - 202 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -1709641.62\nAnswer: 1709635.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327237.\nAnswer: 3, 19, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 11. Solve j + c + b = -4*j, -1 = 3*j + 2*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2595 and 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-43))\/(g**(-40)*g)*(g*(g\/(g**(1\/49)\/g))\/g)**(20\/7) assuming g is positive.\nAnswer: g**(30752\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7 + 13 - (0 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 15. Suppose -d*b + 0*z + 503 = 3*z, 2*b + 4*z = 204. Let m = 8864 - 8839. What is the highest common divisor of m and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18693, -18678, -18665, -18654, -18645, -18638, -18633?\n\"Answer: -h**2 + 18*h - 18710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2727011500.1 + 2727011681.09999911. Let w = 392 + -211. Let y = j - w. Round y to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-21))**50*(t\/(t\/t**32))**(-4\/5))**(-6\/5) assuming t is positive.\nAnswer: t**(-32232\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*d**2 - 35*d**2 + 103*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 51*p**2 - 103*p**2 + 51*p**2. Let d(f) = -9*f - 4. Determine d(u(q)).\nAnswer: 9*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 12. Let f = -140.4 - -138.4. Which is the nearest to 0.19? (a) f (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -4*c - 5*u - 3, 105 = 3*c + 3*u. Let x = c + 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16023 is divided by 641.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -1, -0.5, -315, 2, 2\/13?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**9\/1008 - n**5\/40 - 5*n**3\/6 - 7*n**2. Let b(h) be the first derivative of m(h). Find the second derivative of b(l) wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/5 + (41 - 21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-252)\/168 - 7\/(-2). Solve 0 = -d*v + 4*y + 24, -15*v - y = -13*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4) + 4 + (-9)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3*s = -20, 3*s + 20 = 5*y. Let x(n) = y - 2 - 3*n - 2. Calculate x(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-242) - 34\/176?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*j = -16, 43*o - 2*j = 46*o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/23 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 9*w**2 - 11*w + 3. Let c(a) = -2*a**3 + 18*a**2 - 21*a + 5. Let b(d) = 3*c(d) - 5*m(d). Let n be b(8). Solve n = 5*l + 6 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12709*o + 14445 = -12844*o for o.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43966376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q + 6. Let d(c) be the first derivative of 5*c**2 - 8*c + 125. Let v(r) = -7*r + 5. Give q*d(w) + 8*v(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*l**2 + l - 54*l**2 + 3*l + 4*l**4 - 51*l**2 - 1 to x*l**3 + z*l**4 + d*l**2 + a*l + y and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 207, 412, 617, 822?\n\"Answer: 205*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -39 * -131079\nAnswer: 5112081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.1999 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/3308 - 8479\/2481. Find the common denominator of (22128\/26400 - (-6)\/33) + 0 and w.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2417663 to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjh when three letters picked without replacement from {j: 3, h: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -x - 198, -517 = 4*x - 2*l + 253. Let p = x + 379\/2. Find the common denominator of p and -31\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -437 - -293. Let s = -138.95 - u. Let b = s + -0.05. What is the smallest value in -1, 0, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2767 divide 1850655377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -2 + 2 - -4. Suppose -2*s + 9 + i = 0. Suppose y - b = -1, -b - s - 9 = -5*y. Calculate the remainder when 10 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86050 - -135793. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -7*u**2 - 1\/24*u**4 + 0*u + 7\/3*u**3 + 0. What is s(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -289*y - 111. Does 40 divide w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3011460935?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 4*b)*(4 - 2*b - 4) + 3*b**2 + 3*b**2 - 4*b**2 as f + y*b**2 + d*b and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70205*f + 70418*f - 6177 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*2*(-36)\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -954957 or -954981?\nAnswer: -954981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27852724763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340960 is divided by 49665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - -1.3. Let m = k + -1.95. What is m rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - ((16 - (-14 + 21)) + 0)) + -97.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c896a2 (base 14) in base 4?\nAnswer: 121321002132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(1 - 556\/(-6)). Let p(b) = -95*b**2. Let o be p(1). Let d = o + k. Is d != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-3) - 1*-4. What is the third derivative of 0 - 9*k**i - 7 + 7 - 13*k**5 wrt k?\nAnswer: -780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 23*j - 253. Let g(v) = -1. Let c(q) = 2*q**3 - 3*q - 506. Let f be c(0). Calculate f*g(h) + 2*p(h).\nAnswer: 46*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16442?\nAnswer: 2, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 3)*(2*t - 6*t + 2*t) + (-4 + 2 - 2*t + 0)*(-24 + 7 - 11) + 4 - 2*t + 0 - t.\nAnswer: 51*t + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:35 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -5*s + 4*a, -8*a + 35 = -3*s - 24*a for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: e823 (base 15) to base 13\nAnswer: 19458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 22 = -g, n + 58 = 2*g - 0*n. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 865*l + 66601 - 149641 for l.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1712*w + 16859 + 1141 = -7680 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 3*i**2 + 3*i + 2. Let b = -168 - -166. Calculate the lowest common multiple of s(b) and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -435*z + 327?\nAnswer: -435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(30\/8))\/(8640\/108000).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15208953*w**2 - 528*w**3 - 7604477*w**2 - 7604476*w**2.\nAnswer: -528*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4954409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 32*k**2 + 52*k + 24.\nAnswer: 4*(k + 1)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473 + 3*g**3 + 1503 - 525 - 505.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-24)*(64\/(-12))\/2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742 + 742 - 47841*i.\nAnswer: -47841*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50062178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 0)*8\/(-6). Let w(u) = -5*u**3 - 2*u**2 + 7*u + 6. Let z(l) = -l**3. Let i(h) = w(h) - 4*z(h). What is the remainder when i(f) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 10*d**2 + 1795*d - 12387. Give c(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.00000041 - -17. What is j rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2434*n - 2447*n + 299 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)\/(z*z**1))\/(z\/z**(-2\/11)*z**(-1\/2)) assuming z is positive.\nAnswer: z**(-107\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaatapaatapa. Give prob of sequence tt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.019 less than -113819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-3)*(-17146)\/(-16). Let d = 1424 + w. Let l = -253551\/22 + 11521. Calculate the common denominator of l and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 30 = 2*a. Let n be (-1 - 0) + 47\/(1 + 0). Let d = a + n. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41047 at most -41046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -487*d - 9. Give s(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, 3, -3, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 4\/3*c**3 + 0 - 2\/9*c**4 + 0*c**2 = 0 for c.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93232007 and 561.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 - 41 = 0. Solve 0 = 5*a - 4*w - f, 9*a = 4*a + 5*w + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -11*c**6\/15 - c**3 + 14*c. What is the second derivative of j(p) wrt p?\nAnswer: -264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, q: 2, n: 3, c: 6}. Give prob of picking 1 u and 1 n.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0 + 0*w + 0*w**3 + 0*w**4 - 3*w**2 - 1\/30*w**5. Let v(d) = 2*d. Determine z(v(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - v + 18461*v**3 + 2 - 163530*v**3.\nAnswer: -145069*v**3 - 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*z - 6 - 2 = 0, 0 = -5*g - 3*z + 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33791 is divided by 476.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-4) - 15\/(-12)) + 2. Suppose -5*z + f*i + 259 = -181, -2*i = 0. Suppose -z = c - 9*c. Is 8 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*h + n + 2, 0 = -2*h + n - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -49*p**6\/27 + 154*p**5\/45 - 16*p**4\/9 + 8*p**3\/27 - 18. Factor v(k).\nAnswer: -2*k**2*(k - 1)*(7*k - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259 - 61. Calculate the highest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3792282 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*r - 240928 = -286*r. Is -7529 not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 126 = -16*u - 207 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -75 - (1 - 6\/2). Let x = 113 - -10. Let u = n + x. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 9 - -7 - -17\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*i - 10*i + 9*i)*(0*i + 0*i + 2*i) + (i + 2*i - 4*i)*(i - 2*i + 0*i).\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*m + 1729943, 231*m - 576621 = -b + 236*m. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5252321125 + 2?\nAnswer: -5252321123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179815065 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**2 + 4*w - 26. Let g(a) = -2*a**2 - a + 9. Calculate -3*c(n) - 10*g(n).\nAnswer: 2*n**2 - 2*n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114075\/2 + 3\/2*u**2 - 585*u.\nAnswer: 3*(u - 195)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {e: 3, t: 3, u: 7, c: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -2.1. Let u = 3\/59 + 103\/295. Which is the third smallest value? (a) f (b) 1\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*z + 3999 - 2283 - 1716.\nAnswer: 343*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 559 - 443. Suppose 0 = -3*c + 4*t + 780, 5*t - b - 691 = -3*c. What is the smallest common multiple of c and 2?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246074719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2257 or -2279?\nAnswer: -2279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 13 (b) 4 (c) -6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v, 0*v - 9 = -5*h + v. Find the first derivative of 0 + 17 - 1 + h - 13*s wrt s.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 + 702. Calculate the remainder when o is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 12:29 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51829206, 103658416, 155487626, 207316836, 259146046, 310975256?\nAnswer: 362804466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*k - 0*k. Let t be -1*2*(-7812)\/(-72). Let f = t - -214. Which is the biggest value? (a) 3 (b) -0.5 (c) k (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 22. Let v be f(-9). Suppose -3291 = -v*k + 1145. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/2376)\/(20\/(-6)). Let w = -436\/99 + n. Let v = 2\/1805 + 36082\/16245. Find the common denominator of v and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -780429, -780452, -780475, -780498, -780521, -780544?\n\"Answer: -23*w - 780406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*n**2 + (n - 6*n + 3*n)*(4*n + 8 - 8).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17038*s**5 - 4970*s**4 - 4*s - 7655370 wrt s.\nAnswer: 340760*s**3 - 59640*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6)*((-80)\/(-75))\/(-8)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228 + -224. Solve -3*w = -w + 4*x - 26, -4*w = -4*x - i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/2 + 34*r**2 + 690*r + 3600 = 0. What is r?\nAnswer: -30, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7735987ng?\nAnswer: 0.0007735987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 = 3*z - 12, -2 = -2*r. Let h(v) = 24*v - 194. What is the remainder when 30 is divided by h(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:10 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79670155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -4, -2804, -5.\nAnswer: -2804, -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 62*s**3 - 239*s**4 - 33*s**2 + 33*s**2 - 2 - 60*s**3 to i*s**4 + q + g*s + a*s**3 + k*s**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 623747111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/11)*h*h**(2\/7))**(1\/11))**(-9\/7))**(-5\/4) assuming h is positive.\nAnswer: h**(5085\/23716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1036380582 to the nearest integer?\nAnswer: 32193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/175*15)\/(((-24)\/(-90)*-3)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 18 = 2. Suppose j*f - 28 = 4*z, 3*f + 4*z - 25 - 11 = 0. What is the remainder when 37 is divided by ((-26)\/(-5))\/(f\/20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 >= 52\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26617 + -26344. Calculate the highest common divisor of 8385 and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -609 divided by -173\nAnswer: 609\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2904 and 32.\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 17 = -3*t - 2*h, t + 4*h = 1. Suppose -t = -67*z + 64*z. Solve 5*r - 5*d + z*d + 19 = 0, 4*d - 11 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 1. Let d(o) be the second derivative of -5*o**3\/6 + o**2\/2 + 5*o. Suppose 1023 = 8*t + 1071. Give t*b(x) + 5*d(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 154071900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 16) in base 10?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 85 = 6*k. Suppose 5*h = -9 + 94. Calculate the greatest common divisor of h and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 190 = -5*o + 6*h, -4*o + 5*h - 143 = 0. Let s = -2 + o. Is (-1)\/((2\/s)\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 1120442490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(847) + -1)**2*-1.\nAnswer: -3389 - 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 6290*j - 18868. Determine s(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1665796 days to microseconds.\nAnswer: 14392477440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppjjpccconooppnj. What is prob of picking 1 n and 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1783733 and 3959.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216 - -84. Let o = 299.999897 - b. Round o to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*a - 899*a = -481*a - 810 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13162044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18323?\nAnswer: 73, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21630, -43264, -64898?\n\"Answer: -21634*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**2 - 3*i + 36. Let l(p) = -20*p**2 + 6*p - 71. Determine -6*l(b) - 11*r(b).\nAnswer: -b**2 - 3*b + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -26 and 17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 5*v**3 + 0*v**3)*(196 - 5*v - 6 + 6*v - 41).\nAnswer: -2*v**4 - 298*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.4. Let h = -0.1 - 0.3. Which is the nearest to 0? (a) q (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, -0.55, 1.1, -0.3, -126?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(245) + -2) - ((sqrt(245) - sqrt(245)*2) + 4 + sqrt(245) - sqrt(245)) - (sqrt(135)\/(sqrt(15)\/sqrt(5)))\/(sqrt(729) + sqrt(729)*-2))**2.\nAnswer: -3040*sqrt(5)\/9 + 185684\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2 - 5497110*r = 0?\nAnswer: -1832370, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175913 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 9*x**2 + 9*x + 11. Let v(h) = -3*h - 46. Let j be v(-14). Let o be -5 + (-4)\/(j\/(-3)). What is m(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 22. Suppose 2*p + 11 - 3 = v. Let x be 58*(10\/36 + p\/(-18)). Solve -i = y + 3, 2*y = 4*i - 5 + x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026004 is divided by 1626.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z - 2. Suppose -4*b + 15 = b. What are the prime factors of o(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 2*v + 4. Let d be y(-4). Let h = d + 10. Solve 14 = 2*m + h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 3:11 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 3\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100836\/191 at most 16235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l = -7*l + 55 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 38, 53, 68, 83?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzjzzjjzj. Give prob of sequence jjj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -218\/5 - -44. What is the closest to x in -10, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + -1 + sqrt(272) + sqrt(170)\/(sqrt(40)\/sqrt(4)) + sqrt(68)\/sqrt(4)*2)*2 + 0.\nAnswer: 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/3))\/p)\/(p*p*p**(-1\/5))*(p*p**(-1\/4))**(-35))**(-5\/3) assuming p is positive.\nAnswer: p**(1723\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -65*d + 60*d. Suppose o + 160 = -d*o. Let h = 2 - o. List 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 the cube root of 362317 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756915 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361.819 rounded to the nearest 10?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*c - q, 3*c - 3*q - 35 = -2*c. Let t be (-2)\/5 - (-4)\/10. Suppose -2*v + 5*n - 23 = t, 5*v - 2*n - 30 = -c*n. Solve -2*k + v = 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38871539703 from 1.\nAnswer: -38871539702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1064 and -0.33?\nAnswer: 351.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265 - 1076 + 276 + 271 + 7*g**2 + 264.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 22. Let b(d) = 5*d**3 - 21*d**2 + 5*d + 11. Let f(j) = -j**3 + 4*j**2 - j - 2. Let y(p) = q*f(p) + 2*b(p). Factor y(w).\nAnswer: -w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2766.9735 months?\nAnswer: 230.581125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g - 2*g**3 + 8*g - 15*g - 6*g**2 in the form f*g**2 + b + q*g + l*g**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42467731087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 479*n**3 - n**2 - 3*n + 3. List the prime factors of j(1).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29400106 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(924*a - 2 - 1852*a + 954*a).\nAnswer: -130*a + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 10:40 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0 - i**2 + 1\/1155*i**7 + 1\/330*i**6 + 0*i**4 + 0*i**3 + 0*i + 1\/330*i**5. Factor y(o).\nAnswer: 2*o**2*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 166*p\/3.\nAnswer: -2*p*(p + 83)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 - 449*y**2\/2 - 1196748*y - 560391048.\nAnswer: (y - 1961)*(y + 756)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 20. Let r be m(-9). Factor -10*w + r - 3*w**2 + 16*w + 4 + 11*w.\nAnswer: -(w - 6)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 - 9*f**2 - f + 9. Let s(y) = y**3 - 3*y**2 + 3. Let k(p) = 4*a(p) - 11*s(p). Let c = 261 - 258. Give k(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20129 + 20108. Let j(g) = 4*g**2 + 80*g - 91. Give j(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15914303\/10881520 - -1\/136019. Calculate the common denominator of -163\/60 and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0 (c) -3.26 (d) -0.1 (e) 12 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Let i(b) = 36*b - 8. Let c be i(0). Let y be ((-30)\/(-200)*-5)\/(2\/c). Solve -4 = -5*v - 3*f - 22, -y*f = m*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/(sqrt(28)*-4))\/(-2*sqrt(252) - sqrt(252)*-1).\nAnswer: sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 82?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 4, n: 6}. Give prob of sequence yy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100729821 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-114)*-138*4\/8\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = 9. Is z at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29522*i - 29567*i = 450 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**3 + 67*y**2 + 12*y - 21. What is b(-9)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1135*t + 2877*t - 2455*t + 4103*t to the form v + o*t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - (-17 + -2 + (-13 - -9))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/(z**6*z))\/(z\/(z**(2\/9)*z)*z**(-1\/5))*z**8*z*z**(4\/5)*(z\/(z**(3\/2)\/z)*z*z)\/(z*z\/z**0) assuming z is positive.\nAnswer: z**(193\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52872455, 5, 1\/7, -2\/15.\nAnswer: -52872455, -2\/15, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6958933 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63910849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 - (-6 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 13*r**3 + 6*r**2 - 6*r. Let t(f) = 12*f**3 + 5*f**2 - 5*f. Determine -6*t(o) + 5*w(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**4 - 245*c**2 - 16925*c wrt c?\nAnswer: -120*c**2 - 490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*i - 7596 - 79849, 3*i - 65583 = 4*o. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = -b - 24, 4*o = -3*b + 56. Let y(c) = 16*c**2 + 6*c - 5. Let l(f) = 3*f**2 + f - 1. Give o*l(h) - 2*y(h).\nAnswer: h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 19*b**2 + 22*b - 17. Let a be w(18). Suppose 2*k = 23 - 1. Calculate the highest common factor of a and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - (47 - 27)) + 15?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 9:13 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m + 13. Let l be o(6). Let y be 7348\/l - (-8)\/(-20). Let g = 7387\/5 + y. Find the common denominator of g and -7\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1031 - 1030.99999146. What is g rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 0*b + b)*(-4*b**2 - 3*b**2 + b**2) - 2*b**3 + 3*b**3 - 7*b**3 - b as h*b + s*b**2 + d + t*b**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 5*u**2 + 4*u - 2. Let r be d(-6). Suppose -r = g - 2*g. Let l be (2\/(-3))\/(g\/15). Let y(h) = -3*h**3 - h - 1. Calculate y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-13 - -25) - 3 - (8 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10527, 19154, 27781?\nAnswer: 36408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = -2*b + 7*b. Suppose 5*f = 3*f + b. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6424 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -63. What is z rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-120)*5*16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**4*l - 9*g**4 - 4*g*l + 990*l wrt g.\nAnswer: 4*g**3*l - 36*g**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 3. Let i(a) = -9*a**2 - 7. Let p(g) = -2*i(g) - 5*j(g). Let c(h) be the first derivative of p(h). Let r(t) = -2*t. Determine c(r(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115309*o**5 + 2269*o**2 - 16?\nAnswer: -6918540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 10 + 3 + 19*d + 29.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.3, 139, -10, -1 in decreasing order.\nAnswer: 139, 1\/6, -0.3, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 579080 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuiuuwuiwuuwuwuuuri. What is prob of picking 2 i and 2 w?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/45 less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/21)\/((-6)\/(-21)). Suppose 2*f = -2*i + a*i - 248, 4*f + 486 = 3*i. Is 19 a factor of (-4)\/(-30) + (-6824)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a hour?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 7695 - 5277. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -3\/79781, 2?\nAnswer: -3\/79781","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 21*f**2 + 9 - 3*f - 6 - 4*f + 4*f. Is s(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1451432 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 419 - (3 - 2\/1). Let z = 705 - l. List the prime factors of z.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**4 - 3*y**4 + 3*y**4)*(4 + 1 - 3) - 3*y + 3*y - 5*y**4 - 187 - 22*y**4 + 187 + (-3 + 3 + y**2)*(-5*y**2 + y**2 + 3*y**2).\nAnswer: -34*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 1141713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 1. Let y be p(-4). Let b(l) = -l**2 + 5*l - 3. Let m be b(y). Solve m*h - 5*i = -32, -4*h = -2*i + 1 + 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/9 - 110288*y\/3 + 330862\/9 = 0.\nAnswer: 1, 165431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -19) + 54 + (22 - 19) + (1 - 9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 + 882828854*b\/5 + 194846696363738329\/5.\nAnswer: (b + 441414427)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-8) - 134\/84. Let t = 1.03 + -1.1. Let a = 0.23 - t. What is the second smallest value in 0.2, a, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 4*m + 4*v, -4*m + 123 = m - 4*v. Suppose 5*a + 70 = -2*a. Let n(j) = -4*j - 34. What is the smallest common multiple of n(a) and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = k + p + 11, -4*k - 3*p = -1. Suppose k = 2*z - 26. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 3, j: 4}. What is prob of picking 1 j and 2 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, 4, 498 in descending order.\nAnswer: 498, 4, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + g + 2 + 7, -4*k + 16 = -4*g. Let y = 1 - k. Let h(l) be the third derivative of 5*l**4\/24 - l**3\/2 + 11*l**2. What is h(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109360808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 + 10 = -2*l, 0 = 4*l - 2*k + 22. Let d be -2 - (15\/6 + -3). Which is the smallest value? (a) 1 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 16\/13 (c) -25633\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37014 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -4.072, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 8*l**2 + 10*l - 7. Let j be c(9). Suppose 6*p - 3*p = 4*o + j, 5*p - o - 9 = 0. Factor -4*a**p - 5 - a**3 + 5 - 4*a.\nAnswer: -a*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4087379*g**2 + 9627020 wrt g?\nAnswer: -8174758*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5 + 10*k + k**2 + 2 - 6. Let m be w(-5). Let q = -10 - m. Calculate the smallest common multiple of q and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*q - 5512, -7*h = -5*h + q - 2204. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 16 - 4. Let u(k) = 7*k. Let l(v) = -8*v. Let s(o) = n*l(o) + 4*u(o). Let a(f) be the second derivative of 5*f**4\/12 + 24*f + 1. Determine s(a(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, g: 9}. Give prob of picking 3 g and 1 f.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 - -467. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 132. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-36)*(-1108)\/13850.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = b, 9*q + 345*b - 349*b + 38 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 4*w**2 - 5*w + 0*w**2 - 6 + 1. Suppose -10*o = 13*o - 0*o + 115. Determine u(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -295607*n**2. Let w(m) = -4*m. Determine w(p(q)).\nAnswer: 1182428*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1349 in -14, 0.2, -9\/8, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w - 2. Let d be a(0). Let b be ((d - -1)*0)\/((-5)\/(-5)). Suppose b = -3*x + 5*x - 32. What is the greatest common factor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/9)\/f*f**(-18)\/f*f*f*(f\/f**(8\/5))\/f*f\/(f\/((f*f*f*f**(-3\/10))\/f)))**(-41) assuming f is positive.\nAnswer: f**(66461\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(171) - (sqrt(171) + -1)) + (-2 + sqrt(171))*6)*1*1)**2*6 + -3.\nAnswer: -2808*sqrt(19) + 37947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397691 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00079339 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11306 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/((-147)\/26736) + 11\/77. Let j = d - -2088. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24463 is divided by 556?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8765931 to the power of 1\/2, to the nearest integer?\nAnswer: 2961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.30255.\nAnswer: -0.30255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -4. Let s = -28.26 - -3.26. What is the second biggest value in h, 0.4, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*w + 160, 5*h = -3*w + 2*h + 126. Suppose 4*g = 5*g - w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134785608 and 3556?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-96)\/(-6) + (1 - 3). Suppose -4*j - 3 = 5*n + 2, x = -4*j - 2*n. Let y(o) = o + 6. Let u be y(j). Solve 3*p + 0 - 1 = -4*z, 4*p = -5*z + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h**5 - 1\/12*h**4 + 0 - 1\/6*h**3 - h**2 + 1\/60*h**6 + 0*h + 1\/210*h**7. Suppose b(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 + 6*y**4 + 0*y**4 - 6 - 5*y**4 - 2*y as f*y**3 + b*y**4 + g + v*y + s*y**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19657 + 41188. Let v = -473603\/22 + y. What is the common denominator of v and -71\/26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51316*v**2 - 315927*v + 1 wrt v?\nAnswer: -102632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oco when three letters picked without replacement from ocuouuoc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 81*l - 2830. Determine v(26).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006218 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -689*a**2. Let r(b) = 3*b**2. What is m(r(y))?\nAnswer: -6201*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 14 = 5. Let a be (-2)\/(2 + k\/(-3)). Suppose -7*t + 5 = 12. Which is greater: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.059 - -0.041. Let n = -2.1 + 4.1. What is the biggest value in n, g, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*g - 2 = 0, 2*u - 4*u + 3*g = 0. Let v(x) = 2*x + 6. Determine v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -9*r**5 + 257*r**4 - 1324*r**3 + 548*r**2 + 528*r = 0.\nAnswer: -4\/9, 0, 1, 6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t - 6. Let q(n) = -n + 1. Let z(s) = -2*b(s) - 18*q(s). Let i be z(2). Solve -10 = 5*u - w, u + w + 2 = -i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1575 (b) -31\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -102, -4, -6 in ascending order.\nAnswer: -102, -6, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 + -81 + 40 - (-21 - -4)) + -2 + -9?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248515 and 7222?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:30 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*u + 79. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/88*-8*46\/(-69)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5982 + 31205. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1139 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Let w(o) = 2*o - 20. Let h(g) = 3*v(g) - w(g). Give h(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114 - (-23 - 92))*(0 + (-4)\/38).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -8, b - 36 = 6*b + f. Find the common denominator of 2\/b + 3\/8 and 37\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 3)\/(9\/(-6)). Suppose -4*b = -m*o + 18, 5*o = 2*b - 4*b - 27. Let p = b - -9. Solve -p*s - 7 = 2*q - 0*s, 2*s = -q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054020082 to the power of 1\/3, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose 0 = -4*s - z - 6, 0 = -2*n - 4*s - 30. Let r = 18 + n. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (23 - (1 - -4) - 20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*x + 5 = -227*x - 2*u, -5*x + 4*u - 45 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2585, 2595, 2605?\n\"Answer: 10*m + 2575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 2*t**2. Let m be y(2). Let s = 431.7 - 432. What is the second smallest value in s, m, -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652019009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17918, -36071, -54224, -72377, -90530?\n\"Answer: -18153*g + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 6) + (-2 - 7) + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 a, and 1 s when four letters picked without replacement from {j: 1, v: 4, a: 1, p: 6, s: 1, c: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1161 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3\/9 + 572*o**2\/3 - 936*o - 23744\/9 = 0.\nAnswer: -2, 7, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5)\/t)\/t*t*t\/(t\/t**(-3\/2))*t*(t**1)**(1\/20) assuming t is positive.\nAnswer: t**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 82 = -6. Let d = b + -16. Suppose -d*q + 1 + 11 = 0. Solve 2*s - p - 7 = 0, -q = -5*s + 2*p + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 j when three letters picked without replacement from {i: 3, j: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 56*z + 30. Let u(f) = 102*f + 61. Give -11*b(i) + 6*u(i).\nAnswer: -4*i + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v + 24 = 0. Let c be 26\/7 - v\/84. Let w be ((-81)\/18)\/((-6)\/4). Is w at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6849291, 13698585, 20547879, 27397173?\nAnswer: 34246467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8974816 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/11)\/(u*u*u**(2\/39))*(u\/u**3)\/u**(-1\/3) assuming u is positive.\nAnswer: u**(-1517\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48857331 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/(-1081) + 944\/(-23) + -13?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.43, -0.2, 8834 in increasing order.\nAnswer: -4.43, -0.2, 8834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.059 (c) -0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 1250 = 22*o. Let u = o + 435. List the prime factors of u.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/2)\/((-16)\/(-1248))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5\/8 + 9*r**4\/4 - 21*r**3\/8 - 9*r**2\/4 + 3*r = 0. What is r?\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/14 and 19\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/(-3) - 2\/3. Let w = -26 - -68. Let y be w + 1 - (-2 + 0). Calculate the greatest common divisor of i and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734*z - 30*z = -298*z + 5010 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -4 (c) 4815 (d) 5 (e) 136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2162955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3430 divided by -157.\nAnswer: 3430\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100422200 and 100422200.\nAnswer: 100422200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 1515855.\nAnswer: 3031710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*p + 3 = 0, -6*t + p + 6 = -8*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04641 and 9733063633?\nAnswer: 9733063633.04641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x + 2*x**2 + 0*x - 3443*x**3 + 3370*x**3 + 3*x**2 to y*x + w + t*x**3 + b*x**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 539230576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - 94. Let v(d) be the first derivative of -2\/9*d**3 + 1\/6*d**i + 1\/15*d**5 + 1 + 1\/3*d - 1\/6*d**2 - 1\/18*d**6. Factor v(s).\nAnswer: -(s - 1)**3*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48*2 + -2 - -2. What is the greatest common divisor of k and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-14)*(2\/1)\/(-6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -1010240424?\nAnswer: 1010240440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1525 (b) -0.4 (c) 11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 736 + -718. Let n(p) = 9*p - 7*p**2 - i*p + 9*p. Let o(z) = -2*z**2. Give n(o(g)).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1008 and 2044.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -182.6?\nAnswer: 184.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016)*4)\/((sqrt(54)\/sqrt(3))\/sqrt(9)))**2*2.\nAnswer: 32256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6440246 is divided by 246.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 5, -0.7 in descending order.\nAnswer: 5, -0.7, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ssassaa?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4a (base 12) to base 9\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 59 = 5*j, 0 = -859*v + 854*v - 4*j - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-5) - 156\/(-30). Let g = f - 7. Which is greater: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*p - 59*p = -48. What is the smallest value in 1.04, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3329, 18, -20, -5 in decreasing order.\nAnswer: 18, -5, -20, -3329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2\/3 - 15700*j\/3 - 1170008 = 0.\nAnswer: -3687, -238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3265517 to 4 decimal places.\nAnswer: 0.3266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-592)\/12*(-2 + 2\/4).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-51)\/12 - (-2)\/8. Let a = -0.9 + 1. Let s = 0.6 + -0.6. What is the closest to s in a, -5, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 24 = 7*g + 7*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 20. Let s(y) = -2*y**3 + 2*y**2 - y. Let u be s(a). Let b = u - 14. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y\/y**(-2\/11)*y))\/y*y*y**(3\/5)*y)**38 assuming y is positive.\nAnswer: y**(5054\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27\/8 in -3\/5, 0.07, -0.2, -4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -48 and 53032989935?\nAnswer: 53032989983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1121a + 145?\nAnswer: -110c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1029)*-1*5)\/(1*sqrt(175)*4 + sqrt(175) + sqrt(175)*-1*3).\nAnswer: -21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5740*o**2 + 67912*o - 134464 = 0.\nAnswer: 88\/35, 382\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*n**4 + (0*n + 0*n + 2*n**2)*(-4*n + 4*n + 5*n**2) + (-2 + 2 + n**3)*(n - 1 + 1) + 4*n**4 - 3*n**4 + n**4.\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 52 = -8. Suppose 0 = j + x - 388, 0 = -t*j + x - 821 + 1997. What is the highest common divisor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qan when three letters picked without replacement from {n: 2, z: 1, a: 1, j: 6, q: 4, y: 1}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 245 = 5*y, y = -0*y - 2*j + 34. Calculate the remainder when 164 is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 0*m**2 - 19\/5*m**5 + 144*m - 4\/3*m**3 + 0*m**4 - 121. Find the first derivative of h(w) wrt w.\nAnswer: -76*w**3 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 3.45.\nAnswer: 1.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3121038 and 3.\nAnswer: -3121035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 - 607*m + 41262. Determine s(-256).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/7)\/(12\/(-1596)*-361)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 38*c + 133. Determine r(-39).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1984 and -7\/367040.\nAnswer: 367040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 70. Which is the nearest to z? (a) -3\/5 (b) 8 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k - 1. Give f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282985 is divided by 56597.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 16 + 4 - 12*q**2 + 5 + 2*q**3 + 9*q**2 as m*q**3 + s + p*q + j*q**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 928027871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2454 = -106. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, i: 5}. What is prob of sequence ixx?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 2*o**2 - 5*o - 4. Let t be h(-2). Suppose t*a + 16 = 8*a. What is the second derivative of -129 - 2*m + 129 - a*m**3 - m wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9830870 divided by -40126?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/2795 and 59\/73340.\nAnswer: 40997060","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3)*0 + 3. Suppose -a - a + 18 = 0. Suppose h*y - 5*y + a = b, y = b. Solve z + 18 = c - b*z, -c = -5*z - 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7369*h**4*v**3 + 316*h**2*v**3 + 256391130*v**3 wrt h?\nAnswer: 29476*h**3*v**3 + 632*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 3, m: 4, v: 11}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966915176 to the power of 1\/2, to the nearest integer?\nAnswer: 44350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 887 = -892. Solve x*c - 2*p = 0, 2*p = 3*c - 0*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -2\/3 (c) 2\/11 (d) -0.0438\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 - 38*g - 44. Let n be f(18). Suppose 2306 = 3*k + 5*q, 0 = -8*k + 6*k - 2*q + n. What are the prime factors of k?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20782 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1117664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzooozzooo. Give prob of sequence oz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a decade in months?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z + 298 = 22*z. Let s = z + -45. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c - 6. Find the common denominator of ((-54)\/8 - -2)\/c and (-11550)\/396 + -2 + 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37810867737 take away 0.19?\nAnswer: 37810867736.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o - 33. Let p(c) = -c + 8. Let t(a) = -9*p(a) - 2*x(a). Let f be t(6). Which is greater: -0.4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1987 + -1975. Calculate the least common multiple of 180 and g.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 54, 56, 58?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/((4\/2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 3426704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677.996l in millilitres?\nAnswer: 1677996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4 - 2 - 1 - 4. Let s(y) = -y + 7. Determine 7*g(u) + 3*s(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26\/(-91))\/((-46)\/(-805)). Let u(c) = -c**2 - 4*c + 8. Determine u(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -695 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/9 + 8*b**4\/9 - 76*b**3\/9 - 88*b**2\/9 + 74*b\/9 + 80\/9 = 0.\nAnswer: -8, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 15 = -3*u. Suppose -3*t = -l - 199, -u*t + 5*t - 121 = 3*l. Suppose r + 0*r = t. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s - 15. Let z be g(15). Suppose -4*l = -5*x + 16, 2*l + z = 4*x + l. Solve -2*q + x + 23 = -5*t, 10 = -2*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-489)\/2*3\/(60\/(-80))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, u: 4, y: 2}. What is prob of sequence yyf?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 54, 0.1, 0.428, -4, 1\/4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 185*h**3 + 2340*h**2 - 10800*h + 8640.\nAnswer: 5*(h - 12)**3*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 270 + -482. Let a = z + 42. Let y = 170.0000278 + a. What is y rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) - 1*sqrt(136)))*1)\/(-5*(sqrt(8) - (sqrt(8) + sqrt(56)\/sqrt(7)))) - (0 + (-1*(sqrt(1088) + sqrt(1088)*1))**2 + sqrt(1088) + 3).\nAnswer: -4355 - 39*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**3 - 9*f**2 - 503*f - 1005. Determine y(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*w = 96*w + 3. Let l(h) be the first derivative of 5 + w*h + 2\/3*h**3 + 0*h**2. What is the derivative of l(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 17 = 2*i + 15, 4*i - v + 1 = 0. Solve i = 456*o - 458*o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12558 and 165186?\nAnswer: 2147418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) -18 (c) -2\/13 (d) 3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*k - 4189 + 4259 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 2*m**3\/3 + 3*m**2 + 14*m - 9. Let x be z(-3). Solve 5*c + x = -6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/415 and (-26 + 38)*(-2)\/4.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -425 (b) -1 (c) -4 (d) -3\/8 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 118*t - 1176. Let q be i(10). Let u = -0.04 - -2.04. Which is the nearest to -0.1? (a) 6 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1003684 and 364976?\nAnswer: 4014736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 5*c. Let u(o) = 5 + 4*o + 19 - 2 + c. Calculate the remainder when 159 is divided by u(8).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(187) + (sqrt(187) + sqrt(187) + sqrt(187) + (3*sqrt(187) - sqrt(187)) + sqrt(187) - sqrt(187)))*4)\/(1*sqrt(44) + (1*sqrt(121))\/sqrt(11)).\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:00 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/(22\/(-132))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-4)*(56\/(-7))\/(-2)*(-8)\/4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - -9. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35\/105*-3*1*-1. Solve -w = o - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53230116, -53230117, -53230118, -53230119?\nAnswer: -53230120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 52. Let i be g(14). Find the third derivative of 36*h**5 + 37*h**6 - 3*h**2 + 8 - 23*h**5 - 15*h**5 + i*h**6 wrt h.\nAnswer: 4920*h**3 - 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*w - 77*w = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8728 = 3*c + 5*q, 4*c + 2*q = 6*q + 11680. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z + 234. Suppose g = -c + 3*g - 40, 5*g = 3*c + z. Let h = c - -50. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 - 6?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56, 70, 66, 38, -20?\n\"Answer: -b**3 - 3*b**2 + 30*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12320, 6698, 25716?\nAnswer: 44734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 119, 224, 379?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1200))\/(-5*(-2*sqrt(6) - sqrt(6) - sqrt(6))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 6) to base 5\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*q**3 + 2*q**2 - 3*q**2 + 224*q**3 + q**2.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -716 * -1277\nAnswer: 914332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 128 = 4*m - 3*n, 2*n = 4*m - 128. Suppose -31*v + m*v + 6 = 0. Let k(q) = -q**2 - 8*q + 4. Calculate k(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 514915 or 4119317\/8?\nAnswer: 514915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3237 is divided by 882.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 74*k**2 + 2*k + 7. Is a(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1230)\/165)\/((40\/100)\/((-44)\/20)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5824.843*17\nAnswer: 99022.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000816 to seven decimal places.\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**2\/3 + 190*u\/3 = 0.\nAnswer: 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(13) + 0)**2.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*l + 685532 - 2709232 = 0. List the prime factors of l.\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/50)\/(3\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43 + 2*l**5 + 299*l**3 + 77 - 92*l**3 + 13*l**2 - 24 wrt l.\nAnswer: 120*l**2 + 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 4*l**2 - l - 11. Determine h(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 78*f**2 + 7*f - 264. What is h(39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 1:03 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4dd140 - -4?\nAnswer: 4dd144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23232 = -4*f - 146*f - 42*f. Let x = 36 - -5. Calculate the remainder when f is divided by x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 25*c + 229. Let u be t(-9). Solve u*v + 4*p = 16, -5*p = -6*p + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -0.49.\nAnswer: -0.0392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -276, -551, -826, -1101, -1376?\n\"Answer: -275*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1216) + (sqrt(1216) - (sqrt(1216)*3 + 4)) + -4*(sqrt(1216) + 1) - (-5 + (3 + sqrt(1216) + sqrt(1216) + -2 + sqrt(1216) + sqrt(1216))*3)))**2.\nAnswer: 58752*sqrt(19) + 12652560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -113*x**4\/12 - 60*x. Let f(d) = d**2. What is f(w(v))?\nAnswer: 12769*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3299 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54667320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, 2\/13, -2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 88730 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 7*c - 9. Let t be (6 + -3 + c)\/2. Suppose 8 = q + 13. Put -4, t, -2, q in descending order.\nAnswer: t, -2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515153?\nAnswer: 515153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3257?\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -30, -57, -86?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -89811961 and -0.5.\nAnswer: 44905980.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/4)\/((-189)\/14)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*u**2 - 3)*(2*u**2 - u**2 + 0*u**2) + 2766*u**2 - 2766*u**2 - 3*u**4 - 5*u**3.\nAnswer: -u**4 - 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p. Let k = -19 - -13. Let g = 9 + k. Sort p, 0.5, g in ascending order.\nAnswer: p, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74621462.\nAnswer: 2, 997, 37423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14493*j + 289865. Give p(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 6*l**2 - l - 5. What is a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 + 158. What is the third smallest value in q, 5, -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75506 and 13754014.\nAnswer: 3974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 1. Give x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/27*6*(-99)\/(-12). Which is smaller: z or 128\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u - f + 21, 0 = -5*f - 15. Suppose u*q + 10 - 22 = 0. Solve 3*p + q = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 8*f. Suppose -3*t + 8 = -2*t. Let b be y(t). Suppose -a + 10 - 3 = b. What is the highest common divisor of 77 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*j + 3*t, -2*t + 6 = 2*j - 10. Let r be (1 - j) + 1*4. List the prime factors of 31 + (-4 - (1 - r)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3849107\/9531810 - -4\/35303. What is the common denominator of 77\/18 and r?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 - 1 + 50*a**2.\nAnswer: 50*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, 30, 115, 256, 459, 730, 1075?\n\"Answer: l**3 + 19*l**2 - 29*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(1900))**2.\nAnswer: -60*sqrt(19) + 1907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + 8\/3*r + 2\/3*r**2.\nAnswer: 2*(r - 2)*(r + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5996, -1, 125, -13, 6 in descending order.\nAnswer: 125, 6, -1, -13, -5996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177904, 177891, 177888, 177907, 177960?\nAnswer: 178059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/170 - 4\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m*m**6))\/m**(-2\/25)*(m**(2\/17))**(21\/5) assuming m is positive.\nAnswer: m**(-3156\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, and 1 k when three letters picked without replacement from {n: 1, k: 6, y: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-2)\/4 + 77\/(-14). Calculate the common denominator of (4 - 1)\/u*11*-4 and 11\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-64))\/(-11*465\/341)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-39 - -49) + 27\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**2 + c + 2. Let w(h) = h**2 + h - 1. Let g(v) = -p(v) - 3*w(v). Suppose 5*y = d - 2*d - 26, -32 = 2*d + 5*y. Let f = -3 - d. What is g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z + 11 = 2*q, q - z = 8. Let y(i) = 5*i. What is the remainder when 44 is divided by y(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165\/28 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9508508\/11 - -865552. Let d = -1140 + n. What is the common denominator of 36\/6 - 8\/(-240)*-55 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1787*k - 900*k = 890*k + 39 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**2 + 3438*m + 13297 wrt m?\nAnswer: 2*m + 3438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {k: 1, f: 1, t: 2, w: 1, y: 2, e: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 9 = -t, 4*t = -4*i + 23 + 13. Find the common denominator of 153\/12*(-3)\/t and 65\/10*(-10)\/(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 512024367 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((4*sqrt(24) + sqrt(24))*2)\/((sqrt(20)*-6)\/sqrt(10)))*1.\nAnswer: -10*sqrt(3)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/18*-54*(-8)\/(-120).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.35 + -307.65. Let d = k - -310.9979. Round d to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 28*y = -27*y - 2, -3*y = 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 92*m**2. Let d(a) = 7*a**2 - 4. Calculate d(g(t)).\nAnswer: 59248*t**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*l + 5015 + 6217 = 0 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 + 27*d. Let x(w) = w. Let s(f) = -2*f + 4. Let m be s(3). Let i(t) = m*a(t) + 54*x(t). Let l be i(-1). Solve 0*q = 2*q + l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26312\/17 + 1548. What is the smallest value in -2, 5, u, 17\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 4815\nAnswer: -4814.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1822, -1822, -1814, -1792, -1750?\n\"Answer: m**3 - 2*m**2 - m - 1820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 6. Let q be c(-3). Let p = -154 - -173. Suppose p*o = 17*o. Solve o = -5*a + q + 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4719987 or 4719996?\nAnswer: 4719996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(228)*-4 - (sqrt(228)*-2*2 + sqrt(228)))\/((sqrt(12) - sqrt(120)\/sqrt(250)) + ((sqrt(96)\/sqrt(2))\/sqrt(4) - sqrt(12))))**2.\nAnswer: 23275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3345732*r**2. Let n(v) = -7*v. What is j(n(w))?\nAnswer: 163940868*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1\/(2\/122). Suppose 7*r - u = 6*r. Let m = -458 + 482. Calculate the highest common divisor of r and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 i, 1 m, and 1 p when four letters picked without replacement from {i: 1, p: 3, m: 1, s: 1, f: 6, g: 6}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5, -2\/13, 110110 in decreasing order.\nAnswer: 110110, 5, 1\/4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfpiunpupiinz. Give prob of picking 1 i, 1 p, and 2 u.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50021*u**4 - u**3 - 31*u**2 + 2257*u + 60.\nAnswer: 600252*u**2 - 6*u - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -47*v**3 + 11*v**2 - 57*v - 5734. Let p(c) = 42*c**3 - 11*c**2 + 57*c + 5734. Let f(z) = 9*h(z) + 10*p(z). Differentiate f(m) wrt m.\nAnswer: -9*m**2 - 22*m + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfm when three letters picked without replacement from fmrdmf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12*l**2 + l + 149. Let j(c) = 5*c**2 - 75. Calculate -2*g(h) - 5*j(h).\nAnswer: -h**2 - 2*h + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11949037290 rounded to the nearest one million?\nAnswer: 11949000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1 + (-4 + 3 + 0)*(5 - 2 - 2))*(-t**3 + t**3 + 2*t**5).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0.1 (b) 85 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18074 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24938782 + -9338782. Round p to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + -71. Solve -c*r = -0*r + 16, -5*r = -2*t + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.210262ns to microseconds.\nAnswer: 0.007210262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = -10*q - 56448. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6574 and 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8 = u. Solve -5*y = 5*b + 10, 5 + 6 = 5*b - u*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/(-5)*30\/1 and 8\/(-10)*(12292\/(-168) + (-119)\/(-21))?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*y - 979*y + 501*y + 9*y**3.\nAnswer: 9*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*a**2 + 289*a**2 + 286*a**2 + 197*a**2 + 3*a**3 - 2*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b2 + b30?\nAnswer: 94b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -768249 at most -768040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0) + (-22)\/(-2). Let i = b - -2. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88691291 + -10051240.\nAnswer: -98742531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -51158 less than or equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -493409940 rounded to the nearest 1000000?\nAnswer: -493000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*u - 13240 + 46974 = 0. Put u, 1, -1 in decreasing order.\nAnswer: 1, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -543, -540, -537?\n\"Answer: 3*p - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(-3*sqrt(204))\/sqrt(12).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*i**2*j**2*y**3 - 2*i**2*j*y**2 - 2*i**2*j*y + 2340*i**2*y**3 + 774*i*j**3*y**3 + 2*i*y**3 wrt j.\nAnswer: 152*i**2*y**3 + 4644*i*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 3. Let d be (-112)\/84*30\/(-4)*11\/(-55). Put -3, d, z in decreasing order.\nAnswer: z, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 3\/(3 + (-2 - 2)). Let u = c - 6. Sort -4, 2, -1, u.\nAnswer: -4, -1, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 53 = 5*h, -88 = -5*h + 4*g - 27. Suppose -4*v - 3*t + 12 = -h, -4*t = -v - 9. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-403)\/3)\/((-12)\/(-4)). Let d = 45 + a. What is the nearest to -2 in 2\/13, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48648665?\nAnswer: 5, 13, 748441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 732819 and 918?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:00 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/11*11\/((-308)\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-15) - (-2)\/(-6). Let p be (k + 1)\/(-1 - -3). Which is smaller: -1\/4 or p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4671 divided by 1\nAnswer: 4671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228715, 457436, 686157, 914878, 1143599?\nAnswer: 1372320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -104\/189 (b) 0.0361 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 2) + 2 + (58 - 64). Sort g, 4, -8 in descending order.\nAnswer: 4, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 47 - 40 = -3*n, 67 = -2*u - n. Let p = 61 + u. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70306022*c**3 + 70304473*c**3 - 6*c**4 - 3 - 16641*c - 100104*c**2 + 3.\nAnswer: -c*(c + 129)**2*(6*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = 2*w + 2*h, -5*h = -w - 3*h + 131. Let l = 140 - w. Let o(c) = -3*c + 3. Let m(b) = -b**2 - 7*b + 7. Calculate l*o(k) - 2*m(k).\nAnswer: 2*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -1\/60*u**5 + 1\/420*u**7 + 17*u**2 + 1\/240*u**6 + 0 + 0*u**3 + 0*u + 0*u**4. Factor r(g).\nAnswer: g**2*(g - 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let o(m) be the third derivative of -m**5\/30 - 7*m**4\/24 - 7*m**3\/6 - m**2. Suppose 4*j - 1 - 3 = 0. Determine j*o(s) + 5*q(s).\nAnswer: -2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -17*p - 47. Let c be s(-7). Suppose -48*f + 52*f = c. What is the greatest common divisor of f and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64222107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -10) + (-6 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 353747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 109 = 37. Calculate the remainder when 82 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2095 - 1287 + 3903 - 1558 + 4311)*(-7*b**5 + 89 - 89).\nAnswer: -52248*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 - (-20)\/(-495). Let r be (-1 - 0) + (50\/(-5) - -11). Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6188*t**3 - 2*t**2 - 21*t - 9. Let l be k(-3). Round l to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7819\/1244 + -11\/311. What is the common denominator of -63\/5836 and q?\nAnswer: 5836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39\/11, 142\/5, -0.5 in ascending order.\nAnswer: -39\/11, -0.5, 142\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**4 - 6*m**4 + 4*m**4 - 3*m + 0*m**4 - 2 - 3*m**3 as h + g*m**2 + b*m**4 + l*m**3 + j*m and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - (-1 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 138. Give d(-13).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 27 = 4*b, -3*c + 4*b - 3 = -6*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (472\/12744)\/((-1 - -2)\/(-6)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18513547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1 - 5 - 6 + 3*m. Let c be z(-6). Let l = 34 + c. Solve l = 3*h - 0, 3*g + 4*h = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 302 (b) -1 (c) -0.0585\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208.1 + 60.9. Let w = p + -256.9. Let q = w + -12. Which is the second biggest value? (a) 0.2 (b) 1 (c) q (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 24 = -v. Suppose r = -v - 0. Let m(n) = n**3 - n**2 - n + 1. Let q(z) = 15*z**3 - 18*z**2 - 9*z + 12. Let s(l) = r*m(l) + q(l). Factor s(k).\nAnswer: 3*k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/15*(0 - 3). Let c(h) = -h + h**3 + h**o + h + 1. Let t(z) = -4*z**3 - 8*z**2 - 8*z - 7. Let p(q) = 3*c(q) + t(q). Suppose p(v) = 0. Calculate v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*p**3 - 3*g**2*p**2 + 2*g*p**3 - 18*p**3 - 4*p**2 with respect to g.\nAnswer: -2*g*p**3 - 6*g*p**2 + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 36586900.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) -0.99 (c) 25 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8135, -15914, -23687, -31454, -39215?\nAnswer: -46970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*q + 4, -s + 2*q + 8 = -q. Suppose 685 = d - 4*p, -d - s*d - 5*p = -2021. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/106876764 and -115\/2156706?\nAnswer: 961890876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*q + 487 + 1483 + 1362 = 380 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least 33\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54919217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -14*o**3\/3 - 3*o**2\/2 + 5*o + 28. Let a(q) = 5*q**2 + q - 2. What is -8*a(f) - 3*g(f)?\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5\/2 + 1797*p**4\/2 - 52376*p**3 + 462858*p**2 - 1418192*p + 1389600 = 0.\nAnswer: 2, 4, 50, 1737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107988.\nAnswer: 2, 7, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 9*g**2 + 10*g + 3. Let u be l(10). Suppose -3*c - 5*j = 2*c - 560, -u*j = -5*c + 536. List the prime factors of c.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-2)\/(-6)*3. Suppose 2*r = d + 3, 6*r - 1 = 3*r - y*d. Let g = -74\/7 - -356\/35. Is r not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/49)\/(z**(2\/13)*z*z))\/(z**(-26\/7)*z*z**(-11\/7)) assuming z is positive.\nAnswer: z**(1384\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -208429 (base 11) in base 5?\nAnswer: -41131030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 9*c**2 + 5*c + 7. Suppose 5*v + 3*o + 40 = 5*o, -v - 2*o + 4 = 0. Is d(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -3*v**7\/98 + 2*v**6\/35 + v**5\/28 - v**4\/7 + 2*v**3\/21 - 4*v. What is b in c(b) = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 0*d + 2*d - 4*d - d. Let z(f) be the third derivative of f**4\/12 - f**3\/2 - 2*f**2. Let v(r) = r - 1. Let t(k) = 3*v(k) - z(k). Give t(l(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47965.69 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -208bd + 2a?\nAnswer: -20893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 28 = -12. Calculate the remainder when q is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-60)\/27)*3\/2. What is the nearest to 2 in -1, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 58135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 16700517 = -3*x, -r + 4*r = -5*x - 27834185. Let h = x - -1936834. Round h to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + 7*l - 4. Let i be x(1). Which is greater: i or 5\/31?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3*s + 4 = -5, -s - 615 = -8*k - 592 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -65, 760 in descending order.\nAnswer: 760, 3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*s + 40, -3*s - 5*b + 1 = -s. Let x be 1\/(-1 - (2 + s\/2)). Suppose -5 + 17 = x*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 - 98. Suppose z = 3*d - i, 2*z + 1 + 1 = 0. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (322*r - 10*r + 197*r)*(1 - 1 + 2*r) to the form y*r**2 + g*r + z and give y.\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/20)\/((189\/15)\/21).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 113. Let k = -205\/4 + o. Let b be ((-10)\/7)\/((-74)\/259). What is the third smallest value in k, 2\/15, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22384 - 29175 - 62*h - 81*h - 155*h.\nAnswer: -298*h - 51559","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**5 + 476*v**4 + 13956*v**3 - 314044*v**2 + 915680*v + 1243200 = 0.\nAnswer: -37, -1, 5, 12, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}