diff --git "a/data/dm_maths/full_data_1/1739_11255.jsonl" "b/data/dm_maths/full_data_1/1739_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1739_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate ((-48)\/60)\/(25\/(-50)*(-2)\/10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23301333021 (base 4) in base 10?\nAnswer: 3088329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -0.4, -0.2, -2\/3, 5 in decreasing order.\nAnswer: 5, -0.06, -0.2, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuiuuuuuuuiiiuiiii. What is prob of picking 1 i and 3 u?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 355*w + 7891. What is r(26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 87*f**4 + 80*f**2 + f. Let x(a) = -a. Let d(z) = x(z) + y(z). Find the third derivative of d(l) wrt l.\nAnswer: 2088*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 4 = v - 3*w, -15 = -3*v + 2*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:02 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3240, 3211, 3194, 3195, 3220, 3275?\nAnswer: 3366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4 + 34*f - 8*f**2 + 5 - f**3 - 39*f + 3. Is c(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 53. Factor v*w**4 - 7*w - 8*w**4 + 10*w**3 + 0*w + 5 - 3*w.\nAnswer: -5*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 55959.57 centuries?\nAnswer: 559595.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 8 + 10 - 61*f.\nAnswer: -61*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194 - -320. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, g: 2}. Give prob of picking 2 v.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001332956 to 7 decimal places.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((u**(-9)\/u*u)\/u)\/u)\/u)**(3\/7))**(-1\/2))**(2\/41) assuming u is positive.\nAnswer: u**(36\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15*u = 27*u - 8013015. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000944297 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = l - 5*l. Let p = 123 + -88. Suppose 0 = -13*w + 6*w + p. Solve -w*v = l*m + 30, 0 = -7*m + 3*m + 3*v - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 4:53 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 46, 83, 144, 235?\n\"Answer: l**3 + 3*l**2 + 3*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/12*-1*(5238\/51 + (-302)\/7701).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**31)**(-7\/2)\/(q**(-15\/7))**(-21))**44 assuming q is positive.\nAnswer: q**(-6754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40199531 minus -10.547057?\nAnswer: 40199541.547057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 4*c + 6. Let d = -54 - -55. Let o(n) = n - 1. Let h(l) = d*s(l) + 4*o(l). Suppose 2*a + 3*t - t - 10 = 0, -4*t = -a - 10. Calculate h(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32064463 (base 7) to base 12\nAnswer: -ab324a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d**3 - 109*d**2 + 326*d - 4. Give s(5).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 8 (b) -97 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14895743 to the nearest integer?\nAnswer: 3860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 280 or 278?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 49. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 9. Calculate q(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 10*m**2 - 10*m - 9. Let w be p(11). Suppose 0*j - w*j + 96 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5702*b**5 - 847*b**4 + 2*b**3 - 402515658*b**2.\nAnswer: -342120*b**2 - 20328*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -3, 2\/11, -1, -50592?\nAnswer: -50592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 647*s - 649*s - 4 - 22*s**3 - 8 + 4 as o*s**3 + j*s**2 + w + c*s and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 + (-15)\/(-9))*(-7 - 338)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 50, 90, 148, 230, 342, 490?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -161\/45? (a) -2\/13 (b) 9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3143 is divided by 93?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110.934 - -111. Let w = n + 0.234. Let p = 103\/3 + -34. What is the nearest to p in w, 0.2, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1129285265\/3147 - -358845. Find the common denominator of -65\/12 and y.\nAnswer: 12588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + f**4 - 1 - 2*f - 9*f**3 + 9*f**3 to l*f**2 + v*f + o*f**4 + y + p*f**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 416611245 to the power of 1\/2, to the nearest integer?\nAnswer: 20411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365802, 731608, 1097420, 1463238, 1829062?\nAnswer: 2194892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(48672\/124488 + (-3)\/(57\/2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -14, -15, -4, 5 in decreasing order.\nAnswer: 5, 4, 0, -4, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 226.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 8*l**2 - 10*l - 23. Let j be w(-9). Let p = 111 - j. Sort -1, p, 2.\nAnswer: p, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 12:34 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -24c5cc?\nAnswer: 24c5d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 15, 18?\n\"Answer: 3*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -1\/10 (c) -0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72184 and 26769952?\nAnswer: 187389664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6395 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frxr when four letters picked without replacement from {r: 4, g: 7, e: 1, m: 3, x: 1, f: 4}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 162, 3 in decreasing order.\nAnswer: 162, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2755 + 3265. What is the least common multiple of 30 and g?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830033 is divided by 205?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x**2. Let r(m) = 24*m. Calculate p(r(h)).\nAnswer: -4608*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*b + 112 = 562*b - 19*b - 650 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 7*q - 6288. Let c = -20993\/10 - q. Calculate the common denominator of 9\/10*41\/3 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2700573 and 963.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2009, 4018, 6027, 8036?\nAnswer: 10045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h - 2. Suppose -2*s - 8 = -18*u + 20*u, -s - 4*u = 19. Let t(r) = -2*r - 3*r + 4*r. Give s*p(l) + 8*t(l).\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 + 27*x**2 + x + 5 - 7 - 35*x**2. Calculate w(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, b: 4, j: 4}. Give prob of sequence iii.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 744 = -10*p. What is the remainder when p is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**2 + 1451390*k + 50429795 with respect to k.\nAnswer: -6*k + 1451390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 54. Let o(f) = f**3 + 2*f**2 + 9*f. Let h be o(a). Suppose n - 5*n = 4*v - 712, -4*v - n = -h. List the prime factors of v.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:13 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 1 (c) -5 (d) 2985 (e) 4268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let l(z) = 0 - 1 - 8*z + 2*z. Let c(a) = a**2 - 6*a + 8. Let b be c(5). Suppose 0*m - b*m + 4 = -5*n, -12 = -4*m. Give n*l(k) + 5*w(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*137730457.\nAnswer: -13773045.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-14)*(-62)\/93.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29568\/19712*(-2)\/(-13)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 0 + -6 + 17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 4336776.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/4505 (b) -113 (c) -0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 38.49. Let b = -6.6 + 9. Let d = w + b. What is d rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -10*o + 50. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.2 + 174.2. Let v = f - 141. What is the third biggest value in v, 2, 0.95?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -141 or -143?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12901 is divided by 1562?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and 14225371?\nAnswer: 14225380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 3*g. Suppose -2*s = -3*o + 28, g*o = s - 6*s + 5. What is the least common multiple of 7 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**8*z)\/z*z\/z**8)**25\/((z\/z**(-2\/9))\/(z*z**(-3\/4))*z**(-1)*z**(2\/7)) assuming z is positive.\nAnswer: z**(12535\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2112330 (base 4) to base 10\nAnswer: -9660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/9 - (-22)\/6. Suppose 2*y = q*y. Solve y = -0*o + 5*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 45*r**2 + 18*r + 86. List the prime factors of y(-6).\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*g - 3 + 8, 0 = -3*c - 5*g + 27 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.7 - 6. Let g = -127 - -127.3. Which is the third smallest value? (a) g (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/(108*2)*-12*(-17)\/(-51)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 21*o - 1. Let j = -5 - -11. Suppose 3*t - 9 = 3*p, 4*p - j = -t + 2. What are the prime factors of y(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132906 - 217604 = -10*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20077, -18000, -15919, -13834, -11745, -9652?\n\"Answer: 2*g**2 + 2071*g - 22150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*b*i**3*t**2 - 45*b*i**3 + 2*b*i*t**2 + 23*b*i*t + 3*i*t + 2 wrt i.\nAnswer: -264*b*i*t**2 - 270*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/2521? (a) 5 (b) -3\/20 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 291 or 2036\/7?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 4*b. Let y(g) = -2*g**3 - 3*g. Let q(n) = -4*a(n) - 5*y(n). What is the second derivative of q(o) wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(7\/66)*282\/846?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 0, -53 = -5*p + 2*l - 52. Sort p, 3, 4, 10.\nAnswer: p, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 134 and 335.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-533 - -531)*(-14)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -175*z - 6219. Determine b(-35).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x*x**2\/x))*x)**(-23)\/(x**(-2\/19))**(2\/65))**(3\/11) assuming x is positive.\nAnswer: x**(-170418\/13585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51 - -3?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442920.\nAnswer: 2, 3, 5, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from llllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 6*p**2 - 6*p + 7. Let y be g(5). Let a be y\/(-1) + (-14)\/(-10). What is the nearest to -0.3 in a, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 44*d**2. Let f(z) be the second derivative of -3*z**4\/4 + 17*z. Calculate -24*f(k) - 5*r(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**6\/780 + 5*k**5\/39 - 49*k**4\/156 - 1313*k**2. Find r, given that y(r) = 0.\nAnswer: 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4365\/35 - 10) + (-4)\/(-14). What is the greatest common divisor of p and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 9) to base 3\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-8*k + 3*k + 3*k) + 2 - 3 - 42*k + 4 in the form h + a*k and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -37. Let d = r - -51. Calculate the remainder when 38 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 10. Let i(l) = -4*l - 2. Calculate i(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26765, -26768, -26771, -26774, -26777?\n\"Answer: -3*z - 26762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, a: 4, p: 1, i: 1, w: 4}. Give prob of sequence ipas.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 921. Let l = r + 8469\/10. What is the common denominator of (-6)\/21 - 194\/(-28) and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/6 - 19*x**3\/6 - 9*x**2\/2 + 9*x. Calculate the lowest common multiple of 24 and a(-8).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 519, 0, -1, 7, 19, 4, 1 in descending order.\nAnswer: 519, 19, 7, 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*m + 8*m - 19064, 19072 = 4*x + 3*m. What are the prime factors of x?\nAnswer: 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2652 + -2646. Let o(z) = 19*z**2 - 6. Let w(v) = 702*v**2 - 221. Give h*w(x) - 221*o(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -409 from -1981554.2.\nAnswer: -1981145.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + l = 4, -16 = -4*r - 3*l + 1. Suppose r*p - 19 = -o, 0 = 5*p - 3*o + o - 7. Suppose 0 = p*x + x. Which is greater: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*f*p**3*r**2*t - 51500*f*p**3*t + f*p**2*r*t + 290*f*r**2*t + 9495*f + 2*p*r**2*t wrt p?\nAnswer: -552*f*r**2*t - 309000*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/39031 and 139\/6.\nAnswer: 234186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -2\/9, 2\/89, 5\/8 in descending order.\nAnswer: 5\/8, 2\/89, -2\/9, -72","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 146*u - 3675. What is t(25)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**3 - 22*m**2 - 176*m**2 - 125*m**2 + 14*m**2.\nAnswer: -22*m**3 - 309*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 7. Let k be c(7). Suppose n + 4 = -k*n. Let y = n - -11. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 10:18 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a + 78. Let t be f(10). What is the thousands digit of 2008\/(t*2\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, -0.35, -0.5?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t + 3. Calculate the remainder when c(-4) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5, 0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let n(p) = -2*p**3 - 128*p**2 + p + 78. Let u be n(-64). Let y(l) be the second derivative of u*l + 0 + 0*l**2 - 1\/3*l**3. Calculate s(y(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g**2 - 6 - 1 + 0 + g**3 + g. Let b be j(9). Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 4:05 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0*n - 2*n - 19 = 0, 0 = 3*f - 5*n - 50 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.2 - -15. What is the biggest value in 4, c, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6258*q - 6501*q**2 + 12509*q - 6251*q to the form p*q + a + f*q**2 and give f.\nAnswer: -6501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 3*l + 10, -4*g + 1 = 5*l - 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 1769*r + 49 - 1806*r)*(r**3 - 3 + 3).\nAnswer: -37*r**4 + 63*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:10 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*-1*-1*-3*4*sqrt(1573))**2 + 0.\nAnswer: 528*sqrt(13) + 906049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -h + 7*h. Suppose 3*v + h = p, -v = -2*p - 0*p + 16. Suppose p*f - 24 - 24 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4887*r - 17. Let b be y(21). Suppose -d = k + 2*d - 34215, -3*k - 2*d + b = 0. Round k to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose -s*t + 3 = -t. Solve 0 = 4*n - t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Let i(k) = -39*k + 200. Let r be i(5). Solve r*n + 4*j = 13, n - j - j - 11 = d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Let o(m) = -2*m**2 - 4*m + 4. Let n(i) = i**2 + 3*i - 3. Let t = 494 - 491. What is t*o(q) + v*n(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1141 + 3108?\nAnswer: 4249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 13221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1149460 and 800?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637416191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**3 - 6*v**2 + 12*v - 10. Let j be y(4). Let w = j + 425. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 - 2*u + 4. Calculate y(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 2471 in decreasing order.\nAnswer: 2471, 13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.26 (b) -24.14 (c) -51 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 434529168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14578 + 14585 - (-13 + 0 + -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.087066*-0.3\nAnswer: 0.0261198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - (-8)\/1)*(-907)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12285\/(-70))\/(-27))\/(2\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 8 + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2454 and 2424.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**3\/3 - u**2\/2 - 3*u + 3. What is the units digit of g(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-25)\/((-400)\/56))\/(-7))\/((-3)\/(-5))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 13599*o - 1 = -13596*o, -2*o - 2 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 362*a + 728. Let z be i(-2). Sort 3, z, 2, -4 in ascending order.\nAnswer: -4, 2, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 10, 0.\nAnswer: -7, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/24)\/((-25)\/(-10))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -10*n + 11. Let b(t) = -2*t + 2. Let x(k) = 11*b(k) - 2*j(k). Let o(h) = -10*h + h - 5*h. Determine o(x(p)).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eqeqeeeeeeeqee.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 8:37 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 371 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 3\/4, -2\/5, -1\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 13*v + 4. What is the tens digit of y(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -278332068?\nAnswer: -278332063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3332 divided by 119.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/5487 and -127\/26550?\nAnswer: 823050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/18)\/1*12\/81?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(104)\/sqrt(4)*-5)\/(sqrt(2) + sqrt(18)\/(sqrt(9)*-2)).\nAnswer: -60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**6\/6 - 21*c**4\/4 + 319*c**3 - 1363*c. Find the second derivative of d(u) wrt u.\nAnswer: -60*u**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = -0*t + 2*p, 3*t - 2*p + 6 = 0. What are the prime factors of (t - -56) + (-9)\/(-3) + -3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k + 5*k - 4*k)*(3 - 2 + 1) - 1 - 2*k + 1.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-6*(sqrt(1900) + -5*(sqrt(1900) + 0) + sqrt(1900)))**2 - (3 + -1 + sqrt(1900) + 4)**2)*1.\nAnswer: -120*sqrt(19) + 613662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.98 - 38.48. Round n to the nearest integer.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(-1\/4)*p*p)\/p*p\/(p*p*p**9))\/(p\/(p*p**(-6)*p)*p**(-1\/2)\/p))\/(p**8\/(p\/(p\/(p*(p\/p**1)\/p)))*(p**2*p)**(-3\/2)) assuming p is positive.\nAnswer: p**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**3 - 2 - 222*i**3 + 50*i**3 + 0 + 4 - 8*i**2 + 7*i**2.\nAnswer: -180*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -771659273 or -771659272?\nAnswer: -771659273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y - 44*y - y - 16 + 16*y + 4*y. Give p(3).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c (base 15) to base 2.\nAnswer: -1110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*u**2 + 267*b*u - u**2 + 2*u + 2 wrt u?\nAnswer: -6*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/22*(-4)\/36?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*t, 2*w - 4*w - 28 = -5*t. Solve -19*q**3 + 11*q**3 + 4 + 4*q**5 - 6*q**2 + t*q - 2*q**2 + 4*q**4 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382869.\nAnswer: 149, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 29 = 10*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 2717*q + 24*q**2 + 364*q - 27*q**2 + 18 to the form b*q + m + x*q**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 794, 3031, 7414, 14663, 25498, 40639?\nAnswer: 60806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54500 is divided by 26923.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(0 + 0 - -2). Let l = d - 2. Let o(n) = n**3 - 5*n**2 + n - 4. Let w be o(5). Which is the nearest to l? (a) -4 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*y = 12, 7*g + 40524*y - 40519*y = 92 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-714)\/(-85))\/(12\/2720)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16679552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = -7\/11078646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*i + 186*i - 1 + 1.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 10089 = -4*q + 10055, 4*q - 194 = -5*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -183 + 73?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**12*m*m\/((m\/((m**(-7)*m)\/m))\/m))\/(m**(-4\/3))**19 assuming m is positive.\nAnswer: m**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - r - 89 - 19 = 0, -3*t + 2*r + 160 = 0. Let n = t + -3. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 176 + (-253 - -165).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8*w = 3*w - 75, -81 = -m + 3*w. Suppose m = 4*i - 78. Suppose n - 118 = 3*v, 4*n = v + 463 + i. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/5))\/(k**(-5\/3)*k))\/((k\/((k*(k\/(k\/k**(2\/7)))\/k)\/k))\/k**(-10\/7)) assuming k is positive.\nAnswer: k**(-92\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2460.8682us?\nAnswer: 0.0000006835745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(272) + -5 + (4 + sqrt(425) + -1)**2.\nAnswer: 34*sqrt(17) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*f + 18312 = 0, 4*g - 2919 = 5*f + 15397. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - k)*(2 - 2 + k)*(-2*k + 0*k + 4*k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, 273, 912, 1897, 3228, 4905, 6928?\n\"Answer: 173*a**2 - 226*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - 2*a - 267. Let r(f) = -7*f**2 - 5*f - 532. Let j(b) = -5*p(b) + 2*r(b). What is the first derivative of j(x) wrt x?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 16*t + 576. Which is smaller: t or -30?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 85334 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z - 26*z - 20 = 23*z, 5*c = -5*z + 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/5, 1, 18773291?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(68)\/sqrt(4)) + 4 + (-1*sqrt(85)\/sqrt(5))**2 + sqrt(17).\nAnswer: sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601789 to the power of 1\/2, to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2342 + 713 + 51 - 115)*(-o**3 + 3*o**3 - 3*o**3) in the form x + f*o + u*o**3 + m*o**2 and give u.\nAnswer: -2991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 236 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12879064 divided by -22?\nAnswer: -585412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 98 = -2*w, 173 - 47 = 3*w - 4*r. Which is the closest to -0.1? (a) 1 (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-3*sqrt(3584))\/(sqrt(512)*-6*5) + 4)**2.\nAnswer: 4*sqrt(7)\/5 + 1607\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.021 - -0.249. Let w = q - -0.03. Let m = -0.497 - -3.497. Sort w, m, 1\/8 in descending order.\nAnswer: m, w, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - (-1 - -4) - 8\/4. Suppose -4*t - 12 = -y*j, -2*j + 5*t - t = -4. Suppose m = 2*u - 315, -u = -j*m + 3*m - 180. Is u a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28017978 to the nearest integer?\nAnswer: 5293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/6)\/1)\/((-15)\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -146 + 5*c**2 + 439 - 147 - 144 + 0*c**2 + c. Let v(h) = 6*h**2 + h + 2. What is -2*v(i) + 3*y(i)?\nAnswer: 3*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 11128.\nAnswer: 11128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 84281, 81695, 79123, 76571, 74045, 71551?\n\"Answer: f**3 + f**2 - 2596*f + 86875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (sqrt(35) - (sqrt(35) + (sqrt(3500) + 2*sqrt(3500) - sqrt(35)) + sqrt(35) - sqrt(35)))\/(4*sqrt(28)\/sqrt(4)).\nAnswer: -29*sqrt(5)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(13))**2 + -2 + (sqrt(13) - (4 + -3 + sqrt(13) - sqrt(13)))**2 + (sqrt(91)\/sqrt(7) + -5 - (sqrt(325)*-1)**2).\nAnswer: -289 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346190219.\nAnswer: 346190219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 18*s**2 + 20*s - 22. Let h be i(19). Let v(j) = -j**3 + 2*j**2 + 15*j + 14. Let c be v(h). Solve 0 = -4*b - 6 + c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -14*b + 6. Let r(z) = -27*z + 11. Let i(a) = 11*f(a) - 6*r(a). Let q(o) = -o**2. Calculate q(i(h)).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 768*v**3 - 5*v**2 - 10*v + 5. Let o(r) = -465791*r**3 + 3032*r**2 + 6064*r - 3032. Calculate 3032*h(g) + 5*o(g).\nAnswer: -379*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + p + 6*p + 5*p - 4*p + 0*p + (0*p + p + 0*p)*(1 - 2 + 2) - p - 3*p + p + 4 - 4 + p + (0 + 1 - 2)*(2 - p - 2) to the form o + n*p and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1371975477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/5, 528, -2, 36292 in descending order.\nAnswer: 36292, 528, 0.3, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/(-3))*4 + -4755 + 4784.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -521 by 1285.\nAnswer: -521\/1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q**2 - 2*q + 11. Let o(k) = 6*k**2 + k - 10. Let h(x) = -6*o(x) - 5*t(x). Let m be h(5). Solve -3*r + 2*g + 3*g - 12 = m, -g - 4 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*d - 7. What is the units digit of (-3)\/(-1) + d + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = -9*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*k - 8, 6 + 6 = 3*t - 2*k. Suppose -t*r - f - f = -20, -r + 19 = -3*f. Let p(y) = -y + 13. Is p(r) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4 = -2*w + 16, 2*h = 2*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 197600 and 15200.\nAnswer: 197600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258244390 divided by -6?\nAnswer: -376374065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2*-1)\/((-35860)\/(-2445))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507684, 507496, 507308?\nAnswer: 507120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 33*i**3 - 33*i**3 - 38*i**3 + i**2 - i**4 + 15*i - 14*i to the form j + t*i + m*i**2 + z*i**3 + d*i**4 and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*k - 66 = 0, 4*p = -5*k - 2 - 18. Let n be (-1 - -1) + p\/(-2). Put -4, n, -2 in decreasing order.\nAnswer: n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 8*o - 13*o + 37 = -4*o, -3*o - 44 = -8*k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.1. Let s = -7 + 12. Let o = 6.8 - 7. Which is the closest to y? (a) -1 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q\/(q**12*q))\/q)\/q**(-12))\/((q**0\/q)\/q*q**(-2\/87)\/q) assuming q is positive.\nAnswer: q**(350\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 23. Give q(-10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/8 - 532*k**2 + 2094453*k\/8 + 6360075\/4 = 0 for k.\nAnswer: -6, 575, 3687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 + 11 = 0. Suppose -5*b + w*b = -12. Suppose 0 = b*y + 5*t + 16, -5*t - 4 - 8 = 3*y. Put 3, 5, y in ascending order.\nAnswer: y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204011161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/162)\/(380\/1140)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45, -166, -373, -666, -1045, -1510?\n\"Answer: -43*k**2 + 8*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbqbbbbbbqbqbbbbb. Give prob of picking 2 q.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1826445, -1826443, -1826441?\n\"Answer: 2*g - 1826447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-17) - (-18768)\/(-2312).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - n + n)*(2*n**2 - n**2 + 2*n**2).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6*14\/504*6*67*-1\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 6. Let o be z(1). Suppose -2*u + o*g = -20, 0 = 3*u + g - 7 - 6. Suppose -7 = u*q - 32. Solve -q*w + 3*l + 0*l + 9 = 0, 3*l = 3*w - 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -26.45 and 54604965.5.\nAnswer: 54604939.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -166134053.\nAnswer: -166134052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u + 5. Let h be n(2). Suppose -10 = h*y - 55. What is the third derivative of 23*p**3 - 8*p**2 - y*p**2 - 25*p**2 + 30*p**2 wrt p?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1003.3 times -16\nAnswer: 16052.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4042 - 2?\nAnswer: 4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/8 + 25*r\/8 = 0. Calculate r.\nAnswer: -5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9383029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6920596.\nAnswer: 2, 1730149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 1543 = 2*v + 1539, 0 = -3*v - 4*o + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24*(-2 + -5 + (-85)\/(-10)). Let a(n) = 2*n - 9 + k - 12 - 9. Give a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(2 + (-9)\/5). Let d = -0.293 + 0.193. Which is the closest to -1? (a) x (b) -1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 = 2*r + 222 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 9) in base 8?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-76)\/8)\/(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -605*z**4 - 46970*z**3 + 17140*z**2 - 1560*z = 0.\nAnswer: -78, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -39006.\nAnswer: -2\/19503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 20*p**2 + 19*p - 20. Calculate w(-21).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126452 and 19796?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6903 to 1 decimal place.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 7054 = 37654. Suppose -3071*z + 55 = -m*z. Suppose 12 = -0*y + 3*y. Solve 0 = 3*r - 2*r + 5*v - 10, -z*v + 35 = -y*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 71 + 5*s**3 + 170 - 4*s**3.\nAnswer: -s**3 + 241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m = 3*m + 69. Suppose w + 3 = m*k - 9, -5*k + 12 = w. Solve -k*c = c - 2*g - 4, -c = 3*g + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12.095 in -8, 4, -0.1, 3.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 5. Let k be c(-5). Suppose -k = 2*q - 19. Solve 7 = -3*b - 2*m, -4*m = 2*b - 5*m + q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -88, -86, -84, -82?\n\"Answer: 2*n - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffssffyyfyffyyftsf. What is prob of picking 1 s and 2 y?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25277813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - -7 - 5 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514065?\nAnswer: 5, 7, 181, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q + 6. Let i(m) = 1. Let d(n) = -2*i(n) + o(n). Differentiate d(p) wrt p.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*h**2 - 522*h**2 - 3237 + 3237 to o*h + g + i*h**2 and give i.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3968488 and 21733.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*m**2 + 225*m + 1291*m**2 - 221*m to the form y*m + f*m**2 + q and give f.\nAnswer: 1393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(891))**2.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from hhhgsggghssgsghgg.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29)\/4 - (-3)\/12. Let d = -7 - a. Suppose d = 2*w + 2*w - 48. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 10*n**2 + 21*n + 8. Let u be ((-45)\/6)\/(((-7)\/2)\/(-7)). Let m be x(u). Is -2 + (-5)\/(20\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o + 4081 = -64*o + 39*o. What is the remainder when o is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -x + 4. Let i = -1 + 2. Let v be (i\/3)\/(x\/(-33)). Round v to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10370 divided by 10370.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/80 - l**4\/16 + l**3\/8 + 5*l**2. Factor n(k).\nAnswer: 3*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56427 divided by -3\nAnswer: -18809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 886 - -160563?\nAnswer: 161560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -1 - (-18 + (42 - 28))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 8*x**2 + 5. Let r(j) = j**3 + 9*j**2 - 5. Determine 5*k(f) + 4*r(f).\nAnswer: -f**3 - 4*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5754 and 166068?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udurdrrvuurdvrruuuv. Give prob of sequence vddu.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5331*v + 411 - 411 - 15956*v.\nAnswer: -21287*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 37789?\nAnswer: -37789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -190*t + 1792. Determine d(9).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1214 - -265. Let n = k - 1479. Let j = 5 + -4.6. What is the biggest value in n, 0.8, j?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -0.4, 12, 0.4, 1\/2, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 45*z**3 - 81*z**2 - 3*z. Let k(f) = -89*f**3 + 163*f**2 + 5*f. Let o(i) = 3*k(i) + 5*x(i). What is the third derivative of o(p) wrt p?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*h - 4*h + 467, 0 = -h - 3*c + 469. Let r = h + -288. Calculate the greatest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*q - 11, q + 16 = -3*c - 59. Let z(i) = i**2 - 6. Let p be z(3). What is the units digit of (-3)\/p*(c - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 6:32 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/474453 and 34\/139545?\nAnswer: 2372265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 191*k + 40*k - 195*k - 4*k - 86*k.\nAnswer: -436*k + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/2 + -4)*188. Let i be (-1 - (-364)\/(-20))\/((-4)\/20). Is i != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*s + 1, 2*s - 2 = -2*s - 2*m. Is 377 - s\/(3 + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 17*p - 52. What is the second derivative of -39*q - p*q**2 + 35*q**2 + 16*q**2 + 5*q**2 wrt q?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 10. Let a be d(6). Suppose b = -2, -5*s + a*b + 0*b = -29. Suppose -5*j + 560 = -w, s*w + 469 = 4*j - 0*w. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 24734*m**2\/5 - 4*m\/5 = 0.\nAnswer: 0, 2\/12367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.095 and -8931?\nAnswer: 8930.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171299?\nAnswer: 171299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(224)*3*-5)\/(((sqrt(288) - (sqrt(288) + (-3*sqrt(288) - sqrt(288)) + sqrt(288)) - sqrt(288))*5)\/sqrt(9)))**2.\nAnswer: 1575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 8) in base 9?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-30444821)\/(-403) + 12\/(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -30. Suppose -90*i + 153 = -927. Suppose 15*s = k*s - i. What is the remainder when s is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -g + 40, -5*z = 4*g - 32 - 3. Suppose g*p - 896 = 13*p. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzww when four letters picked without replacement from {w: 5, z: 6, l: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55983 or -55985?\nAnswer: -55983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-102)\/(-9))\/(8\/12). Let t be 2 + -2*(-113)\/(-12). Let k = g + t. Put 0.4, k, 2 in ascending order.\nAnswer: k, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 3*s**2 + 2*s - 2. Let f be z(-4). Let r(k) = k**3 - 4*k**2 - 7*k - 2. Does 14 divide r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002816799426 rounded to 7 dps?\nAnswer: -0.0002817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 344 + -340. Solve 0 = -2*f + v*c - 6, 0 = f + f - 2*c - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 2. Let g(b) be the second derivative of -13*b**3\/6 + 9*b**2\/2 + 2*b. Let s(m) = -2*g(m) + 9*l(m). Let z(d) = d**2. What is s(z(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.062*-0.04.\nAnswer: -0.00248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*a**3 - 2580*a**2?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + -6 + 4 + 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -3*s**2 + 1\/6*s**3 + 0*s + 0 - 2\/15*s**5 + 0*s**4 - 1\/60*s**6. Let a(g) = -g**2. Calculate 6*a(r) - h(r).\nAnswer: 2*r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5 - 26 = 0. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 1 - 13*m + 4*m + 6*m. Let y be o(4). Solve -f + 5*f - 3*r + 17 = 0, y*r = -2*f + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 28 - 2*m**4 + 0*m - 29 as h*m**3 + l*m + r*m**4 + w*m**2 + s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97124.389 rounded to the nearest 100?\nAnswer: 97100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 74911*-12\nAnswer: -898932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/10)\/((-10)\/25). Suppose -n*w - 7 = -5*i, 0*i - 2*i = -4*w + 2. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2753538612 divided by 4\nAnswer: 688384653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 44 + 832 = 0. Let q = x - -221. Let u(l) = -l**3 - 8*l**2 + l + 8. Let f be u(-8). Solve 2*k + 2 + q = f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07092 and 1767919324.\nAnswer: 1767919324.07092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.316 + 1.2247. Let y = j + -0.992. What is y rounded to 3 decimal places?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302911 divided by 7.\nAnswer: 43273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 45?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 333.191 - 0.191. Let h = q + -338. Which is the second smallest value? (a) -2\/37 (b) h (c) -2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83770 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -862 and -24847.\nAnswer: -25709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let z be -2*(1 - (-3 - -5)). Suppose 2*x = z*y - 42, -4*y - 117 = -9*y - x. Let t(m) = -y + 23 + 5*m. Calculate v(t(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6ab (base 12) to base 9\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.912 + 8.912. Let o = 0.3 - -0.2. What is the second smallest value in 1, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/x**(2\/5))**(11\/3) assuming x is positive.\nAnswer: x**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 97 = -3*n. Let f(z) = -2*z - 6. Give f(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344800 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (407\/110 - 7).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.4058244 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.05, -16076, -2\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -37. What is the remainder when m is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 97.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260\/(-100)*(15\/(-3))\/((-5)\/(-5)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857329 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5360 and 42970852?\nAnswer: 859417040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k + k**2 - 2*k - 10*k + k**3 - 2*k**4 + 1 as q*k**3 + d*k + p*k**2 + b*k**4 + l and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than or equal to -0.5938725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 1. Let b(a) = -7*a**3 + 49*a**2 - 49. Let v be 20\/12 + (-6)\/(-18). Determine v*b(h) - 98*c(h).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 9*d**2 + 11*d - 11. Let u = 10 - 2. Let g = 5 + 0. Calculate the remainder when f(u) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -81200281993?\nAnswer: 81200281992.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m**2 + 7*m + 6. Let r be h(-4). Solve 2*b = b - 3*j + 2, r = 5*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 28949*w - 984280. What is s(34)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**3\/3 - 15*v**2\/2 - 8*v. Let l be y(9). What is the greatest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25a60a (base 16) in base 10?\nAnswer: 2467338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by -6?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -89723243 and -234.3419.\nAnswer: -89723477.3419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3.7. Let x be (-26)\/42*-1 + 4\/(-14). What is the nearest to x in -0.4, u, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/4 - 315*c**4 + 508605*c**3\/4 - 35130275*c**2\/2 + 761969160*c + 1595221128 = 0. Calculate c.\nAnswer: -2, 108, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 131 = 5*s, t = -s + 6 + 13. Let i = s + -30. Let w be -1*6*i\/21 - -3. Solve 14 = -2*p + 5*c, w*p + 0*c = -2*c - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542.6355 rounded to one decimal place?\nAnswer: 542.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9953991.7 rounded to the nearest 1000?\nAnswer: 9954000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 4. Let d be p(-9). Let x = -26 - d. Suppose g = x*g + 15. Sort -19, g, 1\/7.\nAnswer: -19, g, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 864?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236 is divided by 305.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*(-2*2*sqrt(363) + 0))**2 - (sqrt(363) + 3 + -2 - (0 + sqrt(363))*2)**2).\nAnswer: 66*sqrt(3) + 155724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -54*j - 40. Suppose n - 35 = 4*v + v, -n - 28 = 4*v. What are the prime factors of m(v)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 12. Suppose m*u = 0, 115 = 5*a - 4*u + 5*u. Solve 0 = -4*r - a + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22875 + 39509. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*u, -u + 4*u = -3*k + 21. Suppose 0 = -k*t + t + 76. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 474 - 471. Let g(h) = -8*h - 2. Let z be (-6)\/(-4) - 2\/(-4). Let d(x) = 8*x + 3. Let o(n) = p*g(n) + z*d(n). Give o(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*o + 1478 = 1322. Put 1, 9, o in decreasing order.\nAnswer: 9, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k**(2\/3))**(-10\/13)\/(k**(2\/5)\/k**(-3\/5)*k**(-4\/9)\/(k*(k\/(k**(-2\/15)*k*k)*k)\/k)) assuming k is positive.\nAnswer: k**(-1297\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 904 less than -9?\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 35 + 15. Differentiate q*u**3 - 25*u**3 - 36*u**3 - 41*u**3 - 21 wrt u.\nAnswer: -156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 18*i - 15*i + 334*i**2 - 332*i**2 + 3*i**3 as k*i**2 + l*i + n*i**3 + a and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 0*z + 48 = -5*y, 334*y - 337*y - 7*z = -4 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133473487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 23*r**2 - 4*r + 10. Let l be b(2). Suppose 99*y = l*y + 6925. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74416 (base 11) to base 2\nAnswer: -11010011100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/312 + (-2883)\/234 and 0 - (4 - 118\/(-30)) - -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, t: 3, z: 10, n: 3}. Give prob of sequence nzz.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5)*c)\/c**9)**(3\/2) assuming c is positive.\nAnswer: c**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 0.01, -7 in descending order.\nAnswer: 9, 2, 0.01, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -670 + -372?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d. Suppose -5*j = -p + 66, 2*p + d*j = -5*j + 117. Let f = 88 - p. What is the smallest common multiple of f and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/44)\/((-9)\/((-9)\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 = -20, 5*w - 2081 = 4*t. What is the remainder when w is divided by 72?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*12\/(-8) - -1. Suppose -107 = -n*p - 5*t, -35 = -4*p - 2*t + 63. What is the remainder when 45 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y = -4*x + 25, 0 = 2*x + 2*y. Find the third derivative of 12*s**5 + 6*s**5 - 9*s**5 + 10*s**x + 34*s**2 wrt s.\nAnswer: 1140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -36.22.\nAnswer: 144.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i\/(i\/i**14))\/(i\/(i**(-1\/3)\/i))**12 assuming i is positive.\nAnswer: i**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2209084 + 2454120 - 1927628 - 2*g - 2617408. Let c be z(0). What is c rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -43404072 + 273550263. Suppose 0 = -32*q + p + 10908201. What is q rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 2*o - 2*o)*((-1 + 3 - 3)*(-1 - 2 + 1) + 2 - 3 - 1 - 137 + 200 + 164) + (-3 + 3 + 2)*(o + 0*o + o).\nAnswer: 458*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5676 = h - 7830. Suppose f = -5*f + h. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:17 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -670*o**3 + 341*o**3 - 138*o + 328*o**3.\nAnswer: -o**3 - 138*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 20*c - 3. Let b(t) = 140*t - 20. Calculate -40*a(h) + 6*b(h).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/g**(-1\/37))**(-40) assuming g is positive.\nAnswer: g**(11800\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 18*k**2 - 2*k - 15. Let w be f(-9). Let a be 2\/w - (-2)\/6. Solve a = -x - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c + 4. Let f be j(-4). Let w = f - -12. Suppose 4*p + 5*q = 79 + w, 0 = 2*p + q - 51. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 5, -2 in descending order.\nAnswer: 5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 547 divided by -37.\nAnswer: -547\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 206 + -202. Suppose -19*o + 22*o - n*s = 384, o - 2*s = 128. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10634648 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8618482*p**3 - 10806*p + 60 wrt p.\nAnswer: -51710892*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -18*q**5 - 1660*q**4 - 48518*q**3 - 447092*q**2 - 486856*q - 86640 = 0.\nAnswer: -38, -15, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-25)*(-1305)\/(-348)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/(11\/(-132)). Suppose i = 28 + y. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28014, -56052, -84090?\n\"Answer: -28038*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + -2*sqrt(11))*-5 + 1)**2.\nAnswer: -1520*sqrt(11) + 17961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 12 = -2*h, -z + 5*h = -5*z + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -4)\/((-1)\/5). Let v = 17 - u. Solve -8*n + 3*n + 7 = -c, v*c = 3*n - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128947.\nAnswer: 7, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 111 - 105 = 0. Solve 5*d + 2*j - 1 = -5, q*d + 3*j = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 14. Let s(i) = -2*i**2 - 19*i + 24. Let o be s(-10). Let g be u(o). Suppose a - 154 - 41 = g. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 + -0.1642.\nAnswer: -165.1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 12. Let u = 27 + -47. Let f be (-18)\/5*u\/3. Solve 3*t - f = -t + v*h, -5*h + 10 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8d0d90 + 1?\nAnswer: -8d0d8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.141 + 3.2. Let n = 1629.159 + -1625. Let b = n - j. What is b rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -14.043. Let u = 0.002 - w. Let o = 0.041 + u. Which is the third biggest value? (a) -0.1 (b) -2\/5 (c) o (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {q: 1, t: 2, m: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + o - 4 = 0, -207*o = -3*x - 210*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35304 + 0.05304. Put -388, z, -1\/7 in decreasing order.\nAnswer: -1\/7, z, -388","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -114 (c) -36189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 165 = 4*l - 9, -g + 58 = -l. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4 - 4*d + 0 + 2 - 1. Let v be f(-2). Suppose 4*r + 0*r + 15 = -5*n, v*r + 4*n + 12 = 0. Sort -2, r, 4.\nAnswer: -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1090 divided by -49479.\nAnswer: 1090\/49479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + y**2 - 2*y + 1. Let i(z) = z**3 - 6*z**2 + 19*z - 2. Determine 3*g(u) + i(u).\nAnswer: -2*u**3 - 3*u**2 + 13*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 1020 = -d. Suppose 3*a + d = 7*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1030 * 1.3\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1036176214 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -368497*m**2 - 79*m - 2891?\nAnswer: -736994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 342 + -338. Suppose -3*s - 20 = 2*s. Put s, -1, z, 3 in decreasing order.\nAnswer: z, 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1495, 0, 14, 1.\nAnswer: 0, 1, 14, 1495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 3*d - 4. Let v be n(0). What are the prime factors of (-4 + 5)\/((-1)\/v)*90?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-2))\/((-3)\/6). Solve -5*p = -7 - w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2 + 2*w + 3. Let u be q(-2). Let v = 23 - u. Which is bigger: v or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + 185\/70*-2. Let g(m) = -m**3 - 5*m**2 - 2*m - 2. Let u be g(w). Solve -3*p - u = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -30. Suppose 3*c + 9 + 3 = g, -631 = -5*a - c. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 179*w + 239. Determine v(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.98396326 rounded to three decimal places?\nAnswer: 95.984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 409548253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r - 1 + 142*r**4 - 1 - r**3 - 143*r**4 to w*r + f*r**2 + b*r**3 + p*r**4 + h and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 11 (b) -1 (c) -0.2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 121800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q**(5\/7))**(4\/5) assuming q is positive.\nAnswer: q**(-132\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/5 + 402*k\/5 + 35912\/5 = 0. What is k?\nAnswer: -268, -134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63027810 a multiple of 1899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 4447, -4.\nAnswer: -4, 55, 4447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 501 + -497. Solve 3*l - 3*t = -6, 5*t - v = -l + 3*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/7 + 2569\/(-588) and -67\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8858.74ug in kilograms?\nAnswer: 0.00000885874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 4*y**2 - 4*y**2 + (3*y**2 + 3*y**2 - 2*y**2)*(-4 + 2 - 1 + (1 - 2 + 0)*(-2 + 3 + 1)) to the form b + q*y + z*y**2 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -3, -1, -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 16*p**2 - 4*p + 4. Let g be f(1). Let k = 3 + -4. Let q = k - -1. Solve -2*z + 3*z - g = -5*b, -5*z - 5*b = q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5646862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 9*g + 7. Let t be f(-5). Find the third derivative of -10*u**3 + 0*u**3 + 8*u**t + 8*u**3 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324441 and 4880421.\nAnswer: 6903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -2, 10\/7, -0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1607613 and 216.\nAnswer: 115748136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23374 and 528554.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + q = 265 - 655, -4*u - q + 520 = 0. Let o = -130 + u. Solve -l - 28 = -4*a - 3, o = -4*l - 4*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3839\/2 or -1921?\nAnswer: -1921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*l - 152 = -51*l. What is the remainder when 148 is divided by l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001601764 to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*d**2 + 423*d**3 - 158*d**4 - 424*d**3 + 205*d**4 + (6*d**3 - 2*d**3 - d**3)*(1 + 2*d - 1) in the form p*d**3 + k + x*d**4 + f*d + j*d**2 and give j.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 4*f**2 + 7*f + 2. Let o(h) = 4*h**3 + 13*h**2 + 20*h + 6. Calculate 7*b(i) - 2*o(i).\nAnswer: -i**3 + 2*i**2 + 9*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -1\/2*m**2 + 2*m + 1\/2*m**3 + 0. Let y be v(2). Solve 0*x = 3*x + y*f - 22, -2*x + f = -6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c1739 + 5?\nAnswer: -c1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 4*s - 1\/3*s**4 + 2*s**2 + 0*s**3 + 0. Let h(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1405 (base 11) to base 6.\nAnswer: -12232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 94550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 1462*y**7\/7 + 5*y**6\/6 + 2*y**3\/3 + 247*y**2 + y + 5346. Find the third derivative of g(c) wrt c.\nAnswer: 175440*c**3 + 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4765, 9530, 14295, 19060, 23825, 28590?\nAnswer: 33355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-15)*(-253)\/345. What is the closest to r in -5, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 888\/1168 - 1\/4. Is g >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**4\/4 + i**3\/6 + 3*i**2. Calculate the remainder when d(-2) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 2:41 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1933386 and 199654.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-6 - -2)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.12 (b) -1\/5 (c) 14 (d) -1\/31 (e) 4 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*t**3 - 14*t**2 + 0*t + 0*t + 2 + 35*t**2 - 20*t**2 to n*t**3 + d + k*t + m*t**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*d**2 + 64*d**2 - 79*d**2 as y*d + l*d**2 + z and give l.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+354.01\nAnswer: 353.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5712063627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**6\/360 - v**5\/40 - 3*v**4\/4 + 4*v**2. Let m(t) be the second derivative of s(t). Determine m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7970.589 - -7965. Let k = 0.039 + t. What is k rounded to 1 dp?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 1275*u + 2538.\nAnswer: 3*(u + 2)*(u + 423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 24750245.5 to the nearest one thousand.\nAnswer: 24750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 981 = 246*o - 138*o - 125*o, y = -5*o - 320 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**4\/12 + 2*y**3\/3 - y**2\/2 + y. Let m = 4 - 4. Suppose 0 = -3*j + 1 - 4, 4*s - j - 9 = m. Calculate g(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.008 in 2\/13, -0.5, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:18 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -20 + 5\/((-15)\/(-12)). Let u = p + 46. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -5)\/((-1)\/2). Let x be -1 - (j\/(-1))\/(-4). Let o be 12\/(2 - -2) - x. Solve 3*w - o*w = -6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + r - 5*r)*(4 + 2*r - 5 + 0).\nAnswer: -8*r**2 + 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)*m\/(m*m**(-26)))\/(m**17*m**(-1\/22)*m) assuming m is positive.\nAnswer: m**(-65\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, -17, 7, 4 in ascending order.\nAnswer: -114, -17, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.3 (c) -0.1 (d) -2 (e) -9673 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((650\/(-125))\/((-8)\/(-10)))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 5*c + 280.\nAnswer: -5*(c - 8)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -91*c**3 - 21*c**2 + 20*c + 11. Let w(k) = 127*k**3 + 31*k**2 - 29*k - 17. Let x(m) = 5*w(m) + 7*z(m). What is x(5)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 9*c**2 - 8*c - 10. Let y(f) = -f**2 + 14*f - 16. Let h be y(12). Calculate o(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/15 + 224\/105. Let c be (2\/d)\/(8\/16). Suppose -3*u = -5*u + c. Does u = 3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 26.99. Which is the third biggest value? (a) i (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.062 - 0.062. Which is the second biggest value? (a) -23 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20339, 40695, 61125, 81665, 102351, 123219, 144305, 165645?\n\"Answer: 6*v**3 + v**2 + 20311*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*c - 1186 = -3808. Suppose c*y = -27*y. Solve -13*d + 65 = -y*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5099 - -5096. What is the nearest to 0.1 in t, 4, -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1, -28\/27, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(3*s**3 + 0*s**3 - 5*s**3 + (-s**2 + 3*s**2 - 5*s**2)*(-5*s + 7*s + 7*s)).\nAnswer: -29*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -368 + 189 + y**2 + 2*y - 46*y + 184 to x + l*y**2 + h*y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164322584 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2505 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 12915291.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -79. Suppose b - x*b + 25796 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {x: 5, k: 1, e: 2, q: 5, m: 2, u: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 992*m - 1544 = 996*m. Let j = m - -390. Solve 3*v - 5*o = -2*v - 20, 5*v - j*o = -19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1034814 and 4?\nAnswer: 2069628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 249170.4 to the nearest one hundred.\nAnswer: 249200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13 = c, 2 - 6 = t - 2*c. Let a = t - -18. Calculate the remainder when 24 - (0 + -1)\/(-1) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*y**2 - 142*y**2 - 168*y**2)*(-2*y + 3*y - 3*y).\nAnswer: 786*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2 - 23*l + 32. Let z(x) = -6*x**2 + 19*x - 32. What is 4*k(d) + 5*z(d)?\nAnswer: -2*d**2 + 3*d - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**3 + 2*y**2 + y. Let t be h(-1). Suppose -t = -5*g + 4*g. Solve -7 = -g*q + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16317 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*w - 12 + 16, 0 = -5*j + w + 25 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (97\/(-72) + -1)\/(38260\/(-145072)). Let u = z + -1\/17217. Calculate the common denominator of 207\/30 - 3\/15 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53737.\nAnswer: 17, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 211824239 to the power of 1\/3, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4532063608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53508720 = -2*s - 3*s + c, -42806976 = -4*s + 3*c. Let m = -5801744 + s. Round m to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1494*n + 5974. Calculate h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-10)*(-16 - -6). Suppose -a*m + m - 3*f + 56 = 0, -4*m + 32 = -4*f. Solve 0 = -2*n - 4*k + m, 0 = -n - k + 2 + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100095, 200283, 300471?\n\"Answer: 100188*u - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 4 + 220. Let n be (-3 - (-1)\/(-2))*16\/s. Suppose 18 = n*k - k. Calculate the greatest common factor of k and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 5 - (0 + -1 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50954 + 50950. Let k = -8 - -5. Which is the second biggest value? (a) 2 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.51? (a) -2\/13 (b) -1\/8 (c) -0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(144) + sqrt(144) + sqrt(144))\/sqrt(12))\/(sqrt(324)*2) + (((sqrt(6) - sqrt(24)\/sqrt(4))*-1)\/sqrt(2))**2 + 0.\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/((-260)\/390*(-1)\/2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 822 and 199198?\nAnswer: 597594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*b + 12, b = p - 2*b + 5. Let s be -10 + 2*(-2)\/p. Let g = -4 - s. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5340)\/10048 + 13\/78*3 and 55\/942.\nAnswer: 7536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -68. Suppose 3*a = -18*u + 15*u + 84, 0 = 3*u + 2*a - b. What is the remainder when u is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -269, -566, -863, -1160?\n\"Answer: -297*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 4*n**2 - 94*n + 47. Is w(30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -107\/4001557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 - 233 = -8*u. Let m = -48 + u. Suppose 0*a - 6 = -m*a. Solve -5*n = -5*c, -a*c = -5*n - 5 - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (1 + 3)\/4. Suppose 3*p + 25 - 4 = s. Let r = p + 9. Solve 0*h + 2 = r*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.3 - 0.3. Let f = 0.15 - 0.15. Which is the smallest value? (a) -1 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 6) in base 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, c: 9}. Give prob of sequence cccc.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9660.\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260511.\nAnswer: 7, 180073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5641 (base 10) to base 5\nAnswer: 140031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -14 - (0 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022 (base 5) to base 9.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 77\/2, 10 in ascending order.\nAnswer: -3, 10, 77\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -230\/3 - -1259\/12. Suppose -4*b = -0*b - 5*q - 98, 5*b + q = 137. Which is greater: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 20\/87 (b) 0.7 (c) -0.026 (d) 0.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 11. Let f be s(7). Suppose -2*t - y - 1 = 0, 0 = -85*t + 81*t - 5*y - 23. Solve 0 = i + 2*w + t*w - 2, w - 8 = -f*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1349, 88, 7 in descending order.\nAnswer: 1349, 88, 11, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5 - 9*h**4 - 18*h**3 + 24*h**2 = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17317 times 10899\nAnswer: 188737983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 0 + (5 - 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3500 and 450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (320\/6)\/(-4)*(-2820)\/5875.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 2*m + 8*m**2 - m - 10 + 4*m + 3*m. Let d(j) = -7*j**3 - j**2 - j. Let b be d(-1). Is y(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15387763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) + (-290)\/8. Let d be (158\/711)\/((-2)\/x). Find q such that -2\/3*q - 2\/15 - 4\/3*q**2 - 2\/15*q**5 - 2\/3*q**d - 4\/3*q**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 18 = 0. Let n be -2 - (3 - d - 864). Let y = 7775\/9 - n. Find the common denominator of y and -58\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8 + 1 - 24*c**3 + 3*c + 8 - 217*c**3 + 3*c**2. Let r be x(-1). Let a be (-3)\/(3\/(-19)) - -3. Calculate the greatest common factor of r and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7685 is divided by 998.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*a + 44. What is the remainder when (9\/(-4) + 4)*(22 + 2) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000110000001001011 (base 2) to base 5.\nAnswer: 1020344203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7888546.\nAnswer: 2, 733, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916*c = 4*o - 914*c - 20, -5*c + 26 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 - 7*r**2 - r - 2. Let x be g(-4). Let p = -102 + x. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 162 + 156 = 0. Let n be (x + 21\/(-9))\/((-4)\/(-30)). Solve 5*d = -n*g - 10 - 5, d + 15 = 5*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2352 * -49.509\nAnswer: -11.6445168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-314)\/(-785)*(-25)\/12?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593715156.\nAnswer: 2, 3, 49476263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/146133 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 933 = 5*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -3. Suppose 3*p - f*p = -3*b - 11, 3*b - 31 = -4*p. Suppose -p*q + 4*q = -42. What is the lowest common multiple of 11 and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 34 = 88*j - 8. Sort 4, j, -15 in ascending order.\nAnswer: -15, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -170*s**5 + 2605*s**4 + 112252*s wrt s.\nAnswer: -3400*s**3 + 31260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 0, -46 in increasing order.\nAnswer: -46, -6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2200)*1)\/sqrt(288).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 h when three letters picked without replacement from {k: 1, q: 2, e: 1, n: 4, s: 4, h: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/114506 and 55\/57253.\nAnswer: 114506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4273 + 4241 - (48 + 1)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337663.6 weeks in days?\nAnswer: 2363645.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-100)*((-2)\/(-7))\/(144\/210)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358 less than 1356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, r: 1, i: 2, p: 2, z: 4}. Give prob of sequence zcpi.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -24, -36, -48, -60, -72?\n\"Answer: -12*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -18*r + 159. Give f(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001245 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 1\/3, 0, 219, -1\/2, 2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/5)\/(-2*(-6)\/(-60)). Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/4*(-1 + (-3)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 37. Suppose 0 = 5*z - s*n + 15, 3*z + z = -2*n - 12. Let l(j) = -2*j + 5. Is l(z) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 4) in base 6?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a - 16 + 4*a + 4*a + 8*a. What are the prime factors of x(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/((-2)\/(-68)). Suppose -3*g + 55 = -2*o, -3*g + 7*g + 4*o - 60 = 0. What is the highest common divisor of g and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 18 = -y, 2*b - 40 = -3*y - 0*b. Let u be (-4)\/(-4)*-2 - -4. Calculate the greatest common divisor of y and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1856675 divided by 80725\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1878947 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71118469 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1751400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -317 - -47?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252131 - 28297.\nAnswer: -280428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998.22 rounded to zero decimal places?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8195c + 0?\nAnswer: -8195c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 20*h**2 + h + 17. Determine r(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 5*m**3\/6 - 3*m**2\/2 - 8*m. Let n(w) = -w + 1. Determine g(r) + 2*n(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95409502?\nAnswer: 2, 47704751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(5 + 0 + -1 + 1 + sqrt(325) + -3))**2.\nAnswer: 400*sqrt(13) + 5300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*k + 12, -k + 0*k + 12 = 4*o. Let d be (-3)\/(6\/(-4)) + o. Suppose -2*r - 7 = -d*q + 5, 5*q = 20. Solve -6 = -r*i + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(4\/11))\/m)**(-50) assuming m is positive.\nAnswer: m**(-750\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/5))**(1\/19)*h*h**6*h**5)**(2\/103) assuming h is positive.\nAnswer: h**(2272\/9785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2100 (base 3) to base 14\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/7990 and -127\/1550.\nAnswer: 1238450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -14)\/((-6)\/(-15)). Let x be 1*15*50\/6. Calculate the greatest common factor of m and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9925*w**3 - 2918*w**3 - 8035*w**3.\nAnswer: -20878*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/4 - x**3\/6 + x + 2. Let z(n) be the first derivative of y(n). What is the second derivative of z(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**8\/336 - b**7\/105 + 7*b**6\/40 - 3*b**5\/10 - 4978*b**2. Find f, given that n(f) = 0.\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 6*j - 14. Suppose 0 = -5*y + 3*m - 4 + 15, 3*y - 15 = -m. Determine f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 10) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 250383956 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 1. Let k(m) = 24*m + 6. Let j(l) = -k(l) - 4*n(l). Let c be j(-2). Let w = c - 20. Calculate the highest common divisor of w and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*m**3*s**2*t + 6*m**3*s + 4*m**2*s*t + 2*m*s**2*t - m*t - 166*s**2*t wrt m?\nAnswer: 60*m*s**2*t + 36*m*s + 8*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -1\/17, -10\/7, 1, 5, 72 in descending order.\nAnswer: 72, 5, 1.2, 1, -1\/17, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5830 - 5825. What is the nearest to -1 in m, -4, 1\/66?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 8*j - 9. Let u = -12 + 17. Suppose -36 = u*m - m. Let h be q(m). Solve h = 3*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*r = 57*r - 910 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 9*y**2 - 33*y - 11. Let g(x) = 2*x**2 - 6*x - 5. Calculate the remainder when g(-14) is divided by o(-6).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 + -0.6. Let u = -0.29999 + f. What is u rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15\/2, 0.49, 26.6 in descending order.\nAnswer: 26.6, 4, 0.49, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k**2 - 1283*k**3 - 13*k**2 + 1295*k**3 + 5*k**4 - 2*k**4 - k to u + o*k**4 + v*k**2 + g*k**3 + t*k and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1516, -3026, -4536, -6046, -7556, -9066?\n\"Answer: -1510*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**7)\/(z\/(z*z**7)))\/(z*z**(-1\/4)*z)**(4\/5))\/((z\/z**(2\/17))\/(z*z\/((z**14\/z)\/z*z*z)))**31 assuming z is positive.\nAnswer: z**(-33979\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 9, -0.3, 4, 8, 1\/2 in descending order.\nAnswer: 23, 9, 8, 4, 1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 2146 + 265 - 5877 = 0. Calculate the remainder when v is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 9:05 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 239*u**3 - 4*u**2 - 3*u + 19. Is j(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 29*u = -34*u - 11, 3*u = -d. Sort -4, 2, d, -7 in descending order.\nAnswer: d, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 1321*g**5\/30 + 149*g**4\/8 - g**3\/2 - 3080*g**2. What is the second derivative of v(o) wrt o?\nAnswer: 5284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -972*t**2 - 1195*t**2 - 480*t**2 as m*t + x*t**2 + q and give x.\nAnswer: -2647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2320 and 110438380.\nAnswer: 441753520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*m + 7 = 5*m, 19 = -p + 2*m. Let o = p + 12. Suppose -2*x = o*x - 575. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 70*v**2 - 147*v + 192. Determine s(72).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 + 17*w**3 - 11*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/24)\/((-12)\/72)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011111000 (base 2) in base 3?\nAnswer: -1202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:52 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/10878 and 59\/9324.\nAnswer: 65268","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -14717\/110 + 1472\/11. Suppose -m - 5 = -c, 2*c + 299 - 319 = 4*m. Which is greater: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8885 smaller than 8879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(50) - (1 + sqrt(1331) + sqrt(1331))**2.\nAnswer: -5325 - 219*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - r + 4*r - 49*r**2.\nAnswer: -49*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let s be k(2). Suppose 2 = -4*r - s. List the prime factors of r + 36\/3 - -1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48091 or 48093?\nAnswer: 48093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(1377) + -6*(-1*sqrt(1377) - sqrt(1377)))**2 - ((sqrt(1377) - (3 + -1 + sqrt(1377))) + 4)**2.\nAnswer: -990*sqrt(17) + 166638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76206233291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 27633 = l, 989*l = 986*l + d + 82947. What are the prime factors of l?\nAnswer: 3, 13, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let q = -5 + 3. Let t be g(q). Suppose -4*y + 100 = -t*c, 2*c + 21 = y + 3*c. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 2*w**2 + 4. Let f be 2\/14 - 180\/(-63). Is j(f) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7091 (base 11) to base 14\nAnswer: -3609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31, 121, 271, 481, 751, 1081?\n\"Answer: 30*f**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4\/j)\/(j*j\/(j\/(j**2\/j)*j)*j*j)*j**(-2\/5)*j\/(j**(-3\/5)*j)*(j*(j*(j*(((j\/(j\/j**11))\/j*j*j)\/j)\/j*j)\/j*j*j)\/j*j**(3\/11))**45 assuming j is positive.\nAnswer: j**(35336\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11 - -8 - ((-73)\/25 + 0). Let b = h + -61\/175. What is the nearest to 1 in b, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 55*o**2 - 11*o - 135. Let f(j) = 11*j**2 - 2*j - 35. Determine -11*f(z) + 2*i(z).\nAnswer: -11*z**2 + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*m = 42*m + 392*m + 23104 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 519, -2\/7, -0.08.\nAnswer: -2\/7, -0.08, 519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04169 times 7.4?\nAnswer: 0.308506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -3 + (-2 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 7*a**2 + 8. Let h = -14 - -21. Let b be w(h). Does 12 divide 382\/b - (-4)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2701 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 24033410?\nAnswer: -24033414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1. Let u = 189 - 191. Let n(l) = -2*l**2 + l - 2. Calculate u*p(g) + n(g).\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10737 + -10579. Which is bigger: a or 92?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102412 + -23551.\nAnswer: 78861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13757020.\nAnswer: 2, 5, 29, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64980 divided by -10.\nAnswer: 6498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*j**4 - 226*j wrt j.\nAnswer: -708*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.27115\nAnswer: 0.027115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34986 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 3:40 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 19. Let n be y(0). Is n > -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 6*q + 2. Let n be w(5). Let u = n + 13. Let d(b) = -17050*b + 17050*b + 7*b**2. Let k(m) = 8*m**2. What is u*k(c) + 6*d(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42301 + (2\/(-12)*6 - -8).\nAnswer: 2, 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/8 and 51\/3254?\nAnswer: 13016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48158.45 millilitres to litres.\nAnswer: 48.15845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1339\/294 - 30\/49. Calculate the common denominator of g and -95\/1532.\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) 1\/9 (c) 0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/6 + 3\/(-9). Let w be (-28)\/a*60\/(-42). Suppose 0*t - w = 5*t. Sort 1, -2, t.\nAnswer: t, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6020 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 14 + -3 - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2*sqrt(2) + 3)*5 + 1))**2 - (5 + (sqrt(16)\/(sqrt(16)\/sqrt(4) + sqrt(4)))\/(sqrt(18)*-2)).\nAnswer: -95999*sqrt(2)\/12 + 11395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*p**2 - 23646*a + 23844*p**3 - p**2 wrt p.\nAnswer: 4*a*p + 71532*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 - 4*k**3 + 5*k**3 + (3*k + 3*k - 4*k)*(k + k**2 - k) + 125*k**3 - 208*k**3 - 249*k**3 to the form n + x*k**3 + m*k + j*k**2 and give x.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39817848 divided by -4.\nAnswer: 9954462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 448 + -620?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22260 and 760.\nAnswer: 845880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1884471?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 4*r - 8. Let t(x) = x**2 + 2*x + 3. What is the remainder when t(5) is divided by d(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978830.\nAnswer: 2, 5, 97883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*z**4 - 12*z**2 - 1216?\nAnswer: 200*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(77\/609) + -2. Let u = v - -96. Calculate the highest common factor of 35 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-36)*24\/660)\/((-11)\/55).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.579289t to grams.\nAnswer: 5579289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -14 + 6 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-1 + -2)) + (-2 - -5). Suppose -8*d = -w*d + 30. Let x = -2 + 1.5. Which is the nearest to 0.1? (a) -2\/17 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.117 in -0.2, -3, 357?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = -27. Let y be 10 - (-4)\/(12\/l). Solve 3 = -2*a - y, -3*f - 32 = 4*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*(-2)\/20 + 404\/(-980))\/((-5)\/42). Factor t*z**2 - 4\/7*z**3 + 48\/7 - 80\/7*z.\nAnswer: -4*(z - 6)*(z - 2)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1040, 4.62, -4, 4 in ascending order.\nAnswer: -4, 4, 4.62, 1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 129 = 2*g. Let m = -87 - g. Let c = m - -11. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 8*j**2 + 6*j - 40. What is t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2. Let j(z) = 56*z + 385280. Determine j(l(x)).\nAnswer: -168*x**2 + 385280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3106*j**4 - 24397*j**2?\nAnswer: -74544*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 39. Let s(l) = -l - 19. Let w(p) = -6*d(p) - 13*s(p). Let z be w(-11). Suppose -z*x - o + 859 = 0, 0*x + x - 452 = -5*o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09383252191 to five dps.\nAnswer: -0.09383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by (-15)\/(-20) - (-178)\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695050011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 1. Let l = -295 - -296. Let i(m) = -m + 7. Give l*i(d) + 5*o(d).\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18637? (a) 6\/11 (b) -3\/5 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25850 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*r - 221 + 239, 3*r = -4*c - 35 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 6:02 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539813692?\nAnswer: 2, 11, 53, 231481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 310423 (base 5) in base 3?\nAnswer: 111212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -1)*(3 - 4). Solve 2*b + l = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 214, 217, 220?\n\"Answer: 3*f + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3 + (-1 + 1 - 2)*(-3 + 0 + 1) + 2 - 1 + 0 + 2 - 2 - 1 + (3 + 1 - 6)*(-5 + 4 + 2) + 1 - 4 + 2)*(3611*m - 4805 + 4805).\nAnswer: -3611*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggzzgz. Give prob of picking 1 g and 1 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 967228713.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10. Put -1\/6, -0.3, z in descending order.\nAnswer: z, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-11)*(-33924)\/(-2056))\/((-3)\/(-10)*-1)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1015040 - -3647.\nAnswer: -1011393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128542065.\nAnswer: 3, 5, 29, 109, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 4. Let u = i + 3. Let d = -103\/238 + 5\/34. Which is the nearest to u? (a) -0.2 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*x - 2*y, -2*x - 4*y + 0*y = 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l + 1523 = -25. Solve -23*t + 26 + l = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 11900*w**3 - 4 - 90703*w**3 - 1.\nAnswer: -78803*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6107001 + -1392399635\/228. Let b = -10320 + 784303\/76. Let c = x + b. Calculate the common denominator of c and -37\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -878\/51 + 52\/3. Suppose 0 = 6*i - 3*i - 5*g, 0 = 2*i - g. Suppose i = -4*m + 3*w - w - 8, 3*m = -3*w + 12. Which is greater: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blqh when four letters picked without replacement from {l: 1, q: 2, n: 2, h: 1, b: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {x: 1, h: 1, i: 1, q: 4, p: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3962597 is divided by 3086?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.746211 centimeters to kilometers.\nAnswer: 0.00001746211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -58, -33, -8, 17, 42, 67?\n\"Answer: 25*t - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -17. What is the nearest to 1 in -0.5, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {d: 4, x: 6, y: 2, b: 3, n: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + b = -0*f - 26, 0 = 2*f + 3*b - 10. What is the remainder when 38 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -91*f**4\/4 + f**2\/2 + f + 16. Is n(-1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 53*p**2 - 1685*p + 3202. Calculate w(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.175027092 to three decimal places.\nAnswer: 2.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - r)*(0 + 3 + 2)*(0*r**4 + 3*r**4 - 4*r**4).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542*i = -545*i + 18, -5*g - i = -731. What is the remainder when 486 is divided by g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37302.919 to the nearest ten.\nAnswer: -37300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -113\/5. Let p be (-6)\/(-21) + 446*(-4)\/21. Let n = p - -85. Put u, -1\/10, n in descending order.\nAnswer: n, -1\/10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/8)\/(-1)*34\/17.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x**3 - 60422*x + 166984?\nAnswer: 6*x**2 - 60422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/350)\/((-1)\/(-7)*-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 4, b: 7}. Give prob of sequence bz.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6663317 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d - 1625 - 1910 + 3055 = 0 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 131.87 and -0.2?\nAnswer: 132.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(51)\/sqrt(48)*-4 + (1*sqrt(1700) - sqrt(1700) - ((sqrt(68) - (sqrt(68) + 0)) + sqrt(68)))**2 + 4.\nAnswer: -sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/638 and -119\/132924?\nAnswer: 3854796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:47 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/9 or -2\/15879633?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a week in hours?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -32\/539, 266.\nAnswer: -5, -32\/539, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -52390*d. Let t(b) = -2*b - 1. Let a(u) = -2*k(u) + 36*t(u). Let q be a(17). Round q to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -436, 1\/63, -1\/4, -16, -0.4 in decreasing order.\nAnswer: 1\/63, -1\/4, -0.4, -16, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420 + k**2 + 420.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by 8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 368, -4 in decreasing order.\nAnswer: 368, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -12*o + 15*o + 840, -3*s = -5*o - 619. Calculate the remainder when s is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 = d - 0*u, -u + 15 = 5*d. Let s(i) = 2*i. Let k be s(1). What is the second derivative of 3*g - 4*g + k*g**d + 0*g wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13514763083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*r + 123 = -216 - 197 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123.9 - 123. Let p = 1.5 + -2. Let f = j + p. Put f, -3, 1\/2 in decreasing order.\nAnswer: 1\/2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - c + 584, 0 = 4*g - 4*c - 1156. Let v = -1449\/5 + g. Factor v - 4*m + 14\/5*m**2.\nAnswer: 2*(m - 1)*(7*m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.8 + 41.78151. Round i to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 403. Let d(i) = 4*i - 806. Calculate -5*a(z) - 3*d(z).\nAnswer: -2*z + 403","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 3. Let b be w(-9). Suppose -4*m + 119 + 21 = -4*o, b = -2*o - 2*m. Let h = o + 112. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + 2*o)*(-2 - 2*o**2 + 2) - 1 + 1 + 2*o**3 + 2*o**3 + 0*o**3 + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/130658?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/5)*t)**(-10\/3)*t**13*t**(-1\/13))**(-37) assuming t is positive.\nAnswer: t**(-2368\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139361962?\nAnswer: 2, 3779, 18439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020838817 to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.3 - 13.3. Is d >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213994137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b**3 + 70045750*b**2 - 27257824966540*b + 6057290977960 = 0 for b.\nAnswer: 2\/9, 778286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 4*u**2 - 9*u + 14. Let q be b(-6). Sort q, 3, 4, -5 in descending order.\nAnswer: 4, 3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*j - f - 4*f - 99, f = -5*j + 3594454 - 3594477 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/30*52\/1 + 5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*f**3 + 421145*f**2 + 826586*f - 31192.\nAnswer: (f + 2)*(f + 15596)*(27*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 984 divide 473423064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 37390*z**2 + 696*z**3 - 10*z - 37390*z**2 in the form i + t*z + c*z**3 + p*z**2 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {l: 2, m: 1, p: 1, v: 1, n: 1, f: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23614 times -1\nAnswer: -23614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 3886?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(425) + -3)*-1.\nAnswer: -5*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(sqrt(50) + -3) + -1*(sqrt(6)\/(sqrt(3)*1 + sqrt(3)))**2).\nAnswer: -80*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 14904*n - 29812.\nAnswer: (n - 2)*(n + 14906)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.723, 8, -0.3, 121, 3\/7, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*3106\nAnswer: -931.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -63. Let g = 6 + -10. Let n be ((-8)\/(-2))\/((-1)\/g). What is the highest common factor of n and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 1.1?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7.3. Which is the closest to 6? (a) 0 (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 7 + 8 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((-4)\/40) - (-3 + -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4)*48\/(-18). Let r(j) = j**3 - 6*j**2 - 6*j - 4. Let t be r(7). Let i(h) = -4*h + g*h - t*h. Let a(c) = 2*c**2. What is a(i(n))?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 8) in base 14?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.5, 0.1, 1\/3, -2187.75?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -696*u + 253 wrt u?\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-11))*j*j\/(j\/(j\/(j\/j**(-4\/11)*j)*j)*j))**(-9)*(j**1*j\/j**2*j*j)\/(j\/(j\/j**(2\/3)))**(-18) assuming j is positive.\nAnswer: j**(-899\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 153167 in 8\/9, -3, 0?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1.3 (c) -0.024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6931 and 1044?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -30. Let i = u - -45. Let x = 14 + i. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -34 and 220.420317.\nAnswer: 186.420317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -16050*s + 48149. Let d be l(3). Suppose -c = -x - 1, 2*c = 3*x - 3*c + 1. What is the biggest value in d, 5, -2\/5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.81 + -0.19. What is the closest to -1\/6 in 3\/4, 3, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1042, 5076, 13716, 28528, 51078, 82932?\n\"Answer: 261*y**3 + 737*y**2 - 4*y + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.9 (b) 92.8695 (c) -0.3 (d) 2\/5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v + 24. Let w be d(0). Suppose -581 - 3427 = -w*c. What is the remainder when c is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.61 + -8894602518.\nAnswer: -8894602536.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1604 + 0.4604. Which is the biggest value? (a) -5 (b) 12 (c) -3\/2 (d) 5 (e) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5010)\/9 + 2\/(-6). Let s be w\/(-3) + 4\/(-6). Suppose -4*r - r + s = 0. What is the remainder when r is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14759619 to the power of 1\/2, to the nearest integer?\nAnswer: 3842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veyy when four letters picked without replacement from yyyyyevep?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5502125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/286 and 113\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 6*o + 2*o + 2*o + 4*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*y + 19. Suppose 90 = 7*u - 2*u. What is the lowest common multiple of u and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 10349.\nAnswer: 9\/10349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*z - 9, -7*z + 10*z + 17 = 4*o. Let d(k) = -k + 1. Let a be d(-4). Suppose a*y = o*y + 9. Solve -4*q + y = -17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3136) + sqrt(3136) + sqrt(3136)*-2*5)\/(1*sqrt(1008)*-5)*2.\nAnswer: 64*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97\/((-5238)\/72)*(-207)\/(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r + 5. Let w(a) = -20*a + 14. Let p = -458 + 453. Determine p*w(h) + 14*n(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215551 + 218552.46. Let o = q + -3037. Let m = o - -36. Round m to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/42 and -13\/105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -176*u**3 + 9*u**2 + 1. Let p(v) = 528*v**3 - 24*v**2 - 2. Calculate -8*l(g) - 3*p(g).\nAnswer: -176*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6781643.\nAnswer: 11, 616513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7041 less than 0.5?\nAnswer: 7041.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(2\/71)*c**(-1\/4)\/c**(-5) assuming c is positive.\nAnswer: c**(1341\/284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-1)\/(-3))\/(39\/(150 + -33)). Let t(z) = -z - 5. Let o be t(-5). Put c, o, -2, 1 in increasing order.\nAnswer: c, -2, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 - -12bc0?\nAnswer: 12baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198869755 or 198869756?\nAnswer: 198869755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 746 divide 6903484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*l = 9 + 21, c - l = -6. Let d = 7 - c. What is the remainder when 38 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-9) - ((-391)\/153)\/(-23). Suppose -4*t + 5*r - 10 = -3*t, -2*t = -4*r + 8. Find the second derivative of -6*b**3 + i + 5*b + 15*b**3 + t wrt b.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fpmfppff?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50440677?\nAnswer: 3, 7, 43, 83, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-12)\/b)\/b**(-10\/9))**(-2\/5) assuming b is positive.\nAnswer: b**(214\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 2*r**4 + r**3\/3 - r**2\/2 - r - 1. Let y(p) = -p + 1. Let x be y(-4). Suppose -x*k + 5 = 10. Determine n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 1\/6*p**4 + 0 + 2*p**2 + 7\/6*p**3 - 60*p. Let q(z) = z**3 + 10*z**2 - 4. Let s be q(-10). Determine d(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**3 - 26477*r**4 + r + 3*r**2 - 2*r + 52957*r**4 - 26483*r**4 as j + d*r**3 + x*r + o*r**4 + b*r**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1185 = -18*b + 10281. Let y be (-1)\/(-13) - 140\/b. Let i = 4.99 + 0.01. What is the closest to -2.8 in i, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 2*p**2 + 17*p**2 + 5*p**2 as u*p**2 + m + j*p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 288699 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 + 142*p**3 - 440*p**2 + 296*p = 0.\nAnswer: -74, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1872733 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1059072 by -61.\nAnswer: -1059072\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92.999792 - 93. Round o to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*n - a, -4*n + 8 = -3*n + 3*a. Factor 0 + 2\/7*c**5 + 2\/7*c**3 + 0*c**n + 0*c - 4\/7*c**4.\nAnswer: 2*c**3*(c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 + 5*u - 16. What is y(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2426, -4825, -7126, -9281, -11242, -12961, -14390, -15481?\n\"Answer: 8*n**3 + n**2 - 2458*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.14 take away 113648?\nAnswer: -113267.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18)*-8)\/((-95)\/(1900\/(-880)))\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 7)*(3*z - 5*z + z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64093?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 101*p**2 - 291*p + 288. Calculate k(-98).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.4587 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17471688 or 17471687?\nAnswer: 17471687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04524 - -1163.24524. Round y to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (46*o**2 + 35*o**2 - 37*o**2)*(2*o + 2*o - 2*o) + 11*o**3 + 87*o**3 + o - 12*o**3 as z*o + p + g*o**2 + a*o**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -30. Let d be 9\/(-7) + 6\/21. Let r be d\/(-4) - ((-54)\/(-24) + -4). What is the greatest common divisor of r and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 31 = -7*h, -3*p + 817291 = -5*h + 817308 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.079 - 8.093. Let a = 0.072 + q. Let s = 11.1198 + a. Round s to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28865314 rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9008 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -3850?\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007383 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*g - 105, -66 = -3*g - 2*f + 17. Suppose -g*k + 22*k = 35. Is -4 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 7*z. Let j be p(-6). Let d(c) be the second derivative of 4*c + 0*c**4 + 0*c**2 - 1\/60*c**5 - 1\/90*c**j + 0 + 0*c**3. Factor d(v).\nAnswer: -v**3*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 60. Factor 10*l**4 + i*l**3 + 2 + 2*l**5 + 2 - 2 + 10*l + 20*l**2.\nAnswer: 2*(l + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 s when four letters picked without replacement from {o: 4, x: 4, s: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 416 + -880. Let a be (-29)\/(z\/2304)*1\/2. Calculate the highest common factor of a and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 25.1. Let o = -1.1 - -5. Let v = j + o. Which is the nearest to -2\/7? (a) v (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 6*n - 3. Suppose -2*h = -h + 5. Let p be i(h). What is the third derivative of -3*u**3 - 8*u**2 + 4*u**p + u**3 wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982645 is divided by 89096.\nAnswer: 2589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100738 divided by 209.\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-2))\/((-21)\/(21\/10)). What is the closest to -0.1 in z, 0, 3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2))**(-2) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 924641053 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 41. Solve 3*l + c = 3*k + 9, -21 = 5*l + k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyyydyydydy. Give prob of sequence dy.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23\/5)\/(16\/160). Suppose -5*u + 62 = 4*h - 0*u, 3*u + b = 4*h. What is the remainder when 21 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10772*c + 20272*c + 324*c**4 - 12170*c - 1445*c**4 - 2213*c**4 wrt c?\nAnswer: -40008*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**5\/20 + 5*t**4\/12 + t**3\/2 - 5*t**2\/2 + 8*t. Let c be o(-4). Let m = -2 - -1.8. What is the biggest value in -0.6, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose b = -s + 8. Suppose -p + b = -4*p. Are p and -2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240335 (base 6) in base 7?\nAnswer: -114560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13177\/336 + -549\/14. Let h(r) be the second derivative of -1\/24*r**3 + 1\/160*r**5 + 0*r**2 - 1\/32*r**4 + 0 + 1\/80*r**6 - 21*r + i*r**7. Factor h(w).\nAnswer: w*(w - 1)*(w + 1)**2*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = -4*u - 2, -16 = 4*u - 4*x. Let y(b) = -18*b - 24. Let n be y(3). Sort 3, u, -2, n in decreasing order.\nAnswer: 3, u, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**2\/2 + 5*q - 28. Let r be n(5). Solve r*d - 4*j - 26 = -3*d, -4*d - 3*j - 7 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - d)*(-2*d**4 - 1 + 1) - 2798834 - 754*d**5 - d + 2798834.\nAnswer: -752*d**5 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -657*u + 197*u - 3*u**2 + 8*u**2 + 611 - 295*u + 1609 = 0.\nAnswer: 3, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*m**3 - 5 - 3 - 17883*m**2 + 17883*m**2 - 27 - m to j*m**2 + n*m + r*m**3 + o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8429?\nAnswer: 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43160311.2 and 11?\nAnswer: 43160300.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 864. Let f(t) = 287. Give 7*f(l) + 2*h(l).\nAnswer: -2*l + 281","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + -2 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (1 - 1)) + (-180 + 117 - -82)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -14*d + 34. Let r be u(2). Let m(t) = -t**2 + 12*t - 6. Determine m(r).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5828 rounded to two decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3757*f - 3749*f - 3754*f - 3749*f + 15008*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 284137568 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, v: 3, f: 11, c: 3}. What is prob of picking 1 v and 3 c?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/7)*o**(2\/9))\/((o\/((((o\/(o**(2\/5)*o*o))\/o)\/o)\/o))\/o**(-2)) assuming o is positive.\nAnswer: o**(-2396\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2 (b) 3\/2 (c) -9\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -113197*i - 226414. Determine v(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 w, and 1 k when four letters picked without replacement from wwwwwnnnwknwwwwwn?\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40663743?\nAnswer: 3, 19, 713399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 961\/9*c**2 + 4 - 124\/3*c.\nAnswer: (31*c - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, 24, 214, 408, 606?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3169008420901 + 3169009734537.400087. Let x = -1313671.4 + g. Let o = x - -35. What is o rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 185512308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -2*u - 6*o - 46, 5*u + 0*u - 4*o = u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 224*n - 3922. Calculate q(40).\nAnswer: 5038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r - 1. Suppose -3*f = -4*f - 1. Let o be 1*f*(-1 - -2). Let g be x(o). What is the greatest common divisor of g and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -262.4 - -203. Let i = 59 + u. Which is the nearest to 0? (a) 0.2 (b) i (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 508*a**2 + 14*a - 18. Let f(d) = 510*d**2 + 8*d - 19. Let r(q) = -6*f(q) + 4*w(q). What is the second derivative of r(h) wrt h?\nAnswer: -2056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = -3. Let k = j - 7. Let x(s) = 4*s + 19. Let l(w) = 5*w + 34. Let n(q) = 4*l(q) - 7*x(q). Give n(k).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*v**4 - 68*v**3 - 80*v**2 - 16*v.\nAnswer: -4*v*(v + 2)**2*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 17*d**2 - 13*d + 184. List the prime factors of s(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 30, 64, 102, 138, 166, 180, 174?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -7*r**4\/4 + 23*r**3\/3 + 11*r**2 - 8*r - 15. Find m such that a(m) = 0.\nAnswer: -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007583 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2807 + 4245. List the prime factors of m.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -275, -408, -541, -674, -807?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -39961 times -174\nAnswer: 6953214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 28*c + 63. Calculate the remainder when 140 is divided by i(27).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Let v = d + 26. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/f**(-2)))\/f)**(-4\/3)\/(f\/f**(1\/3))**12 assuming f is positive.\nAnswer: f**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -201101222001 (base 3) in base 4?\nAnswer: -1131100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 24*c + 23*c + 1)*(-88*c + 5 + 6 - 9).\nAnswer: 88*c**2 + 86*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -59\/300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g = 15*g + 333 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 301 = -49. What is the greatest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 1\/20*c**5 + 0 + 1\/360*c**6 + 1\/6*c**4 + 13\/6*c**3 + 4*c**2 + 0*c. Let o(q) be the first derivative of h(q). Determine o(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from dsisihsdidibdbsi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 1, x - 6439 = -4*d - 0*d. Suppose -2*v + p - 1337 = -5639, 4*p = 3*v - x. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(85) + sqrt(85)*1 + sqrt(85))\/sqrt(5))**2 + sqrt(17)).\nAnswer: -459 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/(-20) - (-22)\/(-8). Sort 8, 1, -12, l in descending order.\nAnswer: 8, 1, l, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -41?\nAnswer: 8\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 18*p. Let g(d) = 9*d. Determine 13*g(q) - 6*m(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {c: 1, f: 6, g: 1, z: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1) - (-2 - -1). Let w = 53 - 36. Let h = w + i. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 2*f - 7. Calculate j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 3. Let k(m) = 18*m + 5. Let l(w) = -22*w - 7. Let h(i) = -5*k(i) - 4*l(i). Give h(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 234, 955, 2162, 3855, 6034, 8699?\n\"Answer: 243*p**2 - 8*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 6*g**2 - g - 4. Let n be f(-6). Suppose -n*d + 45 = 3*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.27223895 * -0.2\nAnswer: -0.45444779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009397 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28389980298 - 28389982381.9997511. Let q = y - -2084. Round q to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(-4*s + 0*s + 2*s)*(3 - 1 + 1)*(656 + 1420 - 711) to the form h*s + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f - 79*f**3 - 72*f**3 + 220*f**3 - 73*f**3. Let l(v) = 3*v**3 - 2*v. Let t be (-27 - -26) + (-9)\/(-3) + -4. Give t*r(s) - 3*l(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3312*t + 586203. What is x(-177)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 165, 222, 281, 342, 405?\n\"Answer: h**2 + 54*h + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(0 - 1 - 1). Suppose -x*z = -z + 4396. Let j = z + 10952\/5. What is the common denominator of j and 31\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - l)*(-1 - 1 + 0) + 0*l + l - 2*l - l + 2*l + 0*l + 863*l + 982*l - 5804*l.\nAnswer: -3957*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = 0, 4*w - 10 = 5*b + 15. Let u = -0.05 - -4.05. Let m be (-8)\/(-14) + 0\/2. What is the third smallest value in u, m, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -20*z + z + 6*z**3 + 24 + 3*z**2 - z**2 + 0*z**3. Let w(m) = 2*m**3 + m**2 - 6*m + 8. Let u(v) = 6*s(v) - 17*w(v). List the prime factors of u(5).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 149*h**2 + 19215*h**3 - 149*h**2 + 11.\nAnswer: 19215*h**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*l + 18*l**2 + 10*l**3 + 114 + 48*l + 74*l**3 - 46*l**3 wrt l?\nAnswer: 228*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40754 (base 14) in base 13?\nAnswer: 557a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38464517?\nAnswer: 7, 13, 331, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2) + (-24)\/(-4). Suppose -44 = t*n - 6*n. What is the lowest common multiple of n and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-2 + ((-4)\/36)\/((-3)\/18). Sort o, -0.13, -0.5, -5.\nAnswer: -5, o, -0.5, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3229 is divided by 945.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibk when three letters picked without replacement from {k: 3, i: 4, b: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 434834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-2)\/((-44)\/(-9))*(-44)\/(-24)\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 2*c**2 + 31*c + 101. Determine t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2276 and -41\/49540.\nAnswer: 28188260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 15808187.\nAnswer: -15808185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.01328 - -57264727\nAnswer: 57264723.98672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(1\/2)))**(-1\/4)\/(b*(((b\/(b**(-1)\/b))\/b)\/b)\/b)**(-1\/2) assuming b is positive.\nAnswer: b**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.428059 weeks?\nAnswer: 30.996413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/33 - 30\/(-165). Suppose 5*o - 4*s - 1005 = -p*o, -2*s = 2*o - 402. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -71*s + 78. Determine i(-15).\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwytutywwtfwttwt. Give prob of sequence uwyt.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7*(c**(-8)\/c)\/c*(c\/(c**(-1)\/c)*c)\/(c**(-5)*c))**(6\/13) assuming c is positive.\nAnswer: c**(30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5384 - 5381. Let l be (-4)\/2 - 16\/(-7). Suppose -5*r - 20 = -9*r. Which is the fourth smallest value? (a) 0 (b) r (c) i (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1240\/20)\/(4*1\/2). Suppose 41 - i = 5*k. Suppose -4*s + o - k*o = -22, -3*s + 17 = o. Solve 4*h + 0*h = -y - 19, -s*h - 25 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1493395105*m**2 - 1489406417*m wrt m?\nAnswer: -2986790210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 5:12 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**3 - 2*j**2 - 2*j - 1. Let l = -30 - -51. Let n = -13 + 24. Suppose 5*y + l = -4*a, -3*a - n + 1 = -2*y. What is o(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j + 29. Let h be b(11). Let o = 53 + h. Let w(r) = -4 + o*r + 2 - 5*r + r. Let x(f) = -2*f + 4. Calculate -13*w(y) - 6*x(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 + 39*r - 10 = 0. What is r?\nAnswer: -10, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {r: 1, a: 1, j: 4, c: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18242 + 9.87142. What is t rounded to 1 decimal place?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - p - 1. Let m(a) = -67*a**3 + 2*a**2 + 6*a + 5. Let i(b) = m(b) + 6*r(b). Suppose -4*f + 2*x = 0, 8 - 1 = -5*f - x. Is 11 a factor of i(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + 10340?\nAnswer: 10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71 and 17219.1?\nAnswer: 1222556.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y - 4 = 0. Let g be (70\/(-6))\/(1\/(-3)). What is the units digit of ((-1)\/y)\/(5\/g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*35852.\nAnswer: 17926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5263 - -8954. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41277.1 minus 140329?\nAnswer: -99051.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 1, 109, -2\/5, 0.1, 58?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*g + 11, -3*b + 4 = 3*g - 17. Is b smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d*((d*d**(-1\/3)*d)\/d)\/d))*d**6\/d)**(2\/63) assuming d is positive.\nAnswer: d**(40\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.8. Let n = 74 - 105. Let o = n + 28. Which is the third biggest value? (a) f (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 a factor of 6397534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, w: 2, z: 7}. Give prob of picking 2 z and 1 x.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -1964?\nAnswer: 7\/982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/(g\/(g**7*g))))\/((g*g*g**5)\/g))**(-6))**(2\/7) assuming g is positive.\nAnswer: g**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -10*j + 23*j - 1919961. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 496*v**2 - 31*v + 41712?\nAnswer: 992*v - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*a + 4. Let b(w) = 63*w**3 + w**2 + 5*w - 7. What is the remainder when b(1) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 10\/317 (c) 251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/2)\/(-2)*27\/6. Let x(y) = -y**2 - 11*y - 3. What is x(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0504 + 28.0504. Let v = r - 32. What is the nearest to 2 in v, -2, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {i: 3, g: 1, e: 11}?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m - 103440 = -3*u - 938243, -5*m + 134677 = 3*u. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**6\/5 - 4*z**5\/25 - 13*z**4\/10 + 16*z**3\/15 + 4*z**2\/5 - 322. Solve v(g) = 0.\nAnswer: -2, -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24384*t - 24345*t - 3308253. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26177, 209574, 707349, 1676690, 3274785?\n\"Answer: 26198*r**3 + r**2 + 8*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 + 1120968*g = 0.\nAnswer: -1120968, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141101191.\nAnswer: 7, 11, 47, 127, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hch when three letters picked without replacement from tcghth?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-3)))\/o)**(-3\/34) assuming o is positive.\nAnswer: o**(-3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -322 + 38?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 1e8a?\nAnswer: -1e73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.116 - 3.884. Which is the third biggest value? (a) 4 (b) s (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787815311.\nAnswer: 3, 595938437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94289946?\nAnswer: 2, 3, 15714991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432.532 meters in kilometers?\nAnswer: 1.432532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 287*o**2 - 2*o - 5506*o**2 - 312*o**2 to i*o**2 + d + s*o and give i.\nAnswer: -5531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 171849612, 171849611, 171849610?\n\"Answer: -m + 171849613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**4\/3 - 6*o**3 + 2*o**2\/3 + 12*o - 16\/3 = 0.\nAnswer: -4, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4801\/16 - 1851\/16. Let v = 184 - t. Which is the nearest to 2\/5? (a) 1 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*m - 11424, 0 = -6*n + 5*n - 4*m + 11400. Suppose 46*a - n = 21708. What is the smallest common multiple of a and 1?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.92215 millimeters in kilometers?\nAnswer: 0.00004592215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75230, -75232, -75234, -75236?\n\"Answer: -2*d - 75228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 133 + 57?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -152\/3. Let m(c) = 3*c - 18. Let r be m(6). Suppose 0 = b - 5. What is the closest to h in b, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 0 + 1 - a**3 + 0 to z*a**3 + q*a + c*a**2 + y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 10:25 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**3\/6 + a**2\/2 - 2*a. Let g = -5 + 5. Let h be d(g). Is 1\/7 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64, 87, 110, 133, 156?\n\"Answer: 23*v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461693 - 4*w - 6*w**2 - 461685 + 4*w.\nAnswer: -6*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268 and 592172666.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 665783072*l**5 + 6*l + 10659474 wrt l?\nAnswer: 13315661440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285 - -405. What is the highest common factor of 432 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6915539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 96 (b) -0.01 (c) -0.3 (d) -0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 3:52 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*s - 2 + 34 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3355 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/39403326 and -7\/20.\nAnswer: 394033260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017042331 to five dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 221 - 108 - 104 - 9*d**4 with respect to d.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6390451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28928.2 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281*p - 61*p + 24*p to the form n + h*p and give h.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 17*m - 8*m - 3*m in the form z*m + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -323 - -200. Let v = 256 + r. Which is bigger: v or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -m, 580 = 35005*m - 35061*m - 4*i for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -1\/4, -2\/7, -7, 0.7369?\nAnswer: 0.7369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2655 and 111\/20650.\nAnswer: 185850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5*1*12\/(-90)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6982323 - 1?\nAnswer: -6982324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -0.4 (c) -1\/2 (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/182 and 127\/234.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28871 and -0.6.\nAnswer: 17322.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-7))\/(i\/i**(-7)*i))\/(i*i**(3\/11)*i**(-3\/5)) assuming i is positive.\nAnswer: i**(-807\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 10*w + 6. Let q be r(-7). Let n = 928 - 889. Let h = q - n. Which is smaller: h or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 19 + 25)*(-2*y**2 + 2*y**2 - y**2)*(-y**2 + y**2 - y**2) - 1 + 1 + y**4.\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46 - 8605?\nAnswer: -8559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 0*x + 0*x + 2*x. Let n(c) = -c. Let a = -48 - -40. Let u = -5 - a. Give u*n(q) + s(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 8:05 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1288202.05 to the nearest one thousand.\nAnswer: -1288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12027 (base 8) to base 6\nAnswer: 35451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -26*y + 66. Give k(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + 0 - (0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -118*k + 436. Determine v(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 3. Let q(p) = -p**3 + 18*p**2 + 19*p + 1. Let b be q(g). Let m(d) = -4*d. Give m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o - 1 + 1 + (7*o + o - 4*o)*(4 - 4 - 1) as v*o + w and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1091965305 to the nearest integer?\nAnswer: 33045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*x - 0*b + 295, -5*x + 5*b + 425 = 0. Suppose x = -10*f + 10. Is 2 a factor of 48\/f*40\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c748 (base 14) to base 11.\nAnswer: 765a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 + 4*d**2 - 13*d**2 + 7*d**2 - 10*d - 7 - 79 to x*d + f + o*d**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/(-130) + 42\/105 and 273\/(-55) - (13\/(-5) + 2).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d + 4*d + 0*d)*(-21 + 6856*d + 6 + 4 + 2 + 9) as g + s*d**2 + b*d and give s.\nAnswer: -6856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-8 - (-2 - -1))) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 + 8.21. Let u = b - 13. Which is greater: -2\/5 or u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a (base 14) in base 2?\nAnswer: -100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 6*w = 122. Let a = 352 + -180. Let f = a + w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + 0\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + p - 44, -3*v - 17 = -p - 57. Suppose -3*a + 1293 = 2*h, 233 + 1682 = 3*h + a. Calculate the highest common factor of v and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010100000011100110011110 + -111?\nAnswer: 100010100000011100110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + 3*g + 5*g + 2*g + 3*g - 2*g + (2 - 1 - 3)*(-2 + 2 - 2*g) - 2*g - 8 + 8.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 4*i - 12. Suppose -6*p - 77 + 11 = 0. Let q(g) = -3*g - 28. Let m be q(p). Is v(m) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/(47\/31))\/(-1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 7.3.\nAnswer: -2.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2027423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 120 and 1848?\nAnswer: 221760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 14*k**2 + 4*k - 9 - 9*k**2 - 2*k**2. Let c be i(-6). Suppose u + c = -6*f + 8*f, 4*u = -20. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -21*l - 9. Put 1\/3, l, 1.7, -1\/5 in decreasing order.\nAnswer: 1.7, 1\/3, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -480 - -820. Let r = 400 - l. What is the remainder when r is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (600\/900)\/((-4)\/66)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21328 and 3720403?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/3)*k)\/k**(-1\/10)*(k\/k**(-1\/3)*k)**(20\/9) assuming k is positive.\nAnswer: k**(2147\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/8*5\/(-15). Let x be ((-16)\/6)\/((-6)\/(-9)). What is the smallest value in -15, 0.4, c, x?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7 + 0 - 6 - 2*u to the form p + b*u and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99410 is divided by 112.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-74)\/54)\/((-5)\/15) + -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + v**3 - 4)*((21*v + 12*v + 15*v)*(0 + 5 - 3) + (0*v - 2*v - 2*v)*(-3 + 0 + 2)).\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -17. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.005203*-7525.\nAnswer: -39.152575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*z - 61 wrt z.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 515*g - 4175. What is i(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3412*d - 1709*d - 1701*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 20. Let u be b(21). What is the second smallest value in -12, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 5:13 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/18*((-28)\/(-16))\/7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6*k - 150. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4607\/16 + -585\/2. Let c(p) = -5*p**2 + 1. Let m be c(-1). Find the common denominator of (m\/(-56))\/((-18)\/(-399)) and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 2) + (4 + 0 - 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + d - 17 = -2*u, 0 = 2*u - 3*d + 9. Let c be (-1 + u)*(6 + -5). Suppose -3 = -c*i + 3. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 94116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m - 16*m + 852050 - 852037 + 21*m.\nAnswer: 19*m + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7687229957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10233248 and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124896569 + -169.\nAnswer: 124896400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78849005?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h*z**3 + 42*h*z**2 + 3*h*z + 24*z**6 - 21*z**2 wrt z.\nAnswer: 24*h + 2880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -8140722762 and 17.6.\nAnswer: -8140722744.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.724 and 0.73.\nAnswer: 2.71852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1*(2 - 6). Let r(s) = 6*s - s - a*s. Let f(k) be the first derivative of 2*k**3\/3 - 1. Give r(f(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (13 + 11)) + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (60\/9)\/(6\/9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:28 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045008 rounded to 5 dps?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*g + 5 = -0*h, -g + 1 = 5*h. Let r be (-4)\/10 + 4\/10. Suppose z + r*z = h. Solve -k + 6*k = z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2800?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6710 and -5.008.\nAnswer: 6704.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4\/4 + u**3\/3 - u**2 + 525. Find k such that l(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 585 + -207. Calculate the smallest common multiple of 3\/8 - a\/(-16) and (-14)\/10*(-2 - 3) - -3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11390 - -11974. Solve -49*q + 192 - f = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 229526330 divided by 22?\nAnswer: 10433015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(2*sqrt(968) + sqrt(968) - sqrt(968)).\nAnswer: sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -27380 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*j + 25, -4*b - 69 = 3*j + 26. Let c = -12 - b. Calculate the highest common factor of 99 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/6)\/((9\/(-3))\/6). Which is the closest to 0? (a) w (b) 0.13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3*k + 356901, -h + 2*k + 67147 + 51820 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/4)*u\/(u*u\/u**(-2\/13)*u*u)*u*u assuming u is positive.\nAnswer: u**(-99\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49928 and 5056?\nAnswer: 399424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 413 or 3315\/8?\nAnswer: 3315\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -22?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(3*s + 0*s - 5*s)*(4 + 0 - 4*s + 1) to the form x*s + i + c*s**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-208 - 8 - 63 + 38)*(15 + 5*c - 15) + 2*c + 2*c - 3*c.\nAnswer: 1206*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**6\/o)\/o*o**(1\/2)*(o*o**4)**(-10))**(-1\/9) assuming o is positive.\nAnswer: o**(89\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1750 - 836a1?\nAnswer: -81a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -18 + (9 - (6 - (2 + 2)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825608 is divided by 643?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(9) + 1*sqrt(900)))**2.\nAnswer: 13\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 8:53 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.3, 23\/3, -2, -353\/3 in ascending order.\nAnswer: -353\/3, -2, -1\/3, 0.3, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4924 - -5026. What is the greatest common factor of 340 and z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-10)\/14 + -3. Let p = 1430 + -1428. Which is the closest to -4? (a) l (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396768 is divided by 16528.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377) + -3 - sqrt(1377))**2 + 1 - ((sqrt(17) + 1 + sqrt(17))*1 - (-3 + 1 + sqrt(17))**2).\nAnswer: -60*sqrt(17) + 1407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 881 + 273066.18081.\nAnswer: 273947.18081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.0000662 + 3. Round d to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1466, -2830, -4196, -5564, -6934, -8306?\nAnswer: -9680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - 1) + (-8 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -55 (b) 24\/11 (c) 1\/9 (d) -330\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181 <= 1180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 + -21.6. Let o = l + 22. Which is the closest to 0? (a) 0.4 (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11457 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 1880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4164 + 8333\/2. Sort x, -2569\/2, -5.\nAnswer: -2569\/2, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -173 (b) -3 (c) 1\/297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 94. Let w = d - -11. Solve w*n - 3*c + 15 = 3, 5*n + 19 = 4*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-628)\/80 - 3\/(-12) - 104\/(-71 + 58)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjqqjqqj. Give prob of sequence qjj.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c. Put 4, c, 3 in descending order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v - 357 = 15*v. Let t be -9*(-3)\/4*8. Let f = 272\/5 - t. Which is greater: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.4 + 48.84. Let s = -7.14 + q. What is s rounded to 1 dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5877 and 19206?\nAnswer: 12541518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 158642887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4413 is divided by 294.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8805735 and 33?\nAnswer: 96863085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -304*t**3 + t**2 + 16*t - 17. Let o be u(1). Let i = o + 313. Which is the closest to i? (a) 0.2 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -6) + 13\/((-1040)\/744).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 22 - 3 = -5*r, -5*m = -4*r + 20. Suppose m = -3*w + 2 + 1. Suppose j - 3*a = 46, j + 4*a - 12 + w = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/256 and (-18)\/(-30)*(-585)\/(-2912).\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -122*v + 27090. Give h(222).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2011221102220?\nAnswer: 2011221102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11\/3 + 4. Let a(m) be the second derivative of -v*m**3 + 7*m + 0*m**2 + 0. Determine a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**5 - 290*v**4 - 5050*v**3 - 35860*v**2 - 99945*v - 68850 = 0.\nAnswer: -34, -9, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 382085 - f - 191042 - 191042 - 3*f + 5*f. Suppose -2*n - 10 = -4*z, -z = 3*z. Let c(m) = 6*m - 3. Calculate n*k(y) - c(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.097 * 54.3\nAnswer: 5.2671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13482 divided by 10751.\nAnswer: 13482\/10751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -69, -115, -177, -261?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6598, -9838, -18640, -35788, -64066, -106258?\n\"Answer: -464*i**3 + 3*i**2 - i - 6136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 717 (c) -5 (d) -2\/5 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6314*y + 6454*y + 12*y**3 - 12768*y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.31 + -1.21. Let g = -0.1 + n. What is the second smallest value in 0, -2\/7, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 6*s**2 + 0*s**2 - 6*s**2 - 13*s**2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v = -8. Suppose 91*l - 744 = 97*l. Let p = -120 - l. Put v, p, -18 in descending order.\nAnswer: p, v, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.415 - 4.\nAnswer: -4.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/6*(-81)\/(-18). Let x = -21 - n. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*w + 123*f**2 - 2179*f*w wrt f.\nAnswer: 8*w + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - (0 - 4)) + (34 - (4 - -7))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2080 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249101?\nAnswer: 17, 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1222035 - 2033?\nAnswer: 1220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11*h**2 - 21*h - 22. Let g(r) = 4*r**2 - 7*r - 7. Let l(q) = -8*g(q) + 3*j(q). Suppose 3*m - x - 23 = 0, -56 = -2*m - 2*m - 5*x. Does 5 divide l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -20.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 18. Suppose -5*m - 164 = -5*y + 51, 0 = -m + 2*y - 42. Let q be m\/(-10) - 6\/15. What is the highest common divisor of q and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 3*l - 51*l**2 - 2*l**2 - 33*l**2 as q + b*l**2 + d*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:32 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -70*d**2 + 84*d - 57. Let i(v) = -23*v**2 + 29*v - 20. Let q(t) = 8*i(t) - 3*y(t). Let r(x) = 5*x**2 - 4*x + 2. Calculate 2*q(n) - 11*r(n).\nAnswer: -3*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 (base 13) in base 6?\nAnswer: -3325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 27*y**3 - 9*y**3 - 10*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -17 + 1\/(-3 - -2). Let d = 791 + -3943\/5. What is the common denominator of d and 28\/m*(-1)\/2?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 7*v**2 - 18*v**2 + 0 + 0 to c*v**2 + o + l*v + w*v**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2742128.\nAnswer: 2, 171383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -19*i**7\/7 - 5*i**3\/3 + 14. What is the third derivative of k(z) wrt z?\nAnswer: -2280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 4)*(-m + 1 - 1) + (m - 2*m - m)*(1 + 0 - 2))*(-6*m**2 + 6*m**2 - m**3 - 3*m**4).\nAnswer: -15*m**5 - 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let q(x) = 18902*x. Calculate q(t(b)).\nAnswer: 37804*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 23*o**2 + 39*o + 17. Let u be c(-21). Let j(n) = -7*n**2 + 3*n - 3. Let g(r) = 190*r**2 - 80*r + 80. Give u*j(f) + 3*g(f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3. Let o(c) = -8*c**3 - 4*c**3 + 4*c**3. Give o(x) - 4*u(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -742 and -1?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 3928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 18 = -z - 20, z + 6316*l - 34 = 6321*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 71. Let g be s(-10). Suppose z - 4*i - g = 0, -i = 5*z + i - 361. Calculate the remainder when 726 is divided by z.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 10*u - 46. Let m be x(14). Suppose -6*f - m*f = -144. What is the remainder when 106 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -185144274*w**4 + 106521103.\nAnswer: -740577096*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 268276517.1575 + -243904879.15797. Let y = 24371522 - j. Let o = y + 116. Round o to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008936419 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -98*-1.0422\nAnswer: 102.1356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 9. Suppose -2*g + 8 = -6. Calculate the remainder when g is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7108689395.\nAnswer: 5, 53, 26825243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -33?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23487?\nAnswer: 3, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 5. Let w(d) = 4 - h - 2*d + 0*d. Let r be 0 + -3 - (1*-2 + 1). Determine w(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 132137, 132269, 132497, 132827, 133265, 133817, 134489?\n\"Answer: n**3 + 42*n**2 - n + 132095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(396) + -1 - (3 + -4*sqrt(396)))**2.\nAnswer: -59400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 13*s - 148 = 0. Let z = s + 86. Calculate the lowest common multiple of z and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -801, -6659, -22559, -53523, -104573, -180731?\n\"Answer: -837*a**3 + a**2 - 2*a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (1 - 1))\/1. Let l be 3\/o*(-8)\/(-6). Suppose l*m = 2*d - 14, 3*d + 3*m - 36 = -3. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -1\/10 (c) 17 (d) -1\/44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 1612*r**5\/5 - r**4\/4 - 8297*r - 1481. Find the first derivative of j(l) wrt l.\nAnswer: 6448*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1430.5 + 1430.5006121. Round j to 5 decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.5, -1\/18, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -13. What is the smallest value in -1, 1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(574\/(-252))*(-84)\/(-72).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from cqekv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 1315008?\nAnswer: 1315008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 19. Let c be n(5). Let j = 5 - 21. Let g be 1*8\/(-6)*c\/j. Solve 5*b - g*z = b - 12, b - 5*z = -21 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 9. Let g(w) = -2*w**2 + 67 - p. Let d(m) = 3*m. Give g(d(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-48)\/(-32))\/(2\/(-36)). Which is greater: u or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -246 + 126. Let m be ((-3)\/(-6))\/((-4)\/y). Find the common denominator of -63\/8 and (1281\/(-280))\/((-18)\/m).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 4*v - 30. Let b be q(-8). Suppose -9*y = b*y - 198. What is the greatest common divisor of 54 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6634960 is divided by 939?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxaxyyauuayuu. Give prob of picking 1 u, 2 a, and 1 y.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1892 and 342215\/181 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-30))\/((-6)\/30)*((-260)\/(-2250))\/13.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (-43 - -22 - -13) + 7.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.78969ug to milligrams.\nAnswer: 0.08878969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:54 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.541 and -0.21.\nAnswer: -1.79361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 7*j**2 + 8*j + 9. Determine i(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 7) in base 14?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - 2\/((-16)\/44). Let 1\/2*c - s*c**3 - 1\/4*c**2 + 1\/4 = 0. Calculate c.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b121 (base 12) to base 16\nAnswer: -ece9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5224.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -60 and -180 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1581820\/(-360) - (-1 + 2). Suppose -3*o + 4*o = 4393. Let l = d + o. Calculate the common denominator of l and -89\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 + -70. Which is the closest to -2? (a) j (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14862 and -351?\nAnswer: 15213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15767 + 15762. Sort 1, 0, 22, n in descending order.\nAnswer: 22, 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:24 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orssrpuo. Give prob of sequence uopo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 6*o**2 - 3*o - 8. Suppose 0 = -2*b - 3*y - 2*y - 22, -b + 5*y = -4. What is d(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 398268442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 26, 37, 48, 59?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/4 - (-2)\/8. Suppose -765 = -3*v - 14*v. Suppose -i - 3*c = -v, 4*i = 3*c + 10 + 95. Solve -g*j - j = d - 20, -2*j + i = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9)*k**(-2\/3))\/(k**(-1\/3))**(-26))**(21\/5) assuming k is positive.\nAnswer: k**(-574\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {b: 1, i: 1, m: 2, q: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(190) - ((sqrt(190) + sqrt(190)*1*1 + sqrt(190) - sqrt(190)) + sqrt(190) + sqrt(190) - sqrt(190)))\/(5*(sqrt(10) - sqrt(40))).\nAnswer: 2*sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9002*j - 787. Is w(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106770417 divided by -3?\nAnswer: 35590139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72570 by -2.\nAnswer: 36285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19482 - -19481.999992685. What is h rounded to 7 dps?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 500*m**3*q**2*t**2 + 11*m**3*q**2 - 2*m**3*t**3 + 4*m**2*t**2 + 120646656*m*q**2*t**3 - 2*m*q**2*t - 14*m + 19*t**2 wrt t?\nAnswer: -12*m**3 + 723879936*m*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 6*b + 2. Let j be n(6). Find a, given that -10*a**4 + 2*a**3 - 5*a**4 + 16*a**j - 24*a**3 - 15*a**4 + 8*a = 0.\nAnswer: -1, -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 - (6 - 9))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c38 - -21?\nAnswer: 7c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19) + 2)**2 + (-1 + sqrt(57)\/sqrt(3) - sqrt(19)) - (3 + 1 + -3*sqrt(19)*2)**2.\nAnswer: -682 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-2\/5))*q)**(-2\/9)\/(q\/(q**6*q)*q\/(q**(1\/11)\/q)*q))**36 assuming q is positive.\nAnswer: q**(5856\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25441893*f**3*y + 1104*f**3 + 1946 wrt y.\nAnswer: 25441893*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145307 by 7.\nAnswer: 145307\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 806868.594 seconds to weeks.\nAnswer: 1.334108125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**3 + 5*m**2 - 199*m + 111. Determine u(6).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -336\/11, -5, -0.4, 933, -1.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 4*j**5\/5 + 60*j**4 + 648*j**3 + 2808*j**2 + 5508*j + 431. Factor a(z).\nAnswer: 4*(z + 3)**3*(z + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18810 - 18824. Is d at most as big as -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*v + 23 - 59 = 0, 0 = -4*c + 5*v + 111. Suppose 0 = -7*a + 38 - c. Solve 3*t + a = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 24960*g**3 + 39087072*g**2 - 466352640*g + 1396367424.\nAnswer: 4*(g - 3114)**2*(g - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-1)\/(-3)*6\/72?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n + n)*(141 - 297 + 132).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/2)\/((-3)\/(-2)))\/((-16)\/48).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -773*l**2 + 3*l - 4. Let a be p(-3). Let j = 9632 + -4762. Let b = a + j. What is b rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**2 - t. Let y = 3 + 1. Suppose -b = -4*b - 2*a - 1, 0 = -y*b - 5*a - 6. Let v be u(b). Solve 3*g + 3*w + 30 = 0, 3*g = v*g + 4*w + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 6*s - 5. Let a(m) = m - 1. Let n(x) = 3*x - 15. Let g(h) = -h + 7. Let p(k) = -5*g(k) - 2*n(k). Let l be p(-7). Calculate l*o(q) - 11*a(q).\nAnswer: -2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, -433, -537, -637, -733, -825, -913?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 4012 + 1972. Calculate the highest common divisor of 32 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 2:53 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307041 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -4*s + 10, 2566*f - 2561*f - 3*s = -60 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8*-1)\/((-111)\/296)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*j + 2*j. Let m(a) be the second derivative of -a**4\/12 + 2*a**3 - 3*a**2\/2 - 1253*a. What is m(j)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 2. Let m(a) = -2*a**3 + 12*a**2 - a + 7. What is the lowest common multiple of m(s) and (-5)\/(3\/12*-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.9. Let f = -0.4 + p. Let k = f + -0.5. What is the third smallest value in 0.2, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10}. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/10 (b) 14694\/131 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 135*((-72)\/15)\/(-4). Suppose -4*h + i = -h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16412755*o**2 + 50531241*o wrt o?\nAnswer: 32825510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 2*k**2 + 7*k + 4. Let h(n) = n**2 + 3. Let d be h(3). What is the remainder when p(-5) is divided by 6*(-1)\/(-2) + d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*j - 215 = -611 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/3 + 2 + -9. Let y = 11 + x. Suppose 5*f - 55 = -5*j, -f - 41 = -5*j + y*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28, -2\/5, -0.13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/16*11312\/2222?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*l = 57*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21357 divided by -5\nAnswer: 21357\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 4889900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(28\/(-168))\/((-1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77210000 rounded to the nearest one million?\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0287 from -4863478.665.\nAnswer: -4863478.6937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 269, 276, 285, 296, 309, 324?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4433 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 30*j**2 + 7618*j - 8162. Calculate f(-255).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-1 - (-23 - -28)) + -3 + -34).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 1. Let l be (9\/(-2))\/(3\/4). Let p(d) = -d**2 - 6*d + 6. Calculate l*h(b) + p(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(3*m**2 - 3*m**2 - 2*m**3) - 2*m**3 + m**2 - m**2 + (-1 + 1 + 2*m)*(-2*m**2 + 3*m - 3*m).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - -115)*5 - (-95)\/(-19). Let q = w - 265. Is q a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -2 - ((15 - (-10 + 15)) + -14).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 212*j + 10187. Give r(-48).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from maiimmmaa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/50 - 4*g**4\/15 + 4*g**3\/5 + 408*g**2. Factor s(p).\nAnswer: -2*(p + 6)*(3*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59383506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose -6*t + 781 = -s, s + 653 = 1353*t - 1348*t. Sort -5, n, t.\nAnswer: -5, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*a + 162, a + 2*a + 5*y - 91 = 0. Suppose 2*h = 5*o + a, 2*h = o - 0 + 16. Is (-2951)\/(-26) - (-1 + h\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -580036 and 12232256.3.\nAnswer: 11652220.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 + 0*b**2 + 0*b**2 + (0*b + 0*b - 3*b**2)*(0*b + 0*b - b**2) - 3*b**3 + 3*b**4 + 3*b**3)*(-3*b + 11*b - 2*b).\nAnswer: 42*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 1:20 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3\/9 - 586532*i**2\/9 - 4105577*i\/9 - 7184674\/9 = 0. What is i?\nAnswer: -146626, -7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:47 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (-6 - (-4 - 0\/6)). Let r be 5 + (-64)\/12 + c\/6. Solve -r = 2*n + 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h. Let b be l(1). Suppose b*a - 7*a = 0. Suppose a*m + 6 = -3*m. Put m, -5, 4 in descending order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h - 135 = 48*h. Is h < 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1673954272 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*r**3 - 16*r**2 + 9*r + 30.\nAnswer: -114*r - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -42. Suppose -4*j - l*w = -w - 54, -5*w = -j + 3. Suppose -1 = 7*u + j. Let o(g) = -2*g - 1. What is o(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -4. Suppose 4*o + 5*x - 64 = 0, -2 - 26 = -4*o + b*x. Calculate the highest common divisor of o and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19802581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 24*p + 95. What is u(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1929, 2059, 2189?\nAnswer: 2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, 4, -5, 257 in descending order.\nAnswer: 257, 11, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 469, 1887, 4251, 7561, 11817?\nAnswer: 17019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 900 + -9091\/10. Find the common denominator of 111\/10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 9*c + c. Suppose c = -8*r + 510 + 26. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31376 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (680\/135 - 5)*-6. Which is smaller: -32 or m?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u - 1. Let q(c) = 2*c. Let m(i) = 2*i. Let s(w) = 6*m(w) - 7*q(w). Calculate s(n(y)).\nAnswer: 14*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464140611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 6*q. Let f be z(-5). Suppose 0*o + 3*h = f*o - 252, 0 = 2*h - 2. Let s = 78 - o. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 29393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -266.526 times -0.849\nAnswer: 226.280574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 84819 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 10*c**2 - 4*c + 14. Let r(d) = -d**3 - d - 9. Let h be r(0). What are the prime factors of f(h)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s, s = -4*u - 3*s + 66388. Does 251 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, u: 2, m: 3}. What is prob of picking 2 h and 1 m?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(71\/95 + (-96)\/120)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 smaller than 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 12. Let a = 7 - x. Let z = -6 - -10. Solve -n + 6*n = k - 28, z*n + a = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 19*z + 8. Let r be j(3). Let p = r + -45. Is 18 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1663\/2 + 835. Let r(g) be the first derivative of -5 - p*g**2 - 3\/2*g**4 + 0*g + 0*g**3. Find the second derivative of r(t) wrt t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126125 divided by 25225\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 20*d + 189 = -175 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445181 is divided by 263?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*d = -23, -3*f - d = -5 + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 931194519 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 366 + 342 - 707 + 27*s**2. Suppose 0 = j + 2*t + 1, -2 = 2*j - t - 2*t. Determine z(j).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871589 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 5*w**3\/21 - 1664*w**2\/7 - 1332*w\/7 + 680. Determine n, given that v(n) = 0.\nAnswer: -2\/5, 666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*x - x + 0*x + 11*x + 2 - 2*x**3 wrt x.\nAnswer: -6*x**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -9. Let m = s - 1. What is the second smallest value in m, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222324403 - 4?\nAnswer: -222324412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27507 and 4134.\nAnswer: 715182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/8*((-2)\/(-20))\/((-30)\/(-930))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 24 = -3*a + 7 - 52, -s = -a - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1989271\/4 - -497319. Let -u*s**3 + 2 + 5*s - 1\/2*s**2 = 0. What is s?\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 42029.35?\nAnswer: -21014.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6040?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-4) + 2\/(-3). Let z = 13491\/8 + -3844571\/2280. Let f = z - 1\/38. Which is the closest to i? (a) 1 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -6. Let g = 0.31 - 0.3. Let k = 3.01 - g. Which is the smallest value? (a) -1 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 0.0552.\nAnswer: -5.9448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 963\nAnswer: 4\/963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*h + 2, 3*h + 14 = 2*x + 16. Put x, 0.3, -45\/4 in descending order.\nAnswer: x, 0.3, -45\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(49\/21) + -4. Let q(m) = -m**3 + 5*m**2 - 4*m - 1. Let t be q(4). Let r be b + 16*(2 + t). Solve 4*c - 12 = 5*o, 0*o + 3*o = 5*c - r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 89310056*d + 498517881420196.\nAnswer: 4*(d + 11163757)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*j + 6 - 26*j + 50*j)*(0 + 3 - 2)*(14*j - 6*j + 2*j) to u*j + m*j**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -495 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -215687550 rounded to the nearest 100000?\nAnswer: -215700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 272*m - 19 + 48 - 269*m wrt m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*o = o + 27, 5*q = -3*o + 139. Let g = 27 - q. Let i(h) = 2*h - h + 1 + 3. Let d(u) = -u - 5. What is g*d(z) - 3*i(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25056.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r - y - 27 = 0, -5*r + 35 = -y. Factor -r*z**3 - 2*z**4 + 4*z + 4*z**3 + 4*z**4 - 2.\nAnswer: 2*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1859213.7 months to years.\nAnswer: 154934.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 465 = -5*z, -3*z - a = -0*z - 295. List the prime factors of z.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -50\/13, -173, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m = -53*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 106845760 divided by 5\nAnswer: 21369152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s - 14. Let b be 12\/(-2) + 4 + -4. List the prime factors of k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**5\/20 + 13*h**2\/2 - 25*h - 1. What is o(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1344\/154)\/96)\/(-1 + (-1)\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -g + 93 - 35, -5*g = 4*o - 290. 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: Calculate the smallest common multiple of 41234 and 23709550.\nAnswer: 23709550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1385 divided by 338\nAnswer: 1385\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 - 1011?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4637? (a) -5 (b) -0.1 (c) -14 (d) 81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/5 (b) 3 (c) -2\/119 (d) 30.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*u**2 - 366*u**2 + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18475022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1239 less than 0.1?\nAnswer: -0.0239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-5))\/((-12)\/80). Let r = 317 + h. What are the prime factors of r?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 7. Let r be t(4). Suppose -4*d + 115 = r*w, -4*w = -2*w - 10. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**6\/24 + a**5\/60 - a**4\/12 + a**3\/6 - 10*a**2. Let f be c(1). Suppose -f*u + 32 = 12. Solve -u*o + o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2652)\/2244*4\/26?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - 174*i**5 + 96*i**5 - 5*i**2 + (-i - i + i)*(i**4 - i**3 + i**3) - i + 2*i**5 + i - 2 - 3*i**5 + 2.\nAnswer: -80*i**5 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 7*y**6\/15 - 6*y**2 - 4*y. Find the first derivative of f(j) wrt j.\nAnswer: 56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-9) - 4764\/7065. Let v = 43079\/12560 - n. Calculate the common denominator of v and -55\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m - m)*(7 - 5 - 1) + (-2 + 2 - 2)*(3*m + m - 2*m) - m - 1 + 1 + m - m - m + 1 + 2*m - 1 - 5*m + m + 3*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2 - 2076*m - 538722 = 0. Calculate m.\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5635292 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**39\/(q**(2\/7)*q*q) assuming q is positive.\nAnswer: q**(257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:14 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/5, 0.46, 1368, -4 in ascending order.\nAnswer: -4, -2\/5, 0.1, 0.46, 1368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 4. Let v be r(7). Suppose -v*o = 4*g - 5*g - 9, 2*o = -2*g - 2. Solve o*z = 5*z - h + 7, 0 = -z + h - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 46 - 2 = 0. Sort 3, 5, -4, h.\nAnswer: -4, 3, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -117. Suppose j = -m + 4*m - 3, -u + m - 7 = 0. Does 8 divide ((27\/6)\/3)\/(u\/(-224))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169865003?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(52) + sqrt(4212) + 2*sqrt(4212))\/(sqrt(20)\/(sqrt(5)*-1)) + -4 + sqrt(65)\/(sqrt(20)\/sqrt(4)) + (sqrt(13)*2*4)**2.\nAnswer: -28*sqrt(13) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-28)\/6 + 4)\/(2\/(-2355)).\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -73, -112, -151?\n\"Answer: -39*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201379 is divided by 109.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 2*u - 2*y, -78 = -u + 3*u - 3*y. Let x = u - -68. Suppose -3*i + 7 = -x. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 3212?\nAnswer: -3206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - (-12)\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/5 - 42*f**3\/5 - 262*f**2\/5 - 462*f\/5 = 0. What is f?\nAnswer: -11, -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 2 - 6)*(x + 0*x + 0*x) to h + g*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) -162\/5 (c) -3.5 (d) 0.2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3961 and 765.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 5, -2, 0, -2\/9, 50 in descending order.\nAnswer: 50, 6, 5, 1, 0, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/(w*w**(1\/5)))\/(w**(1\/3)\/(w\/(w*w*w**8*w*w))) assuming w is positive.\nAnswer: w**(-278\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -36 + 396. Suppose -154 = -3*o - 2*p - 2*p, -5*o = -p - 272. Let h = c + o. Is 42 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.9, 0.04, 20, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 30*h**2 - 26*h + 5. What is f(29)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6100579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 45*g**2 + 3*g + 3. Does 45 divide r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-190470)\/(-2940) + (-3)\/(-14). Solve -f*z + 68*z = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-8) - 385\/440.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4223668 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((2 - 3)*2). Suppose j*m = 4*m. Suppose -4*k + m*k = -48. What is the remainder when 34 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47135 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 585812*l**2*w**3 + 2*l**2*w - 91939*l*w - 2*w**3 - 5*w**2 wrt l.\nAnswer: 1171624*w**3 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 3. Let h(z) = 2*z + 7. Let k(r) = -6*h(r) - 14*j(r). Let d(c) be the second derivative of -c**4 + 149*c. Calculate d(k(m)).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -17*o**2 - 432*o - 2511. Calculate f(-16).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*j + 275*t - 274*t, 5*t + 15 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -3. Let y = 12 - u. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 14 + 6 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2781*l - 129. List the prime factors of n(-3).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, e: 6, j: 1}. What is prob of sequence ii?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + ((-24)\/180)\/(2\/(-24)). Which is the nearest to k? (a) -5 (b) -0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1 - 2 + 2*l. Let j = -246 + 240. Calculate i(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)*(-3 - 0). Suppose y - 60 = -l*y. Let h = -1118 + 1146. What is the remainder when h is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 6) + (1 - 34). Let x = -44 - k. What is x rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from {a: 4, l: 1, c: 3, y: 4, s: 1}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380603?\nAnswer: 41, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -196, 1562.\nAnswer: -196, -1, 2, 1562","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1498, -3013, -4538, -6073, -7618, -9173, -10738?\nAnswer: -12313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:23 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18 - 5) + 4 + 486\/(-30). Which is the nearest to 1\/3? (a) -1\/2 (b) 2.4 (c) z (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*h**3 - 9*h**3 - 40*h**3)*(-3 + 2*h + 3) to k*h**4 + p + t*h**2 + q*h + v*h**3 and give k.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/120 + 11*a**3\/6 - 2*a**2. Let p(r) be the first derivative of w(r). Let t(b) = -2*b - 4*b + 2*b. Give t(p(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -1415 - 467. What are the prime factors of o\/(-8) - (-21)\/28?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -284?\nAnswer: 28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.47 + 38.608. Round g to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) -0.03 (c) -0.1 (d) -102\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706 is divided by 3 + 14\/8*196 - (7 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-2) - 14\/8)*16. Let q be (-614)\/(-10) - (-24)\/z. What is the highest common factor of 305 and q?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from xqxhhuxqqq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (108\/45)\/((-6)\/(-40)). Calculate the highest common factor of 64 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.403*-180.8.\nAnswer: 253.6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/12391 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 21*w**2 - 49*w - 674. Determine i(-21).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (-2896)\/(-728) - 2. Let a = p + 269\/182. Solve -2*y - a*y**2 - 1\/2 = 0 for y.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**(-2\/9)\/(q**5*q**10) assuming q is positive.\nAnswer: q**(-671\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 b when four letters picked without replacement from {t: 4, b: 5, c: 3}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4\/6 - 7*f**3\/6 + 5*f**2\/2 - 3*f\/2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 37. Let u = 535 - 3209\/6. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 273*q**2 + 6*q - 269*q**2 + 2*q.\nAnswer: 4*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/5 + 14*s\/5 - 12\/5 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-45)\/(-9))\/(-5))\/(43\/1032).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 31*z**2 + 13\/420*z**6 + 1\/1176*z**8 - 1\/6*z**4 + 1\/105*z**7 - 8\/21*z**3 + 0 + 1\/210*z**5 + 0*z. Solve y(h) = 0 for h.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 96, -1, 14, -5, -40 in descending order.\nAnswer: 96, 14, 3, -1, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5279, -42300, -142777, -338438, -661011, -1142224?\nAnswer: -1813805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(48)\/sqrt(6)) + 6*sqrt(18) - ((sqrt(2) - -1*(sqrt(2) + sqrt(72)))*-3 + 4)**2.\nAnswer: -1168 + 211*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 13*y - 64 = 0, -34 + 32 = 2*r - y - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11815*m - 11761*m = -810 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7576 + -6?\nAnswer: 7570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1, 0.2, 6\/11 in descending order.\nAnswer: 6\/11, 0.2, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4. Let m be 5\/(x\/(-2) - 1). Which is the closest to -0.1? (a) m (b) -2\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 10*l**2 - 7*l - 10. Let f be z(9). Let k(t) = t**3 - 5*t**2 - 26*t + 16. Let u be k(f). Solve u = 4*y + 1 - 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.75780112 to the nearest integer.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 13 + 15 = 4*w, -w + m + 6 = 0. Let o = -6 + 9. Calculate the lowest common multiple of w and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {w: 1, x: 1, o: 1, h: 1, p: 5}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -115a (base 14) to base 16\nAnswer: -bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 348149 to the power of 1\/2, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)*-5*-3 - (-1*sqrt(24)\/sqrt(6) + sqrt(4) + sqrt(4)))\/((sqrt(192) - -2*(4*sqrt(192) + sqrt(192)))\/sqrt(6)).\nAnswer: 7*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0\/u*u*u**(-6))\/(u**(-3)\/u**(-8)))\/(((u\/(u**(-3\/2)\/u))\/u**(1\/9))\/((((u**4\/u)\/u)\/u)\/(u\/u**(-5)))) assuming u is positive.\nAnswer: u**(-331\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 5568.\nAnswer: -1\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7927829, -7927858, -7927887, -7927916?\nAnswer: -7927945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -47.999812. Round x to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 2:29 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.05, -3, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6570552 is divided by 1642632?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -26*q. Let k(d) be the third derivative of -1\/12*d**4 + 0 + 0*d**3 - d + 16*d**2. What is k(r(b))?\nAnswer: 52*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -53d4e0 + -30?\nAnswer: -53d510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 1.528, -0.3, -0.1.\nAnswer: -37, -0.3, -0.1, 1.528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190)*1 + sqrt(190))*-3*2)\/(sqrt(90) + (sqrt(90) - -1*sqrt(90)*-5) + sqrt(90) - sqrt(90)))**2.\nAnswer: 304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 11. Let q(n) = n - 12. Let j be q(11). Let m be ((-12)\/2)\/((-1)\/j). Let g be z(m). Is g > -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 2*s, 0 = 3*n - 1 - 2. Suppose 8*z - 38 - 42 = s. Solve 3*j = -12, 0 = -2*b - 3*j - z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42393524?\nAnswer: 2, 10598381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 50 - 80. Solve -z*g = 3*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 10*z**2 - 8*z + 13. Let y be g(-9). Suppose y*p - 8*p = 4. Let v be (p - 0)*17\/(-1). What is the highest common factor of 153 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025706863 rounded to four decimal places?\nAnswer: 0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbbf. What is prob of sequence bfb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (42 + 7 - 68).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 286, 1176, 2658, 4732, 7398, 10656?\n\"Answer: 296*s**2 + 2*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20226565*f**3 - f**2 + 28937115*f wrt f?\nAnswer: 121359390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 8*x**7\/63 + 2848*x**6\/45 - 2858*x**5\/15 + 2146*x**4\/9 - 2863*x**3\/18 + 179*x**2\/3 + 6526*x. Determine s so that o(s) = 0.\nAnswer: -358, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434869279.\nAnswer: 13, 151, 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**2 + 11*p + 24. Let a be 6 - 3 - (1 + (57 - 0)). Let c(n) = -125*n**2 + 155*n + 335. Let w(y) = a*r(y) + 4*c(y). Factor w(q).\nAnswer: -5*(q - 4)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 245, -5, 21, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/4 - 1*(-1 + 0). Let q be (-2*1 - -2)\/2. Is q < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000010 (base 2) to base 13\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -53*m**3\/6 + 20*m - 1. Let s(i) = 2*i. What is v(s(y))?\nAnswer: -106*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {o: 13, a: 2, i: 3}?\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 17*j + 12. Calculate y(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7046.418nm?\nAnswer: 0.007046418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -7*l**2\/2 + 5*l - 2. Suppose 9*g + 368 = -7*g. Let i = -28 - g. Let x(r) = 4*r - 3. Give i*x(d) - 3*j(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 663828 and 40071072.\nAnswer: 440781792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 + 10*t - 7. Is y(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10525643 - 31?\nAnswer: 10525612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42.37 + 21.\nAnswer: -21.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 8*j - 6. Let l be r(-10). Let n = l - -33. What is the highest common factor of n and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 - -228. Suppose 45005 = 5*j + u*z, -j - 9025 = -2*j + 4*z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1949 >= 1936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -3. Suppose -z + 0*z + 13 = -3*r, -2*r + 5*z = 0. Let b = r - s. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3 = -3*s. Let m be 136\/(-2)*(-2 + s). Suppose 4*a - 64 = m. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdszrd. Give prob of picking 1 z, 1 r, 1 d, and 1 s.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 179379990 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 o(t) be the third derivative of -2*t**2 - 8 + 17\/15*t**5 + 0*t + 0*t**4 - 32\/3*t**3. What is the derivative of o(c) wrt c?\nAnswer: 136*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 477*z**3 - z - 191*z**2 - 3*z + 477*z**3 - 2*z - 955*z**3 to r*z**3 + v + u*z**2 + p*z and give u.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026782649?\nAnswer: 3, 1091, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -49*i**3 - 2*i**2 + 2*i - 2. Let x(r) = -6222*r**3 - 255*r**2 + 255*r - 255. What is -255*o(v) + 2*x(v)?\nAnswer: 51*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 4. Let k = h + -6. Let y(t) = t**3 + 5*t**2 + 3*t - 2. Let u(o) = 2*o**3 + 11*o**2 + 7*o - 5. Let n(s) = -2*u(s) + 5*y(s). Give n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43837\/11 - 15945\/4. What is the common denominator of z and -21\/110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3769 = 18*w + 119. Let t be 174\/8 - 9\/(w\/6). Is t smaller than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175*a + 12*a**5 - 79332*a**4 - 4*a + 79310*a**4 + 4 wrt a.\nAnswer: 240*a**3 - 264*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.376 - -0.624. Let p = -2 - -2.15. Which is the smallest value? (a) -5 (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8 - 4*m + m + m. Let k be x(-8). What are the prime factors of (-3)\/2*k\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1025, 1190, 1283, 1292, 1205, 1010, 695, 248?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 47*k - 22*k - 23*k. Let v(d) = -9*d - 7. Let m(b) = 5*b + 4. Let r(a) = -7*m(a) - 4*v(a). What is r(t(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + y**2)*(6 - 1 - 1) - 2*y**2 + y**2 + 3*y**2 + y + (3 - 4 + 0)*(2*y**2 - y**2 + 6*y**2).\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + 6*(5 + sqrt(117) + 0 - (-3 + sqrt(117) + 0))*-5)**2.\nAnswer: 55223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k + 5*k**2)*(12*k - 2580 + 2580)*(7*k - 22*k - 10*k).\nAnswer: -1500*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*i + 52038 = -119*i. What are the prime factors of i?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmj when three letters picked without replacement from mnijjmjeenjm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 = -5*i - 9, -2*x + 3*i = -6. Suppose -4*y + x = 2*h - 52, -78 = -5*h + 3*y. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2757, 3, -4, 633 in descending order.\nAnswer: 2757, 633, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 2390*j + 14520.\nAnswer: -5*(j - 484)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1442)\/(-5253))\/((-312)\/884)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 373 = -26*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1562 and -2.1.\nAnswer: -0.32802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 828, 3182, 7090, 12558, 19592, 28198, 38382?\nAnswer: 50150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 4 - (2 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40805 times 319?\nAnswer: 13016795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035098616 rounded to 7 decimal places?\nAnswer: 0.0000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 37*h + 23865 = -36*h, 5*o + 3*h - 39779 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 2*v - 36, 158*y - 162*y - 38 - 22 = -4*v for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**4\/12 - x**3\/6 + 35*x. What is d(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 h when four letters picked without replacement from {m: 1, g: 1, h: 5, t: 1, x: 5, i: 4}.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18 + 2 = 0. Solve 0 = -h + m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - ((-146580)\/(-375))\/(-14).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -8856, 0.2, 4, 0 in ascending order.\nAnswer: -8856, -1\/6, 0, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 12:08 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4259892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (2 + 2 + 0 - (-24 + 42) - -3)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-5)\/v)\/v*v\/(v\/(v*v**(6\/5)))*(v*v*v*v**5*v*v)\/(v*v**(1\/9)))**(4\/7))**(-3\/37) assuming v is positive.\nAnswer: v**(-916\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3981296824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.5 (b) 3\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/7 or 0?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + r + 4. Suppose 7*n = 3*n. Let c be l(n). Let i be c\/11*9\/(-6). Is -2 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(2\/3)))**21)**(-10\/3)\/((d**(-4)\/((d*d\/(d*d**(-1\/12)))\/d))\/((d\/d**1)\/d)**(4\/21)) assuming d is positive.\nAnswer: d**(-1633\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 less than -26403?\nAnswer: -26400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*g + 146794 - 14314. Does 12 divide ((-20)\/(-40))\/(-3*2\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17 - (-20 - 1834\/(-49)). What is the second smallest value in 0.2, g, 9, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*v**5 - 110*v**4 + 140*v**3 - 40*v**2.\nAnswer: 5*v**2*(v - 2)**2*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -210016442?\nAnswer: -210016434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-30) + 8\/((-840)\/2821). Let s be (1 - 2\/5)\/(v\/(-90)). Solve -2*q - s - 12 = 4*f, -f - q = 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -14\/19*t**3 - 22\/19*t**4 + 22\/19*t**2 + 8\/19*t**5 + 6\/19*t + 0 = 0.\nAnswer: -1, -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = 14*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053727 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 0.047?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eveoyozzzztovoyoz. Give prob of picking 2 e, 1 t, and 1 y.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -157*c - 57. Let w be b(-5). Let d = w - 525. Calculate the remainder when d is divided by 64.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 245243321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**17))**(1\/69)\/(g**(-3\/22)*g\/g**25))**(-6) assuming g is positive.\nAnswer: g**(-36287\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1709 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137835*a = -3*o - 137837*a - 14 - 43, o - 2*a = -19 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 340103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(612) - 1*sqrt(612)) - (((sqrt(204)*-2 - sqrt(204))*-6)\/(sqrt(72)\/(sqrt(6)*2)))**2.\nAnswer: -22029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 16 + 29 = 0. Let t be ((-18)\/i)\/(12\/30). Let a be t\/(-9) - (8\/(-12) - -1). Solve -5*h - 2*f - 12 = 12, a = -5*h + 5*f - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 1, p: 3, x: 1, r: 4, c: 3}. Give prob of sequence rp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 15 - 7*t + 71 + 5.\nAnswer: -2*t + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/3)*i)\/i)**(-50)\/(i**(1\/6)\/i**(2\/13)))\/(i*i*(i**(-1\/13)\/i)\/i*i\/(i*i**(1\/2)*i*i))**(1\/7) assuming i is positive.\nAnswer: i**(-4453\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 5*i**2 - 5*i - 7. Let a be y(-5). Suppose -a = -4*s - 2*b, 14 = -3*s + 8*b - 4*b. Solve s*z = -0 + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z - 20, 39 = -5*b - z. Let h(k) = 2*k + 8. Let u be h(-3). Suppose -2*g = 2*t + 20 + 2, -u*g - 25 = 3*t. Is g greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -761 - -759. Let w = 0 - -3. Let u = 2.5 - w. What is the nearest to g in -1, u, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) -3 (c) 5 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(2 - 130\/2). Let t = -85 + 170. Let o be (-1)\/(-2) - t\/(-10). Calculate the highest common factor of h and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87.0163 - -87. Round t to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x + 3. Let g be z(3). Let d(v) = -v + 1. Let j(p) = -p**3 - 16*p**2 - 10*p - 8. Let l(h) = g*d(h) - j(h). Calculate l(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 4. Suppose 5*t + 16 = -14. Let b be h(t). List the prime factors of ((-66)\/(-12))\/(b\/8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 2*f - 7*f)*(f - f - 2*f**4 + (-4 + 4 - f**2)*(-4*f**2 + 4*f**2 + 2*f**2)).\nAnswer: 52*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s - 4*s + 4*s)*(0 + 3 - 2) + 12 - 16 + 3 + 8*s - 3039 + 3039 + 96*s)*(-2*s - 2*s**2 + 2*s).\nAnswer: -206*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -990, -5, 2\/9, -1468?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/11 - (582\/(-66) + 6). Solve n*d + 1 = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 2*q + 3. Let v be g(2). Solve -v*j = -n - 8, 3*n + 6 = 3*j - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168941 + 168955. Let t be (17\/3)\/((-2)\/(-6)). Suppose 3*w - t = -5. Solve 8 = -4*s + w*f, 0 = s - 2*f - 2*f + n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 15) to base 14.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -236*x**2 + 5*x - 6. Let i be l(-6). Let d be 3 + 0 + -14 - -17430. Let w = d + i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - -2) + 0)*4\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 13*m**2 + 19*m + 3. Let x be a(13). Suppose -x = -0*k - 4*k - 3*d, 3*k - 194 = d. Let p = k + -32. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 79*y**5\/30 + 5*y**4\/4 + y**3\/6 + 2*y**2 + 2*y. Is z(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115332 + 3626?\nAnswer: 121160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/9186 and 61\/114735.\nAnswer: 351318570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 8*t**2 - 18*t + 20. Let u be g(-10). Suppose u = -9*a - 23 + 95. Suppose 16*h - 17*h = -2. Calculate the highest common divisor of a and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/630870 and 3\/247.\nAnswer: 155824890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*q - 9604 = 64*q - 94*q + 63*q for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 25 = -2*i, 2*v = -23*i + 28*i + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -1\/118 (c) -0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.0192.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.022 in 247, 2\/15, -0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*w - 3*l + 9, -5*w = -3*l - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 20466605*l + 11078. Let u(n) = 5542*n + 3. Calculate -11078*u(k) + 3*v(k).\nAnswer: 5539*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:35 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -486868 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = q + 3, q = -6*q - 3*g - 61 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 5) + (20 - -17) + -32.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 - 38*v**2\/5 + 44*v\/5 + 16.\nAnswer: -2*(v - 2)*(v + 1)*(v + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 6*x**2 - 6. Let f = -1394 - -1389. Determine w(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -5. Let k be 4\/(-4) - (0\/(6 + -3))\/(-2). What is the closest to 0.04 in -0.3, 4, b, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -93, -207, -321?\n\"Answer: -114*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 + -2. Let m = 154.7 - 155. Sort p, 1, m in ascending order.\nAnswer: m, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00126943 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**4 + 3*l**3 + 3*l**2 - 3*l. Let u(r) = -11*r**4 + 5*r**3 + 5*r**2 - 6*r. Let j(f) = 5*b(f) - 3*u(f). Find the second derivative of j(z) wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222121 is divided by 96?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1955 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -39*m + 12*m - 6 + 14*m + 12*m. What is r(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6033 less than -35.06?\nAnswer: 5997.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 14060 = j, -c + 5063 + 8972 = j. Calculate the greatest common divisor of j and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*2\/(-3)*(-379)\/(-2).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Let o be -15 + -1 + w + -4. Let x = 44 + o. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeuv when four letters picked without replacement from uevvevve?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*o, -4*w - 7 = -2*o + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 30793983*s + 30793983*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 424, 444, 472, 508, 552, 604?\n\"Answer: 4*x**2 + 8*x + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**2\/3 + 154*c\/9 + 26\/9 = 0?\nAnswer: -1\/6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -28210 smaller than -169253\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(21)\/sqrt(3)) - (sqrt(17) + (sqrt(17) - 2*sqrt(17)))*-1)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123000 and 2844?\nAnswer: 29151000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 120\/270 + 2530\/18. Solve 0 = 27*l + r + 21 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 1. Let o(m) = -8*m + 1. Let q be 24\/((-192)\/40) + 4. Determine q*o(s) - 2*a(s).\nAnswer: 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10 + 3 + w**2 - 2*w + 3*w. Suppose -5*h = -120*h - 54*h + 27*h. Determine q(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**3 + 10*x**2 + 14*x + 17. Let z(k) be the first derivative of -k**4\/2 - k**2\/2 - k + 46. Let b(f) = y(f) + 4*z(f). Determine b(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/4 - 21*d\/4 = 0 for d.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + p**4 + 5*p - p + p**4 + (-4*p - 2*p + 0*p)*(3*p**2 + p**3 - 3*p**2).\nAnswer: -4*p**4 + 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 - 249. Let m be (-3 + 95\/7 - -1) + -3. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 14*j**2 - j + 27. Let m be i(14). Solve -x - 3*v - m = v, x - 19 = 4*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*u = 437 - 1482 + 4843 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176928*v**2 - 3*v**3 - v**3 - 88518*v**2 - 88410*v**2 + 28*v.\nAnswer: -4*v**3 + 28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 4. Let r be b(3). Let w = -14 + r. What is the highest common divisor of w and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 7*a**2 + a + 4. What are the prime factors of b(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/2187 and 2\/1089?\nAnswer: 264627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1063*n**5 + 258*n - 1?\nAnswer: -21260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.385436 millennia to decades.\nAnswer: 238.5436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5\/2 + 3*n**4\/2 + 26*n**3 + 30*n**2 + 8*n = 0. What is n?\nAnswer: -2, -1, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753417309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(25)*2 + sqrt(25)))\/(2*sqrt(405)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2 - 2. Let u(a) = a**2 + 8*a - 9. Let j be u(-11). Suppose -j + 9 = -5*d. What is the remainder when d is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 4*a**2 - 7*a + 7. Let x be r(5). Let u = 7 + x. Solve -u*o + 2 = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 16 = 5*w, -4*r - 12 = -7*r. Find the second derivative of -8*s**w - 94*s + 113*s - 7*s**4 wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + 6*f + 5. Give k(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6 = -4*r, 6*y - 9 = 3*r + 3*y. Let f be r\/(-2) + 245\/14. Suppose 4*g + 2*o = -g + 9, -3*o - f = -3*g. Solve -g*m + 4 = -v, 5*v + m + 16 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from pppcpppppppppppppppp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10885 + -3112. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(112) + 2*(sqrt(112) - (1*sqrt(112) + sqrt(112))) + sqrt(448)*-2 + -4)**2.\nAnswer: 320*sqrt(7) + 5632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + w = 13, -j - 2*w = -4*j + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39321710 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 16599936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/30 + 1825376\/480?\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11328040 to the nearest ten thousand.\nAnswer: -11330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.45 + 4.05. Let o = x + -3.04. Let i = o + -0.26. What is the second biggest value in -1, -2, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:52 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20490911 and 10773.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) 0.3 (c) -12 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -98*n**2 + 88*n - 2. Calculate u(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/9 + 80*c**2\/9 - 122*c\/9 - 380\/3 = 0?\nAnswer: -3, 5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -2. Suppose 152 = b*i - n, -3*i + 92 = -3*n + 2*n. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/(-9) - 2 - (-7 + 15). Which is the biggest value? (a) 0.3 (b) -0.3 (c) -2\/3 (d) z (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - 0.08. Let b = 5216 - 5216. What is the closest to b in -0.3, 2\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 10. Let c be u(10). Suppose 7 = -c*n + n. Suppose -2*b = 4*a - 118, 2*a = -4*b + n*a + 275. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-3))\/(2\/6). Let p = d - 5. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 + 231 = 28*z. Find the third derivative of -z*q**3 + 172*q**3 - 2*q**2 - 12*q**2 wrt q.\nAnswer: 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-88)\/99)\/(2\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + q + 1, 7*q - 5*q + 2 = 0. Determine w so that u - 1\/2*w**2 + w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 2*p + 22*p**3 + 33*p**3 - 7.\nAnswer: 55*p**3 + 2*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*y = -17232, -41*y + 21563 = 5*j - 43*y. Is 77 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p + 30. Let f be d(-10). Let w be (-171)\/(-12) - f\/40. Solve -w = 2*t + t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*j - 895*j**3 - 924*j + 891*j**3 + 1696*j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -5*z - 32, -9*z - 36 = -9*z + 4*z + 2*t for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 0 - 2*t + 0. Let k(h) be the first derivative of h**3\/3 - 3*h**2\/2 - 3*h - 1. Let n(x) = x + 1. Let u(d) = k(d) + 3*n(d). What is u(r(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 k, and 2 s when four letters picked without replacement from {s: 4, h: 4, k: 3, x: 1, y: 2}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose -2*d - 9 = 3*n - 0*d, -d + 3 = 0. Let p be 2\/n - (-27)\/5. Solve y = c - p*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(102\/8)\/((-15)\/(-8)). Suppose -4*l - j - 44 = -0*l, -4*j + s = -5*l. Which is smaller: l or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v*v**1)**22)**(-3\/16))**(-36))**(-8) assuming v is positive.\nAnswer: v**(-3564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/9)*r*r**3)**(11\/3)\/(r**4\/r**2*(r\/((r\/((r*(r**(-2\/7)\/r)\/r)\/r)*r)\/r))**31) assuming r is positive.\nAnswer: r**(15709\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = -5*q, -w - 16 = -3*w - 2*q. Is 2*452\/w - 3\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195725, 391473, 587217, 782957, 978693?\nAnswer: 1174425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 21*a**2 + 448*a + 2755. Calculate r(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29438 by 1.\nAnswer: -29438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -25.973. Let d = 89.64 + -84.667. Let o = d - h. Sort 2\/13, o, 0.3 in descending order.\nAnswer: o, 0.3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 59*z**4 + 5*z**3 + 88*z**4 - 6*z - 30*z**4 to o + u*z**4 + t*z + j*z**3 + i*z**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 - 86*i**3 + 24 + 89*i**3 to y + w*i**2 + f*i**3 + k*i and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*g + 13 + 133*g - 18 - 78*g.\nAnswer: -15*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9342)\/(-432) + -21)*4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.6\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*h - 19 = 0, 5*q = -h - 3*h + 30. Let u(m) = -q + 9*m + 3 + 252999*m**2 + 9. Let l be u(10). Round l to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105092080.\nAnswer: 2, 5, 1313651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l + 8. Suppose -4*a + 116 = 3*h + 4, -2*h + 4*a + 88 = 0. Suppose h*z = 39*z + l. Solve -6*j + 4*j = -z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 - -114 - (37 + -74 - (-5 + 1))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 + 4*r**2 - 7*r. Let u be w(2). Let o = u + -23. What is the common denominator of (3 - -1) + 469\/28 + o and 15\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) 3\/17 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1482, 9, -20 in decreasing order.\nAnswer: 1482, 9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413493 divided by 931.\nAnswer: 413493\/931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10983.\nAnswer: 3, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 10472*z**2 - 1487164*z - 1497632.\nAnswer: 4*(z - 136)*(z + 1)*(z + 2753)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4*7\/140*65\/1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s - 43. Let b be z(7). What is the greatest common factor of 143 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570657.\nAnswer: 3, 223, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7826?\nAnswer: 7826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 - 15976*z + 15974 = 0. What is z?\nAnswer: 1, 7987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 3*h**2 + 6*h + 6. Let z be j(-4). Let g(l) = -l**3 - 2*l**2 + 2*l + 3. Let b be g(z). Let d = 14 - b. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*h + 5*p, -4*h + 28 = -p - 3*p. Suppose -h*w + w + 4 = 0. Suppose -3*u = 2*c + 4, u - w*c - 4 = -4*u. Solve 5*m + 5 = -u*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727145.5m to nanometers.\nAnswer: 727145500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**2\/2 + 10. Let c(w) = 65*w - 33. Let a(d) = -6*d + 3. Let p(j) = -44*a(j) - 4*c(j). What is i(p(l))?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1460917 = 4*k. Let w = k - -2060933. Suppose -4*p - w = -2*z + 3*z, 0 = 3*p + 12. Round z to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o. Let n(x) = -9*x - 24. Let w be n(-4). Let b(p) = 4*p**2 - 17*p**2 + w*p**2. Determine a(b(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 96, -2816 in descending order.\nAnswer: 96, -3, -4, -2816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 114, 169, 224?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4477854 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -32. Suppose o*w = -4*m - 10, w + 3*m + 14 = -m. Suppose -y + w*k = -385, k = -3*y - 4*k + 1177. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(sqrt(80)*4 + sqrt(80)) + -1 + (sqrt(80) - (4*(-1*sqrt(80) - sqrt(80)))**2).\nAnswer: -5121 + 124*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/30348 and 85\/1124.\nAnswer: 30348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -9\/50, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 3. Let p(x) = 21*x**2 + 15*x - 6. Calculate -2*h(u) + p(u).\nAnswer: 19*u**2 + 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -38 (b) -3 (c) 2\/5 (d) -2 (e) 2 (f) -2\/209 (g) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:52 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 18*c**2 + 7*c + 14. Let p be g(18). Suppose -3*b + 13*b - p = 0. Calculate the remainder when 67 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417\/2 + 4\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11811.58 millimeters to nanometers.\nAnswer: 11811580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7621*((-3)\/2 + 12\/24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 147324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*v - 25, -2*l + 7 = 5*v + 2*l. What is the third derivative of -2*q**2 - 5*q**3 + 2*q**3 + 5*q**v - 9*q**2 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -206.\nAnswer: 9\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 640938.35.\nAnswer: -640939.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10)*-4)\/((-3)\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 275 = -605 - 198. Suppose m - 2*x = 5*m + 294, 2*m + 153 = x. Let l = m - v. Solve -l*z = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.319 + 18.3162. Let a = 12 + r. Round a to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -184*v + 53*v**5 + 184*v + (-2*v + 2*v + v**2)*(v**3 + 4*v**2 - 4*v**2) + 2*v**5 + 3*v**5 - 4*v**5 - 2*v**5 + 2*v**5 - v**5.\nAnswer: 54*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000030667806 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, s: 14}. Give prob of picking 2 s.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a factor of 23009760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3324953, -6649896, -9974839, -13299782, -16624725, -19949668?\nAnswer: -23274611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(5 + 1 + sqrt(891)) + 1 + (1*(sqrt(891) + -1) - sqrt(891) - (-2 + 1 + sqrt(891))**2)).\nAnswer: 45*sqrt(11) + 4550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 2, b: 3, x: 1, y: 3, z: 4}. What is prob of picking 1 t, 2 o, and 1 z?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((3 - 0) + 1)\/(-2). Let x be (32\/(-12))\/(q + (-15)\/(-9)). Let r(g) = -g**2 + 9*g + 9. Give r(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90797 + -59528. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 2\/15*r**6 + 0*r**5 + 0*r**4 - 2*r + 0 - 6*r**2 + 0*r**3. Differentiate m(c) wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 11964309?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(343)*-1)**2.\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 634? (a) 1\/15 (b) 34 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r = 5*w + 161, -13*w + 235*r - 240*r + 20 + 14 + 46 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-2\/5)*u))*u)\/u**(-1))\/(u**8\/u**(-7)) assuming u is positive.\nAnswer: u**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y - 6*y**3 + y**2 - 2*y**3 + 4*y**3 + 5*y as t + n*y**3 + c*y + o*y**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1750, 4, 0.03, 1\/19?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10.56? (a) 4.25 (b) 0.2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-30) - (-6580745)\/(-75525)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a*a*a**18))\/a))**(-4)*a\/(a*a**(-5\/3))*a*a\/a**15)**(-2\/5) assuming a is positive.\nAnswer: a**(572\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 32 = 5*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -101100100?\nAnswer: 101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 15*a + 40. Let w = 68 - 85. Let p be l(w). Let h(z) = 92*z - 1. Is h(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-536 - -24)*6\/(-12) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123645 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -18*w**4 + 2*w**3 + w**2 - 364. Let r(g) = -g**4 - 2*g**3 + g**2. Let p(q) = d(q) + r(q). Differentiate p(i) with respect to i.\nAnswer: -76*i**3 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 + 1 - 222*o + 251*o as g*o + y and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39a (base 16) to base 6.\nAnswer: -4134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3254 - 3251.9456. Round x to 2 dps.\nAnswer: 2.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1 - sqrt(17))**2 - (-4*sqrt(1700) + sqrt(17)).\nAnswer: 18 + 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/5, -2, -0.056, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*r + 19159 = 504*r + 231*r + 146*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n + 1. Let w be a(9). Let m(r) = -4 - 5 + w*r**3 - 5*r**2 - 44*r**3 + 11*r. Is m(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 0*m = 2*m - 6, 0 = 3*b + 5*m + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d - 1252. Let r be q(63). Let s(a) be the second derivative of -r*a**3 - 11*a + 0 + 96*a**2 + 1\/4*a**4. Let s(x) = 0. Calculate x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/((-13405)\/(-766)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h\/h**(-1\/3)))\/(h**(1\/7)*h) assuming h is positive.\nAnswer: h**(-73\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(288) - (sqrt(288) + sqrt(288)*3)) + -5)**2.\nAnswer: 72*sqrt(2) + 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(162) + 1)**2 + -6*(sqrt(162) + 1 + sqrt(162) + sqrt(162) + sqrt(162)) - (sqrt(162) - (-4*(sqrt(162) - 2*sqrt(162)) - sqrt(162)))**2*1.\nAnswer: -495 - 198*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b + 29404 = 29978 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + a + 1. Let p(j) = 5*j**2 - 6*j - 369. Give 6*g(k) + p(k).\nAnswer: -k**2 - 363","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (3\/(-7) - 228\/(-42)). Let y = -2 - -4. Solve -j + v = k, -j = y*j + 2*k - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:14 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 620129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44733312 divided by -174\nAnswer: -257088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 44*u**2 + 195*u + 81. Let z = -206 + 254. What is the remainder when r(z) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/1*-2 - 292\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, b: 1, l: 5, u: 1, v: 4}. Give prob of sequence vvll.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 155*u - 144. Let l(f) be the second derivative of 13*f**3\/2 - 18*f**2 - 7*f + 7. Let r(x) = -9*l(x) + 2*o(x). What is the derivative of r(y) wrt y?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**11*l)**5*l**(-4\/25)\/l*l**(-19) assuming l is positive.\nAnswer: l**(1246\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/15 + 1762*q**4\/15 - 193026*q**3\/5 + 28012746*q**2\/5 - 301174848*q - 306816120 = 0.\nAnswer: -1, 195, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3290 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17111*b**3*r**2 + 31089*b**3 + 470*b**2 - 5576*b*r**3 - 7 wrt r?\nAnswer: -34222*b**3*r - 16728*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -6 - (-5 + 5 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 6*b - 5*b)*(4*b - 4*b + 5*b**3) - 8*b**4 + 10*b**4 - 7*b**4.\nAnswer: -30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 1. Let w(v) = 1. Let t(a) = a - 8. Suppose -q - 30 = -6*q. Let x be t(q). Give x*y(n) - 2*w(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 114\/54 + (-2)\/18. Solve 2*k + q*a = 4*a - 2, 3*a = k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/60*(-80)\/(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 21. Let b = -20 + t. What is the smallest value in b, 4, -29, 0.3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Differentiate -91*i + 5*i**2 + 91*i - f wrt i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 13 - (0 + 16 - 14) - -12 - 106.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6978 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 39*i**2 - 73*i - 47. Calculate z(37).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 63*v - 61*v - 21*v**4 + 39*v**4 - 19*v**4 + 2*v**2 in the form o*v**2 + m + d*v**3 + k*v**4 + h*v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/2 - d**3\/2 - 3*d**2\/2 + 6*d. Let x be p(3). What is the greatest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 109*u**5 - 453*u**3 + 453*u**3 + (3*u**4 - u**4 - u**4)*(-4*u + u + u) + 15*u**5 + 28*u**5 - 9*u**5.\nAnswer: 141*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 - -17. Let y = -243.999722 + i. Round y to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 14 - -12 - (-4 + 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**6\/120 + 7*t**3\/6 - 8*t**2. Find the first derivative of j(u) wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o + 2. Which is the third smallest value? (a) 0.5 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(228) - -2*sqrt(228))*3)\/((sqrt(72) + (2*sqrt(72) + sqrt(72) + sqrt(72) - sqrt(72))*-5)\/(sqrt(96)\/sqrt(4))).\nAnswer: -270*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-40))\/((-1560)\/225 + (0 - -7))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/35, -4, -163, 1?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*h - 42543 - 2212 = 35831 for h.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005386 to 5 decimal places.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + -24. Let j = 64.9235103 + -0.9235613. Let s = j + h. What is s rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21427 + -67?\nAnswer: 21370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 - 2*x - 3. Let m(i) = -i - 1. Let z(n) = -3*n - 3. Let l(p) = -4*m(p) + z(p). What is 4*l(s) + r(s)?\nAnswer: 3*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f = 44*f + 36 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*i + 6 - 6)*(-1 - 2 + 2) + 0*i - 4*i + i)*(7*i + 62 + 3*i - 60 + (3 + 1 - 2)*(2 - 2*i - 2)).\nAnswer: -60*i**2 - 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w - 206 - 291 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0748018 and 0.03.\nAnswer: -0.002244054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -25 and -655061.5019.\nAnswer: -655086.5019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54347.1 months?\nAnswer: 452.8925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1017044 * -2.\nAnswer: -0.2034088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 11:33 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1140039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j. Let x(u) = -u**2 + 9*u - 12. Let d be x(8). Let b = 4 + d. Let a(m) = -6*m - m**2 + 6*m + b*m. Calculate a(l(i)).\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 4728\nAnswer: 2\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 + 1920*v**4 - 15502*v**3 - 13452*v**2 + 96896*v + 92928 = 0 for v.\nAnswer: -968, -2, -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*q + 2*s, 2*s + 35 - 37 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*f**3 - 438*f**3 - 424*f**3 - 531*f**3 - 666*f**3 + 2915*f**3.\nAnswer: 330*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/15 - 149394224*a\/15 + 2789829270570272\/15.\nAnswer: 2*(a - 37348556)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1\/3, -1\/20776, 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571*a + 537*a + 403240 = 0. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 2. Suppose d + 3*d = -m + 7, 0 = m - 3*d. Suppose -o = -m*o + 6. Let y be q(o). What is the nearest to 2 in -1, y, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 163599.1 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1771776 and 576.\nAnswer: 1771776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 5*z + 8. Give y(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 5*f + 15. Suppose -96 = -f*q - 6. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(3\/(-18)))\/1. Suppose n + 3*b = 1, 2*n = v*n + 2*b + 6. Sort 4, n, 2\/5 in ascending order.\nAnswer: n, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1565*r - 26 - 30 - 20 + 76 + (1 - 1 - 2)*(r - 1 + 1).\nAnswer: -1567*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 23 (b) -0.12 (c) 0.3 (d) 32\/5 (e) -3\/4 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66011 and 9884?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*a - 38 + 38 = 0. Solve 2*o - n = 4, -o + n + 4 = -a*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.0068.\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6*(408\/(-600))\/17\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 20594 (c) -0.5 (d) 2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685620 plus 390199030?\nAnswer: 390884650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**5 + 454*w**4 - 2*w**2 + 109*w wrt w.\nAnswer: 120*w**2 + 10896*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241*g**2 - 240*g - 2905*g**4 - 160*g + 240*g**2 + 1 wrt g.\nAnswer: -69720*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*c. Factor c*q**2 + 0*q**2 + 10*q + 4 - 7*q**2 - 9*q**2.\nAnswer: -2*(q - 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 36873832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00079036 rounded to 6 dps?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 16*o + 5063. Calculate r(-226).\nAnswer: 1447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n - 8423 + 8119 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38834 - 0?\nAnswer: -38834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41201312 (base 6) to base 13.\nAnswer: -32519c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p + 32. Determine j(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {d: 3, t: 2, m: 1, b: 2, w: 3, c: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 9*z + 72. Let m be (-6)\/z - (-5)\/3. Factor -n**m + 0*n**2 - 8*n**4 - 3*n**2 - 7*n + 20*n**3 - n.\nAnswer: -4*n*(n - 2)*(n - 1)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 3*g. Suppose 7*l + 28 = -7*l. Let j be l\/12 - 62\/(-12). Give w(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:18 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623517?\nAnswer: 13, 201809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (10 + 2 + 2). Let t = 13 + w. Differentiate 4*b**3 - 139*b + 139*b + t with respect to b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262734.\nAnswer: 2, 11, 57397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1023, 4, 13.\nAnswer: 4, 13, 1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12253707563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f - 10?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 - 15*i**4 + 5764*i**3 - 19277153*i**2 wrt i?\nAnswer: -60*i**2 - 360*i + 34584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434884 by -10.\nAnswer: 217442\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**2 + 243*g = 0.\nAnswer: 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(72) + 4) + -3 + sqrt(72) + (sqrt(72) - sqrt(72)*1) + -1 + -1*sqrt(72))**2.\nAnswer: 144*sqrt(2) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -32276?\nAnswer: 32276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 95, 357, 871, 1721, 2991, 4765?\n\"Answer: 14*t**3 - 4*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93930)\/3410 - 12\/(-22) - -56?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98.6 + 93.6. Let g = -0.2 + -0.3. Which is the second smallest value? (a) g (b) 1\/3 (c) 3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*b, 18*l = 31*l + 5*b + 325 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2531, -5060, -7593, -10130, -12671, -15216?\n\"Answer: -2*y**2 - 2523*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 444 - 300. What is the units digit of 1\/3*-124*t\/(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-6) - -4)*4\/2. What is the nearest to 1\/4 in -2\/7, -3, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 938 - 574. Let c = d + -364.07. Is 37 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-27))\/(1\/(15\/(-10)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 4, -421, 6875 in decreasing order.\nAnswer: 6875, 4, 0, -4, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15 - -20)\/((-2)\/(-4)). What is the highest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2139 and 20806456.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 3720631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2. Let h(m) = 194*m + 209*m + 6*m**2 - 394*m. What is h(j) + 4*v(j)?\nAnswer: 2*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/198*(-1122)\/306)\/(7\/90)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833726 is divided by 579?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -16947\nAnswer: -16946.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (6 - (2 + 9) - -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10492008 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -1 - (55 - -3)) + -4 + 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3, 0.2 in descending order.\nAnswer: 3, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**5 + 268*h - 8*h**2 + 255*h - 554*h wrt h.\nAnswer: -40*h**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 - -93. Suppose 4*g - 12 = l. Suppose 5*h - 73 = -3*v + 346, 2*v + 322 = g*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. Let f be 2*1\/4 - 15\/(-6). Solve -f*u = -c - 6 + 17, 0 = 4*u + g*c + 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/4*(-12)\/(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206077989*y + 186782020 wrt y.\nAnswer: 206077989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, k: 8}. What is prob of sequence kkk?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -9728 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**4 + 170*a**3 + 5*a**2 - 142*a - 127790514 with respect to a.\nAnswer: 8*a**3 + 510*a**2 + 10*a - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 + 266. Let a = -183 + v. What is the smallest value in a, 4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p - 3. Let v(u) be the second derivative of -u**3 + 9*u + 0 - 3\/2*u**2. Let l = -68 - -73. Determine l*a(i) - 6*v(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(5\/((63\/12)\/(84\/144)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 39. Let n(v) = 2*v**2 - 2*v + 4. Calculate the least common multiple of 11 and n(d).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 11:18 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a**2 + 3*a**2 - 4*a**2)*(2 - 1 - 3) - 3 + 3 + 9*a**2)*(4*a - 4*a - a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 2*i - 5*g - 133 + 213, 772 = -3*i - 2*i + 22*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15245 (base 15) in base 10?\nAnswer: -68015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16513 or -11\/7?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(192) - ((sqrt(192) - sqrt(192)*1 - sqrt(192)) + -2)) + 5 - (6*(4 + -2*sqrt(3)) - 2*(2 + sqrt(3)*-1))**2.\nAnswer: -689 + 416*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/18 and ((-6)\/(-1584))\/((-8)\/(-1608))?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-756)\/(-2709)*86\/4)\/(102\/(-4))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**3*u**2*v - 188*p**2*u*v**2 - 3*u**2*v**2 - u**2 + 3*u*v**2 wrt p?\nAnswer: 3*p**2*u**2*v - 376*p*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 213 = -4*r + 578, -2*r = -12. What is the greatest common divisor of 22 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Suppose 0 = 5*w - 4*s + 18 - c, -2*w - s = -4. Suppose w = -3*z + 3 + 3. Solve -z*v - 10 = t, 3*t = 5*v - 8 + 33 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*o + 644 = -14 + 118 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(833)*2 + -3 - ((sqrt(153) + (sqrt(153)*-1 - sqrt(153)))\/sqrt(9) + (-3 + sqrt(272) - sqrt(272)))**2.\nAnswer: -34 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2 - 6*b**2 - 152*b + b**3 + 143*b - 1. Determine t(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2459740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v + 62. Let y be i(6). Suppose -2*x + 5*x + 11180 = 5*z, -4*x = y*z + 14924. What is x rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.4088504 and -7241.\nAnswer: -7245.4088504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 - (-3 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/12, -0.05, 3\/8, -2\/557, 0.9, 0.5, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 - 8 + 9*i**3 - 7*i**3 + 4*i**2 - 2*i**4 to the form k + p*i + c*i**2 + s*i**3 + x*i**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 5:39 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.721751 centimeters to meters.\nAnswer: 0.03721751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -310254 (base 10) to base 13\nAnswer: -ab2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7614*j = 7631*j - 15355*j - 1374 - 3576 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 6391509.\nAnswer: -6391509.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4116000 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 245*r - 79. Is d(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11619611 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = 3*c. Let g be -2 - c\/((-9)\/(-6)). Is g at least as big as -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 2*n**3\/3 - n**2 - n - 1. Let v be 3 - (-16)\/(-2 - 2). Give t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 - 4*a**2)*((-3*a - a + 3*a)*(-1 - 2 + 0) + a + 0*a + 0*a)*(5*a + 0*a - 2*a)*(-14 + 12 - 5).\nAnswer: 336*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -253.\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957 > 3361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - (-2 + 0))\/4)\/((-675)\/(-7425)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*s - 0*s - 4*w, 2*w - 14 = -2*s. Factor f**2 + 62 - f - 56 - s*f**2.\nAnswer: -(f - 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 14 - 18. Let b = o - -10. Let k be 4\/b - (-52)\/(-8). Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + -3 + 2 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/14504 and -55\/444.\nAnswer: 43512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -148*q. Let m(z) = 3*z**2. Give m(g(u)).\nAnswer: 65712*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -42 (c) -1\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**2\/2 - 11. Let z(a) = 2*a. Calculate i(z(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.8 + -25. Which is the third smallest value? (a) 5 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181957.316 + -182947. Let g = x + 906.68491. Let t = -83 - g. What is t rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000030753609 rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*r + 14 = 1, l = -2*r + 3. Suppose 0 = i - l + 6. Does 8 divide (1 + i)\/(1\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -21*m**3 + 7*m**2 + 22*m + 22. Let g be i(-9). Round g to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*z = -89*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*n - 35, -n - 4*i - 4 = -3*n. Let m = 148 + -152. What is the tens digit of -1 + m\/n*140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11*q + 7. Let m be p(5). Let i = m + 51. Calculate the greatest common divisor of 15 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3642 - 698 = 184*d. Solve -i - 2 - 6 = 2*h, 4*i - 4*h - d = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 458\/85389 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2474327?\nAnswer: 31, 79817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/(10\/(-10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 183 = 72*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.452266m to nanometers.\nAnswer: 452266000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15) + (-942)\/105. Let i = z + 152\/21. Let q be (5\/50)\/((-2)\/(-8)). Which is the biggest value? (a) q (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9127999*t + t**2 + t**2 - 9127999*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 23*h + 8*h**2 - 29*h + 21 + 45*h. Let p be l(4). Calculate the greatest common divisor of p and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*i + 75, 3*i - 28 = y + 25. Suppose -i = -3*d - 2*b + 11, -28 = -2*d + b. Find the second derivative of d - 4*j**4 - 12 + 0*j - 3*j wrt j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*y - 28 = 40 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxq when three letters picked without replacement from {c: 1, i: 1, x: 1, f: 1, q: 2, o: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/(-4))\/5 + 3\/6. Suppose -y*r = -5*r + 48. Calculate the lowest common multiple of r and 3\/((18\/60)\/((-11)\/(-5))).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*l + 12*l + 21*l + 372 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 9:23 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4)*w)**5\/(w**10*w**5) assuming w is positive.\nAnswer: w**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -304 - -306. Which is bigger: f or -84?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28815900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28931494987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, u: 1, h: 1, f: 1, p: 9}. What is prob of picking 2 p and 1 r?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130332112330 (base 4) to base 11.\nAnswer: 4318637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35\/(-21) + 1241\/3?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = 0, c = -3*c + 3*r + 18. Let j be (-1 + (-1 - -10))*2\/4. Suppose -7*x - j = -5*x. Put -1, c, x in decreasing order.\nAnswer: c, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1568)\/(-28))\/((36\/(-63))\/(2\/(-7)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - 2 - (-712 + 723)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*b - 5*r + 10, 4*r - 16 = 0. Suppose 64 = 5*i + 19. Let o(c) = 8*c + b*c - i*c. Let f(g) = 9*g. Calculate o(f(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -1 + -6 + 6 - -481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -1\/2*v**3 - 22*v + 1\/24*v**4 - 2*v**2 + 0. Determine f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 7:22 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 672311, 672323, 672335, 672347, 672359?\n\"Answer: 12*q + 672299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 55*n**2 - 44*n - 44. Let z(m) = m**2 - m - 1. What is q(j) - 44*z(j)?\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*g**2 - 41*g**2 + 37*g**2 - 95*g**2 + 30*g**2 + 154.\nAnswer: -192*g**2 + 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-6) + 4595\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 4248?\nAnswer: 361080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 7*i + 4. Let w be z(-7). Suppose -2*u + w*k - 4 = -2, -u - 5*k = -6. Which is the nearest to u? (a) 2 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -199 + 208. Let r be 1113\/12 + f\/36. Is 93 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*b**3 + 443*b**2 + 417*b**3 - 145*b**3 - 134*b**3 to the form p + j*b + i*b**2 + g*b**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1596 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(-10)\/3*(-2364)\/(-1970)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d - 3. Let b be t(-3). Suppose -3*q + 2*q = u + 5, 0 = 3*u + b. Put -1, -4, q in descending order.\nAnswer: q, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (96\/(-60))\/(2\/(-115))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04 and 4221436276?\nAnswer: 4221436276.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -39. Let x = d - 13.05. What is the biggest value in x, -4, 1\/2, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403 - 377. What is the remainder when h is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 8*o + 14, -5*t + 4705*o - 61 = 4709*o for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35\/62521 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1382792787 - -7.313.\nAnswer: -1382792779.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 705 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18778 (base 14) to base 16.\nAnswer: f196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.91 - -0.2. Let w = -0.29 + o. Let p = -7142\/17 - -420. What is the second smallest value in p, 0.2, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 6. Let v(l) = -65*l + 63*l + 35 - 72 + 50. Give -13*h(g) + 6*v(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:03 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 11:29 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (277 + 195 + 125 + (-2 + 0 + 4)*(2 + 3 - 4) + 4 - 1 - 2)*(0*o**3 - o**3 - o**3).\nAnswer: -1200*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/(-16) - (-2)\/(-4). Suppose -5*j - 8 = y*g - 48, -2*g = 3*j - 22. Let a be (-4)\/12*9\/(-1). Solve -b = -2*n + 9, -j*n + 4 = a*b + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Let o(a) = -a**3 + 2*a + 2. Let t be o(3). Let f = -17 - t. What is the smallest value in c, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15348 and 60?\nAnswer: 76740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 834026 - 834100 = 5*n, 4*n - 3*o + 57 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3542, -6315, -9100, -11903, -14730?\nAnswer: -17587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 - 151. Solve -2*i + 20 = l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - i - 2. Let v be w(3). Suppose -4*z + 0*z - 28 = -v*g, -5*g + 51 = -z. Is -6 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 111\/10 - 37\/10*r**4 + 107\/5*r**2 - 1\/10*r**5 - 293\/10*r + 3\/5*r**3 = 0?\nAnswer: -37, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 3076 = -3260 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197098555?\nAnswer: 5, 113, 199, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8693210.\nAnswer: 2, 5, 869321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 + -37. Suppose f + 4*f = g. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 496\/7 - 71. Let a = -403\/7 + 3613\/63. What is the closest to a in -3\/8, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (231\/11 - 61)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21733.\nAnswer: 103, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-80)\/(-3))\/(((-60)\/(-162))\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 10*t**3 - 9*t**3 + 3*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -6 - 10 - (3 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/(-310)*3\/(-9)*-4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 4*m**2 - 3*m - 2. Let f be j(-4). Suppose -4*o + 23 = -3*r, 3*o + 3*r - 1 = -f. Let w(k) = k**2 + 5*k + 2*k**o - 3 - 2*k**2. Calculate w(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 9. Let j(n) = n**2 + 13 + 50 - 13 - n + o. Is j(0) 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 {i: 1, f: 1, q: 1, u: 2, c: 1, e: 1}. What is prob of sequence fe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -r - 4*d + 35, 0 = -3*r + 4*d - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15755 is divided by 789?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q = 20*q - 44*q. Solve -9*u + 145 - 154 = q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14038932 divided by -18644\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 7 + 1. Let r be w\/3 + 8\/(-3). What is the units digit of r\/(-3) - 57\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 8.01. Let x = 4.01 + s. Let v = 9 + -4. Put x, v, -2 in decreasing order.\nAnswer: v, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*s - 126 = 0, -m + 2*s + 54 = m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*f - 4*p, -174*p + 177*p = -2*f + 6. Sort f, -510, -1 in increasing order.\nAnswer: -510, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/21*(-11165)\/(-17545)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-29 + -26 - -125)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.994 - 3.006. Let i(c) = c**2 + 2*c - 6. Let f be i(-5). Let h be 2\/8 - f\/20. What is the fourth smallest value in h, x, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:15 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8199 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 14 = 2*q, 246*q = 244*q + 4*d + 14 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*y - 7 = 0, -3*p + 2*y = -7*p + 8. Let j = -0.38 + 0.08. Sort j, -2\/5, p in ascending order.\nAnswer: -2\/5, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -20*q - 85. Let r be l(-12). Let t be 96\/21 - (4 - r\/35). Solve -5*a + 15 = t*c, 0 = -2*a + 6*a - 5*c + 33 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22394 + 22396. Let b(h) be the second derivative of -7*h**4\/4 - 5*h**3\/6 - 13*h**2\/2 + h. Let r(u) = 5*u**2 + u + 3. Give w*b(l) + 9*r(l).\nAnswer: 3*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-458)\/(-2) + 4 - (-6 + 10). Let k = t + -209. Solve -10*o + 15*o = k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose 4*v + 3 = -f + 9, 0 = -x*f - 4*v. Suppose 29*o = 284 - 255. Sort -1, o, f.\nAnswer: f, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/3 + 0)\/(2\/(-5442)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 1, w: 1}. Give prob of picking 1 n, 1 g, and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -9719, -0.5, 4, -2, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582*n**4\/5 - 6398*n**3\/5 + 3716*n**2 - 16168*n\/5 - 112\/5 = 0. What is n?\nAnswer: -2\/291, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 10.3, 407, -2\/9, 1?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - ((-8 - -3) + 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -w + 25, 379*o - 375*o = 4*w - 64 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -756437\/60 - -12607. Find the common denominator of h and 22\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10983417, -21966881, -32950347, -43933815, -54917285?\n\"Answer: -b**2 - 10983461*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*i - 3*i. What is the remainder when i is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 31. What is the nearest to 0.2 in -0.2, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*2370801\nAnswer: -6164082.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2443, -5577, -8713, -11851, -14991, -18133, -21277?\nAnswer: -24423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 24*x + 61. Let t be m(-3). Sort 140, -1, t, 0.\nAnswer: t, -1, 0, 140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12536 = 2*u + 580, 0 = 5*u - n - 29926. List the prime factors of u.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 5*z + 11 = -2*g, 0 = -2*g + 4*z + 10. Let n be (3*g)\/((-4)\/4). Suppose -55 = -n*o - 0*o + 2*m, -3*m = -2*o + 35. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*c - 1 = -2*c, -3*l - c + 10 = -5*l + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 94, 132, 170, 208, 246?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1113*a**3 + 2*a + 60?\nAnswer: 6678*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from {o: 7, j: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3 = 0, -269*x - 1 - 4 = -h - 270*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83963511?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -15 + 6. Let q = 9 - 7. What is the nearest to q in 4, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4677.91833 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1438 divided by 2\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x**4 - 149*x**3 - 1001*x**2 + 163*x + 1021. Let s(a) = 4*a**4 + 99*a**3 + 667*a**2 - 109*a - 681. Let d(r) = -5*i(r) - 7*s(r). Solve d(m) = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -394 + 2145. Does 103 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5625027 divided by -1.\nAnswer: -5625027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.05, 4\/9, -3\/4, 0, 0.8?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -769*l**3*o**2 - 3*l**3 - 4*l*o**2*q**3 - o*q**3 - 59*q**3 wrt o?\nAnswer: -1538*l**3 - 8*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -1 - 1. Let z be 1\/k - (-134)\/(-4). Does 11 divide z\/(-3 - (-6)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3 + 38683*k**2 + 77362*k = 0. Calculate k.\nAnswer: -38681, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/34089 - -170441\/68178. Suppose -5 - 2 = -p + 3*k, 4*p + 2*k + 28 = 0. Let b = -61\/105 + -3\/35. Put b, i, p, 2\/3 in decreasing order.\nAnswer: i, 2\/3, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42695699 a multiple of 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 15190084.1 to the nearest 10000.\nAnswer: 15190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9) + 60\/(-9). Suppose -7*t + 6 = -36. What are the prime factors of (-22)\/m - (-2)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 4, 1798\/15, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 708 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7916, 7921, 7924, 7925, 7924?\nAnswer: 7921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 6*g + 18. Let k be 1\/(-3)*-3*1. Suppose 3*r - 12 = -2*j, 3*r + k = -5. Let d be f(j). Let z(q) = -q**2 - 8*q + 5. Calculate z(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 0 - -20)*17. Suppose 0 = 16*i - 15*i - o. Suppose -i = -0*u - 4*u. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -48*u**4 - 4*u**3 - 52*u**2. Let f(x) = 143*x**4 + 11*x**3 + 155*x**2. Let g(w) = -4*f(w) - 11*j(w). Find the third derivative of g(a) wrt a.\nAnswer: -1056*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37354787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 96 + -26 + -24\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*t - 3, 3*t + 1 + 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4272\/32*16\/3.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2. Let g(u) = -2*u**2 - 4*u + 3. Let i(t) = g(t) - l(t). Let f(o) = -o**2 + 5*o - 3. Let b be f(5). Determine i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 503*f**3 + 32*f**2 - 148*f + 4. Is z(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-39)\/52 - 6\/(-8). Let o(i) be the third derivative of 0*i - 5\/24*i**4 + i**3 + 1\/60*i**5 + a + i**2. What is o(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:15 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -245, -218, -191?\n\"Answer: 27*q - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-630)\/(-1890) + 238\/2466.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -66, -99, -132, -165?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*x + g, -6*x + 2*x - 5*g + 53 = 0. Let w(n) = -4*n**2 - x*n**2 + 12*n**2. Let m(z) = 3*z**2. Give m(w(a)).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14495 and 364.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -0.7. Let v = -5.2 + t. Let o = 2 + v. Which is bigger: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let i(j) = -j**2 + 91*j. Calculate q(i(t)).\nAnswer: -2*t**2 + 182*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*j + 45*j + 72*j - 189*j + 1.\nAnswer: -28*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 897, -451, 12 in ascending order.\nAnswer: -451, 12, 897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y + 120175 + 19*y - 240345 - 1397*y**2 + 120170.\nAnswer: -1397*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 111 - 19 = 4*c, 5*n - 212 = -c. Let s(x) = x**2 - 16. Let j be s(0). Let i = j + n. What is the remainder when i is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llq when three letters picked without replacement from {l: 12, q: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -12825\nAnswer: 1\/12825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*l**3\/4 + 6178381*l**2\/4 - 36704234748*l + 564680169.\nAnswer: -(l - 47526)**2*(65*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1)\/(-1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyymymyyyyymyyiymm. What is prob of picking 2 y and 1 m?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -693 divided by -33\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -43.\nAnswer: -9\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47303.51 litres to millilitres.\nAnswer: 47303510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k - 2*k + k + (-1 - 3 + 3)*(k - 2 + 2) - k - 2*k + 4*k - 2 + 2 - 2*k)*(-2 + 1 + 3) as z + q*k and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-60)*-5 + (-9 - (-260)\/30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 764 * 526.842.\nAnswer: 402507.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 + -139. Let n = 50.4 - l. What is n rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 29435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -85.4. Let h = l - 8.5999923. 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: Suppose -5*f + 3*m + 344 + 280 = 0, 5*f + 3*m - 606 = 0. Let c = -89 + f. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38429.678 to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 4*k**2 + 0*k + 1\/66*k**3 + 1\/660*k**5 + 0 + 1\/132*k**4. Factor d(l).\nAnswer: (l + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.841192 to 2 dps.\nAnswer: 17.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*z + 207 = -72*z. Let m = 67 + z. Let t be -3*(-2)\/m + 3. Solve 2*r + 0*r - 4 = t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**3 - 344 + 3*q**2 + 180 + 2*q + 172 + (-1 - 2 + 1)*(-q**3 + 0*q**3 + 2*q**3) to the form o*q**2 + x + l*q**3 + v*q and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -16\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 6862395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -20, -42, -72, -110, -156?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6350581 divided by -6?\nAnswer: 6350581\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + -1.93. Which is the biggest value? (a) -3 (b) 0.02 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 182.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/4 - 66\/(-308)*98\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:13 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7801 is divided by 1242?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422 + 2*j + 232*j**3 - 837 + 417.\nAnswer: 232*j**3 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o - 3*c - 7 = 0, 13 = 5*o + 3*c. Solve -2*h + o*h + f = 10, -3*h + f = -2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and 978 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4509 + 4565. Calculate the greatest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40282346 and 13943889?\nAnswer: 362541114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 7, 2, 472 in decreasing order.\nAnswer: 472, 20, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4 + 44*w**3 - 42*w**2 = 0.\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 188942.5 to the nearest 100.\nAnswer: 188900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 60\/1937 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let q(z) = z. Let m(k) = -5*j(k) - 7*q(k). What is the remainder when 2 is divided by m(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1080\/13? (a) 36 (b) 13 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 13. Let l = -1283.22 + 1280.22. Put 0.3, l, b in increasing order.\nAnswer: l, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r + 3. Let k be s(2). Is (69\/2)\/(k\/(-70)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6 - 3*x + 4*x**2 - 12*x + 10 - 4*x + 3*x. Let a(q) = q**2 - 5*q + 5. Let d be 4 - -2 - 3 - -13. Give d*a(v) - 5*c(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 less than -0.086?\nAnswer: -195.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43\/30 - 21\/10. Let k = -3.9 + 4. Let u = -52 - -51. Which is the second biggest value? (a) u (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three sevenths of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46872, 93759, 140680, 187623, 234576, 281527, 328464, 375375?\nAnswer: 422248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. Suppose 0 = 3*r + a - 22. What is the tens digit of ((-4)\/r)\/(1\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 46. Let l(n) = -8*n + 6. Let a be l(5). Let x = h + a. What is the greatest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79 - 5*v + 32 + 26 wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/(81\/36))\/(6\/(-22221))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -7\/3, 1003 in decreasing order.\nAnswer: 1003, 1\/3, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163\/41 + -1875\/451. Which is bigger: -82 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2300 + -30132213?\nAnswer: -30123313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2754 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l**3 - 3*l**2 - 4*l - 3. Calculate the remainder when p(-2) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35298, 35292, 35282, 35268, 35250, 35228, 35202?\nAnswer: 35172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*x = -4, 17 + 0 = -5*j + x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15000399, -30000795, -45001193, -60001593?\n\"Answer: -f**2 - 15000393*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -28. Sort 2, y, 5.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/1200 and 1\/8323800?\nAnswer: 16647600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22246.456 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-60)\/(-25))\/((-2)\/10). Factor -48*i**2 - 55*i**2 + 101*i**p + 2*i.\nAnswer: -2*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 5 + 11*f**2 + 1 - f**4 - 10*f**2 + f**3 in the form z + k*f + h*f**2 + t*f**3 + m*f**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2278\/9 - 18083\/72. Calculate the common denominator of j and 121\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 - 3*z**4 - 25*z**3 - 25*z**2 + 24*z + 28 = 0.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 8*x + 47. Is 30 a factor of b(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**50)**(2\/29)\/(a**(4\/7)*a\/((a*a**5\/a)\/a)*(a\/(a**(-2\/7)\/a)*a)**(1\/9)) assuming a is positive.\nAnswer: a**(10070\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 3*f. Suppose -f*p + 3 = -9. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -84.5. Let k = n + -81.99806. What is k rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 - 145. Let d(x) = -x**2. Calculate d(o(f)).\nAnswer: -9*f**4 + 870*f**2 - 21025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - ((11 - -11) + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 7. Suppose -11 = -4*y + 5*z + 2, -5 = -3*y - z. Suppose 3*w = 0, -y*i - 4*w - 12 - 2 = 0. Let g be n(i). Solve -3*o - 3 = -g*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 180*i**2 - 3. Let u(z) = -100*z**2. Let h(g) = 33*g**2. Let s(o) = 3*h(o) + u(o). Give s(a(q)).\nAnswer: -129600*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 22 = -5*a, 4908*r - 55 = 4903*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c + 5. Let a(w) = -3*w + 3. Let r(j) = 5*a(j) - 3*u(j). Suppose -m = 1 - 0. Calculate r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycyb when four letters picked without replacement from {y: 6, c: 1, b: 11}.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*6 + (sqrt(13) - (sqrt(13) + (2*sqrt(325) - sqrt(13))**2)) + -5 + (sqrt(1053) - (4 + (sqrt(1053)*-3 - sqrt(1053))))**2.\nAnswer: -330*sqrt(13) + 25283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 39. Let t = 501 - 503. What is the closest to t in 1.4, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -0.4 (c) 10 (d) 0.06 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1462*s**2 - 2. Let i be m(1). Suppose 2*u = -3*u + i. Suppose -y**2 + u*y - 4*y**2 - 277*y = 0. Calculate y.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17701247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.484 - 24.8. Let i = 0.516 + n. What is the biggest value in 6\/7, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60 - -4)\/(-8) + 4\/(-2). Let w be (j\/10 - 0)*0. Solve 3*l - 10 - 5 = w, 3*k = 4*l - 29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7560 = -3*s - 41*s - 10*s. What is the highest common factor of s and 900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 + 4648*n\/5 + 13953\/5.\nAnswer: -(n - 4651)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46751900 and 102854180?\nAnswer: 514270900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 23*k**2 - 8*k + 4. Let d be f(-23). Let n = d - 186. Let -3*g - 9\/4 + g**3 - 1\/4*g**4 + 1\/2*g**n = 0. What is g?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**5\/300 + i**4\/60 - i**2\/2 - 4*i. Let w(x) be the first derivative of s(x). Let w(m) = 0. Calculate m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -0.08, 0, -5\/4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206*i**3 - 11*i**2 - 2039 wrt i.\nAnswer: -618*i**2 - 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725 (base 8) in base 9?\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22298 is divided by 3986?\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708 equal to 1701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1952, -1, 5, 2, -41.\nAnswer: -1952, -41, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 0*h - 12, -4*w - 4 = 7*h + 85 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 5. Let u be m(-5). Is u < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 4*c**2 + (-c + 0*c + 2*c)*(0*c - c - c) - 2*c**2 + 2*c**2 - c**2 - 2*c**2 - 5*c**2 + 5*c**2 + (-4*c + 3*c - c)*(2*c - 2*c + 2*c).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 8:09 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 5*o - 5*o)*(-2*o**3 + 0 + 0) + 5*o**5 - 2*o**5 + 0*o**5 + 2*o**5 - 2*o**2 + 2*o**2.\nAnswer: 7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 22*h - 23*h + 68, 4*h - 278 = -87*n + 44*n + 45*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3323101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1890)\/(-20)*3*62\/(-651)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/27))\/((b*b\/(b**(-2\/31)\/b)*b*b)\/b))\/((b*b\/b**(-3\/23))\/(b**(-2\/11)\/b)))**(-2\/15) assuming b is positive.\nAnswer: b**(2716388\/3176415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5676230 and -25\/5764.\nAnswer: 124877060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(189\/12) + (-3)\/(-7). Let g be (-2212)\/(-168) - f\/6 - 1. Solve -s = -2*p + 7*p + g, -5*p + 4*s = 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (10 - 4)) + -1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/(a\/(a**(5\/3)\/a))))\/((a\/a**(-2\/9))\/a))\/(a*a**(-5)*a*a**(3\/7)))\/(a**(-3\/2)\/(a*(a**2\/a)\/a*a)*(a**1\/a)**(3\/2)) assuming a is positive.\nAnswer: a**(905\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 361*p**5\/5 + 1293*p - 1071. Differentiate v(u) wrt u.\nAnswer: 1444*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 611 + -606. Let w(y) be the first derivative of y**4\/4 - 4*y**3\/3 - 2*y**2 - 7*y - 1. Determine w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*j**2 - 327*j + 15*j**2 + 2375*j**3 - 259*j - 255*j wrt j.\nAnswer: 14250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 3, k: 11}. What is prob of sequence kk?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*b + b, 0 = 3*q - 3*b - 12. Let j = 24911 - 24911. Solve q + j = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + a5?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2048\/3*k + 2\/3*k**3 - 128\/3*k**2.\nAnswer: 2*k*(k - 32)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2\/7 + 62316*s\/7 + 56890944\/7 = 0.\nAnswer: -876, 21648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1032*s**3 + 3*s**2 + s + 1. Let k be x(3). Let t = k + -327895. What is t rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487240 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 12 - 111*h - 238*h + (3 + 1 - 3)*(2*h + 0 + 0) + h - h - h.\nAnswer: -348*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5150 = 2*q, p + 0*p + 2568 = 2*q. Which is smaller: -2581 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = -4. Suppose -3*p - 5*h - s = -185, 4*p = -h + 229. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8522.69 - -8480. Let g = b + 43. Let n = 0.18 - g. What is the biggest value in -2\/11, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (648\/945*35\/(-15))\/(14\/(-35)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414*b**2*o**3 - 2*b**2*o + 36*b*o**2 - 4*o**3 wrt b?\nAnswer: -828*o**3 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021102020000 (base 3) in base 6?\nAnswer: 22304043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Suppose -233 = 8*v - 617. Let w = -5 + v. Let b(k) = 15*k - 23 - 20 + w. Calculate b(u(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.005, -6.4, -4 in ascending order.\nAnswer: -6.4, -4, -3, 0.005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 12*y + 4 + 10*y**2 - 12*y**2. Let m be x(12). Solve 5*g = m*c - 5 + 40, 0 = c - 4*g + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 9\/(-3) + 9. Let h = 3.9 + -4. Which is the smallest value? (a) 2\/3 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206689 is divided by 149.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20 - (-4)\/4) + -249. Which is bigger: -238 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 2. Suppose -h*p + p = -119. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746608\/1153 at least 2381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/15 + 12\/(-20). Suppose u + 12 = -3*u. What is the units digit of (g + 6)\/(u\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1798.5699us?\nAnswer: 0.00000002081678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152448 and 101632?\nAnswer: 304896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 7. Let t be b(9). Let z(i) = t*i - 1 - 3 + 4*i**2 + 4*i**2 + 3. List the prime factors of z(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4\/4 + c**3 - 2*c**2 - 4*c - 54. Let a be (-9)\/3*1\/1. Calculate f(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/159240 and -39\/42464?\nAnswer: 636960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 - 29. Let x = -74.88 + k. What is the third smallest value in x, 0.1, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 22 = 2*s, o - 5*s + 3*s + 5 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpd when three letters picked without replacement from {d: 1, m: 2, p: 7}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from jjnwnjhnhhjhhnjnw.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c**36)\/c)\/(c*c**33*c)*(c**(2\/23))**(1\/26) assuming c is positive.\nAnswer: c**(898\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -204*g**2 + g + 17. Let b(l) = 407*l**2 - 2*l - 37. What is 6*b(t) + 13*n(t)?\nAnswer: -210*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c - 20*c - 90 = 0. Let x = 5 - 2. Solve z = -2*g - 2*g - c, 0 = -x*g + 2*z - 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 5632. Suppose -28*m + 128 = h. Round m to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.55758 litres?\nAnswer: 89557.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 + 434*n + 2. Let c(o) = 90*o. Calculate u(c(w)).\nAnswer: 32400*w**2 + 39060*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 440 - 4?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2 + 1916704*q - 459219277952 = 0.\nAnswer: 479176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 3, 828 in descending order.\nAnswer: 828, 3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(1 - 0) - -19. Suppose 2*n = -5*n + q. Let 122 + 560*d + 123 + 43*d**n + 390*d**2 + 5*d**4 + 37*d**3 = 0. Calculate d.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i*s**4 + i*s**3 - 39*i*s**2 + 2*i*s - 5*s wrt s?\nAnswer: 36*i*s**2 + 6*i*s - 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 1\/2*z**2 + 1\/3*z**3 - 1\/5*z**5 + 0 + 0*z**4 - 92*z. Let s(m) = 12*m**3 - 7*m - 4. Determine 7*r(w) + 2*s(w).\nAnswer: -4*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Which is the closest to -1? (a) -4 (b) 2394 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113955281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(363)*-2 + sqrt(363))\/sqrt(11))\/((sqrt(432) - (sqrt(432) + (sqrt(432) - -1*sqrt(432))) - sqrt(432))*-6).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.94 + -0.06. Let w = 2.9 + -3. Suppose -4*b - 2*q - 10 = 0, -3*b + q + 7 = 27. Sort b, d, w in descending order.\nAnswer: w, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.91743 rounded to 2 dps?\nAnswer: 41.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7458?\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34646176 to the power of 1\/2, to the nearest integer?\nAnswer: 5886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -13. Let d = 95 - 82. Sort -1, d, r.\nAnswer: r, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmvgjvf. Give prob of sequence vfv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -15. Let q = 33 + a. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/((-14042)\/34)*-38?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2\/7 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejb when three letters picked without replacement from {e: 1, a: 1, j: 2, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -427105688*d**6*u - d**6 - d**2*u + 3*d**2 - 5*d - 8*u + 89462 wrt d.\nAnswer: -51252682560*d**3*u - 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -46, 2\/9.\nAnswer: -46, 0.04, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*130.\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47634 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 - 34\/52. Let s = 142\/3 - 48. What is the nearest to s in -3, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**6\/60 - f**4\/4 - 2*f**3\/3 - f**2\/2 + 6. Let r(x) be the second derivative of p(x). Factor r(i).\nAnswer: 2*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71631618 to the nearest integer?\nAnswer: 8464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0)*2 - 37\/((-259)\/112).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 2*r - 16*r - 3 - 9*r to c + m*r and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-5)\/((-5)\/(-2)) - 79. Let z = j + 342. What are the prime factors of z?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**2 + 6*l + 1. Let i(n) = -n**2 + n. Let h(m) = a(m) - 6*i(m). Let k(v) = 8*v**2 + 2*v. What is 2*h(p) + k(p)?\nAnswer: 6*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4) - 3\/6. Let r be (40 + n)*(-11)\/(-2). What is the highest common divisor of 19 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4063 + 11757. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 12) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 15 = -33 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((5 + -1)\/4). Let d(t) = -t**2 - t + 15. Is 3 a factor of d(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -156*h**2 + 27. Let z(u) = 5016*u**2 - 5028*u**2 - 8 + 10. Give -2*c(p) + 27*z(p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 61 - ((61 - 15) + -44 + 22)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 28*m - 27 + 26*m - 6*m. Let u(r) = 7*r - 4. Calculate 27*u(d) - 4*y(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.99 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 5*m**2 - m - 6. Let v be d(-5). Let o(i) = 2*i**2 + 4*i + 2. Let l(s) = -s - 1. Let h(g) = v*o(g) - 6*l(g). Factor h(a).\nAnswer: -2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 3*u - 3. Let s be v(4). Let f(r) = r**3 + 41*r**2 - 2337*r - 56. Let p be f(-73). Is s not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -0.87?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2093783*y**6 + 327*y**2 - y + 16 wrt y?\nAnswer: -251253960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3791865 - 1875238. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25518265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1 - (-50 + 38).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25 - ((-11 - 8) + 6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.1 (c) 1.1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r + 17*d = -32*d + 45*d - 84, -4*r = -0*r - 5*d + 23 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1540 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21486 is divided by 98?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949*z - 955*z + 1908*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -2 (c) -18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0703 and -0.3046?\nAnswer: -0.02141338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 5*c - 14. What is a(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2 + 0 + o**2 - 2 - o + 5*o. Give k(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -174\/37?\nAnswer: -174\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97 - 0.32.\nAnswer: -97.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -f - 21. Let n(r) = -29*r + 80*r - 21*r - f*r. Let i(y) = 5*y - 5. Let s(q) = -3*q + 2. Let x(g) = -2*i(g) - 5*s(g). Give n(x(j)).\nAnswer: 35*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 339*u**6\/40 + 197*u**5\/15 + u**2 + 99. What is the third derivative of l(n) wrt n?\nAnswer: 6102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28071423 and 659?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 6916, 1, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.31473, 1\/12, -1\/5 in increasing order.\nAnswer: -0.31473, -1\/5, 1\/12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/11)\/(40\/(-44)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 v when three letters picked without replacement from {m: 7, a: 3, r: 3, x: 1, v: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -42, -1 in decreasing order.\nAnswer: -1, -42, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y - 3 - 11 + 11. Let j(u) = 13*u - 6. Calculate 4*j(v) - 7*w(v).\nAnswer: 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208643247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**2 - 4 - 2 + 0*k**2 + 6*k + 3*k**2. Let j be w(5). Let a = 79 + j. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 3 - 3 - 5*z**3 - z**3 + 3*z**3 - z**3 + z**3 + z**3 - 2 + z**3 + 2 + (0 + 0 + 2*z)*(-2*z**2 - z**2 + 5*z**2))*(-175*z - 256*z - 3 - 172*z).\nAnswer: -3618*z**4 - 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-51.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13511, -227 in decreasing order.\nAnswer: -2, -227, -13511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -772 - -774. Sort 0, 1, 156, l in ascending order.\nAnswer: 0, 1, l, 156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35235 <= 35234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 447, -45, -843, -1947, -3357?\nAnswer: -5073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/13))**28)**(-23\/3))**(-1\/5) assuming n is positive.\nAnswer: n**(-1288\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogggzoooog. Give prob of picking 1 z and 2 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3212 = 3*m - 5*d, -2*m + d = -1674 - 472. What is the remainder when m is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329713 is divided by 14330?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (6 + (2 + -1 - (27 + -30)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 4*i**2 - 2*i + 2. Let b be c(-4). Let y be 704\/14 + (-4)\/14. What is the greatest common factor of b and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + -21 + 58 + -27.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 105*h**2 + 4*h + 2. Let y(x) = -106*x**2 - 6*x - 3. Let f(b) = -3*n(b) - 2*y(b). Let o(g) = -2*g**2. Calculate o(f(m)).\nAnswer: -21218*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 8:29 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710917641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 19 = -49. Suppose 5*y = -4*c + n, 2*c = -3*c - 3*y + 9. Let l(p) be the first derivative of p**4\/4 + p**3\/3 - p**2\/2 + 7*p - 1. Determine l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003195314 rounded to 5 decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*u + 30, 3*w + 59 = 2*u + 3*u. Suppose -4*b + 10*y - u*y = -5958, -5*y = 3*b - 4474. Calculate the lowest common multiple of b and 22.\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - (sqrt(95) - (sqrt(95) + sqrt(95)*-5 + sqrt(95))))*-1)\/(sqrt(5) + sqrt(80)*-2 + sqrt(80) + sqrt(5) - sqrt(5)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {z: 1, k: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*z - 1214*z + 500 = -534*z. Let h = 1.3 - 0.3. Which is the closest to h? (a) z (b) -2\/41 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*j**4 - 34*j**3 + 2*j**5 - 10*j**4 + 9*j**4 - 55*j**2 + 37*j**2.\nAnswer: 2*j**2*(j - 9)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**3\/2 - 20*s**2 + 33*s. Let m be i(-16). Calculate the highest common divisor of m and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*a. Suppose 0 = -a*v - v - 3*q + 35, 4*v - 173 = -q. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 22\/3, 5 in ascending order.\nAnswer: -1\/4, 5, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -9*d + 55. Suppose 5*w = 7*w + 4*g - 212, d*g + 515 = 5*w. Does 26 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/((-6888)\/82)*3\/(12\/(-160))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 1}. What is prob of sequence gg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 2*y**2 + 4. Let d be t(0). Let x(s) be the second derivative of -s**5\/20 + s**4\/3 + s**3\/3 + 13*s. What is x(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 0 - (-4 + -6 + 3)) + 8 + -46?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 - -6 - (1 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/5 + 2814*r**2\/5 + 303369*r\/5 + 300554\/5 = 0.\nAnswer: -103, -1, 2918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8129856037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 7:01 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.577 and 1.\nAnswer: -14.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) - -1*2\/9. Let z be 1*((-4)\/46)\/2. Which is greater: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -102. Let f = 65 - u. Put f, 0, 1, -3 in ascending order.\nAnswer: -3, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 34 = 2*v, -2*n = 106*v - 105*v + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11366, 11098, 10830, 10562, 10294, 10026?\n\"Answer: -268*u + 11634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - u**2)*(-11*u**2 + 0*u**2 - 2*u**2) as o + a*u**3 + c*u**4 + s*u**2 + h*u and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259220, -518440, -777660?\nAnswer: -1036880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*g + 76*g - 5510. List the prime factors of g.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((2*(1 + sqrt(2299) + sqrt(2299)) + -2*sqrt(2299)*6)**2 - (2 + sqrt(2299)*-2 + sqrt(2299) + sqrt(2299)*-1 + 5)**2) + 4).\nAnswer: -44*sqrt(19) + 137899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -26*c + 187, -9*c = -7*c + 7*v - 49 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 - 254 = -8*q. Calculate the remainder when 191 is divided by q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4008249?\nAnswer: 3, 7, 61, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44783255 rounded to four dps?\nAnswer: -0.4478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31\/19 or -3?\nAnswer: -31\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -35. Solve -u*w = -7*w + 10, k + 5*w = 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 19764033?\nAnswer: 138348231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*225\/25\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4644\/165)\/3 - 9 and 109\/525.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s. Let k(p) = -3 - 7*p**2 + 9*p**2 + 3. Determine y(k(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*69\/621*2*6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-6) + 8\/(-24). Suppose u*l = 5*l + 20. Calculate the remainder when 38 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-3)*(-45)\/(-12). Let u be (-451)\/(-88) + (-1)\/8. Suppose -4*m + n = 2*c, 4*c - u*m = -m + 76. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at least as big as -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32027 and 2337971?\nAnswer: 2337971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 5:45 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1135908, -1135896, -1135884, -1135878, -1135884, -1135908?\n\"Answer: -r**3 + 6*r**2 + r - 1135914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2109 + 2118. Solve a*z + 14 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 3*l**2 + l - 3. Let w(o) = 3*o**3 - 153*o**2 - 12. Calculate 4*b(z) - w(z).\nAnswer: z**3 + 141*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnhnnnhnnnhnnnn?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13*l - 584. Calculate x(-46).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*m**3 - 23095\/4*m + 72075\/4 - 307\/4*m**2.\nAnswer: -(m - 3)*(m + 155)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6677, -6676, -6675, -6674?\n\"Answer: l - 6678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-98))\/((-1)\/8)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -12*t**2. Let l(x) = 4*x. Calculate a(l(f)).\nAnswer: -192*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 283\/4)*4. Suppose -4*x - x = -l. Let q = -39 + x. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 + q + 5. Let t be n(5). Suppose 12*u = t*u + 8. What is the first derivative of -14 + 3 + l + u wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4761.1254 rounded to the nearest 10?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5596, 5893, 6190, 6487, 6784, 7081?\n\"Answer: 297*x + 5299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5205228.8 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011841509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -0. Suppose 3*u + i - 16 = 0, -123 + 140 = u + 2*i. Sort m, u, 5 in decreasing order.\nAnswer: 5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 5263?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-7*y**5 + 7*y**5 - 17*y**5).\nAnswer: -34*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*u + 5*l, 0*l - 5*l = -25. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/9)*m**(-3))\/(m**(-4)\/m*m**(1\/3)\/m*m*m))**50 assuming m is positive.\nAnswer: m**(350\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6801 and 7689.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.097.\nAnswer: -0.0291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = -0*k. Let f be k\/20 + (-6)\/15. Let y(w) = 7*w**2 - w - 1. Is y(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 363.5316 and 96.8077?\nAnswer: 266.7239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 + -340.746. Let o = -1.19 + f. What is o rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ba80 (base 16) in base 10?\nAnswer: 47744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -552, -565, -582, -603, -628, -657?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 143, 86, -7, -142, -325, -562, -859?\nAnswer: -1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a. Let x be 3\/9*1*81. Let b(h) = -h + 27 - x. Determine b(k(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-15))*337168\/38904.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 5*j + 12. Let z be b(3). Factor 3*i + z + 3\/4*i**2.\nAnswer: 3*i*(i + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1075 and 14973546.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374267 and 3537.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-18) - (-209)\/456\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 794926895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-100 - -107) + 3 + 1 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2526, 10049, 22568, 40083?\nAnswer: 62594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0239118 to two dps.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r**4 - 544385*r**3 + 2*r + 245032.\nAnswer: -4*r**3 - 1633155*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:23 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, -26\/181, -4 in descending order.\nAnswer: 18, 3, -26\/181, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2027661496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 - 19*o**2 - 1 - 177255*o + 2*o**2 + 3*o**3 + 177238*o as r*o**2 + j + u*o**3 + z*o and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*f**2 + 17032*f - 10188954 wrt f?\nAnswer: -68*f + 17032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175632 by 4.\nAnswer: -43908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.1 - 8. Let n = t - -1.6. Let r = n - 5.7. Which is the smallest value? (a) 3 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (39\/(-15) + 3)*(-463225)\/(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 1122?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3825.2 + 3825. Put 1\/3, u, 0.3, -0.06, -0.207 in decreasing order.\nAnswer: 1\/3, 0.3, -0.06, u, -0.207","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359 + 241 = 40*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 160 = l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 3*k**4\/4 + 13*k**3\/3 + 2*k**2 + 5*k - 33. Let u be f(-4). Let n be 6\/4*(-1 + 4). Is u less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8011141.13 to the nearest one hundred.\nAnswer: -8011100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5689.\nAnswer: 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 + 17.92. Let c = 19.6 - d. Let p = 0.7 - c. Round p to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/5 - -92\/35. Suppose 0 = 2*y - 3*k + 11, 0 = -2*y - 4*k + 2*k + 14. Suppose -5 = d + 5*q, -y*q - 4 = 4*d - 2. Are z and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z. Let y be s(3). Suppose -3*u + 30 = -3*t, y = 5*t - 9. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:33 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/79501 and 71\/1712?\nAnswer: 1272016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/(7\/(-44)) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14280 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 553271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -51, -95, -157, -237, -335, -451?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 43*y**2 + 42*y - 93. Let g be o(-44). Let i = -0.1 - 0. Which is the second biggest value? (a) g (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -1 - 1\/2*b**2 + 0*b. Let l(p) = 3*p. Let q be 4\/6*(0 - 6). What is q*r(k) - 2*l(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6144\/13*a - 2\/13*a**3 + 192\/13*a**2 + 65536\/13.\nAnswer: -2*(a - 32)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/27 or -1?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**2 + 59*k - 11. Determine p(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-20) - ((-18)\/4 - -2). Solve -4*a + 3*g = 8*g - 27, 0 = v*a + 3*g - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474.0748 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 2*o - 5 + (5 - 1 - 3)*(19*o + 17*o - 69 - 37*o).\nAnswer: o - 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*d - g + 24, 0 = -5*d - g + 18. Suppose 1 = 2*m - 4*h - 15, 5*m + 5*h = -20. Suppose 0 = x + 4*x. Solve r + m*r - d = x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3) + (-19 - (0 + -12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -9920, 5 in increasing order.\nAnswer: -9920, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1298915661901 plus 14?\nAnswer: -1298915661887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7502.9951464 - -7503. What is z rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 377 and 129335650.\nAnswer: 1681363450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 179258954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -2 + 26 - 5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -134? (a) 0 (b) 3\/28 (c) 2 (d) 1 (e) 4 (f) -1.49\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 - -28864766.\nAnswer: 28864796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 2:43 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1377) + 0) - (sqrt(1377) + -2 + sqrt(1377))*-4) + 3.\nAnswer: -5 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskjzssszzzsezkuj. Give prob of sequence ju.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -62*s**2\/9 + 19033*s\/9 + 307\/9 = 0. Calculate s.\nAnswer: -1\/62, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197706442 to the power of 1\/2, to the nearest integer?\nAnswer: 34608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from aiwwwii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/19 (b) 2 (c) 3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 185*v**2 - 9543*v - 2039. Determine s(-227).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/2 + 3815*i - 819789\/2 = 0.\nAnswer: 109, 7521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h = 23*h + t - 1, 5*h + 29 = -t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (6 - 1) + -14 + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.8 + 32.8. Let n = -0.65 + -4.35. What is the second biggest value in n, 3\/2, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/46 + 11\/874. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let x(m) be the second derivative of 5*m**3\/6 - 3*m**2\/2 + m. What is the smallest common multiple of x(2) and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2330866, 2330867, 2330868, 2330869, 2330870?\n\"Answer: g + 2330865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 47167 + 5?\nAnswer: 47172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*g + h - 5, -h = 0. Solve -p + 5 = 2*s - 2, -g*s + 2*p + 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94663345?\nAnswer: 5, 7, 386381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 a when four letters picked without replacement from {y: 3, n: 2, m: 1, a: 5, q: 2, d: 6}?\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268117 - 14617 = -39*j + 258937. List the prime factors of j.\nAnswer: 17, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -555*z**4\/4 - 437*z + 551. What is the derivative of b(q) wrt q?\nAnswer: -1665*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 + b. Let p(u) = -32*u**2 - 380*u + 19. Let k(c) = -5*c**2 - 60*c + 3. Let w(x) = 19*k(x) - 3*p(x). What is -2*s(l) - 6*w(l)?\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u - 8. Let g be v(-2). Suppose z + 4*j = -g, -10 = 4*z - 4*j - 66. Solve 0 = -9*o + 4*o - z, o = l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1))**(-11\/3)\/(m**(-1\/3))**(-18\/11) assuming m is positive.\nAnswer: m**(-260\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212 - 216. Let w = -468 - -448. What is the second biggest value in w, 4, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4326 is divided by 114?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 378\/(-3)*(-1638)\/(-3822)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 14 = 8*y - 12*y, -5*t = 3*y - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 0*c - 2*c + (-2 + 2 + c)*(0 - 1 + 30) + (c + 2 - 2)*(-4 + 3 + 0) to n*c + w and give n.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 16. Calculate b(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2549 + -2484. Which is the nearest to x? (a) -5\/4 (b) 8\/11 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 141*t - 29*t + 1 - 136*t.\nAnswer: -306*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 21*p + 83 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-32)*(2760\/23)\/4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -157. What is the remainder when t is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.218 - 131.782. Let m = 81 + y. Let n = m + 51.029. Round n to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9312569*a*y**3 + 1925*a*y + 4*y**3 - 11067*y**2 wrt y.\nAnswer: -55875414*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/8)*y*y)**10 assuming y is positive.\nAnswer: y**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4043*w - 7360. Does 17 divide d(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*i - 127 = -3*q - 102*i, -5*i + 245 = 5*q. Suppose 0 = 54*c - q*c - 3168. Is 35 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/11)*g)\/(g\/(g**(-2\/3)*g)))\/(g**(2\/7)*g**(-3)))\/(g**(5\/3)\/(g*g**(-6)*g)*g**4\/g**2) assuming g is positive.\nAnswer: g**(-815\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*u - 34 + 10, 3*n + 3*u = -15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7200 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oubjub. What is prob of sequence uj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 14 + 0)*(2*l**3 - 5*l**3 - 3*l**3).\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g)\/g*g**(1\/7)*(g*g\/g**(2\/3)*g)**(16\/3) assuming g is positive.\nAnswer: g**(793\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1135 and 0.2?\nAnswer: 1135.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.993708 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24342 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*z**3 + 1 + 26*z**3 + 0*z - 13*z**2 - 2*z**2 + 2*z in the form t + n*z**2 + w*z + a*z**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -64 + 1\/3*q**3 - 1\/2*q**2 + 5*q. Give z(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -3350623?\nAnswer: 3350603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -207, -326, -461, -618, -803, -1022?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22057?\nAnswer: 7, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*i, 0*i - 5*i + 1 = 4*z. Suppose -2*f - 304 = -2*q, 3*q - 610 = -q + 3*f. Suppose -q - 234 = -z*p. List the prime factors of p.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7799 + 31185 - 7798 - 7795 - 7793 + s + 2*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - a + 4 + 5*a + 0*a - 4*a + (0 - 2 + 0)*(4*a + 0*a - 6*a) + 4*a - a - 4*a - 3*a + 0*a + a + 6*a + 0*a - 20*a - 5*a + 6*a + 5*a as n*a + k and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 374?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + sqrt(275))**2 - (sqrt(99)*-6 + -2))*-2.\nAnswer: -554 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-16)*(-31628)\/1027910.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46732000 by -41725.\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51584 by -248.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 49. Is -0.3 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-142)\/(-35) - (-140)\/(-700). Factor -9\/7*q**2 + p*q**3 - 15\/7*q - 3\/7.\nAnswer: 3*(q - 1)*(3*q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5765 + 5758. What is the second biggest value in -4\/3, -0.028, -2\/7, g, 3?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - j**2 + 5*j + 2. Let k(l) = l - 10. Let w be k(7). List the prime factors of q(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a)**(3\/28)\/(a**(-1)\/a)**19 assuming a is positive.\nAnswer: a**(535\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (15 - 3) + -5 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*b - 25*b - 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 6\/(-6)) + -2 + 3. Suppose 0 = -2*f + 4*z + 724, -5*f - x*z + 1828 = -6*z. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 8. Let x(d) be the first derivative of -d**4\/4 + 7*d**3\/3 + d**2\/2 - 39. Let v be x(s). What is the greatest common divisor of 105 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -636 - -641. What is the nearest to 1 in 4, s, -100?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, k: 2}. Give prob of picking 3 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2514336 and 96?\nAnswer: 2514336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-3)\/12). Let d = -5 + u. Let c(s) = 4*s - 2. Let o = -27057 - -27065. Let t(k) = 11*k - 6. Give d*t(y) + o*c(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -769, -2749, -5977, -10453, -16177?\nAnswer: -23149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 18\/(-3) - 255. Let b = 374 + z. Suppose -b = -4*a - 18. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-688)*(29 + -80 + 33)\/((-3)\/(-2))?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1033, 2065, 3099, 4135, 5173?\n\"Answer: t**2 + 1029*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 6:31 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257240 or -5180?\nAnswer: -5180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.12 - -0.12. Let v = -5458\/15 + 364. Let y = -4\/51 - 13\/51. What is the nearest to v in 0, c, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 y when three letters picked without replacement from {w: 4, z: 1, n: 10, y: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 1, d: 3, p: 4, i: 1, t: 2}. What is prob of sequence fptd?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667*b**2 + 335*b**2 + 333*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**2 + 37*x**2 - 24*x**2 + 46*x.\nAnswer: -12*x**2 + 46*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + c - 1. Let r be f(-3). Suppose 210 = r*l - 5*m, -125 = -3*l - 3*m + 13. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/18 of a week?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4600 - -50?\nAnswer: -4570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5400, 14169, 37974, 84333, 160764, 274785?\nAnswer: 433914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57*114\/2888 + 225\/(-96).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*h - 1 + 1.\nAnswer: 258*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6))\/(-5 + 4). Let y = 0.7 + 1. Let z = -2 + y. What is the nearest to -1\/3 in -1\/7, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377006 is divided by 31367.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -844*a**3 - 3*a**2 - a + 1. Give x(1).\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -38. Which is the second biggest value? (a) -0.3 (b) -1 (c) h (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5\/2)\/(h*h**(-9\/7)) assuming h is positive.\nAnswer: h**(-31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59004566077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, 0.2, 6\/13?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 > 530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -176.81?\nAnswer: -1768.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*h - 227, 15*w = 11*w - h + 217. What is the greatest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4, -1.5, 9, 0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a - 4*a**3 + a + 9*a - 8*a + 4*a**2.\nAnswer: -4*a*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + f + 1. Let q(i) = i**3 - i - 1. Suppose 13 = 4*w + 3*u, u - 10 = -w - 6. Determine w*q(o) + z(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/45 and -157\/241950?\nAnswer: 725850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 95 = -9. Suppose -3*p + 0*n - 41 = 2*n, 2 = n. Let w be ((-4)\/(-10))\/(3\/p). Sort w, 5, u.\nAnswer: w, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -54*x. Let h(t) be the second derivative of t**4\/6 - 4*t + 3. Determine h(o(c)).\nAnswer: 5832*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/3)\/((-8)\/(-312))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 2*c**2 + 12*c - 22. Let s be l(2). Solve 19 = -2*p - 5*x, -4*x + 21 = s*p - 7*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.665492ml?\nAnswer: 0.004665492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1514 - 4.5014. Are j and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207203.\nAnswer: 383, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 10}. What is prob of picking 2 i?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.33, 123, -5, -35\/11 in decreasing order.\nAnswer: 123, -0.33, -35\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*l = 1 + 4, 3*w + 5*l = 5. Suppose w*n = 2*k - 82, -3*k + 3*n - 4*n = -140. What is the greatest common factor of 506 and k?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050560.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 21*n + 14. Calculate i(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3032798993.0000103 + 3032799181. Let y = -188.1281 + 0.1281. Let o = k + y. Round o to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 237388156, 237388143, 237388118, 237388075, 237388008, 237387911, 237387778?\n\"Answer: -g**3 - 6*g + 237388163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1950*l**2 - 1650*l + 1650*l to the form k*l**2 + c*l + j and give k.\nAnswer: 1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 2.6\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 22*u = 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, r: 6, h: 2}. What is prob of sequence rh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6456358, 6456395, 6456434, 6456475?\n\"Answer: f**2 + 34*f + 6456323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**4 - 8 - x + 0*x + 9*x**4 as y*x + u*x**4 + c*x**2 + h + a*x**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-90) - 8\/(-9). Solve w = -5*c - 24 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(-11 + 4))\/1. Let p(o) = -16*o + 18. Let r be p(d). Factor 2\/9*h**r - 10\/9*h + 4\/3.\nAnswer: 2*(h - 3)*(h - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1089 and 1694.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 292537269*b**4 + b**2 - 249*b + 15692.\nAnswer: 7020894456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or -877?\nAnswer: -877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*-1)\/sqrt(9))\/(-1*sqrt(35)\/sqrt(5)) + -1.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:42 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**3 + 2*x**2 - x**2 + 3*x**2 + 11 - 8*x**3 + x**2 - 3*x. Determine s(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**3 + 272*z**2 - 4526*z + 16. Determine h(39).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 12, -16, -78, -186?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 26*r**2 + 19*r - 153. Is q(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 5*h = 32. Suppose k + 3*k + 2*t - h = 0, 5*t + 60 = 4*k. Let f be k\/(-4) - 1 - (-24)\/(-48). Let i(j) = j**2 + 4*j + 4. Calculate i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = -3*d + 7*w + 13, -1 = -d - 3*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*105\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**6 + 193*z**4 - 5300*z**2 wrt z.\nAnswer: -360*z**3 + 4632*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**6\/10 - l**5\/5 + l**4\/12 - 14*l. Factor y(v).\nAnswer: v**2*(v - 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from xaxaaaxaaaaaaaaxxa.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/21362 and -55\/20391.\nAnswer: 448602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130071 is divided by 948.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2758537 is divided by 110339?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:30 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 + -1.8. Let z = 0.6 - g. Which is the nearest to 2? (a) -1\/2 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32119\/3 or -10705?\nAnswer: -10705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -305917\/7 - -43834. Let o = q - 9371\/70. Calculate the common denominator of o and (-1)\/(-4) - 2\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-19 - -17) + -1 + 1 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*g + 2*m - 1, -6 = 4*g + 2*m. Let n be 2\/3 + (-10)\/g. Let z = -41 - -77. Calculate the greatest common factor of z and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12035 and 72935.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.7 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586 (base 10) to base 15.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -82, -156, -250, -358?\n\"Answer: z**3 - 19*z**2 + 2*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -213, -1385, -4329, -9855, -18773, -31893, -50025, -73979?\n\"Answer: -135*c**3 - 76*c**2 + c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 27*s**2 - 23*s - 15. Let y be p(14). Suppose -45*z + 50*z = y. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -254, -907, -2070, -3887, -6502, -10059, -14702?\nAnswer: -20575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 2*i. Let g(z) = 2*z**2 - 3*z. Let o(d) = -g(d) + v(d). Let k be o(5). Solve k = -2*p + 6, 3*h + p = -0*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 77, 3, -4, -2.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2801000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -45*y**3 - 17033190*y**2 - 22710860*y - 7570280 = 0.\nAnswer: -378514, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/(-69))\/((-22)\/27*-3).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330.361 nanometers to millimeters.\nAnswer: 0.000330361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1242146 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15b - -33?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-318)\/(-84))\/(2 - 1) and 75\/36*(-48)\/(-7 + 13)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-8))\/(-1) + (-2)\/4. Put -14, 0, r in decreasing order.\nAnswer: 0, r, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 4 - i - 4 - i**3. Let n(t) = 7*t. Determine 6*c(p) + 5*n(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by ((-2)\/(-6))\/((-1)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 104*k + 785. Determine i(-92).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1069\/15 - (-6)\/15. Let n = -71 + q. Let t(h) = h**3 - 9*h**2 - h + 13. Let a be t(9). What is the nearest to n in a, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, -15, -33 in ascending order.\nAnswer: -192, -33, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = -4*g + 27, -49 = -4*g + 3*z. Suppose g*y - 80 = 5*y. Let v = 16 + -8. What is the greatest common factor of v and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 12)\/8*-3 + -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)*((r*(r**(-2\/3)*r)\/r)\/r)\/r)\/(((r*r*r*r*r**(-2\/5))\/r)\/r*r**(-1\/4)) assuming r is positive.\nAnswer: r**(-193\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + m)*(-m - m - m + (2 + m - 2)*(-1 + 3 - 1)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101 * -0.2.\nAnswer: -20.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 339*g + 664. Give r(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: a21 (base 11) to base 16\nAnswer: 4d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = 2*y - 150, -12*b = -3*y + 180. What is the least common multiple of y and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-159)\/((-4)\/(0 - -4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54769*j - 56740*j + 111525*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4393.\nAnswer: 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 32 = 2. Let o be -5*((-9)\/h - 1). Solve 6 = -o*k + 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8)*(-4)\/3. Let p = 5\/174 + 4\/29. Let j be 1\/((-2)\/(-3) - (-46)\/(-24)). Put p, j, d in descending order.\nAnswer: p, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:50 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101 (base 2) in base 7?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31\/11 + 4\/22. Suppose -r*f = -0*f. Suppose 4*c - 9*c + 10 = f. Which is smaller: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(3\/(6\/(-4))). Suppose b = h + 3*h - 68. Let q = 37 + h. Does 26 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -k - 1. Let j = 132 - 137. What is the second biggest value in j, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42\/209 - 106173\/1045. Let u(c) = c**3 - 3*c**2 - 7. Let j be u(6). Let r = j + d. What is the second smallest value in r, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -212108400 to the nearest one hundred thousand.\nAnswer: -212100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 1.2?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4107763 divided by -4?\nAnswer: 4107763\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(390\/(-18))*2\/(-6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1035 + 4?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, f: 2, t: 1, k: 10}. Give prob of picking 1 e and 2 f.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.011787us in minutes?\nAnswer: 0.00000045019645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*r - 820, -2*t = 5*r - 79 - 220. Calculate the remainder when t is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-950)\/(-455))\/((-112)\/588)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 10*o**2 + 0*o + 5*o.\nAnswer: -10*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/9 + -23\/36. What is the nearest to 1 in 2, h, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 0*k + 0*k - 5.\nAnswer: k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 268 - 236 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100556623 + 0.3195.\nAnswer: 100556623.3195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -429*z**5\/5 + 175*z**2 + 594. What is the second derivative of u(k) wrt k?\nAnswer: -5148*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - 2 - -7) - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + sqrt(24)\/sqrt(12) + 1.\nAnswer: sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(567) + sqrt(567) + 3.\nAnswer: -2 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -23*b**3 - 4*b**2 + 56*b + 186. Determine h(-3).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -0.122?\nAnswer: 5.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.038077 micrometers in millimeters?\nAnswer: 0.001038077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31944083 and 904?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 3*q - q - 33*q**2 + 35*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-13)\/o))\/o**(2\/23))**(-3\/32))**(33\/2) assuming o is positive.\nAnswer: o**(-495\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5, 62 = 2*o - o + 4*m. Find the first derivative of 13 + o*u**4 + 24 + 4*u**4 + 4*u**4 wrt u.\nAnswer: 264*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-56)*(-77)\/(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13318*g**2*m - 18*g*m - 2*m - 22353594 wrt g?\nAnswer: 26636*g*m - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h. Which is the nearest to h? (a) -5\/4 (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/780 + t**5\/78 + t**4\/26 - 61*t**2 + 2*t. Solve n(k) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 5943*f - 1. Determine j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3203*b - 1326*b - 28038*b - 12732*b.\nAnswer: -38893*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-22)*-5*(-102)\/(-255).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4\/5, 15, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 3*z + 3. Let w(f) = 12*f**2 + 17*f + 17. Let v(x) = 34*h(x) - 6*w(x). Let d(o) be the second derivative of o**3\/2 + 93*o. Determine v(d(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 75*g + 36. Let l be d(37). Let p(b) = 7*b**3 + 1. Calculate p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 82 = -14. Suppose 2*d - 88 = 140. Suppose g*w - d = -32. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*c - 18, -4*c + 1 = 5*i + 4. Suppose 5*q + 5480 = c*n, -n - 4*q + 609 = -1229. What are the prime factors of n?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-16)*(93 - 1). Let g = t + -39. Let j be 13\/26*g\/(-6). What is the nearest to 2 in 1\/5, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 3:45 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -65*r - 9 + 23*r + 23*r + 16*r. Let f(n) = 2*n - 4*n + n. What is f(o(t))?\nAnswer: 3*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(1*(-4)\/(-6)). Suppose -y = -3*n - 2, -2*y = n - y + 2. Sort j, 5, n in descending order.\nAnswer: 5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8586 and 5?\nAnswer: 42930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2231293 nanograms to micrograms.\nAnswer: 0.0002231293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932945.2mg to micrograms.\nAnswer: 932945200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 12:56 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7936)\/576 - 14*-1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.97 + 3.17. Let v = -923 + 919. Put v, 4, c, -3 in descending order.\nAnswer: 4, c, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - v**2 + 4 + 5 + 2 + 4*v**2 to x + l*v + b*v**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 3. Let q(g) = 5*g + 3. Let k(w) = 2*q(w) - 3*v(w). Let f be (-123)\/18 - 1\/6. What is the units digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -210306 - 20065?\nAnswer: -230404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**6\/540 - 2*o**5\/135 + 5*o**4\/108 - 2*o**3\/27 - 17*o**2. Factor x(j).\nAnswer: 2*(j - 2)*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + (22 - (16 + 19))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2046, -4092, -6138, -8184?\nAnswer: -10230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -455385, -455337, -455257, -455145, -455001, -454825?\n\"Answer: 16*g**2 - 455401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30.7 - -34.7. Which is the closest to 19? (a) -0.5 (b) 6\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 11351\/13, -1\/3, 5, -2\/501 in increasing order.\nAnswer: -1\/3, -2\/501, 3\/8, 5, 11351\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -273*m - 254*m + 1413 - 558*m - 36*m wrt m?\nAnswer: -1121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/(-8))\/(-1)*-2. Let o = 16 + k. Suppose o*m + 56 = 11*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 f(y) = 74*y + 6142. Let a be f(-83). Is -1\/6433 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/(-72) + 4\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 30*c**2 - c + 3. Let s(j) = -61*j**2 + 2*j - 9. Give 7*f(o) + 3*s(o).\nAnswer: 27*o**2 - o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1044)\/(-189) - ((-3)\/3 + 7))*-6?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150 - 147. Suppose 17*x = -d*x + 80. Let y(w) = w**2 - 3*w + 2. Let t be y(3). Solve -3*l - 18 = -x*v + 2*l, 2*l + t = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, e: 2}. Give prob of picking 2 o and 2 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 925, 5, -2, -0.07, -4\/9, -7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5622 = 2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 603037243548?\nAnswer: 603037243552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 19*i**2 - 2*i - 2. Let x(v) = 15*v**2 + 1 - 39*v**2 + 2*v + 23*v**2 - 2 - 3*v. What is o(w) - 2*x(w)?\nAnswer: -w**3 - 17*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + (-1 - -2) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -617.4 + 616.4. Let w be ((-8)\/7)\/(3 - 1). Which is the nearest to z? (a) w (b) 1\/2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1476 by -3.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + (-1236)\/(-8). Let u = 22 + -22. Suppose -2*i + 44 = -u*i. Calculate the greatest common divisor of i and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 2*c - 2*c - 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*1*(0 - 5). Let r be 3\/3 + -1 + -2. Let w be ((-35)\/(-2))\/(r\/(-12)). What is the highest common factor of x and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52, -101, -146, -187, -224, -257, -286?\n\"Answer: 2*v**2 - 55*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3*t**3 - 95*m**3 - 17*m**2*t**4 wrt t?\nAnswer: -3*m**3*t**2 - 68*m**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -183 greater than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 10:06 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*q + 0*q + 15 = 0, 0 = -3*w + 3*q + 9. Suppose -1 = -i + w. Suppose 0 = 3*v - 33 - 9. Solve 5 = -5*c, 4*l + i = 2*c - v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 q, and 2 r when four letters picked without replacement from {r: 3, k: 4, q: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 0, 2.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 6:00 PM?\nAnswer: 518","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 1. Let y(q) = -q**3 - 4*q**2 + 2*q - 11. Let k be y(-5). Let w be s(k). Let t(x) = 2*x**2 + 10*x - 2. List the prime factors of t(w).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 20 = 486. List the prime factors of l.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*91.2.\nAnswer: -27.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = -0*x - a, -8 = -x - 5*a. Suppose -b + x = -0*b. Suppose b*w - 9 - 21 = 0. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = g - 1440. Is 67 a factor of (-1 - 1419\/12)\/((-30)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52526 or 52527?\nAnswer: 52527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4\/3 + 14*t**3\/3 + 16364*t**2\/3 - 56*t\/3 - 21808 = 0.\nAnswer: -87, -2, 2, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4854509941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:01 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r - 20 = -5*x, 2*x - 13 = -3*r. Let g(d) = -d**2 - 11*d + 10. Calculate the smallest common multiple of g(-11) and r*((-4)\/(-10))\/(30\/495).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**3 + a**2 - 3*a + 20. Let k be (-12)\/8*(-124)\/(-6). Let v = 39 + k. Let g be j(v). What is g rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 e, and 1 z when four letters picked without replacement from ezzazzczazzadddzcee.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c = -16*c - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n**2 + 13*n. Let k be -1 + -6 + (-924)\/(-66). Let h(c) = 6*c**2 + 6*c. Determine k*h(z) - 4*l(z).\nAnswer: -2*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*s + 0*s = -21, 15*s - 43 = 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22012011211 + -11?\nAnswer: 22012011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/176*-30)\/(93\/341)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**4\/24 - 2*w**3\/3 - 5*w**2. Calculate a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 2, 5, -0.95?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 63?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from pqpqqilpplpppqpplp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010656408 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/63 + 172\/28. What is the tens digit of x\/96*8 - 159\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118439870 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -n - 11*q + 537, -1620 = -3*n + 3*q. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 2 q when four letters picked without replacement from {r: 7, b: 1, q: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4231407477.\nAnswer: 3, 11, 1381, 92849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 10717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 8\/2771, 1\/40 in ascending order.\nAnswer: -0.5, 8\/2771, 1\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 12:10 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6846000 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6 and 30\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 1. Let k(u) = 3*u - 3. Let a(q) = -2*k(q) - 5*w(q). Let j(l) be the first derivative of -18 + 1\/2*l**2 + 0*l. What is -3*a(c) - j(c)?\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 9, -2, 151, 4, 0 in descending order.\nAnswer: 151, 9, 4, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 7*s**2 - 2*s - 9. Suppose 15 = -2*t + 77*u - 76*u, 18 = -2*t - 2*u. Determine l(t).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3689290490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d + 8*d + 240 = 0. Sort 8, d, 17, 1.\nAnswer: d, 1, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236716 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/(-2)*-2 - 1. Let d = -18 + h. Suppose d = -4*u - 45 + 125. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 + 8*r - 18. What is m(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096 is divided by 92.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 1338*h**3 - 448897*h**2 - 893784*h - 446224.\nAnswer: -(h + 1)**2*(h + 668)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83\/170 - 3\/34. Let s(w) = -661*w - 29749. Let l be s(-45). What is the closest to -0.1 in 5.7, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -55*y + 110 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 1)*2802*12\/(-8). Let m = b + -2302. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -32 + -10*1*(18 - 17)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40169570773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 729 = 4*o, 724 = 2*o + 2*o + 4*z. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s + 2. Suppose 16*m - 15 = 11*m. Let o(a) = -7*a - 3. What is m*v(l) + 2*o(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**4 + x**2 - x**2 + (-2*x**2 + x**2 - x**2)*(3*x**2 - 3*x**2 + 2*x**2) - 2*x**4 - 2*x**4 + 5*x**4 + (-4 - 2 + 4)*(5*x**4 + 5*x**4 - 16*x**4).\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4667*q*z**2 + 3*q*z - 89*z - 6 wrt z.\nAnswer: -9334*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 12718443*o**5 - 281288226*o**4 + 541395480*o**3 - 60249600*o**2 + 1728000*o = 0?\nAnswer: 0, 120\/2059, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (52\/(-5))\/((418\/17091250)\/(-19)). What is h rounded to the nearest 100000?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -13*v - 20. Let j(w) = 6*w + 9. Let n(h) = -2*g(h) - 5*j(h). Suppose 0 = -d + 2*o + 13, 9*o = -2*d + 10*o + 14. What is n(d)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7921452 hours?\nAnswer: 2851722.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*z - 0*z, 10 = -2*s. Sort 4, -9, z in increasing order.\nAnswer: -9, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (8 + -7 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 + 472*z**2 - 714*z**2 - z**3 - 175 + 242*z**2.\nAnswer: 3*z**3 - 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s**2 - 5*s**3 + 3*s**3 + 14*s**2 - 40*s**2 + 3*s + 16*s**2 + 2. Suppose 14 = 5*b - 1. What is h(b)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2579 is divided by 858.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.5 - -15. Let n = -2.6 + i. Let b = n + -2. Is b greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**5\/30 + 20*g**4\/9 - 77*g**3\/9 + 38*g**2\/3 + 242*g. Factor i(y).\nAnswer: -2*(y - 38)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 k when three letters picked without replacement from {w: 5, k: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -3. Let d = 12 - 4. Let l(m) = -m**3 + 7*m**2 + 7*m + 11. What is the least common multiple of o and l(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-3)*z)\/z*z*z**(-9\/5))**39\/((z**3)**(1\/10))**13 assuming z is positive.\nAnswer: z**(-1131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 893 (b) -10\/103 (c) -0.2 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 63*q**2 - 1. Let w be b(1). Suppose -v - 3*v = 5*s - w, 0 = -s - 2. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27.23? (a) -3 (b) -0.3 (c) -4\/9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*u + 2*d - 12, 2*d - 16 = -5*u. Let c(n) = n**2 - u + 2. Let m(a) = 3*a. Give m(c(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-48)*-3*8\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-2 + 5)*-1 + 4)**2.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 0*x**3 + 0*x**5 - 61\/42*x**7 + 0*x**2 + 0*x**6 + 0 - 64*x - 41\/12*x**4. What is the third derivative of c(a) wrt a?\nAnswer: -3660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 908211?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 1\/14 (c) 1\/6 (d) -5\/4 (e) -1 (f) -2\/57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o - 34*o + 8*o - 1.\nAnswer: -40*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**13)\/(a*a\/(a\/a**(-2\/157))) assuming a is positive.\nAnswer: a**(2043\/157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 906 (base 15) in base 5?\nAnswer: 31111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30474 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1 - 1) - -6 - (-2 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1279916643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -1)*2\/2. Let s = 1 - 0. Let i = 4 - s. Solve 0 = -2*u - u + i*t, w = 2*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1449*w + 454*w - 917*w.\nAnswer: -1912*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29152 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -309578362 or -309578363?\nAnswer: -309578363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.746205 centimeters?\nAnswer: 0.01746205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 432\/(-8748)*(-18)\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 13\/6*j**3 + 0*j**4 + 1\/15*j**6 + 0*j**5 + 0*j + 16*j**2 + 0. Differentiate x(y) with respect to y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -1 + -1 + 728850\/(-31640)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 195 = 11*n. Let o = 66 + n. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/6, -0.4, -5\/3, -0.5, -56.\nAnswer: -56, -5\/3, -0.5, -0.4, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2748\/6*(-1)\/(-1). Suppose 0 = 3*n - h - 169. What are the prime factors of n?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*w - 130 + 79 = 0, 95 = -7*q - 5*w for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212221021112112 + 10?\nAnswer: 212221021112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139.72 - 139.92. Sort -5, g, -2\/13, 0.5, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, -2\/13, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597136941 to the power of 1\/2, to the nearest integer?\nAnswer: 39964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002 (base 3) to base 4.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1151*x = -1152*x + 1173 - 2973. Is x > -9004\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -3\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 30 = 11*l. Suppose 5*z = -3*y - 3, l*z + 2 = -2*y - 0*y. Suppose z = 13*h - 4*h + 9. Is h less than or equal to -8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -2. Suppose j = m - 1, g*j - m + 3*m = 23. Suppose -3*l - 3 = 3*b - 15, j*b + 12 = 3*l. What is the greatest common factor of l and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 9. Let p(t) = t - 6. Let r be p(12). Let z be i(r). Let n be 9 + z + (-1 - 5). Solve -q = -3*q + n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16038144 is divided by 11076?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/54 + (2 - 95\/45)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:52 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104425793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(52) + 0 - -2*(sqrt(13) + sqrt(91)\/sqrt(7))*5)**2.\nAnswer: -132*sqrt(13) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v - 4*y - 1, -5*y - 10 = -4*v. Suppose -7 = -v*b + 23. Suppose 37 = m - b*k + 3*k, -148 = -4*m + 3*k. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2 - 5)*(4*u + u - 6*u) + u + 4 - 4)*(-3 - 1 - 4) as m*u + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 3286988?\nAnswer: 6573976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2898 is divided by 418?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -6. Let k(a) = -2*a + 14. Let j be k(n). Let w be (-7)\/(-2) - (-9)\/j. Solve w*g + 2 = -2*x, -27 = 3*x - 4*g - g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4930, 4973, 5016, 5059, 5102, 5145?\n\"Answer: 43*b + 4887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3388976699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11653681 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1841, 3908, 5975, 8042, 10109?\nAnswer: 12176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54844\/16455 - -2\/5485. Let j(t) be the first derivative of -5\/2*t**2 - 5\/4*t**4 - 8 + 0*t - d*t**3. Factor j(z).\nAnswer: -5*z*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 250968223 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**6\/240 + 11*i**5\/60 + 10*i**4\/3 + 32*i**3 - 1204*i**2. Find u such that l(u) = 0.\nAnswer: -8, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44241823 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6300)\/14700*((-800)\/12)\/(-8)?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from kbbkkkkbbk?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4841 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*k + 14494 = 0, 3*z - k = 13384 - 2510. What is the greatest common divisor of z and 468?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1695 + 75 = -6*c. Is c at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**3\/3 - 9*w**2\/2 + 20*w - 457. What is x(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 divided by -1818.\nAnswer: -167\/1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4 + 1 + 6 + 8*m. Let t(a) = 14*a**2 + 506*a - 509. Let d be t(1). Let z(r) = 4*r + 6. Calculate d*z(u) - 6*c(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 332\/(-3320)*15\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 15 + 2*k + 11)*(k + k + k) - k - k**2 + 2*k - k**2 in the form v*k**2 + r*k + j and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48214191?\nAnswer: 3, 19, 845863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 + 52*i\/11 - 138\/11.\nAnswer: -2*(i - 23)*(i - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 30 = 0, -v - 4 = 2*c - 0*v + 19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -740 + 1567. Let f = -1752 + n. Let q = f - -969.1. What is q rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124661\/10 - 12477. What is the common denominator of 35\/3 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - h = -3 + 2, 3*h - 15 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fsyqqfimfqfqf.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 5*w + 11 - 34, 5*w + 5*n = 20 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7988 by -3994.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.204823*-5\nAnswer: 6.024115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 2\/3*c**3 + 0 - 1\/60*c**5 + 15*c**2 + 0*c + 1\/8*c**4. Let h(z) = -6*z**2 + 17*z + 23. Calculate 6*h(j) - 34*w(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Let v(q) be the second derivative of -7\/3*q**3 + 0*q**2 + 12*q + 0. Determine v(b(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -35. Suppose -578 = -4*p + 5*d, -f*p + 4*d + 385 = -195. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -225023, -225014, -224995, -224960, -224903, -224818, -224699, -224540?\n\"Answer: s**3 - s**2 + 5*s - 225028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384920 and 1715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -37793*w - 340189. What is o(-9)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*f + 4*s, 0*f - 2*f - 4*s + 58 = 0. Suppose 20 = 4*x, j + 3*x = 3*j + f. Is 1797\/9 + (-2)\/j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -0.2 (c) -0.029\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1978*b - 2*b**2 - 36*b**3 + 120*b**3 + 1963*b wrt b.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9462258473580 - 0.1?\nAnswer: 9462258473579.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -217 + 217 - z**2. Let a(y) = -2*y. Give g(a(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + a - 5609690*a**2.\nAnswer: -5609690*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 6*b - 2. Let v be n(3). Suppose 24299997 = 3*o - 3*g, v*g - 2*g = -3*o + 24300005. What is o rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose i + 3*f - 6 - 1 = 0, u*i - 4*f + 18 = 0. Let q(v) = 3*v**2 - 4*v - 3. What is the tens digit of q(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8980 + -8926. Let f = 142 + -70. Calculate the highest common divisor of g and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 2776*v**5\/5 - 1681*v**2 + 2667. Find the second derivative of o(k) wrt k.\nAnswer: 33312*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/3693 and 179\/7830522.\nAnswer: 9639372582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 589, -0.3, -5, -1\/12 in descending order.\nAnswer: 589, -1\/12, -0.2, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 1 + 2 - 1.\nAnswer: c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 4, 5, 14.\nAnswer: -1, 0, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 1. Let o be s(2). Let z be o\/1 - (9\/(-3) - -1). Solve 0 = -2*h + 3*c + 2*c - z, 0 = -c - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 17*d**2 + 37*d - 22. Calculate z(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77469 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93030977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 7485.\nAnswer: 52395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*6\/(-234))\/(2870\/764855)?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 18. Suppose -5*a + 7 + t = 0. Let z = -13 - -18. Do a and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.3 + -28. Sort 1\/9, h, 0.4 in decreasing order.\nAnswer: h, 0.4, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.03 + -0.03. Let o = -0.0819 - -0.0819. What is the third biggest value in n, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -86, -212, -386, -602, -854?\n\"Answer: s**3 - 33*s**2 + 20*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 276342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5502179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 7*u**2 - 8*u + 5. Let m be (24\/(-7))\/((-140)\/(-490)). What is the remainder when i(-7) is divided by (-250)\/(-30) + m\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65714 divided by -22?\nAnswer: 2987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13346, -26692, -40040, -53390, -66742, -80096?\nAnswer: -93452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*l = 102, -2*i + 5*l - 3*l = -28. Suppose -4*o + 5*k - 9 - 35 = 0, -o + 3*k = i. Let y = o + 27. Calculate the greatest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -11*p + 7 - 6 + 6*p + 3. Determine d(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j + 2. Let b(o) = 3*o + 7. Let q(u) = -8*u - 20. Let g(i) = -17*b(i) - 6*q(i). Suppose 2*v - 2 = 16. Calculate v*g(z) - 4*w(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*u**3 + 5*u**2 + 3 - 5*u**2 - u**2 + 225*u**3 in the form a*u + f*u**2 + h*u**3 + b and give h.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, e: 5}. Give prob of sequence ee.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2641066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 + 2 = 0. Let q = -1.6 - -1.7. What is the nearest to a in q, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*t = -t - 4, 0 = -3*r + 4*t + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/20011 (b) -0.5 (c) -9\/91 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 8964*t**2 + 693632*t + 13409280.\nAnswer: 4*(t - 2160)*(t - 97)*(t + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 6692*c + 2. Let s(k) = k. Calculate j(s(n)).\nAnswer: -2*n**2 + 6692*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.55737 to 2 dps.\nAnswer: -5.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*((-21)\/(-9) - 3). Suppose 11 = 5*i - 3*a, 0 = 5*i - 10*i - a + 23. Solve 4*v - 9 = -u, -3*v = -6*u + w*u - i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 91. Suppose -i - j = i - 2, -5*j + t = -5*i. Is ((-1)\/3*3)\/(i\/719) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.191*31\nAnswer: -98.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + n**2 + n. Let p be (5*8\/20)\/1. Give m(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2\/4 - 34157*p\/4 - 2685921\/2 = 0.\nAnswer: -33999, -158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31686863114662247 + -31686860333003124.9999877. Let p = -2781659381 + c. Let b = p + 259. What is b rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/9)\/((-1)\/3). Let c be (42\/35)\/((-2)\/a). What is the remainder when (-13 - (c - 0))*-1 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688 <= 9470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - f + 14 = 0, 494*f - 26 = 5*p + 493*f for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -49. Calculate the greatest common factor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 divided by 44236?\nAnswer: -119\/22118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4033233 divided by 5?\nAnswer: -4033233\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 268*s - 77 + 2757 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-14))\/(1404\/1092))\/((-268)\/18)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o. Let n(w) = 7*w. Let l be (1 + (-14)\/4)*-2. Suppose 0 = l*j - 1 + 36. Calculate j*n(z) - 6*x(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 14) to base 12\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 18. Calculate the highest common divisor of 32 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:54 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77, -155, -233, -311, -389?\n\"Answer: -78*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-54))\/(23\/(-6)))\/(87\/29).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/7)*v*v\/v**(-3))**41\/((v**1)**13*(v*v*v**(2\/3))\/(v**1\/v)) assuming v is positive.\nAnswer: v**(4345\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 0*h**2 - 5*h + 3*h**2 - 2*h**2 + 3. Suppose 0 = -p - 24 + 27. Let q be r(p). Sort -2, q, 2.\nAnswer: q, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.109 + 54.109. Let f = n + -54.0097. Round f to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115122047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 3*w - 14 + 38 + 39 = 0, 20*h - 4*w = 104 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + 22 + -30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2685\/2 > -1343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1800 less than or equal to -1799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2534 + 3424. Calculate the highest common factor of 50 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (464*(-5)\/(-160))\/((-8)\/16)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 91 - 81 = 4*m, 3*f + 9 = 3*m. Sort -2, m, -790.\nAnswer: -790, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l + 3*l + 3 - 4*l)*(0 + 0 - 2*l).\nAnswer: -10*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*n**2 + 35*n**2 + 2 - 15*n**2 + (-n - 6*n + 5*n)*(31*n + 25*n + 62*n).\nAnswer: -235*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 64. Let a be s(27). Suppose 0 = 3*b + 2*b + a, -4*i + b + 34 = 0. Suppose p = -3*h - 7, -i*p = -4*p + 5*h. Solve 0 = -p*m - 0*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13024148 or -13024147?\nAnswer: -13024147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 785602\/297 - 29087\/11. Calculate the common denominator of y and 11\/(-3)*4\/18.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74579, 167443, 260293, 353123, 445927?\n\"Answer: -z**3 - z**2 + 92874*z - 18293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 1\/312 (c) -0.027 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57086521 to the power of 1\/2, to the nearest integer?\nAnswer: 7556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-50)\/1*9\/(-6) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2502265, -5004527, -7506789, -10009051, -12511313?\n\"Answer: -2502262*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 2*a**2 + 65. Let v(w) = 6*w**3 - 9*w**2 - 326. What is -11*g(i) - 2*v(i)?\nAnswer: -i**3 - 4*i**2 - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26319729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) - 1988\/(-126). Solve -j + 5*j = 2*d + u, -2*d - 10 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 38. Let u(o) be the first derivative of 2*o**2 - 3*o - 168. Let g(j) = -j + 1. Calculate d*g(v) + 2*u(v).\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -112725 - -1124?\nAnswer: -111601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/20)\/(2\/35). Suppose -5*x + 1 = -v. Differentiate 1 + i**2 - x + 0*i**2 with respect to i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 at most -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -119, -114, -71, 40, 249, 586, 1081?\n\"Answer: 5*w**3 - 11*w**2 + 3*w - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**3 + 8*v**2 - 21. Let q = 279 - 276. Let a(i) = -3*i**3 - 4*i**2 + 10. Let f(y) = q*z(y) + 5*a(y). Differentiate f(t) wrt t.\nAnswer: 9*t**2 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201836543.\nAnswer: 163, 659, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 229, 241, 255?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iir when three letters picked without replacement from riiiir.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 855 + -844.29. Let x = o - 10.6. Is 4 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -6\/133, 1, -2\/95857?\nAnswer: -6\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 562005, 562004, 561991, 561966?\n\"Answer: -6*l**2 + 17*l + 561994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 15. Calculate the highest common divisor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzunf. Give prob of sequence fzun.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 3*d + 3. Let m be g(-3). Let x be (1 + 4\/(-6))\/(9\/324). Suppose 2*b - 2*f - 5 = 7, -x = -b + 3*f. Is m less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -4.7. Let p(n) = 6*n**3 + n**2 - n - 1. Let y be p(1). Which is the second smallest value? (a) -1 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - (-66)\/(-3))\/(-1). Solve -k = -5*y - 27 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*c**6 - 2384*c**4*k**3 - 722*c**2*k**3 + c**2*k**2 - 5*c*k - 2*k**3 wrt c.\nAnswer: -2640*c**3 - 57216*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 g when three letters picked without replacement from ghiihhzzhgi?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14)\/((-33)\/(4620\/(-80)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 6:55 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 429, 858, 1287, 1716?\n\"Answer: 429*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(12) + (sqrt(3) - (4 + 2 + sqrt(3))).\nAnswer: -10 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -0.2 (c) 0 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6073, -6078, -6087, -6100, -6117, -6138, -6163?\nAnswer: -6192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/(-1932)*-23)\/((-1)\/2))\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126*a**4 + 43*a**2 + 19*a wrt a?\nAnswer: -3024*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 18*y**2 + 11*y + 68. What is a(16)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b - 3. Let i(m) = m**2 - 7*m - 2. Let r be i(7). Is a(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(264)\/(sqrt(6)*1*-2))\/(sqrt(180)\/sqrt(20) + sqrt(36)).\nAnswer: -sqrt(11)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((10070\/2584)\/53).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(-2\/3))\/c*c))**(-50)*c\/(c\/(c\/c**6))*c**(-1\/4) assuming c is positive.\nAnswer: c**(-463\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388 = 17*w - 3*y, 3*y - 61 - 58 = -181 + 59 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((((-40)\/(-4))\/(-5))\/(-35)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -470269 - -5?\nAnswer: -470264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 7. Give d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 7 - 4)*(-6 + 7 + 5)*(25*q**2 + 13*q**2 + 26*q**2) to the form t + p*q**2 + c*q and give p.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -1421?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = 4*r - 33 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 449*q**2 - 974*q - 235857. Give v(-450).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 21*i - 40. Solve -2 - i = -5*p - 5*h, 4*h + 10 = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-32)*10*44\/(-110)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 21885*o + 478953225\/2.\nAnswer: (o - 21885)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + s + 2)*(-2552 + 385*s + 2552)*(s + 2 - 2).\nAnswer: 385*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 159 - 408. Let h = 188 - 173. What is the greatest common divisor of g and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1995578 divided by -997789.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 67. Determine r(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 7. Let n(o) = o + 3 - 3. Let k be n(3). What is the units digit of j(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 0, 18 = 122*o - 124*o + 2*c for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2, 1479, 4694 in increasing order.\nAnswer: -2, -0.3, 1479, 4694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109\/230 - -3\/115. What is the second smallest value in 0.6, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 108, 1073, 3694, 8799, 17216, 29773, 47298, 70619?\n\"Answer: 138*l**3 - l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-455)\/(-15) + 3)\/((-1)\/(-65010)). Round d to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + 5. Let s(t) = -16*t + 9 + 8*t + 13 - 8. Give -14*d(i) + 5*s(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82069 and 65.\nAnswer: 410345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*z - 298. Let o = 161 - z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 3*u + 3*m - 298, 3*u - 236 = -2*m. Let y = -49 + u. Let k = y - 18. Solve -o + 4*o + k = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123362 (base 8) to base 3.\nAnswer: 2011121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 61*o**2 + o - 3. Let t(b) = -47*b**2 - b + 3. Calculate 2*m(q) + 3*t(q).\nAnswer: -19*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.076, -1\/19.\nAnswer: -1\/3, -0.076, -1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.2003369 to one dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxx when three letters picked without replacement from {f: 2, x: 10}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 1219.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0 + 0*m**5 + 0*m**3 + 2*m**2 + 3\/40*m**6 + 5\/12*m**4 + 0*m. What is the second derivative of f(v) wrt v?\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-2\/7)*x)**(-44)\/((x\/((x*x\/x**(-6))\/x))\/x**0))**(-40) assuming x is positive.\nAnswer: x**(38800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14*q**3 + 143*q**2 + 21*q. Give m(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, q: 7, g: 4, m: 5}. What is prob of sequence qm?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 221*l + 132 + 0*l**2 - 95\/3*l**3. Differentiate j(o) with respect to o.\nAnswer: -190*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -907285, -907288, -907291, -907294, -907297?\nAnswer: -907300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88244672?\nAnswer: 2, 1378823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8564000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 232313 (base 5) to base 11\nAnswer: 639a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -4263.\nAnswer: -4259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 55\/30)\/(-5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 - 7616 = -32*s + 552. List the prime factors of s.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m + 11*m + 21*m)*(-6*m**2 + m**2 + 3*m**2 - 2*m**3) to the form p*m**3 + f*m**4 + s + o*m**2 + h*m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*o - 5, -2*t + 8*o - 12*o + 8 = 0. Sort t, 0, 1\/8, -11.\nAnswer: -11, t, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 379*w**8\/336 - 97*w**4\/8 - w**3\/2 - 361*w**2. What is the second derivative of a(r) wrt r?\nAnswer: 7580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39368 is divided by 18995?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 611029743 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 249\/(-8)*(-235)\/((-86010)\/976)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s**2 - 7*s - 9. Let j(a) = a**2 + 23. What is v(j(o))?\nAnswer: -11*o**4 - 513*o**2 - 5989","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -15, 0, -2.9, -2\/15 in ascending order.\nAnswer: -15, -2.9, -2\/15, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r**2 + 5*r + 23. Let h(c) = 23*c + 4*c**2 - 2*c**2 + 4*c + 19. Let j be h(-13). Is w(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37088 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:49 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7}. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*z + 82, 2*z - 5*p + 6 = 56. Suppose 0 = j + 4*j - 400. What is the greatest common factor of j and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**5 - 356*h**4 - 3252868*h**3 + 16270196*h**2 - 26035296*h + 13018320 = 0.\nAnswer: -861, 1, 2, 945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x**2 + 5*x - 9. Let n be d(-6). Suppose -5 = 5*c, 2*g - n = -2*g - 3*c. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5503*h**2 + 109*h + 6250*h**2 - 11757*h**2 - 109*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -3676dc?\nAnswer: 3676dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-15) + 123\/(-915). Let b = 30\/1403 + y. Let c = 0.2 - 0.2. What is the biggest value in c, b, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 12:51 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**5 - m**4 + m**3 - m. Let t(n) = -18*n**5 - 15*n**4 + 15*n**3 - 18*n. Let d(x) = -15*a(x) + t(x). What is the second derivative of d(l) wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 26984*j - 1331820.\nAnswer: 4*(j - 49)*(j + 6795)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*8)\/((-2)\/6). Suppose 6*a + 15 = 5*j + a, -4*j + x = 2*a. Suppose 0 = -4*f + 7*f - 12. Solve -j*l + 4*y + 7 = 0, f*l + 10 = -3*y + 28 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/39? (a) -0.3 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 15972 = -5*h, 2*h - 10*q - 6388 = -12*q. List the prime factors of h.\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876118291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*n**4 + 4*n**3 + 3*n**2 - 39*n.\nAnswer: 312*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72*(-4)\/1800)\/((2\/5)\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10111100100?\nAnswer: 10111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 20, 446*c - 2*r + 111024 = 450*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1097611.77 - 157343.\nAnswer: -1254954.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(3\/7)*i*i**(1\/6)\/i*i)\/(i**(2\/27)*(i\/(i\/(i*i**(-8)\/i*i*i)))\/i))**(-26) assuming i is positive.\nAnswer: i**(-51701\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -1521*k**3 + 110136*k**2 - 845584*k + 1721344 = 0.\nAnswer: 164\/39, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -13. Let q be 3*z\/(-3)*109. Does 31 divide 3\/((-15)\/q)*(-1 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 - -1.1. Let b = -3 - -2. What is the nearest to b in h, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*b - 6 = 0, 6*a = 2*a - 3*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 2118*d**3 + 71176*d**2 + 667392*d + 1067008.\nAnswer: (d + 2)*(d + 16)**2*(d + 2084)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + (sqrt(1125)\/sqrt(9) + (-1*sqrt(30))\/sqrt(6))*-5))**2.\nAnswer: -1920*sqrt(5) + 32144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9538 is divided by 324?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -328*k**2 + 14*k**2 + k**3 - 15*k**2 - 210*k**2 - 773*k**2 + 2 as y + p*k**3 + i*k + c*k**2 and give c.\nAnswer: -1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrjrjjrrjjyrjjjjyjj. What is prob of picking 1 j and 2 r?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnncncnn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 6. Suppose 9 + q = 5*s. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u + 22. Let k be 2 + (-2)\/1 - -10. Let i(w) = 3*w. Let s be i(k). What is the highest common factor of u and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.745892 months to centuries.\nAnswer: 0.00145491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 313\/(-7) + 44\/(-154). Let k = z + 48. Put -1, k, -5 in descending order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 10*b**2 - 10*b - 7. Let k be w(11). Suppose 6 = 2*a - k. Suppose 5*x - 6 - 4 = 0. Calculate the least common multiple of x and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -160*q + 159*q. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4724, -3\/8, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9 = 229. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/17661 and 40\/50547?\nAnswer: 1465863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -10\/981 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, a: 1, c: 2}. What is prob of sequence cdd?\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -22. Let b = 21 + j. Let s = 21 - 4. Calculate the remainder when b is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -56, -98, -150, -212, -284, -366?\n\"Answer: -5*g**2 - 17*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4 + 3*g**2 + 3*g**2 - 10*g - 2*g**2 - 3*g**2. Let d be u(10). Is d*((-6)\/(-14) + (-13625)\/(-140)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 730, 1146, 1574, 2020, 2490, 2990?\nAnswer: 3526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 1\/20*j**5 + 2*j + 0*j**4 - 1\/2*j**3 + 0 + 3\/2*j**2. Calculate h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 3)*3 - 3. Let m = q - -5. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2578191179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m - 11*m - 6*m - 7*m as z + j*m and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(8\/3)*t**(-4\/3)*(t**(2\/3)*t)**15 assuming t is positive.\nAnswer: t**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 18*f - 66. Calculate y(-14).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 times 25.15383?\nAnswer: -0.10061532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.193 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 18*h - 18. Let u be b(17). Let i = 8 - 6. Let x = i + -2.2. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -7. Let p(g) = g**2 + 27*g + 396. Let w be p(-26). Let l = w - 318. Calculate the highest common factor of o and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6161.\nAnswer: 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 + 33.2. Let a = s - 32.8. Let l = a - 9.2. Put l, -1, -2\/11 in decreasing order.\nAnswer: -2\/11, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 730 - -1593. Let h be (-2)\/(-1)*g\/46. Let s = 281 - h. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18 + 105*(-21)\/(-49). Solve -38*b = -29*b - q for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 3)*(-1 - 2). List the prime factors of (-1 + (-6)\/q)*36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 7:45 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -26?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/((-520)\/(-20))*-1*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.8, -298, -2763.\nAnswer: -2763, -298, -0.8, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -12*t + 9\/20*t**5 - 1\/4*t**4 + 0*t**3 + 0*t**2 + 0. Find the third derivative of m(a) wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 - o**3 + 3*o**3)*(-3 - o + 3) - o**4 + 4*o - 4*o - 390*o**2 - 9435*o**3 + 9435*o**3 - 6*o**4 + (-2*o**2 + o**2 - o**2)*(-2 - 2*o**2 + 2).\nAnswer: -2*o**4 - 390*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -31, -63, -97, -133?\n\"Answer: -k**2 - 27*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505123942.\nAnswer: 2, 2153, 117307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + -6*(-1 + sqrt(175) + 0 - (sqrt(175) + 1)**2*6) + -4.\nAnswer: 330*sqrt(7) + 6339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 1. Give b(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4 = -2*h. Let v be ((2 - 2) + 1)*5. Suppose -3*t - 4*n = 12, 8*t - 15 = 3*t + v*n. Solve -h*f = -t*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 15. Which is the third smallest value? (a) 1 (b) p (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -898212 divided by -4\nAnswer: 224553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/887 or 160?\nAnswer: 6\/887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3929587.\nAnswer: 29, 179, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -20*s + 81. Let z be v(4). Let c(u) = 905*u - 2. Let h be c(z). What is the greatest common factor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-373 - -372) + 4*4\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**2 + 294*f. Let s(j) = 19*j**2 + 2. Determine m(s(l)).\nAnswer: -2888*l**4 + 4978*l**2 + 556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3*l + 235 = 189, 0 = -f + 4*l - 28 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4 + 8832*b**3\/7 - 33858*b**2\/7 = 0 for b.\nAnswer: 0, 27\/7, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3 = -17. Solve o = w*o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.4 (b) -4 (c) -0.65 (d) -5 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 12985784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18239*h = -18215*h - 23304. Solve 0 = 9*d - h + 989 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let i = 6 - 9. Let v(p) = p. Let a(s) = 2*s. Let w(q) = i*v(q) + a(q). Give w(g(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5*n - 26, 4*v - 2*n - 93 = 3*n. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.503 and 10481625558.\nAnswer: 10481625565.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 = -0*b + 2*v, 4 = -4*b - 4*v. Let h = 29 - 8. What are the prime factors of 4\/b*(-10 + h)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1451067, -1451069, -1451071, -1451073?\n\"Answer: -2*q - 1451065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 15. Let q(i) = i**2 + 2. Let k be q(0). Suppose -k*o = -7*o. What is the remainder when 28 is divided by y(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -11 (c) -0.2 (d) -2 (e) -4\/11 (f) 2\/3 (g) -425\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 + 111. Let c(o) = -o**2 - 15*o + 32. Let y be c(l). Solve 3*q + 0*q - 13 = s, -y = -4*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1592467 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 44*h - 92. Determine z(-31).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 3*q**2 + 7*q - 5. Let y be j(4). Differentiate -3*d**2 + 3 - 3*d**2 + y*d**2 with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 10468634?\nAnswer: 52343170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 4*i - 7 - 4 - 1, 21 = -4*p - 4*i + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/14656 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -29 in ascending order.\nAnswer: -29, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 74.8. Which is the third biggest value? (a) m (b) 0.4 (c) -3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 2 - (-21)\/3. Let h(r) = 5 + 6 + 3 - r. What are the prime factors of h(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 31?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 11*k + 18)*(0 + 6 - 3)*(-5*k - k + 5*k) to the form p + o*k**2 + i*k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12585921\/113 or 111379?\nAnswer: 12585921\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 8.80133\nAnswer: 8.60133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -55 + 32 + q - 6*q + 26. Give d(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16997987 less than 38369?\nAnswer: 17036356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2851*h**3 - 4*h**2 - 4*h + 1. Let j be u(-3). What is j rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60827\/28074*(-2)\/(-13).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2178 and 438?\nAnswer: 158994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 times 0.7?\nAnswer: 0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 4*t. Suppose 5 = p - 3*p - n, -t*p - 3*n - 5 = 0. Which is smaller: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*((-4)\/(-126)*-28)\/((-20)\/18).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32008202 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828675 is divided by 414332?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 40\/(-7 - -2). Let q be -7 - (-7)\/(28\/b). Sort 1, q, -6 in descending order.\nAnswer: 1, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m - 126*m - 54 - 62 wrt m.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -812*c + 65795. Calculate b(81).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.1 (b) -1 (c) -28\/789\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 34*z - 30*z - 8785380, 2*r = z + 8785405. Round r to the nearest 10000.\nAnswer: 4390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16234, -130278, -440098, -1043668, -2038962, -3523954, -5596618?\n\"Answer: -16329*k**3 + 86*k**2 + k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -256 and 3.48?\nAnswer: 259.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:42 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 20. Let r be g(-19). Does 9 divide r + 0 + 56 + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 28 + 16 + 1 + 3*a. Let w be n(-21). Which is greater: 22 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 2. Let u(q) = q**3 + 5*q**2 - q - 1. Let j be u(m). Let p = 18 - j. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -1\/3*c**3 - 11*c**2 + c - 12. Differentiate i(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 + 3*l - 29. What is z(6)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 2, p: 4, q: 4}. Give prob of sequence ppc.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 + 325. Calculate the highest common divisor of m and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 + -104. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*q**2)*(0 + 0 + 3*q**2) - 72*q - 3*q**4 + 72*q + (-2 + 2 + 2)*(-2 + 2 - 2*q**4).\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1014\/5 and -204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 587*b**3 + b**2 - 2*b - 3725?\nAnswer: 1761*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4342 - -117.\nAnswer: -4225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnnxxnnbbxxbbbb. What is prob of sequence bbn?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628427.\nAnswer: 628427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -53.05 from 3.852.\nAnswer: 56.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 15*g + 1. Let w(o) = -15*o - 13*o + 1 - 9*o**2 - 4 - o. Let n(x) = 2*w(x) + 5*z(x). Is n(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (-1 + -23 + (-671 - -856))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)**(-2\/17) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (-12)\/(-24) + 2\/(-4). Suppose 0 = -x*k - 684 + 1608. What is the greatest common factor of 98 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*20\/70*(-2)\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 24\/11, 0.039, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2572 - -2602. What is the remainder when 498 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/3, -5, 0.091?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 7. Let x be y(9). Suppose -x*o + 3*o = 3. What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4174.5 * 0.215\nAnswer: -897.5175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/23 in 0.155, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 121*w + 5. What is the remainder when 2669 is divided by j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let f be (12\/15)\/(6\/15). Suppose -f*c - 11*c + 26 = 0. Let m(g) = 8*g**c + 6*g**2 - 42*g**2. Give m(x(b)).\nAnswer: -112*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -550802*a. Let i(r) = r**2 - 145. Calculate i(w(h)).\nAnswer: 303382843204*h**2 - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 412*b - 189. Is m(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*k**6 + k**2 + 155*k wrt k?\nAnswer: -13560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3528 in 0.4, -0.1, 4\/7, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (529 - 500).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - x - 4. Let f = 0 + x. Solve -f = -0*a + a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007138282 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 5, p: 7}. Give prob of picking 2 p and 1 q.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4572 or 4570?\nAnswer: 4572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/42)\/(((-64)\/(-1792))\/((-12)\/96)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 + 0*f**5 + 0*f**5 - f**5 - 2*f**5 + f**5 + (-5*f**3 + f**3 + 2*f**3)*(3*f**2 - 4*f**2 + 2*f**2).\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127670700927675*c**2\/4 - 117424170*c + 108 = 0.\nAnswer: 12\/6523565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 2*x**5 - 2*x + (-4*x + 3*x + 0*x)*(0 + 2*x**4 + 0) - 10*x**5 - 14*x**5 + 11*x**5.\nAnswer: -17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -10, -28 = -5*b + 4*t + 772. Find the second derivative of 47 - 255*m + 70 - b*m**2 - 117 wrt m.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.10275 - -2.1. What is t rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i**2 - 72*i - 16. Let x(u) = u**2 + 1. Let h(y) = -f(y) - 12*x(y). Let j be h(-36). Solve j*s - s - 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3696998 divided by -2\nAnswer: 1848499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k + 9*k + 9*k - 21*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 48 + -77 + (-2898)\/(-115)\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -1)*(1 - 2). Suppose k*c - 3 = -c. Solve 2*m = -0*r + c*r + 13, 4*m = 2*r + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 5*o**2 - 27*o - 278. Let n be x(-7). Solve -1030 = -n*w - 994 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g**3 - g**3 - 4*g**3)*(-242 + 42 - 102)*((4 - 6 + 0)*(-3 + 3 - 2) + 2 + 3 - 3 - 3 + 0 + 1) as y + r*g**3 + v*g**2 + q*g and give r.\nAnswer: 12080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -21*b + 8. What is the remainder when j(-3) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 435 - 432.99. Round i to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 5:49 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*1 + sqrt(114))\/sqrt(2) + sqrt(57) + -2*sqrt(2793))\/(sqrt(36)\/(1*sqrt(12)*4)).\nAnswer: -44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**5\/60 - l**4\/24 - l**3\/6 + 56*l**2. Let a(t) = -2*t**2 - 4*t - 2. Let c be a(-1). Give u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)*u**6)\/(u**(-8\/3))**(-9\/2) assuming u is positive.\nAnswer: u**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 18000000 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o**3 + o**2. Suppose -15 = 3*v, -i + 8 = -4*v - 9. Let j(y) = y**3 + 5*y**2 + 8*y + 8. Let x be j(i). What are the prime factors of w(x)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -7. Let r = j + 2. Let o(c) = -7*c**3 - c**2 + 2*c - 2. Let f(y) = 5*y**3 + 2*y**2 - 3*y + 1. Let p(g) = -3*f(g) - 2*o(g). What is p(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 1493238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -108*v - 1832. Let a be g(-17). Solve -24 = -h - a*t, -19*t - 6 = h - 21*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4\/7 - 3004*s**3\/7 - 8360*s**2.\nAnswer: 4*s**2*(s - 770)*(s + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 8:17 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 371 and 9289.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*i + 14, -i = 2*x - 0*x - 6. Solve 0 = -3*y + x - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m. Let t(u) = -10*u - 1. Let r(w) = -11*g(w) - 2*t(w). Determine r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39759, -79519, -119279, -159039, -198799?\nAnswer: -238559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(1 - (-8)\/(-5)). Let m(d) = 4*d + 4. Determine m(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:10 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**5 - 264*q**4 - 1692*q**3 - 2576*q**2 - 1152*q = 0.\nAnswer: -4, -1, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Let g(l) = -9*l**2 + 5*l - 34*l - 4 + 23*l + 10*l. Let h(c) = 6*c**2 - 3*c + 3. Let t be (14\/6)\/(2\/6). Determine n*g(r) + t*h(r).\nAnswer: -3*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {s: 4, e: 8, j: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -5, -10, 9 in decreasing order.\nAnswer: 9, 1, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - 75 - -69 - (7 + 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/(-24) + (-5)\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3 - (-1 + -3). Suppose u = 3*u - m*i - 11, -10 = 5*u + 5*i. Let h be u + 2 - (-2 + 0). Which is the nearest to -1\/3? (a) h (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let c(n) = -n**3 + 5*n**2 - 2*n - 1. Let h be c(4). Let f = 12 - h. Let p(l) = 3*l + 0*l - f*l. Give i(p(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 216\/11, -4, 0.3, -3?\nAnswer: 216\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u - 2*j - 292 = 0, -4*u + 3*j = -1193. What is the lowest common multiple of 11 and u?\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 4 = -4*k. Suppose -3*h = o - 934, -k*h - 5*o + 678 = -892. What is the common denominator of (3\/45)\/(12\/h) and -17\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635087249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78280, -156529, -234746, -312925, -391060, -469145?\n\"Answer: j**3 + 10*j**2 - 78286*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*b = -391*b - 299*b - 101956 + 12449 for b.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3034 is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 9*z + 13. Let b = 37 + -45. Let k be h(b). Is k at least as big as 23\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32.37+-194806.648\nAnswer: -194774.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -52\/3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 11 - 3. Suppose l*z - 17 + 5 = 0, -5*f = -4*z - 68. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 8:42 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 111. What is b rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(88\/80))\/(198\/693).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/9)\/(20\/120). Which is the nearest to u? (a) 1\/10 (b) 2\/23 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 23 - (4 + -8 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 325 = -3*z - 2*z, 3*z - 264 = -3*o. Suppose 3*h - 9 = 2*u - 34, -4*u = h - o. Solve 2*j - u = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -4*t + t - 3*c, 4*t = 2*c + 168. Solve 5*f + 6 - t = -4*b, -3*f = 3*b - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -8*v - 8*v. Suppose v*l = 4*l - 16. What is the tens digit of 795\/24 - l\/32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211364 is divided by 1073?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*w = 2*w - 16, 2*y = -2*w + 44. Let s(l) = -8*l + 36. Let t be s(4). Solve t*g - y = -0*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11596402, 11596418, 11596434, 11596450, 11596466?\nAnswer: 11596482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 790 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**2\/2 - 1. Let z be 3\/(-6)*-34*1. Let s(a) = -2*a - 6. Let x(i) = -6*i - 17. Let y(w) = z*s(w) - 6*x(w). What is q(y(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3639 - -4372. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 3. Let w be (n\/3)\/(22\/4). Let d be (6\/(-16))\/(7*(-108)\/(-336)). Which is the closest to 1\/3? (a) w (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3561*o**3 + 3 + 1210*o**3 + 4*o**2 + 2*o**2 - 4 - 7*o**2.\nAnswer: -2351*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 1. Let r be b(-2). Find the first derivative of -5*g**r - 8*g**4 + 19*g**4 + 5*g**3 + 15 wrt g.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25446 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 232\/13 + (-8)\/(-52). Is 12 a factor of (-2)\/(-3) - (-204)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-448)\/4))\/(4\/(-24))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 492 = -5*c - 122, 163 = 2*t - c. What are the prime factors of t?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 28, 75, 164, 313?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -553, -875, -1197?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 57*o + 50 - 2611 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0*w + 2*w)*(5*w + 6 - 6) - 4*w**2 + 3*w**2 + 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 23438744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7676163 to the power of 1\/2, to the nearest integer?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3872650.\nAnswer: 2, 5, 73, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -41) + 6 + -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/8)*b)\/b)\/b*b**7\/b*b**(-14)\/b**6 assuming b is positive.\nAnswer: b**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 7*r - 40 = 0. Solve 2 = 5*a + 3*z, -r*a + 3 + 0 = 2*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8773 + 8776. Let y(l) be the third derivative of 0*l**r + 1\/10*l**6 + 0 + 0*l**5 + 0*l + l**2 + 5\/24*l**4. Find the second derivative of y(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5672 - -44. Is 142 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 7*x - 425. Let g = x - 43. Solve 6*f - i = 2*f - 6, 5*f = 4*i - g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-26)\/208*2 + 1 + (-28793)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15945 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -18*p**2 + 40\/3 + 536\/3*p = 0.\nAnswer: -2\/27, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 82*u**2 + 75. Let l(k) = 77*k**2. Determine t(l(w)).\nAnswer: 486178*w**4 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -18*m**3 - m**2 - 2*m - 7. Is 68 a factor of g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 126331, 126328, 126323, 126316, 126307, 126296, 126283?\n\"Answer: -n**2 + 126332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12*-2*0. Let i = 241 - 241. Solve -m - 4*t + 7 = i, -4*m + t - 6 = -p*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1227*y - 2341*y = -149856 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -1.7774?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 348 = 58. Let w = r - 26. What are the prime factors of w?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 11536700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-39)\/2) + (-222)\/(-78)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-13)\/(g\/(g\/g**(3\/7))))**27 assuming g is positive.\nAnswer: g**(-2538\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/((-3)\/(-9)). Let p be (g\/3)\/((-10)\/(-12)). Suppose -2 = -4*j + 18. What is the second biggest value in j, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from igvuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**2 - 3*x - 3. Let d(s) = s**4 + 8*s**2 + 4*s + 4. Let p(a) = 3*d(a) + 4*v(a). Find the third derivative of p(l) wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 + 4 - 2*l**4 - 62*l**2 + 57*l**2 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. What is the second smallest value in j, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20440 + 29079. What is the thousands digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95734 * 0.3.\nAnswer: -28720.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2, -0.1, 5\/4, 0.4, -2.45?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*x + 28. Solve -5*y - 11 = -0*y + 3*u, y - 3*u + x = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 - 6.9. What is the closest to -0.1 in 1, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 120. Let p(f) = -f - 1. Determine n(r) + 3*p(r).\nAnswer: -2*r - 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 4 - -2 - -5) + (1 - 18).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4855, -9710, -14565?\n\"Answer: -4855*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1098*f**2 + 547*f**2 + 547*f**2 + 2 + f. Let i(n) = -n**2. Determine -5*i(h) + u(h).\nAnswer: h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36347, 72695, 109041, 145385, 181727?\nAnswer: 218067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/25)\/((-3)\/5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 1) + 59 + -92 + 28.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 10. Let l(q) = -z*q + 4*q - q. Let r(b) = 7*b. Calculate r(l(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7982*k. Let o be n(-2). Let i = o + -3861. Let l = i + -5603. Round l to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 1, -16, -35, -56, -79, -104?\n\"Answer: -c**2 - 12*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -18*d + 114. Determine v(0).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/42 and 4\/47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 74. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - (1 - -3)) + (18 - 24)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2587062 and 11955?\nAnswer: 12935310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 2*z + 3*z - 3*z - 3. Let a = -6 + 3. Give f(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 - (11\/(-1) + (-4103)\/(-682))?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4387 divided by -5\nAnswer: 4387\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6640476 + 0.6655. Round z to 5 dps.\nAnswer: 0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 > 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(sqrt(17) + -4).\nAnswer: -4*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(392))\/sqrt(8))\/(sqrt(84)\/(sqrt(144)\/sqrt(192))).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y + 39*y - 98 = 0. Let g = -97 + y. Is (4240\/4 - -1) + (1 - g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 136, 217, 302, 391, 484?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -668 (base 11) to base 14\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 4, 4, 2, -2, -8, -16?\n\"Answer: -v**2 + 5*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/52 - 18\/36.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -y - 5724496, 0 = 619*t - 623*t - y + 4579604. What is t rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - t - 11, 73*t = -5*n + 71*t + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -543428235*m**4 - 292998646*m**2 wrt m?\nAnswer: -13042277640*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -668862 (base 11) to base 9.\nAnswer: -2004042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4307, 8629, 12951, 17273?\n\"Answer: 4322*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)*(-150 + -8). Let n = l + 478\/3. Solve -n*y**3 - 5\/3*y**2 - 1\/3*y**4 - 2\/3*y + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141831*j**2 - 141805*j**2 + 33*j - 6*j - 3*j - 12*j - 12*j.\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 693 - 693. Is -2 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 68 = 2*t, 3*t - 51 = -3*v. Let w(f) = -f**3 + 15*f**2 + 36*f - 2. What is the remainder when 62 is divided by w(v)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 19*g**2 - 4*g + 3. Calculate the smallest common multiple of 33 and b(1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224 - 441?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from {s: 1, b: 5, f: 1, g: 2, h: 6, n: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - r + 9 + 38 = 0, 5*r - 39 = -m. Solve 5 = 5*b + 4*z, m = -3*z - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1\/4, 0.15, 5, -1 in decreasing order.\nAnswer: 11, 5, 1\/4, 0.15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19 + 3*p + 9 - 316*p**2 - 3 + 9 + 12 wrt p?\nAnswer: -632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 1\/18*h**4 + 4\/27*h**3 + 0*h + 1 + 0*h**2. Factor y(d).\nAnswer: 2*d**2*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*c + 444*c - 78130 = 5*c - 619*c for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4546 is divided by 48.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 51\/68 + (-5)\/(-4). Suppose x*l + 3 = 5*l. Put l, 3, -4 in decreasing order.\nAnswer: 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -28*s + 14 + 16*s**2 + 6*s - s**3 + 12*s - s. Is h(6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 + 1666254*g = 0 for g.\nAnswer: 0, 555418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 1 = -5*c - 11, 0 = -c - 5*b + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -4*a + 7*a. Let p = a - -85. Suppose 3*r - 21 = 4*h - 0, 0 = -2*r - p*h + 31. What is the lowest common multiple of r and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*s - 2*s**2 + 6*s + s + 2*s wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255054744 by -2.\nAnswer: 127527372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1950\/(-585)*(-18)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 5. Let q(g) = -1. Let c(i) = -18*q(i) + 4*s(i). Let z be c(1). Suppose -8*w = 8*w. Solve -4*p + 5*p + 2*a + 3 = w, z*a = 2*p - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662675 is divided by 94632?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -760487 by -793.\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -2, 72\/5, 4, -32?\nAnswer: 72\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -50759 and 4880280685.\nAnswer: 4880229926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 + 15*b**3 - 2 + 20*b - 13874*b**2 + 13874*b**2 in the form a*b**3 + q*b**2 + j*b + x and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-63) + (-210)\/2700?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*x = 35, 3*k - 17 = 4*x + x. Suppose 4*u + p = 7, -5*u + 3*p + 2*p = -40. What is the remainder when k is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*-1*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:39 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1243*t**2 + 4967*t**2 + 2375 - 1247*t**2 - 1240*t**2 - 1238*t**2 to the form b + y*t + r*t**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*t + 77. Let i = t + 27. Suppose i = s - 8 - 5. Calculate the remainder when 48 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(50) + sqrt(50))\/sqrt(10) - -4*sqrt(20))**2 - (((sqrt(80) - sqrt(80)*2) + -1)**2 - (-1*-2*sqrt(80))**2).\nAnswer: -8*sqrt(5) + 739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 26. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 4, v: 2, u: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 53*z - 259 = -18*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1775?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -2*h**7\/21 + h**4\/12 + 2*h - 2. Let o(b) be the first derivative of q(b). What is the third derivative of o(d) wrt d?\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29590163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*sqrt(5) + 4 - (sqrt(500)*4 - sqrt(500))**2*2) + 4.\nAnswer: -8992 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/1*(36 + -23). Calculate the greatest common factor of y and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87096331 <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4839 + 4871 - (30 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 less than -13?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - u - 5 = 3*q, 10 = -5*u. Let g(t) = 3*t**3 + 1 + 20*t + 76*t**2 + t**3 - 68*t**2 - 5*t**3. Let z be g(10). Sort z, -2, q, -7 in increasing order.\nAnswer: -7, q, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = -19*l - 2*v - 30, -3*l - v - 17 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21 - 4)\/(-5) - -106 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 49*z. Determine s(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -85 (b) -5\/3 (c) 1\/6 (d) -0.2 (e) 3\/4 (f) 22\/7 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7992204.\nAnswer: 2, 3, 11, 191, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.717 + 0.283. Put 5, -0.29, g in ascending order.\nAnswer: -0.29, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.5 - -14.500158. Round z to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, w: 12}. What is prob of sequence xxw?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325, 658, 991?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**8\/3360 + m**5\/120 - m**4\/6 - m. Let p(i) be the third derivative of n(i). What is the first derivative of p(u) wrt u?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3471 is divided by 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2788 is divided by 422?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 738163*t**3 + t**2 - 1. Let a be c(1). Suppose 3*r = 130388 + a. Let o = -90483 - r. What is o rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (-5 - 4) - 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1155)\/42*(-8)\/10. Suppose 2*v = 2*k + 10, 0 = -4*k + 5*v - b - 2. Put 5, -10, k in increasing order.\nAnswer: -10, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 2. Let o(y) = -y + 47. Determine -4*b(c) + 2*o(c).\nAnswer: 2*c + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 1. Let y(j) = -8*j + 5. Let r be 2\/(-13) + 8\/52 + 97. Let c = r - 91. Give c*p(n) - y(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-251)\/(-11) + 42903\/(-2043)?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*f + f. Let l(d) = -2*d**2 + 2*d + 7*d**2 - d - 2*d. Does 6 divide l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6859238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o**4 - 380*o**3 - 2395*o**2 + 31910*o - 71400 = 0. What is o?\nAnswer: -10, 4, 21\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1311669, 2623336, 3935003, 5246670, 6558337?\nAnswer: 7870004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -2946537.\nAnswer: 26518833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 4. Let a(s) = -7*s - 16. Let p(g) = 6*a(g) - 22*o(g). Let u = 26 - 18. What is the units digit of p(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 1\/35*s**5 + 0*s**4 + 0*s**2 + 0 - 1\/147*s**7 + 1\/105*s**6 + 0*s**3 - 5*s. Let l(p) = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 k when three letters picked without replacement from {o: 4, k: 6, e: 3}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -131 in 4\/5, 125, 0.1, 1\/4, 0.33?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 262009 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 -19, -27, -31, -25, -3?\n\"Answer: j**3 - 4*j**2 - 3*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9632 + -895760\/93. Find the common denominator of t and -77\/15.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5595311*v**5 - 19*v**2 - 466833*v + 20.\nAnswer: -111906220*v**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1492*x**3 + x**2 + 1496*x - 2.\nAnswer: 8952*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/6 + 4)\/(-3). Is -63 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15 + 63\/105?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -0.6.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {c: 2, s: 7, e: 3}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271207467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13398 divided by 33?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5852*n - 14953. Is d(-8) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(208) - (sqrt(208) + sqrt(13) + sqrt(13))*2 - -2*(sqrt(1053)*3)**2.\nAnswer: -16*sqrt(13) + 18954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/35, 4, 1\/5, -5, 7 in increasing order.\nAnswer: -5, 1\/35, 1\/5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:15 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 1, u: 1, z: 1, d: 2, b: 1}. What is prob of sequence dzdo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -442*z + 401*z - 535*z - 947*z - 988*z in the form r*z + w and give r.\nAnswer: -2511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 18*y**2 + 32*y + 289. What is h(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7658763*m**2 + 39*m - 22973 wrt m?\nAnswer: 15317526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39537 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2577475.\nAnswer: 5, 103099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6886 divided by -744.\nAnswer: 3443\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/4 - 380877*d**3\/2 + 48357286527*d**2\/4 - 48355001289*d + 48354239547.\nAnswer: 3*(d - 126957)**2*(d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 0*p - 2*p)*(-354*p**2 - 2*p + 1049*p**2 - 352*p**2 + 418*p**3 - 361*p**2) to m*p**4 + h*p**3 + i + a*p + w*p**2 and give m.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)\/f**(1\/8))\/(f**(-4)*f**(-3\/2))*(f**(-4)\/f*f**6)\/(f\/(f**0\/f)*f**1) assuming f is positive.\nAnswer: f**(143\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12 + 12 + 9*o**2 + 13*o**2 - 25*o**2. Let v(d) = -370*d. What is v(k(u))?\nAnswer: 1110*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 5*n + 6. Let m be k(-3). Suppose 0*c - 4*c + 12 = m. Suppose 0 = -c*q + 1221 + 276. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 125 - 121. Suppose 3*k - 12 - 7 = -n*f, 3*f = -k + 11. Solve 0 = -3*s - c + 8, 5*c = k*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let p be g + 2 - 2*1. Let k = 3 - p. What is the remainder when 4 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 12*i**2 + 13*i - 13. Give h(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2448, -2550, -2736, -3018, -3408?\n\"Answer: -2*s**3 - 30*s**2 + 2*s - 2418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 144 = 35*m, -5*b + 4*m + 77 = 51 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*b, -20 = -4*w - 0*b - 4*b. Let t = w - -1. Suppose -5*z + t = 0, -3*z - 5901377 = -4*x + 1258617. Round x to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*b - 41. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from tttttttttttuttttttu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/57237?\nAnswer: -2\/57237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -479*a**2*o**6 + a**2*o**4 + 3*a**2*o**2 + 2*a**2*o - 39*a*o**2 wrt o.\nAnswer: -57480*a**2*o**3 + 24*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + 0.23. Let q = h + 0.06. What is q rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*l + 29, -l + 43877*i - 43880*i - 4 - 13 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * 12.3.\nAnswer: -750.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) -174 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {k: 3, x: 1, t: 2, r: 7, s: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*i + 192, 4*i = -3*l + 3*i + 125. List the prime factors of l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42652 + 42652 - 3818*b to o*b + y and give o.\nAnswer: -3818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6927 = -457*d + 1143*d - 13653 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8680 = -4539*b - 94921 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = y. Suppose 22 = 5*u + y. Solve -4*g + 3*f = -0*g, -u*f + 23 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008302456 to four decimal places.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 9 = -3*j, 0 = -24*j + 21*j - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1190 = 293*t + 4377 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 385 - 385.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 - 6*w. Let c(x) = 53*x**2 - 110*x**2 + 58*x**2 - x. Determine 3*b(s) - 16*c(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 11:16 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-14\/5)*d*d\/(d*d**14*d))\/(d*d*d**22*d*d*(d\/(d\/((d*d**41\/d*d*d)\/d))*d)\/d) assuming d is positive.\nAnswer: d**(-391\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -378 and -7094.45.\nAnswer: -7472.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-18))\/(((-3)\/(-14))\/((-390)\/(-455)))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v + 25. List the prime factors of f(-11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 4:25 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.6 in -5, 0.3, -2\/5, 1\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(1 + (-2 - 1)). Let b = -201 - -204. Let f be b + a\/(-15)*(2 + 8). Let o(k) = -k**3 - k**2 + k + 1. Calculate o(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 + 3*a**5 - 2*a**5 + (-1 + 0 + 3)*(-a**5 + 0*a**5 + 2*a**5).\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 2:33 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 7:42 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 380 - 10*m**2 + 225 + 80 - 7*m**2 + 15*m**2 in the form j*m + f*m**2 + b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -197059 and -197059 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, v: 3, e: 1, m: 3, y: 3, f: 2}. Give prob of sequence yyy.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 + 120001040*m\/3 - 7200124800540800\/3.\nAnswer: -(m - 120001040)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/2595 and -35\/10569?\nAnswer: 9142185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 6:11 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.63 - 111658146.\nAnswer: -111658146.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2 + 312*m + 1187. Let y be x(-41). Solve -2*w = -3*h - 19, 161*w + 2 = h + y*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58807464 is divided by 163?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 21 + c**2 - 19 - c + c**2 - c**2. Let j be p(7). Let b = j + 13. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4416 and 309189?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 57*o + 2. What is the units digit of q(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) -749 (c) -5\/3 (d) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112112 + -112137.0334. Let s = w - 3.9632. Let u = 29 + s. What is u rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khkhacahkhrzhra. What is prob of picking 1 r, 1 c, and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/(-6) + (-1)\/6. Let w be (-8)\/((-35)\/(-10) - n). Solve j + 3*j - w = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 520.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -6528782\nAnswer: -2611512.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5683 + 1.901.\nAnswer: 5684.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6075288\/35 bigger than 173581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*w - 4*s, -w + 0*s + 4*s + 20 = 0. Suppose -y + 13 = w*v - 0*y, -4*y = -2*v - 16. Factor -4*f**2 + 2*f**3 + 4*f**v - 4*f - f**3.\nAnswer: f*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.7 equal to -8232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*k + 8 = -3, -2*k + 100 = 4*f. Suppose t + 21 - f = 0. Solve 6*n - t*n - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*b**3*p - 1825*b**3*u**3 - 53*b**3*u**2 + 2*b**2*p*u**2 + 4*b**2*p*u - 14*b*p*u**3 - 39*b*u**3 + b + 2*p*u**2 + 10*u wrt u.\nAnswer: -10950*b**3 - 84*b*p - 234*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 22 = -194. What is the smallest common multiple of l and 684?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l + 163 - 168 + 0*l + l wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2. Let i(h) be the second derivative of -1\/12*h**4 + 0 + h + 0*h**2 + 0*h**3. Determine v(i(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from ooggpgo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 32*f = -30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*12\/(-42).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -2. Let l = -5\/12 + 2\/3. What is the third smallest value in l, z, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33296, 32471, 31644, 30815, 29984, 29151?\n\"Answer: -s**2 - 822*s + 34119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -285*r**3 + 974*r**2 + 5864850.\nAnswer: -855*r**2 + 1948*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 777, 1313, 1839, 2349, 2837, 3297?\nAnswer: 3723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130064)\/10346)\/(((-8)\/14)\/2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 4*w - 2*w)*(-4 + 6 + 1)*(-1 - 1 - 1).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g - 1853. Let n(w) = -2*w + 461. Give 9*n(o) + 2*r(o).\nAnswer: 2*o + 443","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 6, d: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 2) + 5 + 26. Suppose w = -4*u + 135. Suppose 0 = 31*m - u*m - 1772. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5642670 (base 8) in base 3?\nAnswer: -2212111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 424 - 421. Let h(u) = -u**2 + 14*u - 1. Let v = 1 - -8. What is the remainder when h(y) is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y. Let w(o) = 10*o - 47*o + 11*o + 15*o. Determine i(w(d)).\nAnswer: -77*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -893, 4, 2 in ascending order.\nAnswer: -893, 1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6523719?\nAnswer: 3, 2174573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 1, s: 1, a: 2, p: 1, q: 2}. What is prob of sequence ac?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3)*(-1 - -4). Let b be (6\/15)\/(x\/20). Solve -5*w + 15 = -b*l, 4*w - 1 - 11 = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15520, 124354, 419812, 995206, 1943848, 3359050, 5334124?\n\"Answer: 15552*h**3 - 30*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1001 and 494305?\nAnswer: 70685615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -2, 3, -534, 48, -5 in decreasing order.\nAnswer: 48, 3, 1, -2, -4, -5, -534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -116715039, -233430076, -350145113?\n\"Answer: -116715037*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216\/77 - -1095\/308. Let m(a) be the second derivative of 1\/6*a**6 - i*a**5 + 10\/3*a**3 + 13*a + 0*a**4 + 0 + 0*a**2. Factor m(u).\nAnswer: 5*u*(u - 2)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*u + 66, -u + 3*g - 13 = -0. Let l be (-4)\/(-2) - u\/5. Suppose z + 7 = -l. Do -14 and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/2943 + -1997980\/2943. Let v = 686 + q. Let m = 1804\/3 + -590. What is the common denominator of v and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 69*p. Let r be f(1). Suppose j - r = -2*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.11 + 26.89. Let l = -23.8399 + -0.0001. Let r = l + b. Round r to one dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3*l - 2*f**3 - 71*f**2 + 7434*f + 107458204*l**2 - 7 wrt l?\nAnswer: -f**3 + 214916408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308144095 - 18.02.\nAnswer: -308144113.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 3*i - i**2 + 2*i + 0*i + 7. Determine p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1. Let b(m) = -m**2 + 6*m - 2. Let s(x) = -b(x) - 3*t(x). Give s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-45)\/(-12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2662496 - 2662495.979999908. Let z = 0.02 - t. Round z to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p + 1 - 1 + 24*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187 + 478. What is the remainder when h is divided by 272?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 - 8*h + 7. Let v = 38 + -23. Calculate the remainder when f(6) is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29.21 (b) -3\/4 (c) 0.2 (d) -581 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99117485.\nAnswer: 5, 19823497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**18)**39 assuming w is positive.\nAnswer: w**702","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -19.76988?\nAnswer: 79.07952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269 - -518. Let z = -248.5 + r. What is the closest to 1 in -2, -0.9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g - 1. Let q be x(8). Suppose -q = -3*c + 871. Round c to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160 - -163. Let r(t) be the second derivative of t**5\/10 - t**4\/6 - 3*t**2\/2 + t. What is the units digit of r(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001998318 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.416 + 15.9931\nAnswer: 14.5771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4681 - 11156930598.6.\nAnswer: -11156925917.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from yxajxaalxjijyy.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -422012124 + 3?\nAnswer: -422012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -606*w - 1. Is d(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4)*d*d\/((d*d**(-3))\/d)*d*(d**(-15)\/d)\/d*d\/d**(-1\/5))**2 assuming d is positive.\nAnswer: d**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -1077.54195984.\nAnswer: 1080.54195984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 126872 - 126854 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 8 = -17*y. Suppose -72 = y*n - 20*n. Put n, 0, 1, -3 in ascending order.\nAnswer: -3, 0, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -362*j - 481 + 481 to r + d*j and give d.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 102185863 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*i + 67*i - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 280 - 280.000153. What is c rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4162 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 1739, 5867, 13903, 27149, 46907, 74479?\nAnswer: 111167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n - 32*n = 10437 - 2868. What is the remainder when 376 is divided by n?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-4)*(30\/150 - 623\/15). Is 88 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*5\/18)\/(43\/((-1419)\/(-22))).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42265.4 + -42265. Which is the nearest to -0.3? (a) k (b) -1\/77 (c) 2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Let s = 41.5 + -42. Suppose -5*j + 4*j + 2*d = 1, 0 = -5*j + 5*d + 10. Which is the nearest to -0.1? (a) s (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2955191306 and 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -7. Let t = -2677333\/55 + 48672. Let a = 33\/5 + t. What is the biggest value in a, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211*s**4 + 20*s - 43 wrt s.\nAnswer: 2532*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 9*g - 284. Let y = -67 + 114. Suppose -4*c + 0*u + y = -u, 5*c - u = 58. What is the least common multiple of h(-22) and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/6 and 2\/62895?\nAnswer: 125790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 + 46*j - 493 = 0. What is j?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) - (-402)\/18. Let n be 9\/3 + -5 + 0. Let u(w) = -27*w**3 - 3*w**2 - 2*w - 1. Let g be u(n). What is the highest common divisor of d and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4220 is divided by 1052.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*d - 4, 9*n = 10*n - 2*d - 12. Let q(v) = -v. Let r be q(-16). Let j = 0 + 0. Put r, n, j in descending order.\nAnswer: r, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*v - 3*v - 1 = 0, -17 = -4*l + 3*v. Suppose -544 = -l*o - 2*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 2:22 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (176\/(-110))\/((-4)\/50). Let y = -22 + f. Sort -18, y, 3 in increasing order.\nAnswer: -18, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/49530840 and 167\/853980?\nAnswer: 49530840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 2*n + 12 + 3, 3*y = -3*n + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkk. What is prob of picking 2 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/6 (b) 3 (c) 11.62 (d) 1.7 (e) 93 (f) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190.0093 + -190. Round h to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -199*b. Let n(l) = -l**2. Give x(n(s)).\nAnswer: 199*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 4*b - 3. Let a be x(-5). Calculate the remainder when 35 is divided by 11 + (2 - a)*(-10)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 15*l - 10. What is w(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = 5*g - 3*g, -3*g = -3*x + 9. Let q(b) = -b**3 + b**2 - b + 80. Let d be q(g). What is the highest common factor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*sqrt(117) - sqrt(117))*5*-4)\/(((sqrt(180) + sqrt(180)*2 + sqrt(180))\/sqrt(4))\/(sqrt(320) - sqrt(320)*2)).\nAnswer: -480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - w + 4*w - 2*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-152))\/(784\/(-2793))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-4)\/(-6))\/2. Let x = 1 + -3. Suppose 29*i - 26*i = -15. Which is the nearest to y? (a) x (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, 0, -0.25, -5 in descending order.\nAnswer: 2, 0.5, 0, -0.25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a - 168. Let g(c) = -a*c**2 + c**3 + 12*c**2 - c + 28 + 7*c**2. Let x be g(23). Sort 11, -2, x.\nAnswer: -2, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 836 + -483. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3890.7195 - -1.7195. Sort -1, 3\/2, t in descending order.\nAnswer: 3\/2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -194 - -195. Let n = 0.3 + -0.1. Let d be (-58)\/18 + 1 - -2. Which is the nearest to n? (a) -1 (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1938833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (-35)\/(-5)) + (-38)\/2. Let y be ((-12)\/(-14))\/(57\/v + 3). Suppose y = 5*j + 13, 5*u - 4*j = 283. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000514079 to seven decimal places.\nAnswer: 0.0000514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3491208 and 3574332?\nAnswer: 150121944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4156445, -16625788, -37408025, -66503156, -103911181?\nAnswer: -149632100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*t - 477*t = -954*t - 78 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56088 + 13371 = 1473*u for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4 - 1 + r**2 + 16 - 10*r + 3*r**2. Is t(7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 3\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 359.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*b + 1, 5*p - 4*b - 29 = -24. Let q = 1.1 - 1.1. What is the biggest value in p, -2, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -418 * 133.\nAnswer: -55594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Suppose -6*j + 3*j + 24 = -3*g, c*j - 5 = -2*g. Suppose -3*m + 310 = 2*s, -j*m - 5 = -17. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 3*a**2 + 41. Let c(t) = t**3 - t - 5. Calculate 2*c(z) + n(z).\nAnswer: z**3 - 3*z**2 - 2*z + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 36*u**2 + 2*u - 2. Let j(h) = 3*h**2 + h + 1. Determine -i(x) + 4*j(x).\nAnswer: -24*x**2 + 2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414 a factor of 11709014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - g - 4. Let i be v(-2). Suppose 0 = 4*o + d + 27 - 214, i*o + d - 93 = 0. Let t(r) = o*r - 25*r - 23*r. Let p(l) = 9*l. Give p(t(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000872226 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1859848 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/1638967?\nAnswer: 2\/1638967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 0*n - 3*n + 3*n. Let m(d) = 4. Let v(u) = -1. Let x(f) = 2*m(f) + 9*v(f). Let t(y) = -7*y**2 - 5. Let k(q) = t(q) - 5*x(q). What is o(k(j))?\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/80 + 125\/(-750).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 31*u + 5. Let w be x(-31). Let k = -4 - -6. Suppose 4*n - 25 = -k*r + 223, -676 = -w*r + 4*n. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b2 - -11?\nAnswer: 4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v + 21. Let m(d) = 2*d + 1. Let p(i) = k(i) + 6*m(i). Let w be p(-18). Solve -3*f = a + 7, 3*a - 26 = 5*f + w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3926 - 3926 - 11366*p**2.\nAnswer: -11366*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1684187 + -1684143.99844. Let v = 41.98 + 1.02. Let s = v - d. Round s to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 11)*(1443\/195 - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 - 17 = 0. Let y(k) = 6*k**2 + 12*k + 12. Let d be y(w). Suppose 0 = -g + 5*b + d - 26, 4*g - 3*b - 270 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(-17614)\/4*(609\/(-29) + 20)?\nAnswer: 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121122 + -102?\nAnswer: 121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3717 - 2) + (-3 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2368226596 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/6)\/(3\/3). Let i = 47 - -6. Let u = i - 56. Which is the nearest to v? (a) 0.4 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8725 is divided by 792.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.4909223 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -29*f**2. Let q(x) be the third derivative of -5*x**5\/12 - 2*x**2 - 24*x. Calculate q(v(i)).\nAnswer: -21025*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -19*m + 18*m + 4 - 10. Let z be j(-6). Let w = 22 - z. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 16*s**2 - 4*s**2)*(-s + 2 - 2 + (3 + s - 3)*(-3 - 3 + 4) + 3 - s - 3 - 2*s + s + 0*s).\nAnswer: -55*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 2*o - 2*o.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let w be j(2). Suppose 3 = x + w. Suppose 31*o + 153 - 150 = 344. Solve -4*c = -x - o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39075 and 134825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 903 and 7525?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 73 - (27 + -62 + 73)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - g - 42 = -0*g, -2308*f + 4*g = -2306*f - 116 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13210132 (base 4) to base 13\nAnswer: -11161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4573 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 581459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) -0.157 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 843 - 843.00015952. Round v to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/18)\/(1\/(24\/56)). Let c(g) be the second derivative of g - 1\/21*g**4 + 0 + 1\/35*g**5 - q*g**3 + 2\/7*g**2. Determine s so that c(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376972589 divided by -6.\nAnswer: 376972589\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6328800 divided by -17580\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -144, -278, -460, -690?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 238*p - 62. Calculate the remainder when b(1) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 7*z + 31151 = 6*z + 31043 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 7*l. Let y(v) = -v**2 + 5*v. Let o(k) = -5*g(k) + 7*y(k). Let f(d) be the first derivative of 6 + 0*d**3 - 4 - d**3. Determine f(o(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m = -44. Suppose -4*b = -2*l - m + 116, b + 216 = 4*l. Calculate the highest common factor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 6*m = -m + 4*s - 313, -300 = -25*s. Let d(j) = 126*j**3 - j**2 + 3*j - 3. Let y be d(2). What is the highest common divisor of m and y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-3)*(-12)\/(-4)*-3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**3 - s**2 - s + 1. Let l = 1 + -7. Let n = l - -12. Let d be (n\/(-9))\/((-6)\/9). Let a(t) = -t**3 + t**2 + 1. Give d*x(o) - a(o).\nAnswer: -2*o**3 - 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let d(o) be the first derivative of -o**2 - 24*o + 7. Give b(d(r)).\nAnswer: -4*r - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, k: 1, y: 3, l: 2, i: 1}. What is prob of sequence aaal?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.12 - -43.12. Put b, 5, -76, -0.2 in descending order.\nAnswer: 5, b, -0.2, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*q + 6 + 9 = 0, -a = -4*q. Let n be (a\/6)\/(1\/(-3)). Suppose 4*f = 4*h - 60, f = n*h + 5*f - 12. What is the lowest common multiple of h and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -9 + 1. Let p be 8\/(-10) - 29\/(-5). Let h(u) = p - 5*u + 2*u + 2*u - u. Calculate h(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f - 918. Let k(s) = -4*s - 612. Calculate 7*k(b) - 5*r(b).\nAnswer: -3*b + 306","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-5*sqrt(220)\/sqrt(4))\/sqrt(11))**2 + sqrt(40)\/(sqrt(40)\/(sqrt(5)*-2))) + 0.\nAnswer: -625 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 65. Let q be z(29). Solve q*m = 11*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.8 - -6. Let w = -6.7 - -7. Let v = w - q. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6536)\/532 + (12 - 0). Suppose -p + 7 - 3 = 0. What is the closest to o in -2, 1\/3, p, -71?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 133?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 3*y. Let q be u(2). Suppose 5*z = 4*z - 3. Let l be (z - -1)\/(2\/(-8)). Solve -4*n + q*n + l = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - 1) + (-168840)\/(-6030)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-21) + (-278)\/7. Calculate the common denominator of (1 + 156\/l)*-1 and -79\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1149 - -1629. Is 32 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = o + 66. Calculate the highest common factor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697360 rounded to the nearest one thousand?\nAnswer: 1697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.24 - 0.13. Let j = -0.39 - x. Which is the third smallest value? (a) j (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1673 divide 49805695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170.808 - -172. Let f = g - 0.192. Put f, 4, 2 in ascending order.\nAnswer: f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8058776 by 11.\nAnswer: 732616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -333.8 to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.129 - 27.6859?\nAnswer: -27.8149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -12*m - 78. Determine o(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.025275 rounded to 2 decimal places?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1126*g**2 - 2*g + 4. Let y(s) = 28152*s**2 + 51*s - 102. Let t(i) = -51*j(i) - 2*y(i). Let a(d) = -2*d**2. Calculate a(t(f)).\nAnswer: -2517768*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50596 is divided by 2525.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, r: 2, c: 1, w: 1}. What is prob of sequence crw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 3*c**2 - c - 5. Calculate r(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 13.1. Let o = -12 + 14. What is the nearest to s in 3, -2\/13, o?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f + 17. Let j be i(-5). Let m = j - -36. Calculate the remainder when 2\/3*(-21)\/(-1) is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 48.77?\nAnswer: 29.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19996 - 19995.9. What is the biggest value in -1\/8, p, -0.2, -0.5, -13\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -124, -195, -270, -349?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 2*w + 1540, -5*x + 4*w + 1931 = 0. What are the prime factors of x?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3811, -3803, -3795?\nAnswer: -3787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-29 - -49) + 32\/(-4). Solve u*j + 80 = 28*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*u**2 + 0)*(-u**3 + 0*u**3 - u**3) + u**5 - 2*u**5 + 3*u**5 + 3*u**5 + 3*u**5 - 4*u**5 + 267*u**5 - 135*u**5 - 14*u**2 - 135*u**5.\nAnswer: 5*u**5 - 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*i + 12 - 4, -3*h = 0. Solve -i*j = 4 - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 6, n: 5, e: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1930 and 9964334245.\nAnswer: 9964336175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j**2 - 37*j + 5. Let w be k(4). Let q(l) = -l**3 - 7*l**2 - 6*l - 8. Let p be q(-7). What is the highest common divisor of p and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q - 5*h = -319, -2*q + 147*h = 148*h + 2 - 13 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - l + 107. Let f be x(0). Suppose 4*h - f + 31 = 0. Suppose -h = -t - c, 3*c - 5 = 2*c. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169\/28 - 23\/4. Let p = 1 + -2.9. Let k = -2 - p. What is the second biggest value in 4\/3, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 129701479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6606654 to the nearest ten thousand.\nAnswer: -6610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 5:05 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 55 + 159 = 0. Let s = 190 + -610. Let u = g - s. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156.377 - 283479\nAnswer: -283322.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3568*i - 3586*i - 495 = -7109*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**2 + 9046*k - 4522 = 0.\nAnswer: 1\/2, 2261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 (base 13) in base 10?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 319*k + 11157. What is z(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose -250 = -3*b - p*r, 4*r + 111 = 2*b - 77. Let c = b + 22. Is 36 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 740\/(-108) + (-20 - -27) and 4\/6 + (-215)\/185.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 11222?\nAnswer: -12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4\/5, -2, -0.0218?\nAnswer: -0.0218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86\/111 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 2\/19 (c) 2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 572076 + t - 5*t**3 - 4*t**4 + 4*t**4 - t**2 + 572058 - t**4 to v*t**3 + h*t + m + p*t**4 + a*t**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(1 + -3)*-1. What is the common denominator of 41\/20 and (-228)\/64*z*2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -537479*r**3 + 1574565 wrt r.\nAnswer: -1612437*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 21. Let x(y) = 18*y + 3*y - 16*y + r*y. Let f(q) = -q. What is x(f(v))?\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*h + 5*h - 21, -3*m = -2*h + 42. Let l be 2*((-18)\/m - -1). Solve 4*t = 17 - l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.24 + 80.24. Let i = -4998.112 - -4919. Let j = b + i. Round j to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -635270?\nAnswer: -635271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 304 - 303.6. Which is the smallest value? (a) h (b) 10\/9 (c) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357385757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514*v**3 - 6120*v - 6118*v + 12236*v + 1055*v**3.\nAnswer: 1569*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w**(-3)\/w)**(-15) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -922.09 in 2\/5, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 83, 120, 143, 146, 123, 68?\n\"Answer: -o**3 - o**2 + 47*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/20 - 9\/(-15)) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 35 = 4*r + 1, -5*r = 25. Calculate the remainder when (-19)\/((c + 3)*1) is divided by 47\/9 - (-6)\/(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 17688*l + 353750. Give v(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 259645212, 259645211, 259645210, 259645209, 259645208?\n\"Answer: -z + 259645213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 2)*(-10 + 10 + 7*a)*(0*a + 0*a - a) in the form z + u*a**2 + n*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39555423*s**3 + 438*s**2 + 218*s - 27?\nAnswer: -237332538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -641847?\nAnswer: -1\/213949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3.5. Suppose 2*l - 28 = -5*p, 1 = -p + 3. Suppose 5*w - i + 1 = 9, 3*i = -l. Which is the closest to w? (a) x (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + 4. Let i = -49 + j. What is n in -51\/5*n - 24\/5*n**3 + 48\/5*n**i - 6\/5 - 117\/5*n**2 = 0?\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 g, and 1 e when four letters picked without replacement from {o: 4, g: 2, r: 2, e: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 1215 = 152*a - 3183 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.512664 and 6?\nAnswer: 9.075984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -622942, -622952, -622962, -622972?\n\"Answer: -10*h - 622932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -929, -662, -261, 352, 1255?\nAnswer: 2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40463670*c**2*l + 111360084*c**2 - 2 wrt l.\nAnswer: 40463670*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42, 202, 440, 732, 1054, 1382?\n\"Answer: -4*k**3 + 63*k**2 - k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1105*r**3 + 53*r**2 + 3*r + 4292. Let q(z) = -1547*z**3 - 75*z**2 - 4*z - 6008. Let v(u) = -17*i(u) - 12*q(u). What is the derivative of v(b) wrt b?\nAnswer: -663*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 3*z**2 + 2*z. Suppose 0*t - 5*t = -15. Let n(y) be the first derivative of y**4\/4 - y**3 + y**2\/2 - 253. Give t*a(w) - 4*n(w).\nAnswer: -w**3 + 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(57*r - 51*r - 72*r) to the form t*r + h and give t.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*c + 406, -107 = -y - 4*c + 8*c. Solve 19*g + 14*g = y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25350 and 915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 21*r**2 - r + 24. Let k be s(21). Suppose 78 = -0*c + k*c. Calculate the highest common factor of 39 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -164*d - 3. Let b(m) = 1476*m + 28. What is -28*a(i) - 3*b(i)?\nAnswer: 164*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 - 7*w + 11. Let r(m) = -m**2 - 2*m + 3. Let i(x) = 2*g(x) - 7*r(x). Calculate i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 - 13.0412793508?\nAnswer: -12.8112793508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 121.\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g = -45125 + 45038 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3\/5 (b) -4 (c) 2 (d) -2\/761\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 4. Let b(j) = 4*j + 3. Let u = 1 - 3. Let k(q) = u*d(q) - 3*b(q). Calculate k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = -3*u. Suppose 0 = -5*p - 3*b + 431, p - u*b = 2*p - 95. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7859893?\nAnswer: 659, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1456239 and -29\/842?\nAnswer: 2912478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 3781*j**2 - j**3 + 3693*j**2 + 4*j**3 - 3*j**3.\nAnswer: j**3 - 88*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43120167 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.6216 rounded to one dp?\nAnswer: -46.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -55, -138 in ascending order.\nAnswer: -138, -55, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - j = -7, -2*d + 6 = d - 3*j. Suppose 3*p = -15, -q = q - d*p - 231. Let i = q - 54. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 10*f**2 + 25*f + 11. What is h(12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 + -4. Suppose -613 + 5 = 8*i. Let r = i - -75. What is the nearest to h in 5, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25031 + -14403?\nAnswer: 10426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 813898751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 - -132. What is the remainder when 71 is divided by (6*q\/(-16))\/((-27)\/180)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doddboodozdwdkkkwdwk. What is prob of sequence zb?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27482859 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -26?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*x + 16*x**2 - 77*x + 2*x**3 - x**3 to t*x**2 + n*x**3 + c + u*x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from heeqhz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/2812 - 131301\/2052\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j + 0*j - 12*j + 2*j in the form c*j + v and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17 + -4 - (-1 + 7). Let o = -62 - -92. Solve -q*n = -n + o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.02 - -0.12. Let k = -140.762 + 141. Let n = k - 0.038. Does n = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 10}. What is prob of picking 3 b?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 19711120?\nAnswer: 19711120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from ajktkap?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = h + 45, 0 = -v - h - 1 + 4. Let l(m) = -m**3 + 5*m**2 - 4*m - 1. Calculate the remainder when v is divided by l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 4. Suppose -5*f = -6*f + i. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 15, k: 5}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5\/2*p**2 + 0 - 1\/2*p**4 + 0*p - 2*p**3 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 0 - 11\/2*s**2 + 13\/6*s**3 - 8*s. What is the derivative of h(x) wrt x?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from rrqrqrrrrrrr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**4 - 425184*x**3 + 2550996*x**2 - 3826456*x + 1700640 = 0?\nAnswer: 1, 4, 106290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 7*v - 79. Suppose -l - 5 = 3*s, 2*s + v = -l + 3*l. Suppose 5*p - 335 = -l*r, 4*p - 1 = -5. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 3)\/((-3)\/(-6)). Solve q + j + j**2 + 2*j + j + j**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, u: 4}. Give prob of picking 2 u and 2 w.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37954.64 - -36739. Let m = 1194 + z. Let a = -22 - m. What is a rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 35. Suppose -10 = -5*v - 0*v. Suppose 46 = v*u - 46. Calculate the remainder when u is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57851 + -232527\/4. Let r = w + 280. What is the nearest to -3 in 2\/11, r, -0.02?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 3. Let w = z + -2. Let y(n) = -n**3 - 6*n**2 - 5*n + 5. Let x be y(-5). Put w, 0, x in ascending order.\nAnswer: 0, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*s - 24 + 26 = 0, -2*i + 2*s + 8 = 0. Solve i*u + 6 = 2*w, -2*u - 4*w - 6 = -0*w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -5 in ascending order.\nAnswer: -5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (331 - 124) + -205 - (-1 + 28)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3928 - 30*d + 3930 - 11787 + 0*d**3 - 2*d**3 + 3929.\nAnswer: -2*d**3 - 30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.8 + -11.8. Put 0.6, -2, z, -3\/4 in descending order.\nAnswer: z, 0.6, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000111 + 1221220?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -22. Which is the biggest value? (a) s (b) -1\/3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5 + 7. Suppose 14 = 3*a + 38. Let y(i) = i + 14. Calculate the remainder when y(a) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 36 = 3*g. Let k be (2 - -3) + (6 - 27). Let r be k\/g*(-15)\/20. Put r, 1, 2\/9 in descending order.\nAnswer: 1, r, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = -3*g - 23, -6507*g = 12*a - 6503*g + 76 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.820000311 - -3.82. What is h rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 5*w**2 - 13*w**2 + 9*w - 11*w.\nAnswer: -17*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 - i**2 - i**2 - i + i + i**2 + (0 + 0 - 3*i)*(-5*i + 4*i - 2*i) - 4*i**2 - 10*i**2 + 33*i**2 in the form p + q*i + f*i**2 and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, 5, 0.15, -20 in ascending order.\nAnswer: -20, -2, 0.15, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 15 = 0. Suppose k*j = 2*b + 2872, j + b - 578 = 5*b. What are the prime factors of j?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361929?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 586 - 559. Suppose 1923 + 5151 = i*f. Is f greater than 263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:33 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 12 (c) 18 (d) -4 (e) -36 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/13, -166, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2261 + -2263. What is the nearest to 3 in 6, -0.2, -0.4, x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98*q**4 + 7*q**3 - q**2 + 14*q - 1081733 wrt q.\nAnswer: -392*q**3 + 21*q**2 - 2*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 6*o + 4. Let g be j(-4). Let y be (4\/g)\/((-2)\/(-6)). Let p = -1 + y. Solve p = -k, -k - 20 = 5*f - 4*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-32 + (-142)\/(-14)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 0.3 (b) 1 (c) 914\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, d: 1, o: 1, h: 7, c: 2}. Give prob of sequence dzc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18 + 5\/((-5)\/12). Let l(n) = -63*n + 372. Determine l(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:36 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 3664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 17*a**6\/120 - 4*a**5\/15 + 12*a**2. What is the third derivative of t(s) wrt s?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -3. Let u be (x\/(-3))\/((-16)\/120). Let y = u - -14. What is the smallest common multiple of y and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -57 (c) -36 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 4*d - d + 3*d.\nAnswer: d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -6) + (3 - 5). Let o = -103 - -119. Suppose 9 + o = g*z. Solve -2*r + 4*p = 8, -5*r = -0*r - z*p + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1)\/91*-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - (-5 + 13 + -6) - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -2694?\nAnswer: -269a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 9*r - 5. Let l be m(9). Suppose 3*h + 5*t = 59, 8*h - 3*h - 3*t - 155 = 0. What is the remainder when 17 is divided by (-2)\/l + h\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -44*p**2 + 27*p - 19. What is x(5)?\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60, 245, 554, 987, 1544, 2225, 3030?\n\"Answer: 62*q**2 - q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 19834*p + 99147. Determine i(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*d = 0, -220*v - 219*v + 5 = -438*v - d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let z be w(5). Suppose 0 = -z*l + 3*o + 71, -3*l + 5*l + 4*o - 18 = 0. What is the remainder when 25 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -340\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4708, -18877, -42494, -75559, -118072, -170033, -231442?\nAnswer: -302299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1 - (-4)\/(3\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99)*1 + sqrt(99)))*-2)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -151300, -302723, -454138, -605539, -756920?\n\"Answer: b**3 - 2*b**2 - 151424*b + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393887?\nAnswer: 3, 11, 42239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5809 - 9596 = -190*z - 9895 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.8 - -16. Let x be 0\/(-3) - 3\/(-2). Which is the nearest to -1? (a) 0.4 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 13*d + 108 = 0. What is the highest common divisor of 153 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 0 - 34\/7*q**5 - 38*q**3 + 36\/7*q**2 + 0*q - 48*q**4 = 0?\nAnswer: -9, -1, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*h - 13, -3*l + 5*h + 0*h = 16. Suppose -4*d = -2*y + 4, -3*d = l*y - 18 - 6. Suppose 4*x - 2 = y. Solve -r = -x + 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*y, 5*v = 2*y - 3*y. Suppose v = -9*x + 8*x + 43. What is the second derivative of -x*b - 4*b**4 - 15*b**4 + 40*b + 4*b**4 wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74414\/31 + -730809\/310. Let i = -4754 - w. Let v = 1558\/3 - 17054\/33. Calculate the common denominator of i and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i - 3. Let r be c(-6). Let a = -23 - r. What is the smallest common multiple of 18 and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4533046, -9066085, -13599124, -18132163, -22665202?\n\"Answer: -4533039*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, 23, -4 in descending order.\nAnswer: 23, -2.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 5*w**3 + 1 + 4*w**2 - 3*w**2 + w**2 - 2*w**3. Calculate m(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*c**4 - 62*c**4 + 7*c**2 + 10*c**2 + 6*c + 142*c**4 - 11 + 3 wrt c?\nAnswer: 120*c**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1414*r - 275803. What is t(-195)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 369, 646, 911, 1158, 1381, 1574, 1731?\n\"Answer: -q**3 + 284*q + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.1 + -24. Let f = 3 - s. Is 2 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*1 + 9 + -5. Suppose 3*q - p - 21 = 0, q = k*p - 4*p + 3. Solve -a = a + q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46654617785.58061 - 46685750802.58. Let a = -31133151 - i. Let w = 134 + a. What is w rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11234, 11224, 11206, 11180, 11146?\nAnswer: 11104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3876434 is divided by 265.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1\/3, -0.1, 21.\nAnswer: -5, -1\/3, -0.1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 1. Let u(f) = f**3 + 5*f - 6. What is -20*p(j) + 4*u(j)?\nAnswer: 4*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 9, 13, 19, 27, 37, 49?\n\"Answer: k**2 - k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 13 = -0*d. Let k be 2 + 0 + 1 + 1. Let c be (-2)\/k*(-52)\/2. What is the highest common divisor of c and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.4156 to 0 dps.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -763922, -1527859, -2291810, -3055781, -3819778, -4583807, -5347874?\n\"Answer: -s**3 - s**2 - 763927*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 155306293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41\/22 + 4481\/110. Let n = 2641\/60 - h. Let s = -3007\/7 + 11961\/28. Find the common denominator of s and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x**2 + 0*x**2)*(-x + 5*x - 3*x) + x**3 + 20*x + 51*x**2 - 51*x**2.\nAnswer: -x**3 + 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**5\/7 + 330*u**4\/7 + 14736*u**3\/7 + 72616*u**2\/7 - 1375296*u\/7 + 3309696\/7 = 0.\nAnswer: -78, -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -81.\nAnswer: 10\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -1.7, -729, 27\/8?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 968616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k*n**2*p*s**2 - 3*k*n*p*s**2 - k*s - 32*n**2*s + 2*n*p*s + 2*s**2 wrt s.\nAnswer: -4*k*n**2*p - 6*k*n*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*c - 10583 = -217*c + 58*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 348.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2919560 is divided by 10427?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d**2 - d + 2. What is the tens digit of v(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 5*v**2 - 3*v + 12. Let d be h(5). Put 62, d, 3, 1 in decreasing order.\nAnswer: 62, 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 244?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7579 and 434759?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = -3*n + 12, -5*n = -4*u. Suppose -28 - 32 = -n*h - 2*k, -2*k - 45 = -3*h. Solve 0 = -c - 18 + h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y + 2. Let c be p(5). Let w = 23 + c. Suppose -4*d = -3*a - 229, 0 = -w*d + d + 4*a - 43. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x**3 + 3*x**2 - x. Determine l(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 21*v - 42. Let d(s) = -s + 1. What is -42*d(j) - u(j)?\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 - s**2 - 1. Let f be i(1). Factor 12\/5*x**f - 2\/5*x**4 + 24\/5*x - 26\/5*x**2 - 8\/5.\nAnswer: -2*(x - 2)**2*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7159555, 7159586, 7159617, 7159648?\n\"Answer: 31*i + 7159524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m = -6560 + 6084 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjzzjjjgjgpz. What is prob of sequence gzpj?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1273073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 311054 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 11:08 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61.8 + 47. What is y rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 474270, 948543, 1422816?\nAnswer: 1897089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 2. Let i(n) = -3*n - 4. Let r(v) = -2*i(v) + 3*x(v). Let l(p) = p - 1. Calculate -6*l(j) - 2*r(j).\nAnswer: -12*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 268 + -180. Let d be (-512)\/x + 4 - (-1 - 1). What is the nearest to -3\/2 in 2, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 3:57 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*a**2 + 17*a**2 - 18*a**2)*(-3*a + 3*a - 3*a**2)*((-2 + 5 - 1)*(-3*a + 3*a - 2*a) + a + 4 - 4) - 1393 + 1393 - 2*a + 2*a**5 + 2*a**3.\nAnswer: 470*a**5 + 2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -1\/15*g**7 + 0*g**6 + 0*g - 1\/84*g**8 - 66*g**2 + 0*g**3 + 0*g**4 + 29\/20*g**5 + 0. Find the third derivative of z(q) wrt q.\nAnswer: -240*q**2 - 336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1006*o + 29011213 = -929*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.088 (b) 5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -22*r + 138. Determine w(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407, 404, 399, 392, 383?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 3, f: 3, c: 2, i: 1}. What is prob of sequence tf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Sort -3, x, 5 in decreasing order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -289, -2, 31, -277 in decreasing order.\nAnswer: 31, -2, -277, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 + (-7)\/16184*-18436)*3\/(-25). Is r at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.273, 13, 0.4, 1\/2?\nAnswer: 0.273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8896938?\nAnswer: 2, 3, 31, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 214230759 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 - 87*q - 2753. Give z(-23).\nAnswer: 2422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 864\/189*(-315)\/60?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + -3 + -20 + 19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87590 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.169 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17761 and -0.03?\nAnswer: 532.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 2*a**2 - 6. Let k be d(4). What is the common denominator of (-12)\/(-4) + k\/(-7) and -3 - -1 - 39\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 10. Let o(d) = -7*d**2. Let u be o(1). Is k(u) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5592 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -4.61, 2, 8, -0.09?\nAnswer: -4.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s - 69. Suppose 14*y + 454 - 272 = 0. What is g(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 2}. What is prob of sequence jbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64084756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2312 and -151\/102.\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2. Let c be v(2). Calculate the common denominator of (-166)\/c*9\/30 and 13\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -89994, -90000, -90006?\n\"Answer: -6*r - 89988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**20*i*i**(-27))**(6\/7))**(-24) assuming i is positive.\nAnswer: i**(864\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**2 - 5*c + 30 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thhhrrphphrph. Give prob of picking 4 h.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.05, 1\/21 in increasing order.\nAnswer: -0.05, 1\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003883 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -116610845, -116610853, -116610871, -116610905, -116610961, -116611045, -116611163, -116611321?\n\"Answer: -n**3 + n**2 - 4*n - 116610841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 1 - (3 - 88). Suppose -4*b + 5*b - v = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2)\/((-60)\/30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 149.\nAnswer: -4172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039395 is divided by 486?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817*f - 50038 = 12508 + 2866 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -2*k**2 - 122*k + 2097. What is l(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + p. Let o(s) = -5*s**3 + s**2 + 6*s. Let v(a) = -6*j(a) + o(a). Suppose h - 3*z = 4 + 10, -3*h - 2*z = 2. What is the units digit of v(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60533 is divided by 20175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(4\/7)*a))\/(a*a*a**1*a*a)*a**(-3\/5)*(a**(-9)\/a)\/a assuming a is positive.\nAnswer: a**(-601\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6 - 0) + (10 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207922, 415865, 623808, 831751, 1039694, 1247637?\nAnswer: 1455580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1056 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(28)*1)**2 + -5 + 0.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1828*v + 171. Is a(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*w + 76 - 213 = 0, q - 3*w - 24 = 0. Calculate the remainder when q is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2834511899.\nAnswer: 103, 27519533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*k - 31*k**2 + 1 + 4*k**4 + 274*k**2 + 35*k**2 - 7*k**4 wrt k?\nAnswer: -36*k**2 + 556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -19. What is the smallest value in -4, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + j**4 - j**2 + ((j**2 - j**2 - 2*j**2)*(0 + 2 - 1) + 4*j**2 - 3*j**2 - 2*j**2)*(4*j - 4*j - 2*j**2).\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - 4) + (-46 - 2 - -50).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + 4770 - 4770 + 63*t)*(3*t**2 - 4*t**2 + 0*t**2).\nAnswer: -2*t**5 - 63*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9787, 19433, 29079, 38725, 48371?\n\"Answer: 9646*q + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334 a factor of 114035332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**14*(d\/((d**(-3\/7)\/d)\/d))\/(d\/(d**(6\/11)*d)) assuming d is positive.\nAnswer: d**(3686\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 85*i**5 - 1059*i**4 + 4295*i**3 - 6029*i**2 + 2040*i - 100 = 0.\nAnswer: 1\/17, 2\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 39 = o, 0*a + a + 27 = -2*o. Let h = a + 55. Suppose -h = -3*n - 2*d, 2*n - 6*d - 45 = -d. Calculate the highest common divisor of 50 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 + 4*l**4 + 0*l**4 + (2*l**3 + 0*l + 0*l)*(0*l - l + 0*l) + 3*l**4 + 3*l**2 - 3*l**2 + 49*l**3 - 49*l**3 + 17*l**4.\nAnswer: 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2880?\nAnswer: 1\/2880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/2)*z**(1\/7)*z**(1\/4)*z**(-4\/9))\/(z**(-2\/9)*z**(-4)\/z)**(-1\/54) assuming z is positive.\nAnswer: z**(9197\/6804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/104*-18)\/((-31)\/((-434)\/(-21))).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**5\/20 - c**4\/3 + c**3\/6 + c**2 + 36*c. Give r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 182*v. Let f(z) = -25*z**2. Determine q(f(b)).\nAnswer: -4550*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**2 + u + 1. Let c = 76 - 71. Determine v(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 26*p - 10. Suppose 5*i = -5*s - 50, 2*s + 6 = 3*i + 31. Is a(i) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**2 + 3*u. Determine l(3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 1985 in descending order.\nAnswer: 1985, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6. Let b = z - 0.000006. What is b rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -27. Suppose s = 6 + q. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 9:35 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -36109c (base 15) in base 10?\nAnswer: -2585397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 9 (b) 0.15 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1046*u - 4843. Calculate the remainder when i(-9) is divided by 760.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 2*c**5 + c**4)*(3 - 2 + 1) - 2*c**5 + c**5 + 11*c**5.\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49884.18 grams in micrograms?\nAnswer: 49884180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -22*y. Let r be s(-2). Let z = 134\/3 - r. Let g = 239\/24 - 85\/8. Put z, g, 1\/2 in increasing order.\nAnswer: g, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -6.2468.\nAnswer: 6.5468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5355 - 5268) + (10 - 1) + -3 + 2?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a - a + a**5)*(86 + 41 + 55 + 36).\nAnswer: 218*a**5 - 436*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, f: 3}. Give prob of sequence hhhf.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2 = 10 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6 = -0. Suppose 0 = 3*w + 9, -2*y + 5 = -w - t. Suppose -a - y = -2*a. Solve 2*o - 16 = -a*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 103448*j + 1758613. Calculate t(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 7:29 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*4\/8*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*3 + -3.\nAnswer: -3 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 102*b**2 + 2*b + 10559. What is x(-101)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.48 - 4.28. Let i = u + -0.2. Let z = 0 - 0.1. What is the nearest to z in i, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 43. Find the second derivative of w - 44 - 18*q**3 - 30*q wrt q.\nAnswer: -108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*k - k + 2*i, 85 = 3*k + i. Let z = k - 29. Solve 4*m + 4*n - 3 = -11, z = -4*m - 2*n - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1\/23435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2609, 5265, 7961, 10691, 13449, 16229?\nAnswer: 19025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134 - 130. Solve 2*r = -4*b - 8, -r + 3*b = -k*r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 13 + (4167 - -8)?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50681.7 take away 3?\nAnswer: -50684.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -335, -414, -525, -668, -843?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 2, i: 1, k: 5}. What is prob of sequence ip?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.5 (b) 5 (c) -2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1522 + 1524. Suppose 4*h + 4*o - 24 = 0, 2*h + 3*h + 6 = 4*o. Let m be (3\/14)\/((-1)\/h). Put m, d, 4 in increasing order.\nAnswer: m, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmrr when four letters picked without replacement from rmrmmmmmmmmm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.065 (c) -27\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*m**3 + (-m + 3*m + 6*m)*(2*m**2 + 2*m - 2*m).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + -204. Let y = u - -266.845. Round y to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10797*l - 10851*l + 162. Solve -2\/3 - 4\/3*v**2 - 5\/3*v - 1\/3*v**l = 0 for v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26494*k**3 + 106081*k**3 + 74735*k**3.\nAnswer: 207310*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - ((-1644)\/(6 - 2) - 0). Find the second derivative of -q*f**2 - 3 + 311*f**2 + 164*f + 0 + 3 wrt f.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/8 + (2 - 75) + 76.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide (6\/12*14\/(-21))\/(1\/(-24366))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 4 - 2)*(12 - 12 - 9*v)*((-2*v + v + 2*v)*(0 + 6 - 3) + 1 - 1 - v) to i*v + c + o*v**2 and give o.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29700 is divided by 14590.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 1377?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707468485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p = 10. Let n = p - -2. Suppose 4 = -n*a - 4*b, -5*a + b + 15 + 10 = 0. Calculate the highest common factor of a and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -26. Let q(x) = -x**3 + 4*x**2 - 4*x + 3. Let z be q(4). Let g = v - z. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 58 + -38 + (-9 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 8. Let a = 10 - 4. Let n be w(a). Suppose n*m + 1 = 21. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8 and 31\/259223526?\nAnswer: 1036894104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -258*x**3 - 2*x + 3*x - 3*x + 2*x**2 - 130*x**3. Let d be a(7). What is d rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*o - 66*o + 246*o.\nAnswer: 409*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/66867 and 73\/7190?\nAnswer: 668670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 586.0157 - 0.0157. Let w = 586 - z. Let m = -0.65 + 1.31. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 278 = -282*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a + 42. What is k(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-15)*13\/((-260)\/(-2))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10448786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + n + 5. Let p(x) = -3*x. Let s(z) be the second derivative of -z**3\/6 + z. Let m(i) = n*p(i) - 3*s(i). Give m(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - 1) - (-47 + 51)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w + 9. Let g(p) = -5*p - 5. Give 3*c(q) + 5*g(q).\nAnswer: 5*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(102)*-2 + sqrt(102)))\/(-5*sqrt(96)) + -3.\nAnswer: -3 - sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + m - 37 = 8*b - 18*b - 6*m, -23*b + 2*m = 232 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 271061\/1048 or 258?\nAnswer: 271061\/1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**3 - 3*v**2 + 2. Let b be h(-1). Let u(o) = -3*o - 9. Let j be u(b). Let d(x) = x**3 + 23*x**2 - 31*x + 17. What is the hundreds digit of d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 26. What is p(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -33*r**3 + 252*r**2 + 4*r - 12. Let y(f) = -58*f**3 + 502*f**2 + 7*f - 24. Give 4*y(l) - 7*z(l).\nAnswer: -l**3 + 244*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023539039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/5 - 532*w**2\/5 - 35378*w\/5 = 0. What is w?\nAnswer: -133, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31581 (base 10) in base 9?\nAnswer: -47280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 3, q: 2, t: 1}. Give prob of sequence to.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -31, -49, -2923 in ascending order.\nAnswer: -2923, -49, -31, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 4. Let p be r(-8). Suppose 5 = -5*g - p*h - 5, -g = -4*h - 22. Let x(f) = f + 9. Let m be x(-7). Solve -16 = g*a + m*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -8) + 14 + -13 - -10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 180*d - 4400.\nAnswer: 2*(d - 110)*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2837866698?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 1, -3.\nAnswer: -65, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 3*c**2 + 2*c - 6. Let b be a(-5). Let y be 3\/5 - (-1024)\/(-40). Let i = 34 + y. Solve i = 5*m + b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9897 times 3?\nAnswer: 29691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 105, 146, 171, 174?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 19, 21, 35, 67, 123, 209?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 + (-2 - 5) + (6 - (-11 - -13))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*h - 44 = 0, -5*d - 2*h + 4*h - 34 = 0. Let q = d + 9. Suppose -49 + 45 = -4*p. Calculate the remainder when q is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a year in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2898 + -2951.96. Let v = 0.04 - t. Let b = v + -54.000366. What is b rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose 2*u - 10 = -g*u. Suppose 34 = -j + u*j - 5*b, -b - 3 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463*z = -470*z - 14. What is the closest to -3 in -5\/4, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/126 and -13\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 515594 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 22301355 to the nearest one hundred thousand.\nAnswer: 22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14165910?\nAnswer: 2, 3, 5, 11, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 46. Let q be p\/(-8)*118\/(-5). Let b = q - -155. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 1. Let o be v(-7). Let a = -5 - o. Let h(j) = -5*j**2 + 2*j - 1. Give h(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -549, -822, -1093, -1362, -1629?\nAnswer: -1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. Let h be (-156)\/(-117)*(1 + (-7)\/10). What is the closest to -0.1 in 1\/7, w, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -39*u - 2 - 6 - u + 20. What are the prime factors of k(-10)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.9859 to 1 dp.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-21)\/(504\/80)*(306\/8)\/3 and -2 - (-406)\/148 - 0.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 - (-153 - -271) - (-2 + -66)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {y: 1, a: 1, g: 1, c: 7, e: 5, t: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78.79 - 1.79. Let s = q + -78. Let y = 0.2 + -0.4. Which is the second smallest value? (a) s (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2) - -3*(sqrt(2) + -1) - (sqrt(162) + sqrt(162)*2)**2).\nAnswer: -4*sqrt(2) + 1461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/45 and 3\/940.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**2. Let h(g) = -4*g**2 - 25*g**2 + 59*g**2 - 11*g**2. Give h(z(x)).\nAnswer: 1539*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 9:24 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293399?\nAnswer: 293399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 460 - 271. What is the highest common divisor of b and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 100*r + 182*r - 85*r.\nAnswer: -3*r + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2818, 2\/5, 585?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-130))\/(1 + 258\/(-330))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/4))**45*q**(-1\/16)*q**(-2\/5) assuming q is positive.\nAnswer: q**(863\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -33730833 (b) -4 (c) 1 (d) 4 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 2*v - 2*v)*(13*v - 696487 + 696532 + 10*v) - v**2 + 1 - 1.\nAnswer: -93*v**2 - 180*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-35))\/((-4)\/10). Let f = -12 - -17. Which is greater: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5455013891 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*((-3 + -1*sqrt(684) + 4)**2 + 1).\nAnswer: -60*sqrt(19) + 3430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d5388 + -b?\nAnswer: -d5395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.6472 * 14.\nAnswer: -373.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(2\/59)\/((h*h\/(h**(-1)*h*h))\/h)**(8\/7) assuming h is positive.\nAnswer: h**(2\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -11*t**6\/60 - t**4\/6 - 114*t**3 - 171. Let m(l) be the third derivative of n(l). Let a(h) = -2*h**2. What is m(a(x))?\nAnswer: -264*x**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, e: 1, i: 4, j: 5}. Give prob of sequence iir.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 11*p - 36. Suppose p*v - 29*v = -22. Solve 0 = -5*f - c - 17, -9 = -v*c - c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -570955\/134 - -4261. Find the common denominator of (-265)\/53 - (-2975)\/300 and s.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15012 + 482044 = 2*m + 5*q, q = -5*m + 1167603. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) 0.04 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1070 + 146 = -4*t. Let w = -131 - t. Let r = w + -60. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18771931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -17098 + 17098.1597. Round k to three decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 = 0, -2*h - 41 + 454 = -5*c. Let q be 238\/63 + (-4)\/(-18) + c. Let s = q + 108. What is the remainder when s is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b42 + -3?\nAnswer: -b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2\/7 - 79871*c\/7 + 159746\/7 = 0.\nAnswer: -79873, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:42 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11960 + 59609\/5. Which is smaller: -37 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r. Let k(i) = 83145*i - 1. Calculate a(k(t)).\nAnswer: -166290*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 213 * -0.02.\nAnswer: -4.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2299 + 22871\/10. Let c = -2530\/651 - -16\/93. Find the common denominator of n and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2. Let v(x) = x - 1. Suppose 3*t - 31 = 4*a, 4*a - 3 = t - 24. Calculate a*z(c) + 8*v(c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -4*y - 4, 0 = 4*u - 121*y + 123*y + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1492*l - 764*l - 1160*l)*(-2*l + 2*l + 2*l**3).\nAnswer: -864*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-28)\/(-70))\/((-3)\/(-30)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75127\/9 + -8356. Let f = w + 388\/99. What is the common denominator of f and 8\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-3.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13963621, 27927053, 41890483, 55853911, 69817337?\n\"Answer: -b**2 + 13963435*b + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*o - 1. Let w(g) = -53*g**3 - g - 1. Is w(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52504 + -5?\nAnswer: 52455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 474624920 a multiple of 3388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-172)\/(-688))\/((-1)\/44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046968 - -1.24.\nAnswer: 1.286968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let u be (-1642)\/(-42) - 10\/15. Let h = u + -39. Sort h, m, 3\/5 in decreasing order.\nAnswer: m, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292 divided by -146\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3567997\/289 - -12346. Do -1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 12:57 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 w, and 1 q when four letters picked without replacement from {w: 8, q: 5, m: 1, n: 2, k: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 100 = 1475. Let v = -26 - 134. Let n = v - x. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 5*x - 5. Let l = -192 + 185. Calculate u(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 2*m**2 + 0*m**2 + 3*m**2. Let y(j) be the second derivative of -j**3\/3 - j. Give h(y(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -763*q + 2*q**2 - 18*q**3 + 2 + 763*q in the form s + a*q**3 + x*q**2 + u*q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. Calculate the remainder when 22 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -1784 (c) 4 (d) 3\/8 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 3072.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsww when four letters picked without replacement from cwcaaahhaaqsw.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:22 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 383 and 2260849.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10274226 is divided by 1712370.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2260126 (base 7) to base 16.\nAnswer: 452fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + ((sqrt(2736) + 1 + -3)*-3*2)**2 + -3 + -5).\nAnswer: -10368*sqrt(19) + 591810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 6*n**2 + 6*n + 7. Let w(k) = k**2 + 8*k + 3. What is the smallest common multiple of q(-5) and w(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1677, -3353, -5029, -6705, -8381?\nAnswer: -10057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.97 - 13. Let t = d - 4.97. Which is the closest to -0.3? (a) t (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*w - 2, -2*o = 3*w - 3. Suppose 544 = x + 3*x. Suppose -7*z + 3*z + x = o. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 2*w**2 - 22*w - 8. Give l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706774438 to the power of 1\/2, to the nearest integer?\nAnswer: 26585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1443 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4491414.00086 + -4491344. Let n = u + -70. What is n rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3367 - 36263 = -1321*r for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n - 21*n + 378. Let k be n\/6 + 15*(-7)\/(-63). Suppose 3*p = 5*y - 5, -p = -6*p - 3*y + 37. Solve 0*a - 4*i = -k*a - 4, -2*a + i - p = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 23, -13, 3 in ascending order.\nAnswer: -13, 1, 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -18*q**2. Let d(y) = 28*y - 69*y - 5*y**2 + 37*y + y**3 - 8. Let a be d(6). Let c(m) = -m**2 - a*m + m + 3*m. Calculate z(c(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 11:29 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1040)\/(-13000))\/(1337\/(-175))?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.3 + 120.7. Let n = 146.6 - a. Let t = 12.1 - n. Sort 0.2, t, 1\/6, -0.1 in decreasing order.\nAnswer: 0.2, 1\/6, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k**2 + 24837*k - 173261. Give p(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321406.\nAnswer: 2, 271, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 855626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42667 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/3 - (-46)\/6 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 108. Suppose -f*o - 5*u = -20, 8*o - 4*u - 25 = 3*o. Suppose o*g + n = 3*n + 37, 16 = 3*g + 5*n. Solve -4*w + 9 = -g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {g: 7, m: 4, h: 6, s: 1}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, h: 1, f: 1, g: 2}. Give prob of picking 2 g and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*m - 19, s - 17 = 3*m + m. Let o(x) = -x - 5. Let t(i) = -i - 2. Determine s*t(u) - 2*o(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1 (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27524 and 14.\nAnswer: 27524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4321 is divided by 2074?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179 and 4117?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-516)\/18 + 4\/6. Let t be (j\/3)\/((-12)\/18). Suppose t*b = 9*b + 135. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63) + sqrt(1008))*1)\/sqrt(9) + 1 + sqrt(700) + -3)**2.\nAnswer: -60*sqrt(7) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) 1\/4 (c) 451\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.007291 rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7296428 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 885 = 3*x - 8*x, 4*x + 3*o = 708. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-1 + (0 - 0)). Let y = -3 - 1. Calculate the remainder when 18 is divided by (-2 - l\/(-4))*y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-600)*-10*10\/(-32)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1805073, 3610107, 5415141, 7220175, 9025209?\nAnswer: 10830243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 1 - 17. Suppose 410 = -a + 6*a. Let d(g) = 4*g + a*g**2 + 6*g**3 - 4 - 78*g**2 + 0*g. Let s(m) = m**3 + m**2 + m - 1. What is v*s(p) - d(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 28125 = 15*x - 9*x. What is the highest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01385674352 rounded to 4 dps?\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3075*g**4 + 2*g**3 + 74*g - 76*g + 3071*g**4 + 43*g**2 to j*g**4 + r*g + p*g**3 + m*g**2 + o and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.227 to 1 decimal place.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7717*h**3 - 211*h**2 - 57*h.\nAnswer: 46302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4447*o**3 - 7992*o**2?\nAnswer: -26682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3, x: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63532381?\nAnswer: 11, 97, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76860, -307436, -691728, -1229736, -1921460?\nAnswer: -2766900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 450787153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1785.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*8\/(-12)*-3. Let v = z - 6. Let u be v\/10 - 2\/(-5). Solve 5*r + 0*o + 3*o = 9, -3*r + 5*o + 19 = u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*y - 3 = -15, -y + 13 = 4*o. Solve -o*w + 2 + 3 = v, w - 1 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 2*g. Let v(i) = -83*i**3 + 20*i + 1. Let m(a) = -v(a) - 3*w(a). What is the second derivative of m(d) wrt d?\nAnswer: 516*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2221202 - -2101?\nAnswer: -2212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide (-11)\/(-22) - (-34085)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 11*a = 20. Let n be 4\/(10\/a) + -2. Put -4\/3, -2\/19, n in ascending order.\nAnswer: n, -4\/3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1971428*j**2*p - 814*j**2 - 3*j + 35 wrt p.\nAnswer: -1971428*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151497.\nAnswer: 3, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + -2.5. Let u = 12 + d. Which is the nearest to -2\/13? (a) 2\/5 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114532645 + 1?\nAnswer: 114532646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 6*i - 3. Let u be g(4). Let j(m) = -m**3 + 6*m**2 - 4*m - 3. Let r be j(u). Let q = 2.2 - 2. Sort r, 3\/8, q.\nAnswer: q, 3\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/71 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15068172 and 16.\nAnswer: 60272688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1605289 is divided by 131.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4682, -8398, -11174, -13016, -13930, -13922, -12998?\nAnswer: -11164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*(q**(3\/4)*q*q)\/q)\/q*q*q)\/(q\/(q\/(q**(-2\/5)\/q*q))))\/(q**(-1))**(-17\/3))\/(((q**1*q)\/q)**(-36)\/(q**(-1)*q**(3\/2))) assuming q is positive.\nAnswer: q**(2099\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krkqqrqqrqqrq. What is prob of picking 3 r?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 + -128. Let y be ((-65)\/j)\/(1\/36). Let m = y + 65. Calculate the highest common factor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11764*n**4 + n**3 + 18*n - 8959548?\nAnswer: 47056*n**3 + 3*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**5\/20 + y**4\/3 - y**2 - 3*y. What are the prime factors of z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843473 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 2*z - 2, -3*k + 3*z - 7 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13*l**3 + 4*l - 1. Let d(a) = -6*a**3 + 4*a + 9. Let o(k) = -k**3 + k + 3. Let v(b) = -d(b) + 3*o(b). Determine -2*c(h) - 9*v(h).\nAnswer: -h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - 14*u - 346 + 4 = 0. Let d(f) = f**3 - f**2 + f + 19. Let k be d(0). Is k <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 101443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17152.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1152.598011804 + 173.\nAnswer: -979.598011804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3034 - -141420?\nAnswer: 134342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 2. Let z be w(12). Let k be z*8 - (-14)\/7. Is (-4)\/6 + k\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*j + 3*j - 24*j as a*j + b and give a.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 15 = u + 1, -4*z = 5*u - 19*u - 132 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 8. Let m be t(3). Suppose -12 = f - m. Solve 0*l = l + f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:07 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11.76 times -0.012\nAnswer: -0.14112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/40 + (-4347)\/(-1288)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 1955 + -1927?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3590 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, r: 8}. Give prob of sequence rkkk.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2 - 2)*(5*s - 8*s + 0*s) + (0*s**2 - 3*s**2 + 4*s**2)*(-12 + 8 + 8).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23490772.\nAnswer: 2, 5872693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 - 79 = 3*m. What is the remainder when m is divided by (276\/230)\/((-4)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k + 35 = 5*v + 61*k, -5*k = -13*v + 16*v - 27 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -8 - -18) + -8 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1713, 4, -0.04, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*w + 483, 0*w = 2*o + w - 231. What is the remainder when o is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1034 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:08 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + 0*u + 0*u + (2*u + 2*u + 10*u)*(3*u**2 - 4*u**2 + 3*u**2) in the form z*u**3 + g + n*u**2 + v*u and give z.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22987 - 22860. What is the remainder when 406 is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1046.3?\nAnswer: -2092.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 45 = t. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 13*k**3 - 432*k**2 + 106*k - 185. Determine u(33).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 13*k + 187. Let t(b) = 10*b + 185. Calculate -3*m(u) + 4*t(u).\nAnswer: u + 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-9))\/((-10)\/45). Suppose 5*p - 15 = -k, 0 = 2*k + v*p + 2*p - 20. Solve 0 = -3*u - k*o, -u = -2*u + 2*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 13. Suppose 0 = 3*a - a - 174. Suppose 5*f - a = 3*y, 2*f - 4 = -y + o. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103112112 (base 4) to base 13\nAnswer: -2a0c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p\/p**(-5)*p)\/p)*p*p)*p**(-2\/19))**(23\/4))**(4\/9) assuming p is positive.\nAnswer: p**(1702\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -772?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3984987633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 11:11 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 10976.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11018, -19195, -27366, -35537, -43714, -51903, -60110, -68341?\nAnswer: -76602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(75) - (sqrt(75) - sqrt(75)*2))*-6 - (sqrt(75) + 0 + 5)))**2*4 + 5.\nAnswer: 65000*sqrt(3) + 1270005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 658?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(6\/11))**(1\/11)\/(r*r*r**(1\/3))**(2\/53))**(-5\/13) assuming r is positive.\nAnswer: r**(-5045\/250107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -747.33268 and -141080.2.\nAnswer: -141827.53268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15198254 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:50 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 2*n + 2 = 2*v, 2*n = -10. Let c be (64\/10 - 6) + v\/(-5). Which is smaller: c or -7\/17?\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/2 and (-140)\/6 + 1\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*8\/4. Suppose -4*k + a = -11, v*a - 9 = -4*k + 6. Suppose r - d - k = -0*d, -5*d - 5 = 0. Solve 4*u = -4, -r = 2*h - 3*u + u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 14. Suppose 0 = x + 2 + 19. Let f be w(x). Let l(q) = -q**2 + 5*q + 10. Give l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11) + 3)**2 + -2 + sqrt(539) + sqrt(539) + 3 + ((sqrt(99) + (sqrt(99) - (sqrt(99) + -2)))**2 - (sqrt(11) + (sqrt(1331))**2*-5)).\nAnswer: 27*sqrt(11) + 6771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0 + 5\/6*v**3 - 1\/6*v**4 - 131\/40*v**6 + v**2 - 1\/10*v**5 + 0*v. Let x be o(-5). Round x to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*h*p**3 + 2*h*p**2 - 97*p**3 + 6*p with respect to h.\nAnswer: -63*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/24)\/(3 - 24\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-14) - (-3 - 27\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138821\/600 + 1851\/8. Let v(x) be the second derivative of 1\/10*x**3 - 3\/100*x**5 - 13*x + 0 - 1\/5*x**2 + 1\/60*x**4 + l*x**6. Let v(h) = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27180 - 1?\nAnswer: 2717a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 949000 rounded to the nearest ten thousand?\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9627*r + 6411575. Give j(-666).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*g = -8*g, i + 66 - 106 = 5*g for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let p(x) = 3*x**2 + x - 2. Let h be p(-2). Let b(s) = 20*s - h*s + s**2 - 12*s. What is k(b(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-18 - 0 - -9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3432234001 (base 5) to base 2.\nAnswer: -11101010110111011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 2704?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 51 + 13. Suppose -q - 33 = -g. Solve -p = q*z - 19, -11 - 6 = 5*p - 3*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18340*i**2 - 36686*i**2 + 18339*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdweeewnendewweewdlw. Give prob of picking 1 l and 2 d.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**2 + 8*s - 321. Let p = -21 + 30. Determine a(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45449606581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001327 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -8)*5\/(-15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzwvwd. What is prob of sequence vzwv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 times -0.11?\nAnswer: 6.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 17. Let c be (-4)\/16 - (-2)\/8. Sort 4, c, u.\nAnswer: u, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5274?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2132 + 8*k - 2132. Let w(t) = t**2. Determine h(w(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -38. Let z = q + 20. Suppose -z + 37 = 2*s. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*u + 3 = 0, 6 = -4*b + 6*b - 4*u. Let q be (3 - b) + (-2 - 2). Let s = q + 58\/15. Is 1 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 11. Let t(f) = -f**2 + 1. Let l(s) = -2*m(s) - 22*t(s). Let n(a) = a**2. Determine n(l(u)).\nAnswer: 324*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 179860 (b) -0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:36 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.036217 and -16.\nAnswer: -16.036217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71534, 143213, 214892, 286571, 358250?\n\"Answer: 71679*u - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 7. Let c(f) = f**3 + 16*f**2 + 15*f - 4. Let l be c(-15). Give r(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 d, and 1 t when four letters picked without replacement from {d: 4, z: 1, t: 3, b: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 * 525\nAnswer: 162.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Suppose -72 = -f*r - 0*j + 4*j, j = -2. Let z = 2184 - 2181. Solve 7*p = z*p + r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*m + 17 = -2, 0 = 3*f + 3*m + 15. Let k = f + 4. Suppose -v = -w - 1, -13 = -k*w - 2*v - v. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 121*f + 2146. Let w(x) = 48*x + 1073. What is -2*i(n) + 5*w(n)?\nAnswer: -2*n + 1073","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from {e: 1, j: 4, d: 4, f: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + (-1 + sqrt(891))*-2 + sqrt(891) + sqrt(891) + sqrt(891) + (sqrt(891) - (1 + sqrt(891))) + -5)*-3.\nAnswer: -27*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 505*k**4 + 2*k**3 - 507*k**4 - 6*k**3.\nAnswer: -2*k**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10 = -3*g + 26, -6 = 2*h. Suppose -15*m - 28 = 62. Let r be m\/8 - 110\/(-40). Solve -4*p = -0*p + r*b + g, -p + b = 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b4 - 5?\nAnswer: 1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.46 - 0.36. Let f = o + -0.1. Which is the closest to 0.2? (a) f (b) -0.1 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 19. Let g = q + -15. Which is the second biggest value? (a) -3\/5 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 319 - 1597\/5. Let h = -102\/5 - -21. What is the nearest to p in h, -2\/13, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 543?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 1:20 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dadhdaffhfaaadaaafa. What is prob of picking 3 f?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/9)\/((-2)\/3). Let b(f) = -22*f - 2. Let w be b(o). Calculate the greatest common divisor of w and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 11) in base 3?\nAnswer: 111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*s - 0*s, -4*k = 5*s - 15. Suppose k = 3*l - 17 - 1. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-755)\/30 + 2\/12. Is (-291034)\/o + (-3)\/99*-6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12016?\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7365, 13130, 18895?\nAnswer: 24660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*p - 0*p + 7, 3*j = -3*p + 33. What is the remainder when 15 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1. Let r(z) = z**3 - 5*z**2 - 6*z + 2. Let x be (-16)\/20 - 2\/10. Let h(i) = x*n(i) + r(i). Give h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*-1 - ((sqrt(19) + sqrt(19) + -1*sqrt(19))*4 - sqrt(19)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52616 - -3?\nAnswer: 52619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -1\/3 (b) -17 (c) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 9. Let k be d(-9). Suppose 5 = -k*h + h. Suppose 3 + h = 2*m, -76 = -2*x - m. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 2. Let c be q(5). Let d = 12 - c. Suppose 5*v = 2*m + 13, 0 = 5*m - d*v + 5*v - 8. Calculate the greatest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25\/3 + (-1)\/3. Suppose -5 = -9*r + b*r. Suppose 0 = r*d + 29 - 149. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 7:54 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/17983 and 13\/2569.\nAnswer: 17983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*d - 652, 0 = -4*i - 6*d + 11*d + 655. Which is bigger: 173 or i?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3598, -14318, -32186, -57202, -89366?\n\"Answer: -3574*t**2 + 2*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.4 + -4. Let x = s - -1.6. Let t = 2.3 - x. Which is the closest to -1\/3? (a) t (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 2. Let h(t) = 716. What is 358*d(j) + h(j)?\nAnswer: -358*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 + 71*m**2 - 42*m**2 - 29*m**2.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -400075, -400056, -400029, -399994, -399951, -399900?\n\"Answer: 4*g**2 + 7*g - 400086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*g)*(-6*g - 6 + 6) + (5*g + 5*g - 6*g)*(-1 + 1 - g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.7 + 6. Let l = 2.8 + y. Let m be 3*((-19)\/5 - -4). What is the third smallest value in l, -4\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b + 2. Let y be c(0). Let i = 2 + y. Factor -24*p - 3*p**2 - 3*p**3 + 15*p + 0*p**3 + 12*p + 3*p**i.\nAnswer: 3*p*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 3527514?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -20. Suppose -4*j = y - 250, -6*j - 4*y = -3*j - 194. Let g = j - l. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 18*f = -30*f - 62 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**1)**(1\/12))**(1\/14))**(-28\/9) assuming c is positive.\nAnswer: c**(-1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from qqrqrxnxxxxqxrqnxrx?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2. Let l(n) be the first derivative of 0*n + 5 + 1\/3*n**3 + 0*n**2. Calculate l(d(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7514 and 0.7.\nAnswer: -0.52598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 6. Let x = -27 - -43. Suppose -3*q + 2 = -x. Let a(b) = -b**2 - 5. Let l(f) = q*a(f) + 5*r(f). Let t(p) = -2*p**2. Determine t(l(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, y: 1, u: 1, o: 1, s: 2}. What is prob of sequence ts?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 + 309. What are the prime factors of 4\/48 + 16792\/q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 117\/154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -26*s**3 - 37*s. Let w(n) = -6*n + 25*n - 6*n**3 + 12*n**3 + 7*n**3. Let a(f) = -7*w(f) - 3*z(f). What is the second derivative of a(k) wrt k?\nAnswer: -78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**3 + 19*i**2 + 24*i - 32. Let q be v(-17). Suppose 13*g - q = 4537. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10527683\/30 + -350924. Find the common denominator of v and (-33 + -2)\/((-12)\/(-1)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*s + 12 = -226*s. What is the highest common factor of 54 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -44*k**2 - 6*k + 4. Let d be a(4). Let i = d - -1340. Suppose -4*c - 4*m + i = 0, -3 + 1 = 2*m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/10043 + -1174951\/200860. Suppose 30 - 362 = -4*v. Calculate the common denominator of (v\/9)\/((-4)\/3) and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 2*q - q)*(215*q + 13*q + 337*q)*(4*q - 3*q - 2*q) as b*q + w*q**3 + i + a*q**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f*l**4 - 91*f*l + 71138*f + 131248*l**5 - l wrt l.\nAnswer: -72*f*l**2 + 2624960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*b + 784, 75 = 3*b + k - 387. Let f = -66 + b. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.24789 milligrams to kilograms.\nAnswer: 0.00008724789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 213*c**3 - 219*c**2 + 213*c + 216.\nAnswer: 3*(c - 72)*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*1)**2 - (sqrt(3) - (sqrt(45)\/sqrt(3))\/sqrt(5)))*2.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from jbmomoomobjqbmofoj.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m**2 - 4*m + 1. Let k be n(1). Suppose -k*i = -550 - 2624. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**3 + 4*r**2 + r + 8. Let l(v) = 2*v**3 - v**2 - 3. Let q(j) = -3*g(j) - 8*l(j). Suppose -5*s + 9*s = 21*s + 34. Give q(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 5*y + 5. Let v be c(-5). Suppose 2*w = 5*j - v, -w + 0*w = 2*j - 11. Suppose 0 = 4*r + i - 109, w*i - 1 + 28 = 2*r. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**8\/560 + k**6\/360 - k**3\/3 - k. Let c(i) be the second derivative of r(i). What is the third derivative of c(o) wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3*-1*3\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842233512.\nAnswer: 2, 3, 251, 139813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 + 19*s - 26. Let t be n(6). Suppose 0 = -3*u + 14 + t. Solve -6*h + 4 = -u*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1159, -26 in ascending order.\nAnswer: -26, -23, 1159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 36 = 0, 2*c - 6*t - 16 - 5 = -3*t + 11 + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 346504.\nAnswer: 1732520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 2) + 1 - -19. Suppose o - 2 = v. Calculate the greatest common factor of 136 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -10*z. What is the second derivative of -5*n**3 + 0*n**2 + 46*n + z*n**2 - 9055*n**5 + 9054*n**5 wrt n?\nAnswer: -20*n**3 - 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 98585818*a - 98585818*a + 1874 + (2*a + 2 - 2)*(-4*a + 4*a + a) + 4*a**2 - 5*a**2 - a**2.\nAnswer: 2*a**2 + 1874","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*97 + (-2 - 4 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**2*g*g)\/((g*g**(-3)*g)\/g))\/(g**(-5\/6))**(-17))**(-9\/5) assuming g is positive.\nAnswer: g**(201\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 - -110. Let h(i) = 3*i + 3. Calculate h(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i**4 + 3*i**2 + 1 + 4*i**2 - 3*i**2 + 9*i**4 in the form n*i**2 + p*i + z + b*i**4 + x*i**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-3) + (-1)\/(-1). Suppose q = -0*t + t - 7. Let i(x) = -x**2 + 9*x - 6. Let h be i(t). Solve -4*r = -0*r + h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -583 (b) -0.1 (c) 0.2 (d) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31022345 to the power of 1\/2, to the nearest integer?\nAnswer: 5570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 4*j - 2. Suppose h = 27 - 23. Let n(a) = 5*a**2 + 7*a - 3. Determine h*n(w) - 7*t(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1757 divide 758196453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 113*z**3 + 1 - 120*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g**3 - 54*g + 30 - 3\/2*g**4 + 51\/2*g**2 = 0 for g.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - i = 2276, -3*i - 1032 - 2001 = -4*v. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -57.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/(6\/45). Let t(k) = 2*k + 2 + 3*k - n. Let i(b) = b - 1. Suppose -24 = -11*r + 17*r. Give r*i(z) + t(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.06 - -8.1. Let x = w + -0.04. Which is the second biggest value? (a) -0.2 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1016.37 * -138.3\nAnswer: 140563.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/221 or 0?\nAnswer: -6\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8689 (base 13) to base 16.\nAnswer: -490f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**3\/3 + 15*g. Let h(f) = 4*f**2. Determine p(h(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q - 6. Let g(j) = -2186 - 229 + 762*j + 4082*j. Let k(o) = -255*o + 127. Let l(m) = 4*g(m) + 77*k(m). What is 119*d(x) + 6*l(x)?\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1418929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/77 and -71\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 9*d - 2*c + 4, 4*d - 5*c = -10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 257160 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 16, 45, 98, 181, 300, 461?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75061.91ug in grams?\nAnswer: 0.07506191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 0) + 134\/(-2). Let m = -37 - u. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 40*z**2 + 228*z + 32. Calculate h(33).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5356, 1, -0.2, 0, -4\/311, -0.8?\nAnswer: -4\/311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4266 and 54?\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*k - 13, -4 = 4*n - 2*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 20 = 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 25*h**2 + 54*h + 35. What is z(27)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n + 4*t - t, 5*n - 4*t = 6. Let o be (3\/n)\/((-8)\/(-16)). Suppose -5*j + 22 = -o. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409232 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 246*w - 304*w - 154 - 50, 2*q + w - 17 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27104\/40)\/(-11) + 4\/(-10). Let w = -54 - p. Solve 0*i + 5*i - 2*y + 8 = 0, 2*y = 4*i + w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13938504?\nAnswer: 2, 3, 17, 127, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y - 1. Let u(r) = -1. Let c be (-3 - -5)*(-2)\/4. What is c*u(a) + k(a)?\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129282054 by 6.\nAnswer: 21547009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = w + 12. Let g = w - -38. Suppose -g*q + 14*q = 0. Solve 0 = -q*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emeemmmemeeeee. Give prob of picking 3 m.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (4 + -1 + (67 - 75) - 4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 661702421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-3\/25)\/(o**(-1\/2))**(1\/71) assuming o is positive.\nAnswer: o**(-401\/3550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 - 1 = 0. Suppose 0 = 3*c + 4 - 1. Let x = i + c. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/8624736 and -113\/15812016.\nAnswer: 94872096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.1 - 108.1. Let w = y - -90.9999947. What is w rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 1 h when three letters picked without replacement from {h: 2, i: 1, u: 1, a: 1, f: 1, w: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**2 - 4*v - 5. Let b(s) = 8*s**2 - 5*s - 6. Suppose 0*c + 3*c = -21. Determine c*y(x) + 6*b(x).\nAnswer: -x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3123 + -3121. Let f(i) be the third derivative of i**5\/60 + i**4\/24 - i**3\/3 + i**2. Give f(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 12, 1, -24, -69?\n\"Answer: -s**3 + 2*s**2 - 2*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192868 is divided by 79.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -54\/7 (b) 28\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k - 158. Let h be i(14). What is the remainder when (32\/5)\/((h\/(-250))\/6) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5 - 0. Let r(b) = -b. Let i(z) = -z**3 + 9*z**2 + 5*z - 5. Let n(u) = x*r(u) + i(u). What is the units digit of n(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389900 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47578921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j - 7. Let s(a) = 3*a + 5. Suppose -5*v = g + 17, -2*v = g + 16 - 5. Suppose -2*r - 15 + 5 = 0. Determine g*s(f) + r*y(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*y - 146 + 131, 27 = 5*y - 2*x. Solve -4*l + 10 = -y*l - 5*u, -2*u = 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -11, 856, -14, -4, -5 in increasing order.\nAnswer: -14, -12, -11, -5, -4, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13\/4378?\nAnswer: -13\/4378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -21 (c) 3 (d) 8 (e) -0.5 (f) 82\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 9\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)\/l)\/((l**(2\/9)\/l)\/l)*(l**0)**19 assuming l is positive.\nAnswer: l**(59\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 8*g - 15. What is c(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-150))\/((-31)\/5 + 4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42081 = -5*b - 4*c, -18*b + 19*b + 5*c - 8391 = 0. Calculate the remainder when b is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 11:33 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 490353 and 236.\nAnswer: 490589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 2*t**4 + 2*t**5 - t**5 - 4*t**5 + 4*t**5 + (t**2 + 2*t**2 - t**2)*(3*t**3 - 2*t**3 - 3*t**3) - 6*t - 2*t - 3*t**5 + 2*t**5.\nAnswer: -4*t**5 - 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l - 3. Let d be s(6). Let f = 71 + d. Solve -q - 3 = -f*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/(144\/180)*22\/2431*26?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11617 (base 14) to base 4\nAnswer: 22111311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346600 is divided by 469.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/1290 - (162\/(-2835))\/(2\/14)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 32266024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 239 = -2*h - 4*r + 150, h - 5*r = 35 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9155 and 27465?\nAnswer: 27465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + ((-5)\/10)\/((-12)\/168). Let m(f) = 160*f - 65. Let l(y) = -5*y + 2. Give h*m(r) + 195*l(r).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let w be (-1)\/2*(2 + u). Let t = w + 10. What is the remainder when 25 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:51 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1458*g + 728*g + 719*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 104?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 25212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 43 in increasing order.\nAnswer: -4, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -502030 rounded to the nearest ten thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwbwwwwwwidwb. What is prob of sequence wi?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -80489225640\nAnswer: -80489225638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 33\/6)*-2. Suppose -x + 432 = h*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 546, 613, 682, 753?\n\"Answer: q**2 + 64*q + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -3*v**4\/4 - 4*v**3 - 6*v**2 - 3. Let p(y) = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -2 + -10 + 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5 - 5. Suppose l*x + 0 = 4. Suppose x*i - 6 = -2. Solve 8 - i = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38679943\/59706 - 20081\/31. What is the common denominator of -125\/54 and a?\nAnswer: 5778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(5\/3)*a)\/(a\/a**(-1\/22))*a**(-15)*a**(-1\/18) assuming a is positive.\nAnswer: a**(-1132\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1002, 7389, 24670, 58293, 113706, 196357?\nAnswer: 311694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Suppose 20 = 3*y + 5*j - 0*j, -2*j + b = 0. Suppose -y = -2*g + 9. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 + 396 = -111*l - 661 - 1021 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((70\/5)\/7)\/(-4*6\/(-12)*-56)?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*b**4 - 85*b**3 - 4*b**2 + 0*b + 10*b**4 - 2 + 3*b + 86*b**3 as y*b + a + f*b**3 + h*b**2 + r*b**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(((-15820)\/215152)\/(210\/16))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 + 58 = -2*f - 5*q, 5*q = -f + 185. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 4*i - 1. Suppose -3*s = -5 - 4. Let z be p(s). What is the second derivative of u + 5*u**5 - 5*u**5 + 0*u**z + u**5 wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*(162\/4)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16723 = 4*j + 5*x + 16758, 396 = -78*j - 2*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Two letters picked without replacement from {r: 3, x: 2, u: 2, b: 1, w: 1, i: 6}. Give prob of sequence rw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -38783?\nAnswer: 38782.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1020 (base 4) to base 12\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31138 (base 10) in base 13?\nAnswer: -11233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -4 + (-2 - (-2 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 7*q**5 - 8*q**3\/3 + 1391*q**2 + 4134*q. What is the first derivative of o(b) wrt b?\nAnswer: 420*b**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*d + 3*k + 11, -2*d - 5*k = -36. Suppose c + 6 - d = 3*v, 0 = -v - 2. What is the third biggest value in -0.5, c, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2. Suppose 3*g + 11 = 5. Let q be -57*g*(-1)\/(-6). Let j(v) = 11*v + q - 19. Determine r(j(x)).\nAnswer: -242*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 7*t - 18. Let c = -7305 - -7294. Give a(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/5 (b) 0.4 (c) 0.02 (d) -9.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1188*r**2 - 39 + 7 + 31)*(-4*r + r + 2*r).\nAnswer: 1188*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -11. What is the smallest common multiple of 9 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-623120)\/30*8\/(-64))\/((-1)\/(-9)).\nAnswer: 3, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -770.\nAnswer: 3\/770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6840 and -99\/3800?\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 17}. Give prob of sequence qp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1339\/20 - -67. Let g(w) be the third derivative of 0*w - 3\/8*w**4 - 4*w**2 - 3\/2*w**3 - 1\/360*w**6 - o*w**5 + 0. Find i, given that g(i) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61456999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/40 + 41*l**3\/2 - 108*l. Let x(m) be the second derivative of b(m). Let i(y) = 0*y - 6*y + 2*y. What is x(i(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102202031 - 10?\nAnswer: 102202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 212811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, 1\/2, -363339?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/176 and (-3161)\/1044 - (-1)\/9.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2448) - (sqrt(17)*-1 + 3).\nAnswer: -2 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 82*n**2 - 13*n + 47. Let f be l(41). Let x = f - -1427. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 4*p - 6. Let a be x(-3). Solve 3*j + 10 = -a*h + 14*h, 0 = -5*j + h - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -846, -5, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -684271.5 + 45179.5. Let c = -639093.9999928 - u. Let h = 2 + c. What is h rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 5, -2.2, -18.6, 100?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, -353, -2.\nAnswer: -353, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b - 22 = 5*i, 2*b - i = 6. Solve -b = -h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/7 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -2*h. Find the third derivative of -7*p**2 + 0*p**2 - h*p**2 - p**5 - 2*p**5 wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, 3\/2, -1\/5, 0.5 in increasing order.\nAnswer: -1\/5, 1\/13, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239 is divided by 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 14427.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1988333?\nAnswer: 941, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2205)\/33957*2178\/(-825)\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37, -30, -21, -10, 3, 18, 35?\n\"Answer: i**2 + 4*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 669506, 669498, 669486, 669470, 669450, 669426, 669398?\nAnswer: 669366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8672646 is divided by 6905?\nAnswer: 6871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823800 bigger than 1823851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) -25\/6 (c) -18 (d) 7\/286 (e) 17 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Suppose 0 = 2*u - q*u + 4*b - 68, -98 = -3*u - 4*b. Suppose 5*t + u = 85. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**5\/20 - 7*p**3\/6 - 2*p**2 + 1388*p. Give v(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 1. Suppose 0 = 3*p - 3, 0*g + z*p = g. Suppose g*d - 210 = 2*d. Calculate the highest common divisor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6050 and 4070.\nAnswer: 223850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1445157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -1 (c) 0.1 (d) -218 (e) 4 (f) 2\/9 (g) 2\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k**2 + 10*k - 20. Let z(y) = 28*y**2 + 21*y - 42. Let h(x) = -13*b(x) + 6*z(x). Calculate h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 12, -17*u + 18*u - c = -1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2 - 7. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17588.12us?\nAnswer: 17588120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 11 + 0 + 0 + 1 + (-2 - 1 + 2)*(-3 + 3 + 1))*(6 + 3*o - 6) + (0 - 1 + 0)*(2*o - 1 + 1) - 7*o + 4*o - 3*o.\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2396 * 332\nAnswer: 795472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 6. Let q be z(4). Let p = -2.5 - -2. Let n = 18541\/7 + -2649. Which is the third smallest value? (a) n (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**8\/m)\/m)\/m*m**12)**(1\/14) assuming m is positive.\nAnswer: m**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - f**2 - 3*f - 5. Let g be 6 + 78\/(-14) + (-151)\/(-7). Suppose 0 = -40*c + 51*c + g. What is r(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, b: 4, y: 2, m: 1}. What is prob of sequence bpmy?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586 a factor of 67909348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*z + 111*z - 233*z as b*z + j and give b.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.15921 litres?\nAnswer: 6159.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*r = 10, -4*r + 2 = -t - 0. Let g be (-5)\/(-10) + 3\/t. Is g equal to 1\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 7 = 5*z, -4*z + 25 = -5*f + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*q - 1230 - 841, 2*o + 4*q + 818 = 0. Let x = o - -449. Which is smaller: 38 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 653 (b) -0.3 (c) -2\/5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162486161 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -44023, -5 in descending order.\nAnswer: -5, -11, -44023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, b: 2, u: 2, y: 1, f: 1, m: 2}. What is prob of sequence byub?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118.33695 rounded to the nearest ten?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 1 = -5. Let v be 12\/(-21) + i + 0. Let a = 0.8 + 2.2. What is the second biggest value in 3\/8, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11347 - 11347.0000009004. What is y rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnt when three letters picked without replacement from uzntztzuhtmtzmzzztzm?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 2, 1, -1\/7, 20, 70, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*q = 271*q - 81*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*r = -159*r + 5. Let p = -7.4 + 6. Let z = 1.6 + p. Sort r, 0.7, z in decreasing order.\nAnswer: 0.7, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 524817 and 583130.\nAnswer: 5248170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -2298.71?\nAnswer: 2298.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 - 48?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3584 is divided by 50.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -29.884842.\nAnswer: 8.9654526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1128.937 nanoseconds to microseconds.\nAnswer: 1.128937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**2 - 12*b + 6. Let p(o) = 8*o**2 - 13*o + 6. Let n(m) = -6*p(m) + 7*x(m). Determine n(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 + 28*p - 113\/4.\nAnswer: (p - 1)*(p + 113)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 10*j**2 - 5536*j**5 - 2 - 212*j**6 + 5538*j**5 + 13*j**6 - 7*j wrt j?\nAnswer: -23880*j**3 + 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 583 - 576. Solve -4*b = -1 - g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190278 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6475722)\/66)\/(1\/(-1)*1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-3)))**(41\/5)\/(m\/m**(-12)*m**(-6)*m))**(-23) assuming m is positive.\nAnswer: m**(3749\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8232417 (base 9) in base 15?\nAnswer: 5bb107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7281 and -0.32489.\nAnswer: -0.561442409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -11 - (-7 + -5 - -18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -7*j - 22*j + 38*j. Let i(x) = -x + 1. Let k be i(2). Let r be (2 + -34)*k\/2. Solve 5*z - 12 = -n - j*n, -5*z = 2*n - r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 774 = 3*h + 5*s, 2*h + 111 = -4*s + 629. Let d = -82 + h. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {t: 2, p: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (980\/(-238) + 4)*-238\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521925509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aa6 + f6?\nAnswer: -9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 1. Let q(t) = -5*t - 6. Let j(s) = -q(s) + 2*v(s). Suppose 0 = -3*d - 4*o + 52, 5*d - 2*o - 135 = o. Suppose -3*p - d = p. What is j(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 15, 2*f = 5*n + 1061 + 292. Is 25 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39631*m + 39628*m - 79257*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {e: 2, r: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1447*u**5 - 21671*u**3 + 2*u**2 - 516811715*u?\nAnswer: -28940*u**3 - 130026*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 432457700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 87438\/15985?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.369 - 0.369. What is the third smallest value in v, 2\/7, -10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27793 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -45.27159+-133464\nAnswer: -133509.27159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4815 or 5288?\nAnswer: 5288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 687253 <= 687253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*q - 22 = 0, -3*q - 8 - 7 = 0. Solve -1 = -5*h + t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9489614 by -1.\nAnswer: -9489614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*q + 103*q = 224*q - 912. Calculate the greatest common divisor of q and 144.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (3 + 1 - 3). Let h(j) = 4*j + 8. Let d be h(p). Suppose 0 = 3*s - 3 - d. What is the greatest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.8 - -24.3. Which is the closest to 0? (a) -3 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f\/(f**(-11\/4)*f))))*f*f*f**(-7\/3)*f**(-38)\/f*f\/(f**(-1)*f*f*f))**2 assuming f is positive.\nAnswer: f**(-505\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11518 + 16844 = 58*m. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2786b (base 13) to base 5\nAnswer: -4331232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**2\/2 - l - 194. Let y(p) = 30*p + 33. Calculate 66*b(f) + 2*y(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2443 or -2437?\nAnswer: -2443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/35100 and 10\/351.\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 10. Let s be y(-3). Let w = 25 - -15. Calculate the greatest common divisor of s and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, k: 4}. Give prob of sequence kkkk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3792\/42 - (-2)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 88 + 156. Calculate the remainder when 3\/(-6) + r\/4 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 40\/12 - (-4)\/(-16). Let n(k) be the second derivative of 1\/6*k**3 + 27*k - h*k**4 + 0 + 3*k**2. Suppose n(y) = 0. Calculate y.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2794*n**3 + 1424*n**3 + 1374*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10 + 0*s**3 - 5*s - 7*s**3 - 3*s**2 + 8*s**3 - 2*s. Let m be z(6). Suppose -m = -3*h + 124. What is the remainder when h is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**4\/4 + 8*c**3\/3 + 3*c**2\/2 - 7*c - 3. Is j(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n**3 + 15*n**2 + 10*n. Let r(p) = 7*p**2 - 414*p**3 - 411*p**3 + 5*p - 418*p**3 + 1248*p**3. Give -13*r(v) + 6*u(v).\nAnswer: v**3 - v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1170 + 5883\/5. Let q be 11 + 2\/4*-6. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -2\/3*v**3 + 0*v**2 + 0 - v. Let o(q) = 6*q - 8. Let f(w) = 4*w - 5. Let a(t) = -8*f(t) + 5*o(t). What is k(a(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 747*n*z**2 + 358*n + 2*z**2 - z wrt z.\nAnswer: 1494*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v - 21. Determine t(-13).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 6*u + 71, -53 = -x - u - 63 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6036 (base 8) to base 4\nAnswer: -300132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -188. Let j = w + -145. Which is the closest to j? (a) 9\/2 (b) 1\/7 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:43 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -10*r + 6*r - 4, -w = -4*r - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 2*q + 26802 = 26766, -5*q = -2*f - 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-6))\/((-32)\/48))\/((-58)\/870).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -281*k**7\/14 - k**5\/60 + 653*k**4\/8 + k**2 + 1. What is the third derivative of c(o) wrt o?\nAnswer: -101160*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 421730 and 195254.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 - 76) + -3 + -1*2 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 18 = -2*i, 5*i - 6*i = -2*u - 11. Solve 0*j + 13 = 2*m + i*j, 5*j = -4*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 133.2 and 5.\nAnswer: 138.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -7*o + 22. Let z = o - 4. Factor -3*a**4 - 24*a**3 - 6*a**2 - 2*a + z*a - a - 11*a**4.\nAnswer: -2*a*(a + 1)**2*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2173 + -1252. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d = 51*d - 52. Let n(f) = -f**2 - f - 2. Determine n(d).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18049.66 years in months?\nAnswer: 216595.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.6 - -29. Let n = i + -11.9. Let p = 1 - -2. Which is the second biggest value? (a) 3\/4 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*1 + (-4 - -3)*1. Solve -4*k = k - z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21187 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 2\/15, 2, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33311 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 11:18 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 270368?\nAnswer: 1351840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 11. Let f be (w\/14)\/(18\/63). Suppose f*u - 25500025 = 5*s, 33999995 = 4*u - 0*s + s. Round u to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 891678147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189160?\nAnswer: 2, 5, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 354*u + 3889. What is n(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 700, 1085, 1470, 1855, 2240?\nAnswer: 2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*o**2 + 1170*o**2 - 298*o**2.\nAnswer: 1112*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-8 + 0 + 2). Suppose 3*s = -2*r - 15, -r + s - 19 = r. Let b be (-1)\/(2 - r\/(-5)). Sort z, -4, b in ascending order.\nAnswer: b, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 355 + -358. Suppose -5*w + 30 = -4*w. Let n be 64\/w + 2 + -4. Which is bigger: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*j = 610, 4*b + 5*j = 2*j + 1225. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w*w)**47*w*w*w**8*w**(-7) assuming w is positive.\nAnswer: w**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5750\/11, -1, -2\/9, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(120))\/sqrt(4))\/(sqrt(810) + (sqrt(810) - 1*sqrt(810)*-6))*-6.\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8380.\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4706288526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-915)\/24*(-2)\/10 and 36\/(-10) - (2 - 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-18 + 0 - (-27 - -2 - (39 + -56))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**3 - 5*v**2 + 5*v - 6. Let z(m) be the third derivative of 7\/6*m**3 - 1\/15*m**6 - 7*m**2 - 1\/4*m**4 + 0 + 1\/10*m**5 + 0*m. Give 6*c(w) + 5*z(w).\nAnswer: 2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -225, -3, 2\/23, -0.5 in increasing order.\nAnswer: -225, -3, -0.5, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10. Let i = n - -20. What is the greatest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 12. Let w(y) = -2*y. Let x(z) = z. Let p(f) = m*x(f) + w(f). Let q(s) = s - s - 2*s**2. Give q(p(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 20304*m - 20306*m = 28, 28 = -2*s - 2*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2950 + 44252\/15. What is the biggest value in y, 1\/6, 0.054?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-8 - -4 - 6 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(432) + (sqrt(432) - 3*sqrt(432)))*4)\/(4*(sqrt(4)*-2*6 - (sqrt(40)\/sqrt(40) - sqrt(4)))).\nAnswer: 60*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 3 (b) 5\/4 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - -5)\/((-8)\/(-2264)) is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2021565.8 and 0.4.\nAnswer: 808626.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*q - 1933246 = -1935526 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 - (4\/(-1) - -2) is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 53*b + 22*b - 13*b.\nAnswer: 62*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s. Let j(k) = -35*k + 1. Let c(t) = -36*d(t) - 4*j(t). Let o(q) be the first derivative of 4*q**2 + 9*q - 1316. Give -13*c(m) - 6*o(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 24*f - 21. What is n(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12227 + 20097. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9\/4)\/(o\/((o\/o**(-11))\/o*o)*o))\/((o\/(o\/((o\/o**(-15))\/o)))\/(o**(-13)*o)) assuming o is positive.\nAnswer: o**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**(-21))**(2\/73))**(-6\/31))**(8\/11) assuming x is positive.\nAnswer: x**(-2208\/24893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 13*n - 30.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6324.53913s in weeks?\nAnswer: 0.010457240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101100110111101110 (base 2) to base 4.\nAnswer: -3230313232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*u**2 - 124310*u - 10172902 wrt u.\nAnswer: 54*u - 124310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 2*h. Let m(b) = 43*b. Give d(m(u)).\nAnswer: 1849*u**2 - 86*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 279*b - 954. Let d be p(4). Solve 3*t = -24*t - d for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 8*l**2 - l + 19289. Does 30 divide h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrrrrmmrrrmy. What is prob of sequence rr?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*d**2 + 25*d**2 - 27*d**2 + 27 wrt d?\nAnswer: -52*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 14*p - 9*p + 3*p.\nAnswer: 8*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(189))\/(-3*(sqrt(3) + sqrt(12)\/sqrt(4)) + (sqrt(432) - (sqrt(432) - -1*sqrt(432))) + sqrt(3)) + -4.\nAnswer: -4 + 36*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 - 3451 = -313*q + 1663. Solve r + 2*r + 30 = 3*f, 2*r = -5*f + q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 12:28 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 - 348 = 64*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569572*l = 2*j + 569573*l - 2 - 4, -9*j + 3*l + 27 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100111010101001100 (base 2) in base 4?\nAnswer: 3213111030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -54 - 90. Suppose 4*w - 28 = o. Let f(t) = -t - 18 + w + 9. Calculate f(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.98 - 12.28. What is the biggest value in -0.4, a, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 16. Solve 3*d = -b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*r + 25*r + 1 + 253*r**3 + 74*r - 3 - 1 to the form t*r**3 + p*r + y + h*r**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 486 = 8166. What is w rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14568759973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 4*c + 4*c)*(-5*c + 7*c + 3*c)*(-2 - 2 - 5) to g + w*c + b*c**2 and give b.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -88*k - 4844. Give z(-59).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*g - 79 - 53 = 0, 0 = -5*c + g + 146. Differentiate 30*t**3 - 3*t**4 - 2 - c*t**3 with respect to t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757, -1516, -2273, -3028, -3781, -4532?\nAnswer: -5281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Suppose -6*q + 4*q + 6 = h. Solve -v - q = 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*f + 78*f. Let c = 185\/8 - 45\/2. Let c*z**3 + z**2 + f + 1\/2*z + 1\/8*z**4 = 0. Calculate z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 46475 + 424 = 5*p, 4*w + 2*p - 46890 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3608.65114 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhjhhksh. Give prob of sequence ks.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-35) + 8\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {w: 1, n: 3, i: 2, p: 2, z: 3, u: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -759*c**2 - 161*c - 161. Let j(y) = -19*y**2 - 4*y - 4. Let w(r) = -161*j(r) + 4*l(r). Let o(f) = -2*f. Calculate w(o(a)).\nAnswer: 92*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8496 is divided by 164.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-974)\/322 - (-3 + -1). Let d = 29\/23 - m. Which is the closest to d? (a) 2 (b) 6\/13 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 97?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 45*z - 9. Let h(k) = -22*k + 5. Let o(b) = -9*h(b) - 5*p(b). Suppose 16*i + 22 + 8 = 46. Give o(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1897 - n**2 + 1890 - 3787.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534694, -1069390, -1604086, -2138782, -2673478?\nAnswer: -3208174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3333 + -3328. Solve 0*s = -2*f + s - 7, -4*f + k*s - 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 12 = 6*c - 35. Let m be (9\/(-12))\/(3\/(-17)). Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524857.\nAnswer: 524857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14107582 divided by -23014?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 12:49 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*u = -86*u - 24. Solve y + u*g - 9 = -0*y, -2*g + 4 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + x**2 - 7*x + 20171. Is w(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1. Let o(t) = -4*t - 2. Determine 4*n(b) + o(b).\nAnswer: -4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-21) - (-3)\/(-36)*10728\/(-126). Suppose 5*w + 45 = 4*g, 5*g - 2*w - 11 = 24. Solve 6*a - g - k = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -1\/2, 1\/68, -19, 2\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*j**3 - 69300*j**2 + 173208*j - 69280 = 0. Calculate j.\nAnswer: 1\/2, 2, 8660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 0 + 5 - 5*i. Let w be y(2). Let u = w - -23. What is the greatest common factor of u and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnk. Give prob of sequence nq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.696 + 0.196. Which is the smallest value? (a) o (b) -3 (c) 3\/5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.883 and -3120?\nAnswer: -2754.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 147*l - 1211. Let v(r) = -r**3 - r - 2. Let k(q) = -i(q) - v(q). Differentiate k(b) with respect to b.\nAnswer: -3*b**2 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -17. Let y = 8 + p. Let i = 158\/3 - 52. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5477662*c**3*v**3 + 334*c**3*v**2 - 4*c*v**2 - 91*c wrt v.\nAnswer: -32865972*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -782, -779, -774, -767?\n\"Answer: l**2 - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 3*p + 3. Let f be 1 + 0 + (0 - 0\/(-3)). Let b(o) = 7*o**2 - 15*o**2 + 6 - f - 5*o + 14*o**2. Determine 3*b(m) - 5*t(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -5*z + 84, -29*z - 2*y - 28 = -32*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2550 and 97\/6630.\nAnswer: 33150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/383 less than or equal to 6245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/2 - 48290*z**2\/3 - 777275839*z\/6 + 259113409\/3 = 0.\nAnswer: -16097, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 - -611. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3696*q**4 - 134271*q**3\/7 + 231531*q**2\/7 - 142776*q\/7 + 19644\/7 = 0?\nAnswer: 1637\/8624, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2022508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**2 - 6*g**4 - 19*g**5 + 1 - 21*g**4 - 15*g**3 + 7*g - 3*g**3 + 46*g**5.\nAnswer: (g - 1)**2*(3*g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 12*l + 14. Let g(p) = -p + 1. Let c(a) = 3*g(a) - n(a). Suppose -4*w = -28 - 4. Determine c(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17330804 and 4881?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458106*j - 458094*j + 916191*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -18. Let w be m + (-8)\/4 + 719997. Round w to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33767707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 71 - (146 + -77 + 90)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 24*r - 10. Suppose 2*z - 11 = 9. What is the tens digit of t(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.7 - -63.7. Let i = u - 57. Sort -7, i, -0.5, 5 in ascending order.\nAnswer: -7, -0.5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.65275 rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - (-744)\/168)*(-55 + -1). What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477110 (base 9) to base 12.\nAnswer: 11a330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + -9 - 22784*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3*o**3 - 2*m**3*o**2 + 390461*m**3 + m**2*o**2 + 2*m**2*o - 32*m*o**2 + 388388165*o**6 wrt o.\nAnswer: 6*m**3 + 46606579800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*d - 12. Suppose -5*s = 4*b - d, -3 - 3 = -s - 2*b. Suppose 0 = s*z - z - 11. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2.1, -5, -67, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-13704)\/(-21))\/(2\/7)?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 0*x - 4*x**2 - 25*x - 3*x**2.\nAnswer: -5*x**2 - 25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -47. Calculate the greatest common divisor of 30 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (13 - 28) + 3 + 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + h + 12, 5*h + 24 = w. Let k be (12 + (-7 - 1))*w. Solve -k = 6*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 2252, 7350, 17024, 32738?\nAnswer: 55956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u - 48 = 51*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven halves of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 99, 95, 81, 51, -1, -81?\n\"Answer: -w**3 + w**2 + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 18*b - 24. Calculate q(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdddfdddydxdxddwfdyd. What is prob of picking 2 d?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:15 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 8778358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33821 divided by -1?\nAnswer: -33821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 310019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 - 1 - (1 - 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18993869, -18993856, -18993833, -18993800, -18993757?\n\"Answer: 5*w**2 - 2*w - 18993872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 3863\/34, -0.4, -2\/3, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 2. Let a(h) = 162*h + 243. Let s(w) = -a(w) + 5*b(w). Differentiate s(d) wrt d.\nAnswer: -167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 1 - 1 + 15*o to k*o + z and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j**2 + 4. Let o be n(0). Suppose 1 = -5*z - o. Is 9 a factor of 2 + 7\/(z\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509985 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/4)\/(-5)*0\/(-5). Solve y = -5*j + 1 - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 9*s + 17. Is h(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7399291461388 + 5.\nAnswer: 7399291461393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*v**3 - 140*i**3*v**2 + 52*i**2*v + 2*v**3 wrt i.\nAnswer: 6*v**3 - 840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 340*m**2 - 1245*m + 20790.\nAnswer: -5*(m - 6)*(m + 11)*(m + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 12*f**2 + 109*f - 1080. Let n be o(11). Put 1, n, 4, -39 in decreasing order.\nAnswer: 4, 1, n, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let s be 1 + (-2)\/((-207)\/27 - -7). Let y = 3\/2 + -2. Which is the closest to q? (a) s (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132127, -131742, -131091, -130168, -128967, -127482?\nAnswer: -125707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/((-2)\/(-3))*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7518)\/(-70) + 4\/(-10)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/2*(-312)\/(-104)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11388520 divided by -2847130?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185\/4 + -46. Let y = -0.08 + 0.18. Let z = -554 + 558. What is the nearest to -2\/7 in w, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 729337596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 1. Suppose 5 = 3*z + 2*i, 16 = 2*z - 2*i - 3*i. Let m(k) = 34 - 16 - z*k - 18. Determine y(m(g)).\nAnswer: 12*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 - 7. What is m rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50544006 divided by -16848002\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -3) + 1 + -6. Suppose 6 = -2*n, -3 + 9 = -3*t + 3*n. Let w = -2 - t. Sort w, r, -1 in decreasing order.\nAnswer: w, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12542587.\nAnswer: 29, 432503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 451.99761 + -452. Round o to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36198\/385 and 95 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*6 - (0 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-2))\/(((-112)\/288)\/(-5*(-33)\/55)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851473841?\nAnswer: 1213, 701957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-24))\/((-27)\/(-18))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.162289 months in years?\nAnswer: 1.93019075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (616\/(-704))\/((-2)\/16) + 693\/(-165).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 460450 to the nearest 10000.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - t**2 + 1104*t - 617. What is a(-34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w + 44*w - 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - 0.2. Suppose -h = m - 1, -2*m - 3*h + 1 = 4. Which is bigger: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttoomtooootmomo. What is prob of sequence motm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -54, 0.1, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 408 and 3196348.\nAnswer: 326027496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 33740 = 16*h. Let n = -303781\/18 - h. What is the common denominator of n and 97\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172624906*m - 462477442.\nAnswer: -172624906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12424 + 3192964\/257. Is 0 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45330 (base 7) to base 15.\nAnswer: -360c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, 6, 20, 40, 66, 98, 136?\n\"Answer: 3*a**2 - a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2248148.\nAnswer: 2, 7, 17, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-82*q**4 + 1140 - 1140 - 2*q**3).\nAnswer: 164*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times -6?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 554803022 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + k = 3, i + 3*i = 5*k + 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -19. Let l = 39 - 41. Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 12*p + 8*p - 2*p in the form g*p + w and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**2 - 12*x**2 + 12*x**2 - 6*x**2.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-6)\/(-16))\/((-18720)\/(-960)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49910, -50245, -51386, -53735, -57694?\nAnswer: -63665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35\/2 - 3\/2. Let d = j - 3. What is the remainder when 24 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -45 + 1 - (13325 - 13413).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.7 + 16.5. Let v = -3 - 6. Let i = v + r. What is the third biggest value in 4, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8725209cm to millimeters.\nAnswer: 8.725209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 46*f + 16. Determine i(-4).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 2*h + 3*h. Let g(l) be the second derivative of l**6\/360 + l**3 - 5*l. Let x(o) be the second derivative of g(o). Give x(a(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 25. Let x(k) = -2*k**3 - 6*k**2 - k - 6. Let i = 76 + -70. Let y(v) = 6*v**3 + 17*v**2 + 3*v + 17. Determine i*y(h) + w*x(h).\nAnswer: 2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0*b**4 - 3*b - 1\/6*b**3 + 1\/5*b**5 + 0 - 1\/2*b**2. Let p = 1 + -2. Determine z(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1889.\nAnswer: 7556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from zssssszszszzr?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -19*h - 17. Let o(r) = -r**3 + 7*r**2 - 8*r + 5. Let s be o(5). Suppose 10*q - 15*q - s = 0. Does 11 divide w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15114 by -19.\nAnswer: 15114\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 3195)\/5 + 8. Let q = h - -640. Solve -7*p - 6 = -q*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 266228280*m - 4429843566984900.\nAnswer: -4*(m - 33278535)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 5)*(-2*d**3 - d**3 + 0*d**3) - 2*d**3 - 9*d**3 - 12*d**3 as g*d**3 + q*d + n + m*d**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1579*k - 645806. Determine b(-409).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k + 1. Let i(b) = 7*b + 1. Let z = 7 + -6. Suppose -v = z - 4. Let y(r) = v*d(r) - 4*i(r). Calculate y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143211187.\nAnswer: 61, 919, 20393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*z - 38*z + 21. Suppose 7*u - z = 11. Factor 16\/19 - 98\/19*y**3 + 252\/19*y**u - 120\/19*y.\nAnswer: -2*(y - 2)*(7*y - 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15701, -31403, -47095, -62771, -78425, -94051?\nAnswer: -109643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 18*p**5 + 1857*p**4 + 30819*p**3 + 156231*p**2 + 147663*p + 20412 = 0?\nAnswer: -84, -9, -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 7:19 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 5*z + 4*z + 3*z + 2*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 0, 5*v - 42069 = -3*r + 24777. List the prime factors of r.\nAnswer: 3, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Suppose 0 = -4*c + n + 30, -5*n = 3*c - c - 26. Suppose y + x + x + c = 0, 5*y + x + 4 = 0. Solve p - 3 = -5*u, 5*u = -4*p - y - m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.1 - -9.029. Let t = h + -0.027. What is t rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 7*i - 4 + 1\/2*i**2 - 1\/3*i**3. What is w(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let w = 11.93 + 0.07. Let f = w + -12.1. Which is the third biggest value? (a) s (b) -2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -479 divided by -867049?\nAnswer: 479\/867049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74752 and 1?\nAnswer: 74752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2. Let l(r) be the second derivative of 5*r**4\/12 + 3*r. What is o(l(s))?\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 7\/(28\/1320). Suppose 0 = 3*a + 3*a + 126. Is 35\/a - w\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/2 + 1. Let k be ((-6)\/72)\/(1\/(-9)). Suppose -s*v + 0 - k*v**2 = 0. What is v?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-8\/3))**(-45) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1351?\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 138403, -1, 5 in descending order.\nAnswer: 138403, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -3*s - 1\/6*s**3 - 1\/2*s**2 + 0. Let m be c(-3). What is the second biggest value in 4, m, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - 179\/(-46) - (-11)\/198*-54 and 59\/14?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f - 5. Let q = 18 - 20. What is the units digit of j(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0235 * 0.223\nAnswer: 0.0052405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w**2. Let h(q) = -3*q**2 - q - 7. Let x(p) = -364*p**2 - 117*p - 819. Let n(j) = -234*h(j) + 2*x(j). Give z(n(b)).\nAnswer: 8112*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5094 = 5*h - 3*o, -h - 7*o + 6*o = -1014. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*h - 15, -3*j + h + 33 = -8*j. Find the common denominator of -77\/18 and (-130)\/j*(-2)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**4 - 226 + 13*q + 226 wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 + 1862938*j - 1862936 = 0. What is j?\nAnswer: 1, 931468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znznnnzzznnccnz. Give prob of picking 4 n.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-4))\/((-180)\/16 - (-182 - -171))?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-527)\/(-930) - (-2)\/(-4))*(-27)\/24?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10532884 to the power of 1\/2, to the nearest integer?\nAnswer: 3245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1887 - 0.6887. Which is the nearest to 2\/25? (a) x (b) 6 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4012102 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-1 - 0)\/1. Let f be -2*(t - -2) + -2. Suppose 3*v + f*v = 231. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2927 = -4*s - 3*t, 0 = -3*s - 2*t - 0*t + 2195. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290475 is divided by 2847?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 617 - -2 - (-4 - -3). Suppose 2*x + v = 1722. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -2*z - 282. Let i be -3 - (0 + 2 + z). Suppose 4*q = 3*q + i. What is q rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -3*h - h. What are the prime factors of h?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 16*i - 10*i - 0*i + 57, 49*n + 3*i + 48 = 53*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -883, -3300, -7371, -13114, -20547, -29688?\nAnswer: -40555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4535 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892334605.\nAnswer: 5, 1087, 164183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:44 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-21)\/15)*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 460, 35, 2, 6\/11, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 103. Let h be (-1 - -1)\/(0 - -1). Solve 4*m - 4*f = -o, h = -m - 5*f - 11 - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/73 in -0.29, -1\/5, -1\/7, -19, 6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -109. Is h greater than or equal to -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l\/(l\/(l*l**(-4)\/l))))\/(l\/((l\/(l*l**(2\/25))*l)\/l*l)*l))**9 assuming l is positive.\nAnswer: l**(882\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 133310 = -n, 8*n = 25*s - 22*s - 79949. What are the prime factors of s?\nAnswer: 7, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 2*m + 2*m + 5*m + 3*m - 10 - 9*m + (0*m + m + 0*m)*(-4 - 2 + 4).\nAnswer: -2*m - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -298, -2, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(2)*1))\/sqrt(10).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)\/v*v*v*v\/(v**11*v) assuming v is positive.\nAnswer: v**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (54\/24)\/((-39)\/104)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) -0.5 (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 69*u + 19053929 = -10*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337600?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2542, -2561, -2600, -2665, -2762, -2897?\n\"Answer: -j**3 - 4*j**2 - 2537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 10. Let f = 11 + w. Suppose q - 2 = 0, z - f - 1 = -q. Solve -z*l + 4*v = -29, -2*l - 10 = -7*l - v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 1. Let i(s) = s**2 + s - 2. Let b(v) = i(v) - 3*t(v). Let y(h) = -6*h**2 + h + 1. Let j be y(-1). What is b(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -544 (base 12) to base 7\nAnswer: -2152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 11:07 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let w(j) = -5*j - 20. Let c be w(-4). Suppose 0 = 3*r - c + 6. Let f(h) = -4*h + 1. Let i = 4 - 3. What is i*f(z) + r*a(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 30*f = 100 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 16) to base 13.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(80))**2.\nAnswer: -192 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 11:50 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 6:48 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k**3 - 9*k**3 - 19*k**3.\nAnswer: -48*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 48 - 24)*((1 + 2 - 2)*(-4 - 1 + 3) + 2 - 2 + 2 - 3 + 1 + 1)*(0*v - 2*v**2 - 4*v - 2*v).\nAnswer: 2*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(sqrt(1573) - 1*sqrt(1573)) - (-5 + -5 + sqrt(1573)*2))**2.\nAnswer: -220*sqrt(13) + 6317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (16 + 0 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -534 + 43*v**2 + 239 - 402 - 24 + 16*v**2 - v**3 wrt v?\nAnswer: -3*v**2 + 118*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73870561.943 + -73838230. Let u = z + -32300. Let l = u + -32. Round l to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 + 49*a**4 + 750*a**3 + 3726*a**2 + 6993*a + 3969.\nAnswer: (a + 1)*(a + 3)**2*(a + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 796365363 to the power of 1\/3, to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/11094 and 103\/22188.\nAnswer: 22188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1026\/(-190) + (1 - (-6)\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 45. Which is the closest to -0.05? (a) g (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -69, -112, -163, -216, -265, -304, -327?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14818033.\nAnswer: 17, 871649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 3621\/(-68) + (-16)\/(-64). Let v be -53 + (-1*6)\/(-2). Is u != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0*y**5 + 0 + 0*y**3 - 1\/6*y**4 + 2*y + 1\/56*y**8 + 0*y**7 + 0*y**6 + 0*y**2. What is the third derivative of n(u) wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*t**3 + 0*t - 899*t**2 + 899*t**2 - 1058*t**3 + 0*t.\nAnswer: -208*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3870 - 3841. Solve 5*g + y = -2*o, 3*g + 4*o = g - 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5*y*(y**(-1\/10)*y*y)\/y*y*(y\/(y*y**(6\/7)))\/y**5 assuming y is positive.\nAnswer: y**(143\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 90706.87 grams?\nAnswer: 90706870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d376 + -1?\nAnswer: 6d375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 4 (b) -10 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 10 = x - 21, 0 = x + n - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.043*9386\nAnswer: -19175.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3*h + 3 = 0. Let l be (-134)\/8 - (-12)\/16. Let w = l + 17. Is w bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46, -96, -150, -208?\n\"Answer: -2*f**2 - 44*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -47*w - 23. Let k(d) = d + 2. What is -c(y) - 7*k(y)?\nAnswer: 40*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -24. What is the closest to 0 in -2\/5, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**5 - 18440*y**4 - 2113480*y**3 - 55240960*y**2 + 246915280*y - 255664000 = 0. What is y?\nAnswer: -58, 2, 3800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1122*c + 1131*c = 99. Let x(j) = j**2 + 6*j + 3. Let m be x(-4). Let a be (-163)\/m - 2\/(-5). What is the highest common divisor of c and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -14, -14, -4, 22, 70?\n\"Answer: d**3 - 4*d**2 + d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116831.\nAnswer: 11, 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/4 + 23*u**3\/4 + 19*u**2\/2 - 8*u - 8.\nAnswer: (u - 1)*(u + 4)**2*(3*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)*i*i**(-1\/4))\/(i**(2\/11)\/(i*(i**(2\/31)\/i)\/i*i))*((i\/i**(-1\/2)*i)\/(i*(i\/(i**(-3)\/i))\/i))\/(i**(-3)\/(i\/(i*i**0))) assuming i is positive.\nAnswer: i**(8087\/9548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.384 + 110.384. Let y = -112 + j. Which is the closest to 0.6? (a) 0.1 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.77 + 16.77. What is the closest to -1 in r, -2, -166?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -356 + 371. Let r(a) = a**2 - 12*a + 10. What is the remainder when r(o) is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 44.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10591 + 10591. Let d(f) = 63 + f**2 + 41 + f**2 - 2*f. Let s be d(g). What is the highest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 4)*(-15 + 9 - 3*a + a) to the form p + n*a and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*g - 2060, 2*g = -g + 12. Let j be 7\/(-5) + 1 + u\/(-40). Let b(c) = 3*c - 9. What is the tens digit of b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7023726.\nAnswer: 2, 3, 130069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -584, -1258, -2018, -2864?\n\"Answer: -43*x**2 - 545*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*d, 2*o = -2*o - 5*d + 13. Let n be -1*(-8 - o - 0). Solve -4*h + 3*s - 14 = 1, n*h - 20 = -4*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from lllwi.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9160062?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g + g)*(-6*g - 3*g + 0*g) - 2 + g**2 + 1 - 2*g**2.\nAnswer: -37*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-6)\/sqrt(12) + sqrt(396) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 667 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 23*x = 26*x - 12, -4*x - 3 = -a. What is the remainder when 55 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91429 is divided by 91362.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 9. Let c(m) = 2*m - 19. Let s(d) = -3*c(d) + 5*z(d). Let v be s(9). Solve v*g - h = 7, -4*g + h + 8 = -h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/451, 4, -24, -2\/5?\nAnswer: -2\/451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1234*f**2 + 14*f - 17. What is a(1)?\nAnswer: 1231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = -l, -2*l + 10 = -3*l - t. Let u be (-1577)\/l + (-2)\/7. Is (-1)\/(-4) + u\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 8:13 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -104490000 rounded to the nearest 1000000?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 34*l**2 - 5. Determine f(34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/5 and 1352 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237172303028 plus 1?\nAnswer: 237172303029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 49. Let t = m + -9. What is the remainder when (-2)\/(-6) - 164\/(-12) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 1195 - 95. Let v = x - 94. Is (-2)\/v - ((-16912)\/3)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 7*x - 7. Let q be -4*-3*15\/36. What is r(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 + 148. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636520.\nAnswer: 2, 5, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 9*b - 17. Let u be j(-7). Let m be ((-35)\/(-10))\/(u\/900). What is the hundreds digit of (0 + 1)\/((-3)\/(m\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 291.34041 to 0 decimal places.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 - ((58 - 54) + 40)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 - 10*p**2 - 9*p + 6. Let b(w) = 5*w**3 - 10*w**2 - 10*w + 5. Let r(m) = -4*b(m) + 5*j(m). What is k in r(k) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 212, 323?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -15719435.7175.\nAnswer: -15719440.7175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 - 18.3. Let p = s + -6. Let n = p + 27. Which is the smallest value? (a) n (b) -0.03 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1188940164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*j - 0 - 24, -24 = -5*t - 3*j. Sort -1, t, -250, 4 in decreasing order.\nAnswer: 4, t, -1, -250","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxxubh. Give prob of picking 1 h and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -635 + 436. Let r = f - -319. Calculate the highest common factor of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5 + 1394*q**4 + 47090*q**3 + 498590*q**2 + 1380668*q - 1927744 = 0. What is q?\nAnswer: -662, -16, -13, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-80 + 1)\/1*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -16513\/1578?\nAnswer: -16513\/1578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 136, 210, 334, 508, 732?\n\"Answer: 25*o**2 - o + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838153.3 centimeters to millimeters.\nAnswer: 8381533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.0372494.\nAnswer: 0.0186247","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473 - 34411*a**2 - 473 + 3*a.\nAnswer: -34411*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1781.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((3*sqrt(567)*-5 - sqrt(567))**2*-6 + 0) + 4 + 0)*6.\nAnswer: 10450968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose 0 = d*w + 1 - 7. Solve -w*m - 3 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.863428 minus 1?\nAnswer: 18.863428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -71 = -916497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*d**4 - 29633*d**3 + 80560*d**2 + 321956*d + 84720 = 0. What is d?\nAnswer: -4236, -2, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 9 + -13 + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**4\/30 - 8*i**3\/5 - 23*i**2\/5 + 6*i + 22. Let k(v) = 0. Calculate v.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/5 - 2866914*m**3\/5 - 309642264*m**2\/5 - 11147308128*m\/5 - 26753763456 = 0.\nAnswer: -36, 1433565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 31 = 4*v, 2*r = 2*v - 0 + 2. Suppose -5 + 1 = -v*p. Calculate the highest common divisor of p and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/9553 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (132\/528)\/(15\/8)*10*6*-3\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2. Let t be ((-3)\/(-6))\/((-6)\/(-24)). Let k(u) = -t + 2 - u**2 + 8*u**2. What is i(k(s))?\nAnswer: 196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7987*j = 3504*j + 35864 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -88806 divided by 6\nAnswer: -14801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:00 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 510 + -331. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 13*f**2 - 12*f + 51. What is g(13)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-4) + (-45)\/(-12). What is the tens digit of (-8)\/l*(-348)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*h - 0*u + 56, -2*h = u - 51. 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: Calculate the highest common divisor of 1706708 and 3364.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57, -39, -1, 63, 159, 293?\n\"Answer: x**3 + 4*x**2 - x - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -16. Let d(j) = 4*j - x*j + j + 4*j**2. Let p(k) = 13*k - 6*k - 5*k - 4*k. Determine p(d(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 11, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 5*i**2 - 4*i**2)*(-5*i**3 + i**3 + 3*i**3) + (35*i + 2*i**2 - 35*i)*(-318*i**3 + 117*i**3 - 46*i**3).\nAnswer: -496*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/7)\/h*h**(-1\/2)*h*((h\/(h\/(h*h\/h**(-2\/5))))\/h*h)\/h*h**(-1))**(17\/2))**(-36) assuming h is positive.\nAnswer: h**(7191\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**9\/20160 + r**8\/3360 - r**7\/1680 - r**6\/120 + r**5\/20 + 3*r**2. Let j(x) be the third derivative of w(x). Factor j(s).\nAnswer: 3*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (185 + 205 - 347)*(27*b + 17*b + 16*b)*(2 - 2 + 2).\nAnswer: 5160*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.18 * 0.0181.\nAnswer: 0.039458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 20 - 65 = -4*u, -2*u - 51 = 3*h. Let r(y) = 9*y + 193. Determine r(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 n, and 1 f when three letters picked without replacement from {d: 4, n: 2, q: 4, x: 1, i: 2, f: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/3 - 4*j**3 - 1550*j**2\/3.\nAnswer: 2*j**2*(j - 31)*(j + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/6954 and 97\/5124.\nAnswer: 97356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 25943*t - 103766. What is y(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -868*-12*(-18)\/(-18144).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10971 and 424?\nAnswer: 87768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 41. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*x = 5. Suppose 3*f + x*s - 265 + 45 = 0, f + 2*s = 74. Suppose 3*p - 28 = -3*l + 2*l, 3*l = -6. Calculate the highest common factor of f and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 13*y - 7. Let q(p) = -109 - 7*p + 135 - 23*p - 26. Give n(q(z)).\nAnswer: -390*z - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7776885 divided by -1317\nAnswer: -5905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234452552.\nAnswer: 2, 19, 1542451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 194490350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -7. Let y(m) = 71*m - 6. Let t be y(2). Suppose t = -8*d + 256. Sort 1, a, d in decreasing order.\nAnswer: d, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157570533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-9))\/(2\/(-12)). Suppose n*h - 74 - 96 = 0. Suppose -4*b = -3*r - 9 - 104, 3*b - h = 2*r. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131123\/3, -1, 1\/8 in decreasing order.\nAnswer: 1\/8, -1, -131123\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 865212 at least 865201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -28 - -34 - -13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/21 + ((-275)\/7 - 0). Let w = 43 + n. Suppose -3*u + 36 = 4*v + 7, -3*u = 2*v - 25. Sort u, w, -4.\nAnswer: -4, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -70, -128, -212, -334, -506?\n\"Answer: -2*c**3 - c**2 - 41*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2*v**3\/21 - 183*v**2\/7 - 3463. Determine f so that s(f) = 0.\nAnswer: 0, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u**2 + 25*u - 22. Let z(k) = -7. Let i(x) = 57. Let n(c) = 4*i(c) + 33*z(c). Let q(a) = b(a) - 4*n(a). Factor q(j).\nAnswer: -5*(j - 2)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-1) + 33\/(96\/(-32))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let w be o(-3). Let a = w - -14\/5. What is the third biggest value in 0, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -898453 and -6.092.\nAnswer: -898459.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 292*h + 4240.\nAnswer: 4*(h + 20)*(h + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s + 1. Let k be x(-5). What is the lowest common multiple of 24 and (((-45)\/(-4))\/(-3))\/(11\/k)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -5*b**7\/42 + 77*b**6\/6 - 797*b**5\/2 + 10825*b**4\/6 - 20905*b**3\/6 + 6845*b**2\/2 - 1108*b. Factor v(l).\nAnswer: -5*(l - 37)**2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 91 - ((-4)\/(-18) - (-22)\/(-18)). Let i = q + -83. What is the highest common factor of 6 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4958 + -39727\/8. What is the common denominator of t and -53\/110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 42*l - 1. Determine h(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c*u**2 + 27754*c*u - c + 31514*u**2 wrt c?\nAnswer: -8*u**2 + 27754*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -202 - -201.99999866. Round g to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -21) + -33 + 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.06 - -0.06. Let d = -37 - m. Let q = d + 24.8. Which is greater: q or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = -2*g, -7*p + g = -3*p - 33. Suppose p*b - 12 = 4*b. Solve 0*y = b*y - 2*s + 18, 0 = 2*s - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62291057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 7*j**2 + 2*j + 1. Is b(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -3, 2, 2\/55, 255.08?\nAnswer: 255.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*h - 21 = 0, 2*h - 87 = 5*l - 90 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 16*r - 20*r + 3 + 19*r**2 + 5*r**2. Let y be i(1). Let b = y + 8. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 8 + 2. Let v(l) = 6*l - 6*l - 12*l + 0 + p. Is v(-3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4728*w**3 - 9457*w**3 + 4722*w**3 - 354927*w + 354927*w.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 + i. Let d be l(2). Let z(n) = -n**2 + 3*n - 2. Let f be z(d). Suppose f*y + 10 = y. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 + -155. Let o = 20 + -15. Sort o, 6\/7, 4, c in decreasing order.\nAnswer: o, 4, 6\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28184)\/(-1365) + (-64)\/(-28) - 9 - 238\/17.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5082 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2600782 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 863 - 868. Let n(i) = i**3 + i**2 - 5*i - 3. Suppose 4*o - 3*o + 3 = 0. Let r be n(o). What is the nearest to r in 3, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16346 to three decimal places.\nAnswer: 0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.8*1500.\nAnswer: -17700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (1 + 34 - 37)) + (1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5014980 and 1935.\nAnswer: 215644140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdyf when four letters picked without replacement from {f: 5, h: 4, d: 1, q: 1, y: 1}?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17*y**2 + 797*y + 1675. Determine t(49).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4913, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l. What is the least common multiple of 50 and c(-10)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 1\/4, 2, -1\/7, -946, 0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 22 = -5*z, 72*c - 77*c - 10 = -z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-342)*19)\/((-2)\/(-10)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.21287 millimeters in kilometers?\nAnswer: 0.00006721287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27832 times -7?\nAnswer: -1.94824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*g**5 + 1892*g**4 - 167209*g**2?\nAnswer: 1500*g**2 + 45408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 10*c - 2345. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Let p = 19 + k. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 28. Let h be p(8). Suppose h*n - 5*g = -0*g + 70, -4*g = 5*n - 67. Calculate the highest common factor of 255 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**8\/1512 + 4*k**7\/945 + k**6\/108 + k**5\/135 + 8*k**2. Suppose y(l) = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 - 24*k**2 - 3.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 2*f**2 + 8*f + 5. Let p(y) = 2*y**3 - y**2 - 8*y - 4. Let a(v) = 6*l(v) + 5*p(v). Is a(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154801895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (11*11\/4598)\/(4\/(-24))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 736847?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, l: 1, d: 4, n: 5}. Give prob of picking 1 l, 1 s, and 1 d.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75393581?\nAnswer: 31, 619, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -41*i**3 - 50*i**2 + 2*i - 12. Let f(r) = -r**2 - r + 2. Let n(m) = f(m) - l(m). Find the second derivative of n(o) wrt o.\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 16 + 13 + 4 - 2*d**2 + 2*d**2 - d**2 + (7*d - 2*d - 3*d)*(5*d - d - 2*d) + 4*d**2 + 0*d**2 - 2*d**2 + 3*d**2 - d**2 - d**2.\nAnswer: 5*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4848 and 906879?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 816919853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0*j**3 + 0*j**4 + 5*j**2 + 0*j**6 + 0*j - 1\/210*j**7 + 1\/20*j**5 + 0. Find the third derivative of t(d) wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 q, and 1 v when three letters picked without replacement from {q: 1, v: 1, f: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 15*s**2 - 21*s - 104. Determine i(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 110241234?\nAnswer: -110241241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-25))**20\/(c\/c**(-32))**(-49) assuming c is positive.\nAnswer: c**1117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 45 = 4*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 15. Let i(b) = 4*b**2 + b. Let x be i(-1). Suppose 2*u = x*u - 6. Calculate the greatest common divisor of u and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5035.7281 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7543896.\nAnswer: 2, 3, 314329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1 - 3 + 11 + q. Suppose -5*x - 28 = 3*s, s = -x + 4*x. Let h be a(s). Which is smaller: 3\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37000455 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*g*q**3 - 124*g*q**2 + g*q - 4*g - 813 wrt q?\nAnswer: -66*g*q**2 - 248*g*q + g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768548 is divided by 1040.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -1\/6*i**3 + 0*i**4 + 0 + 1\/60*i**5 + 13\/24*i**6 + 0*i + 7*i**2. Is v(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from scpecdppsppsccpcc?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 9. Suppose -4 = f + 2. Calculate the remainder when 40*(24\/15)\/4 is divided by v(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 22 - (0 - 1 - -8) - 40?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3079*h + 30783. What is z(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqpn when four letters picked without replacement from {q: 3, p: 1, n: 1, j: 1, x: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -840.000000683 - -840. Round n to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.182, 4, 204.\nAnswer: -0.182, 4, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5. Let k be 6 + 1 + (c - -3). Let t = -8 + k. Solve 0 = -2*b - 2*h + 8, 5*b + 2*h = 3*h + t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22\/101499 - -6509435851\/2232978. Let d = 2916 - s. Find the common denominator of -91\/46 and d.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*y + 14, 2*n + 0*y + 3*y - 21 = 0. Let j be 16\/n - (-8)\/36. Suppose -5*m - t = -0*t + j, 0 = 3*m - 5*t - 10. Solve m = -0*w - 2*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -218.1?\nAnswer: 436.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119? (a) 12 (b) -2\/7 (c) -5 (d) 0.8 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-2)\/((-60)\/(-738)). Let c = o + -121. Solve c*v - 4*x = 10, 5*x + 12 = -v + 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -28490947?\nAnswer: -28490952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1774068.\nAnswer: 2, 3, 19, 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -367119, -367114, -367109, -367104?\n\"Answer: 5*f - 367124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6)*(-32)\/(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**3 + 273*r**2\/2 - 1992*r + 9601. Determine l, given that s(l) = 0.\nAnswer: 8, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -47, -102, -187, -308?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-7)*r**(2\/15)*r*(r*r\/r**(2\/15))\/(r**(2\/3)\/r))**(-3\/10) assuming r is positive.\nAnswer: r**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.226 + -0.126. Sort -0.04, -5, -2, a in descending order.\nAnswer: a, -0.04, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1132253306 and 590.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 - -1.8. Let t = 2.91 + -7.91. Let x = -5 - -2. Which is the nearest to f? (a) x (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 8*k - 2. Let l be v(6). Let m = l - -23. Suppose -r + 14 = -t + 5*t, r + 2 = 0. What is the smallest common multiple of m and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - 2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**6 - 16*h**5 - 463*h**4\/6 - 104*h**3 - 140*h**2\/3 + 1739. Determine t so that r(t) = 0.\nAnswer: -7, -5, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -221*b**4 - 3*b**3 + 84*b. Let c(w) = 442*w**4 + 5*w**3 - 171*w. Let f(r) = -3*c(r) - 5*m(r). Find the second derivative of f(z) wrt z.\nAnswer: -2652*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -2*4\/16. Which is the smallest value? (a) z (b) 0 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 6:26 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83 - 85 - 6*d**3 + 0*d**3 + (3*d**2 + 2*d**2 - 3*d**2)*(-4*d + 0*d + 2*d) - 2*d**3 + 0*d**2 + 0*d**2 + 2*d**3 - 2*d**3 + d**3.\nAnswer: -11*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -39.5 (b) 1\/5 (c) 0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41 + -3b?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-6 - -5) + -10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 0, -5*f + 15*d + 45380 = 11*d. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-1 + (-32)\/(-24))*3\/30.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.5 - -1.5. Let s = m - 11.3. What is the nearest to 2\/3 in s, -2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 22, 2 in decreasing order.\nAnswer: 22, 5, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 8 = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3130 + -3132. Put 68, 0, f, 5 in decreasing order.\nAnswer: 68, 5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4659*k**2 + 4771*k**2 - 681*k**2 + 8780*k**2 - 972*k**2.\nAnswer: 16557*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10275411.921 less than -0.04064?\nAnswer: -10275411.96164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2616338, -2616410, -2616482, -2616554, -2616626, -2616698?\nAnswer: -2616770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(-1*sqrt(252)))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949 smaller than 4902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**3 - 10*h**2 - 5*h - 3. What is the units digit of n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -34. Solve 4*m + 4*s - 2 = f, -m + 5*s = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 1 (b) -2 (c) 1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 1268.2151\nAnswer: -50.728604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.87 - 0.23. Let w = 15 + r. Which is the biggest value? (a) 4 (b) w (c) -2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-37\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3181*a - 13*a**2 + 3181*a.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*27\/(-6). Let u(c) = 24 + 41 - 14*c + 134*c**2 - 133*c**2 - 22. Let n be u(6). Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/4 + 12\/16. Solve -2 = -f + 4*b - 21, 0 = z*f + b - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1641, -1642, -1643, -1644?\n\"Answer: -d - 1640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202006 and 259.\nAnswer: 7474222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 34 = -2*g + 12, -3*d - 58 = 4*g. Let v be -2 - -2*(-3 - g). Suppose 4*y - 2*u = v, -5*y - 3*u = -46 + 16. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0247151229 to five dps.\nAnswer: 0.02472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -4*s - 37 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -586514 (base 9) to base 12\nAnswer: -150011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*w, w - 24 = -7*r + 3*r. Let g(f) = -3*f. Let s be g(7). Let y = -10 - s. Solve n - 13 = -r*a, -2*n - y = -5*n - a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = 3*c + 46, -101 = -4*d + c. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1 (b) -1\/18 (c) -6\/13 (d) 0.3 (e) -1\/40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 7\/4 (c) 2\/3 (d) -6\/7 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -16*j**2 + j - 321 + 312 + 11*j**2 + 9*j**2. Let b(k) = -3*k**2 - k + 9. Give 3*b(s) + 2*q(s).\nAnswer: -s**2 - s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 4*u**2 - 9*u - 4. Let k be g(6). Find the first derivative of h - 43*h**2 - 515 - h + k wrt h.\nAnswer: -86*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**3*j)\/j*j)\/(j\/(j**(1\/7)*j)))**(-3\/10) assuming j is positive.\nAnswer: j**(9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(57)\/sqrt(3))**2 - sqrt(38)\/sqrt(2)*2.\nAnswer: -19 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*g**3 + 79*g**3 + 73*g**3 - 238*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*w - 0*w, -w + c - 14 = 0. Let g(j) = -9 - 3 + 579*j + 2. Let q be g(w). What is q rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -287806947.5 to the nearest 100000.\nAnswer: -287800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 48136*z**2 + 144356*z - 192496.\nAnswer: 4*(z - 1)*(z + 4)*(z + 12031)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = -2*y, 0 = -2*y - 10*t + 5*t + 20. Suppose 0 = 3*z - y*z + 12. Let b(j) = -4 - 3 + 3 - j. Determine b(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 135 = -117. Factor -4*x**3 + 24*x + 2*x**4 + w*x**3 + 50*x**2 + 9*x**3 + 14*x**3.\nAnswer: 2*x*(x + 1)**2*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 8:43 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3 = u - 8, -2*u + 2*z + 10 = 0. Suppose -10*s = u*s - 1770. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 26. Which is smaller: j or -14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.38. Is -0.1 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**4 + 139060*k**3 + 4397630*k?\nAnswer: 72*k**2 + 834360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9703356 and 48.\nAnswer: 38813424","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/3 - 64\/3*p**2 - 2\/3*p + 2\/3*p**3.\nAnswer: 2*(p - 32)*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 346*l**7\/7 - 2*l**3\/3 + 47*l**2 + 1171. What is the third derivative of u(n) wrt n?\nAnswer: 41520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21266 or -106324\/5?\nAnswer: -106324\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -53. Let z = 2 - 10. Calculate the common denominator of 149\/12 and f\/8 + 6 + z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 3:27 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/30 - p**4\/2 - 4*p**3\/3 - 4*p**2. Find n such that l(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 487223 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362 by 6674.\nAnswer: -181\/3337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.172 take away -27?\nAnswer: 27.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (9\/15)\/((-1)\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 245, 239, 235, 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h**2 + h - 1. Let k(v) = -6*v**2 - 4*v + 4. Let c(q) = -k(q) - 4*t(q). Find the third derivative of c(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12410273 + -42?\nAnswer: -12410335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1132, 1035, 850, 559, 144?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 171*g**2 + 81*g - 482. Determine q(-86).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**2 + 37. Let w(l) = -29*l. Give a(w(c)).\nAnswer: 58*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1460 by -6.\nAnswer: 730\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyamyymmmmaammmmm. What is prob of picking 1 u, 1 y, and 1 a?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2468*(14\/49)\/((-558)\/(-273) + -2).\nAnswer: 2, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-26 + 22 - 24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7348 and 185532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 0.6. Let p(m) = m**3 + 6*m**2 - 7*m + 3. Let n be p(-7). Which is the second biggest value? (a) n (b) i (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.30000126. Round o to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + -3) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zepz when four letters picked without replacement from {e: 12, z: 5, p: 2}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -499 + 472. Is x equal to 2.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*a. Suppose 3*r = 3*w + 12, 4 = 2*r + w + 2. Suppose -r*c - 3*f + 18 = 0, 2*f = -c - a*f + 11. Let v(n) = n**3 - 4*n**2 + 4. Calculate v(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 9*v**2 - 13)*(v**3 - 3*v**3 + 0*v**3) + 3 - 3 - 2*v**5 - v**4.\nAnswer: -20*v**5 - v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.08 - -7.08. Let g = -2 + 1.8. Let m = 0.3 - g. Which is the closest to -2? (a) t (b) 1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 4322343415?\nAnswer: 4322343415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 7*z**2 + 8*z + 9. Is i(8) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 25*o**2 - 1 - 9 wrt o?\nAnswer: 50*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 130 + -3 + -3 + 4. Suppose l - 2*l - 19 = -c, c - 25 = 3*l. What is the highest common divisor of i and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 4. Let m = 29 - 35. What is l(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 259565739 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3334*n**4 + 3310*n**4 - 6638*n**4 - 81*n**3 + 2*n - 775 wrt n.\nAnswer: 72*n**2 - 486*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 0*b**2 - 14408302*b**3 + 498 - 2*b**2 + 14408304*b**3 to the form f + j*b**3 + p*b**2 + y*b and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 486638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 1, -2, -7, -14, -23, -34?\n\"Answer: -h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {x: 1, t: 2, y: 5, f: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44523 is divided by 2968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 10*b + 15*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -1666, 4, 2.\nAnswer: -1666, -8, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -18. Let o = s - 3. Let j(w) = -w**3 + 4*w**2. Let h(b) = b**3 - 8*b**2. Let p(g) = o*j(g) + 2*h(g). Find the third derivative of p(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 54*d - 33*d - 81 = 0, -3*h - 5*d - 29 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 9*d = 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -256, -2, 38 in increasing order.\nAnswer: -256, -2, -1, 0, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 243198635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r = 13*r - 65 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 12:12 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tult when four letters picked without replacement from ttttutuattttluuttaa?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387, -1555, -3499, -6219, -9715, -13987?\nAnswer: -19035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43072, 172281, 387636, 689143, 1076808, 1550637?\n\"Answer: j**3 + 43067*j**2 + j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/847 (b) -1\/6 (c) 1\/4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 59. Suppose 4*c + c = 30. Solve g = -c*m + 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20232 and 1792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266885979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3388 - 2*g - 3250 + 1580 + g - 3684 to r*g + z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/5 + 2*l**3\/5 + 2*l**2 + 6*l\/5.\nAnswer: -2*l*(l - 3)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3, -27*w + 29*w - 414 = -4*r. Suppose 284 - r = 2*x - 5*u, -2*x + 2*u = -188. Calculate the remainder when 279 is divided by x.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115303002 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from -453567372.2.\nAnswer: -453567363.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11986397 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 10) in base 14?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**3\/6 - 2*i**2 - 2*i. Let h be o(-4). Let v be (2 - (-1 + 1)) + 0. Solve h + v = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, r: 7, p: 4}. What is prob of sequence rw?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -0.7. Let r = 0.4 - b. Which is greater: -6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/9))\/(j**(-3)*j))**(2\/15))**(-11\/5) assuming j is positive.\nAnswer: j**(-638\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeaaehbbbbabwbbbwa. Give prob of sequence hb.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.03, 4, -0.6.\nAnswer: -0.6, 0.03, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 30*o = 35, 4*o = 3*n - 3434. Calculate the greatest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3793818 and -609.819?\nAnswer: 3794427.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3211226 - -13?\nAnswer: -3211213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -y - 0*y. Suppose -y*k - 4*q = -14, 0 = -5*k - 2*q + 20 + 8. Suppose 0 = -m + 3*m - k. Solve 0*a + 11 = -a - 5*i, 0 = m*a - 3*i - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1555007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12646983?\nAnswer: 3, 41, 229, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -32*u**4 + 39*u**2. Let l(d) = -d**4 + d**2. Let r(b) = -2*a(b) + 18*l(b). Find the third derivative of r(k) wrt k.\nAnswer: 1104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20 - 0 - 0)*1. Let t(m) = m. Calculate the remainder when (-8)\/v - (-144)\/10 is divided by t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -30. Let f = 23 + -79. Let r = f + 64. Solve -2*h - r = a*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-27) + (-10)\/69. Is f smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/9)\/(-2)*(-261)\/(-174).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3303359?\nAnswer: 19, 173861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111282573 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 12 = 5*q - 5, 5*q + 2*h - 26 = 0. Suppose -3*g + 70 = -q*o, -2*g + 14 = -o - 3*g. Let m be 11\/52 - 4\/o. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 6*s - 4. Let y be r(5). Let f = y - 4. Which is the third biggest value? (a) 3\/2 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - 2 - -2 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 - 1 = 0. Let m = d + -24. Let w = m + 40. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 4*d**2 + 2*d + 1. Let s be p(-3). Suppose 0 = s*b + h - 7, 5*b = -2*h - 0 + 8. Factor 0*a**b + 3*a**2 - a**2 + 2*a**3 - 2 - 2*a.\nAnswer: 2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 5, 2714, 18 in descending order.\nAnswer: 2714, 18, 5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(500) + sqrt(7) - (sqrt(70)*-4 + sqrt(70) - sqrt(70))\/sqrt(10))**2 + (-4 + sqrt(7)*-3*-2)**2 + -5.\nAnswer: -48*sqrt(7) + 44507\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 26*b + 1. Let j be q(18). Let s(n) = 17*n**3 - n**2 + 2. Let i be s(-2). Let f = i - j. Solve t + 3 = -3*v, -f*t + v - 5 = 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4271685 and 3.\nAnswer: -12815055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -858.15481 + 858.2. Round h to three dps.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5811900.\nAnswer: 2, 3, 5, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23334571, 23334575, 23334579?\n\"Answer: 4*p + 23334567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpg when three letters picked without replacement from gpkgpkggppgpggkpd?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364834.\nAnswer: 2, 682417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -194, -195, -204, -227, -270, -339, -440?\n\"Answer: -b**3 + 2*b**2 - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*k + 33. Put -2, k, 12, 6 in decreasing order.\nAnswer: 12, 6, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**3 - 3*x**3 + 2*x**3.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 1, 3\/8, 1\/6, 25606?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 23 - 3. Let g(c) = -c**2 + 3*c. Let x be g(3). Suppose 0 = 4*t - x*t - v. Solve 0 = -t*k - 24 + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/137264 and -35\/20976.\nAnswer: 7824048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 0*q**2 - 3*q**4 + (14*q + 11 - 11)*(-5*q**3 - 2*q**3 - 2*q**3).\nAnswer: -129*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3178.8 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {v: 11, r: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 p, and 1 s when three letters picked without replacement from {d: 3, p: 1, s: 1, h: 2, c: 1, g: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*3*-6 - sqrt(152) - sqrt(152))\/(sqrt(392)*3))**2.\nAnswer: 7600\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**4 + 20*o**4 - 10*o**4)*(0 + 0 + 2)*(18*o - 3*o + 3*o) + 0*o**5 - 2*o**5 + 3*o**5 - 3*o**5 + 2*o**5 - 3*o**5.\nAnswer: 177*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 81*v**2 + 8*v**3 - 81*v**2.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 1242*x - 998*x - 253 = 0, 13 = 3*w + 3*x + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32314267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + k - 874 + 634 = 0, -3*f - k - 2*k - 144 = 0 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, x: 3}. Give prob of sequence ex.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4\/4 + 10*g**3 + 14*g**2 - 34*g + 61. Let r be d(-29). Let c(j) = -j**2 - 5*j - 2. Calculate c(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 53*r**2 - 54*r**2 + 0*r - 5 + 5*r. What is l(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24065676 divided by 51.\nAnswer: 471876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2. Let u(w) = 29704*w**2. What is s(u(k))?\nAnswer: -1764655232*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14685*c**3 - 91545*c**3 + c - 35051*c**3 + 23*c.\nAnswer: -141281*c**3 + 24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3369 - 2*z**2 + 4992 - 3621 + 2*z**4 to the form s + k*z + g*z**4 + a*z**2 + m*z**3 and give s.\nAnswer: -1998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -0.0469986?\nAnswer: 2.0469986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 780?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(0 + sqrt(684) + 3 + 0)*5 + -1)**2.\nAnswer: 14640*sqrt(19) + 277323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (-3107)\/5 - (-2)\/(-5). Suppose -3*m + 9*f - 10*f = -o, 0 = 4*f - 20. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -325, -1105, -2429, -4303, -6733?\n\"Answer: -s**3 - 266*s**2 + 25*s - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 6\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h - 33. Determine x(14).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*c**3*i**4 + 7*c**3*i**2 - 2*c**2*i**2 + 20*c**2 - 85*i**4 - 1 wrt i.\nAnswer: -1512*c**3*i - 2040*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13949784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*h - 39*h, 4*b + 4 = h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*t**2 - 46 + 46 + (-t**2 + 2 - 2 + (-3*t + 2*t + 2*t)*(4*t - t - t))*(-1 + 1 + 2).\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7945?\nAnswer: 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*v, -4*v + 5 + 1 = 2*h. Let m = 942.1922 + -0.1922. Let u = m + -921. What is the second smallest value in v, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s + 18. Let i be l(-6). Suppose 4 = -8*y + 4*y. Let q be (-36)\/i*y\/(-3). Which is the closest to -2\/5? (a) 2\/5 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 599*l**3 + 3 - 5 - 589*l**3 - 22*l - 21*l to the form f + c*l + u*l**2 + b*l**3 and give c.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295 and 5363395.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ioohuoholuiihomhuuo. What is prob of picking 1 l and 2 i?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140679.\nAnswer: 3, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 - 64*x\/7 - 431938\/7.\nAnswer: 2*(x - 481)*(x + 449)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -6, 5?\n\"Answer: 11*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -13. Suppose -i*c = -31*c - 40. Let b be (10\/8)\/(2\/8). Put -3, -5, b, c in descending order.\nAnswer: b, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. What is the units digit of (2 - n) + 5 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*m = -270, 0 = 3*t + 2*t - 3*m - 1406. Calculate the highest common divisor of t and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4 + 18 - 17 + 14*x**2. Let q be g(2). Suppose 3*l = 5*k + q, -5*l + 4*k + 69 + 28 = 0. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -358*a - 92. List the prime factors of m(-10).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*k - 4, 0 = 3*d - 8*d + 4*k - 28. Sort 2, 4, -6, d in decreasing order.\nAnswer: 4, 2, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 470*s**2 - 466*s - 2?\nAnswer: 940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from rrrrrrfrfr.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14566.\nAnswer: 2, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 4*m - 4. Calculate i(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(0 + 0 - 2)*(49*b - 104*b + 39*b).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(24)\/sqrt(6)) - sqrt(45)*1.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 11*r**2 + 10 + 13*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 29*n**2 + 72*n + 3. Let z(d) = -82*d**2 - 217*d - 9. Determine 17*g(s) + 6*z(s).\nAnswer: s**2 - 78*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46401840 by 180.\nAnswer: -257788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u + 4. Let i(s) = -3*s + 2. Give 11*i(n) - 6*y(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-60)\/9 + -1)*-3. Let l = r + -6. Let x(k) = 13*k**2 + 7*k**2 - l*k**2. Let p(g) = 4*g**2. Determine p(x(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 351 = -5*r + 37, 5*g + 239 = 3*r. What is the remainder when r is divided by 3\/((2\/1)\/18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen sixths of a week?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29632965 and 0.04.\nAnswer: -1185318.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 8:35 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(1 + sqrt(1584) + sqrt(1584) + 3)*-5)**2.\nAnswer: 43200*sqrt(11) + 1429200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/2 + 15*a**3\/2 + 2*a**2 - 210*a + 200.\nAnswer: (a - 4)*(a - 1)*(a + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 5*q**2 + 3*q + 4. What is r(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -40*m + 3467. What is o(75)?\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(504) + sqrt(504)*-2))\/sqrt(9))\/(sqrt(24)\/sqrt(675)).\nAnswer: 75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 170 + -96. Let g = y + -53. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 1009967.9338?\nAnswer: -1009959.9338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5569679 hours in days?\nAnswer: 0.0648736625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(60)\/(sqrt(48)\/sqrt(4) + sqrt(12))))\/(sqrt(21)\/sqrt(27)*2).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525045.\nAnswer: 3, 5, 17, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1071\/196 + 4\/14 and -61\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 64*u**3 + 3*u**2 - 2*u. Let z be f(1). Suppose -6*t + 55 = -z. Solve 8*h - 3*h = -t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*y + n, 30 = 4*y - 5*n - 20. Let u = 2 - y. What is the units digit of (-3)\/((u\/(-4))\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/20 and ((-2)\/(1250\/(-355)))\/(154\/(-55)).\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/13)\/(8673\/(-1911) - -9)\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 0, -25*n + 5*t + 7 = -49*n + 23*n. Let s(l) = -2*l - 2*l - 3*l + 2*l**2. Let q(b) = -b**2 + 5*b. Give n*q(u) - 5*s(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -1\/3, 1\/3, 3, -1\/6 in increasing order.\nAnswer: -1\/3, -1\/6, 0.08, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8923\/4, -2\/15, 0.4, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262821985 to the power of 1\/3, to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1791, -2466, -3139, -3810, -4479, -5146, -5811?\nAnswer: -6474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 4. Let c be x(-4). Suppose c = j + 4*j. Is 5\/2*(14 - j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 7:44 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q\/q**(3\/4))\/q*q))\/(q*q**(4\/11)\/q))**(-34) assuming q is positive.\nAnswer: q**(459\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 + 1166*h + 378. Calculate l(-194).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {g: 3, v: 1, b: 1, h: 5}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24122 + 24118.0086. Let q = 7 - 3. Let t = q + r. What is t rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*-15*6\/(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3, -v - 11*m + 8*m + 530 = 0. List the prime factors of v.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 18*w + 226. Calculate n(26).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -0*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -10 + 6 + 1 + -14 + -7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9619, -9569, -9489, -9379?\n\"Answer: 15*t**2 + 5*t - 9639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - -5151?\nAnswer: 5122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((6\/(-8))\/((-39)\/26)). Let y = 249\/508 - -5\/508. Put 0.1, x, y, 3 in descending order.\nAnswer: 3, y, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12320*b**4 + 105540*b**3 - 47505*b**2 + 4985*b - 90 = 0 for b.\nAnswer: -9, 1\/44, 1\/8, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*1*(23 + -23). Let j(n) be the second derivative of 1\/12*n**4 + 0*n**3 + m*n**2 - n + 0. Let x(h) = -6*h**2. Determine x(j(i)).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2128*19)\/((-4)\/(-24))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(2\/29))**50 assuming t is positive.\nAnswer: t**(2800\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 8*r**2 + r + 18. Let o be c(9). Is (-430962)\/o - 1*(-4)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37836046?\nAnswer: 2, 73, 259151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nymysdv. Give prob of sequence yd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2824 - -4031. Is r a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300.368939 rounded to zero dps?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2. Let i(a) be the first derivative of a**3 - 9. Give l(i(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(-11581*d**2 + 2 - 2 + 11252*d**2) in the form j*d + k*d**2 + w and give k.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 15*k**2 + 4*k + 36. Calculate g(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 4. Let x be 18\/2*1\/3. Suppose g - x*o + 11 = 0, 2 = -g - 4*o + 5. Let b be u(g). What is the highest common factor of 56 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 41 + 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5073 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*1*5)\/(sqrt(6) + (sqrt(72)\/sqrt(3))\/sqrt(4)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 386664500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(78) + sqrt(78)*-1)*-6*4)\/((sqrt(486)*3*-5 + sqrt(486))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21725152 divided by -1072?\nAnswer: 20266","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 541652623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5419, -21632, -48653, -86482, -135119, -194564, -264817?\nAnswer: -345878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7137 divided by 39?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(27\/6) - -7. Let r(g) = 3*g**2 + g. Let p(f) = -3*f**2 - 2*f. Let v(m) = a*p(m) + 4*r(m). Factor v(l).\nAnswer: -3*l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 866118 by 242.\nAnswer: 3579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3552 is divided by 1563?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*n + 4, 2*z + 3*n + 19 = 7*z. Let p = -5 + z. Let o = -3.946 - 0.054. Which is the third smallest value? (a) 0 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.1, 4, -0.08 in descending order.\nAnswer: 4, 0.4, 0.1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 16 + 0*g + 1\/3*g**3 + 0*g**2. Let q(p) = 2*p**2 + 4*p**2 - 3*p**2. Determine u(q(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 divided by -3?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 2. Let g(y) = y**3 + 8*y**2 + 10*y + 6. Calculate the least common multiple of 8 and g(r).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93665 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 237 + 282 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6.93. Let v = -706.93 - -710. Let k = y - v. What is the third biggest value in 5, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 18*r**2 - 267*r - 3. Determine w(12).\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.6 + 4.6. Let y = j - -34.1. Sort y, -0.4, -4\/7 in increasing order.\nAnswer: -4\/7, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 2*c**2 - 66*c - 9. Determine r(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y - 41*y + 19*y + 10*y + 2*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*w - 3*i - 6, -3*w - i = 4. Suppose w*h + 5 = h. Sort 1, h, 4.\nAnswer: 1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1)\/82 - 0. Let j = -167\/246 - q. Let u be (-248)\/(-279) - 806\/279. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 531 and 1970187?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 5. Suppose -25 = -4*l + t, h*l + 2*t + 0*t = 41. Suppose 12 = -3*n + l*n. Solve 5*a + 3*b + 11 = 0, 0 = -n*a + a - 2*b - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5078*p**2 + 3*p - 33. Let u(a) = 86006087*a**2 + 50810*a - 558910. Determine -50810*j(z) + 3*u(z).\nAnswer: 5081*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2. Let v(b) be the second derivative of -3*b**2\/2 + b. Let g(d) = -d - 4. Let y(s) = -3*g(s) + 4*v(s). Determine t(y(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 - 113. Let h = 2213 - 1580. Let l be (1893\/h - (2 - 2)) + -3. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12431? (a) 5 (b) -12 (c) -0.1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -781 - 869. What is the common denominator of 243\/20 + 2\/(-5) and 4\/6 - m\/252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 4*u - 4*u)*(u - u + 5*u**2)*(5 - 5 - 7*u)*(-3 + 4 - 2) to the form w + v*u**4 + z*u**3 + h*u + n*u**2 and give v.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/7 or 14.127?\nAnswer: 14.127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327\/5 smaller than 264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + (sqrt(196)*-2)\/sqrt(4))\/(sqrt(567)*-1).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8 = -d. Suppose 10 = 4*b - 6, 4*z - d*b = 0. Find the second derivative of z*h + 2*h**2 + 0*h - 4*h wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -2*j**2 - 21*j - 14. Let a(y) = -y - 5. Determine -26*a(x) + 6*k(x).\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 29\/2, 7, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 + 3)*(-4*r + 4*r + 2*r).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 123.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + 43?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 8. Determine c(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/13 - 4356\/429.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 144673523.9 to the nearest 1000000.\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -12, -2, 4, 14 in ascending order.\nAnswer: -12, -10, -4, -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i**3*y + 225*i**3 + 12*y wrt y?\nAnswer: 4*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183713.34 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 - 6*u**2 - 12*u + 4. Let c(n) = 4*n**3 - 5*n**2 - 13*n + 4. Let b(j) = 4*c(j) - 5*r(j). Let p be b(-9). Sort -4, -12, p.\nAnswer: -12, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -546054, -1092047, -1638040, -2184033?\nAnswer: -2730026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let t(a) = -4 - y*a + 0*a + a**2 + 6 - 3. Calculate t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by -7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 74*v**8\/7 + 346*v**4\/3 - 69*v - 13. What is the third derivative of o(u) wrt u?\nAnswer: 71040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - r = 2*n - 12, 4*n - 22 = -r. Suppose -n*p + 2*v + 9901 = 0, 4*p - 5*v + 2668 = 10582. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295098.8 rounded to the nearest one thousand?\nAnswer: -295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -f - 3*l, 45 = 3*f + 4*l - l. What is the lowest common multiple of 22 and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 280 by 782.\nAnswer: 140\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 4:27 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(637)*2 - (sqrt(208) + -5)*-2 - (-1 + 5 + -6*(sqrt(13) - sqrt(104)\/sqrt(72) - sqrt(13))).\nAnswer: -14 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 1. Let h(q) = q**2 + 5*q + 23. Let v(s) = -6*s**2 + 119*s + 146. Let o be v(21). Determine o*h(x) + 6*g(x).\nAnswer: -x**2 + x - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1883, 3823, 5765, 7709, 9655, 11603?\nAnswer: 13553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 11*n + 9. Let h = 307 - 311. Let b be i(h). Let c(p) = -6*p**3 - p**2 - 3*p. Let a(z) = -5*z**3 - z**2 - 2*z. Give b*a(q) - 4*c(q).\nAnswer: -q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11624 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.22 - -0.22. Let p = -156 - -166.5. Let v = x + p. What is the third smallest value in v, 3, 5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -238 + -211?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 - (-1 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 7:18 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41078407187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - s - 18 - 11)*(-s**3 + 2*s - 2*s) + (2*s**4 - 3*s**4 - s**4)*(0 - 1 - 1) + 3*s**4 - 3*s**4 + 4*s**4.\nAnswer: 9*s**4 + 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**7\/63 + a**6\/15 - 2*a**4\/9 - 19*a. Determine n so that p(n) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*p - 6*p**3 - 7*p)*((-2*p - 5*p + 6*p)*(-1 - 3 + 6) - p + p + 4*p) to l*p**2 + x*p + k + y*p**3 + o*p**4 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 - 7*g**4 + 13*g + 22*g**2 - 15*g + 3*g**4 - g**4 + 3*g**3 in the form k*g**3 + w*g + o*g**4 + b*g**2 + m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 + 6*c**2 + 26*c**2.\nAnswer: 41*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmslkellnllsll. Give prob of sequence nsl.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 15*o = 36. What is the highest common factor of 18 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 270761\/18 - 15046. Calculate the common denominator of c and -7\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9720 and 15228?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 15 = -v, -3*a = -v - 15. Suppose -4*r = -2*q + 3*q - 41, v = -r - q + 8. What is the remainder when 23 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) - 90\/(-24). Let c be v*(-2)\/6*-3. Suppose -z + 50 = c*z. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 21 = 19. Let d = -79.5 - -80. Which is the closest to -1? (a) i (b) -0.05 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 3*6\/(-9). Let o be 0\/(-1) + (-4 - s). What is the third smallest value in 1\/4, -0.2, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4142 - 4094. What is the greatest common factor of 376 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20*91\/196 + -9 - 2\/7. Solve -5*r - m + 7 = f, -2*m = r - m + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a - 4. Suppose -52*f + 38*f + 28 = 0. What is v(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91, -356, -797, -1414, -2207, -3176, -4321?\n\"Answer: -88*w**2 - w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1.04 (b) 18 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/8 - 319*o**2\/8 + 3458*o - 43320.\nAnswer: (o - 152)**2*(o - 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 356\/302037 or 0?\nAnswer: 356\/302037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -33*u - 36. Let n(s) = -2*s - 1. Let p(j) = 2*n(j) - 2*q(j). What is the units digit of p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/7 - 5270*s**3\/7 - 78696*s**2\/7 - 251392*s\/7 + 335360\/7 = 0. Calculate s.\nAnswer: -2620, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6010161366 and -278.\nAnswer: 6010161088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52\/(-10) - (-143 - -138). What is the fourth biggest value in 3, 0.13, 52, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/4 - 8*s**3\/3 + 7*s**2\/2 + 3*s + 9. Let y be d(6). Is (-630)\/y - (-2)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2024 and 10736.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324498700.\nAnswer: 2, 5, 31, 104677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80880232 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 1ab?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -31, -43, -59, -79, -103, -131?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c**4 + 5400 - 2*c**3 - c**2 + 5*c**2 - 5399 - 3*c**3 to a*c**2 + r*c + u*c**4 + l*c**3 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 - 2 = 0, -x - 3*z = 3. Suppose 5*j = -x + 59. Suppose -j = u - 11. Is 1 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*2)\/(64\/(-48)). Suppose -8*g + 3*g + 15 = 0, -u - w*g + 9 = 0. Let y = -24 + 19. Is u at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12907 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6486, -6858, -7472, -8322, -9402, -10706?\nAnswer: -12228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.66*0.12.\nAnswer: -0.6792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -350 - -4?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - -21. Let d = i + -74. Let t(b) = -8*b + 7. Let m(y) = -7*y + 6. Give d*t(w) + 6*m(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7805*o**3*q**2 - 401*o**3*q - 9*o**2*q**2 + 28*o**2*q - o*q**2 + 2*o - 3932 wrt o.\nAnswer: 46830*q**2 - 2406*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -51. Let m be 1 - 2\/(12\/30). What is the remainder when m\/(-22) + (-1974)\/(-33) is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38047 minus 23214.116?\nAnswer: 14832.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60076624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 98\/12 - 449\/2694.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 (base 15) in base 6?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -686937654, -1373875305, -2060812956, -2747750607?\n\"Answer: -686937651*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 330 + -2?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15130, -15129, -15130, -15133, -15138, -15145?\nAnswer: -15154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 703552, 703558, 703568, 703582, 703600?\n\"Answer: 2*c**2 + 703550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -749 - -2221. Does 38 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 + 4)*57\/(-3) - 1 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11686253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.151*2\nAnswer: 0.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -480, -5, 2, 3, -444 in ascending order.\nAnswer: -480, -444, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a. Let v(z) be the first derivative of 0*z**2 + 4\/3*z**3 - 24 + 0*z. Calculate f(v(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 4 = -2*u, 0 = q + 4*u + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 95425 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 239\/5, 11, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iooisohdsosd. What is prob of sequence idi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 2\/(-1))\/((-21)\/(-42)). Let h(q) = -q**2 - 19*q - 11. List the prime factors of h(z).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2493, -4998, -7503, -10008?\n\"Answer: -2505*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(-2)*o)*o**(2\/27)*o**(1\/4)\/o**(6\/7) assuming o is positive.\nAnswer: o**(353\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:23 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 4*r**3\/3 + 3. Let c(g) = 48 - 48 + 2*g + g. Determine c(o(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 - (-43)\/((-3870)\/(-40968)). What is the greatest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = y + 3*g + 9, -4*y = -3*g - 27. Let o = -6 + y. Let i be 4\/(-16)*6*1. What is the closest to -1\/2 in i, o, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43802 - -43801.5. Let z = -9 + 13. What is the nearest to 0.2 in g, -1\/4, z, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 0*z**2 - 1\/28*z**8 + 0 + 0*z**3 - 20*z + 49\/6*z**4 - 1\/30*z**6 + 0*z**5 + 0*z**7. Find the third derivative of i(v) wrt v.\nAnswer: -240*v**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 3*g**2 + 4*g**2. Let b = -21 + 25. Let i(q) = q + q - b*q. Give i(d(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25539412?\nAnswer: 2, 31, 205963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - f + 6 = 0, -3*j + 3*f = j - 22. Suppose -3*n + j = n. Let x be 46\/2 - 6*n\/2. Solve 4*y + x = -0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*j + 13, -b - 10238*j + 20469*j = 10236*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 361829523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -3*y**4\/4 + y**3\/3 + 41*y**2. Let o(w) be the first derivative of -w**2\/2 - 2. Give o(n(q)).\nAnswer: 18*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-45) + (-2)\/15. Let c be (b\/1)\/(0\/6 + -1). Suppose -6*n + 164 = -4*n + 3*y, -y = c. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4))\/(k\/k**(-2\/21)))**(-45)\/(k**(-3)\/(((k\/k**(-3\/10))\/k)\/k))**23 assuming k is positive.\nAnswer: k**(-8597\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 0 - -3 - -1. What is the first derivative of 3 - 19 - 4*a**g - 9 wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415 = 95*n - 725 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 981722582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Let j be w(1). Let g = 0 + j. Suppose g = 3*k + 4*b - 2 - 75, -5*k + 167 = -3*b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 1790, 5449, 12530, 24179, 41542?\nAnswer: 65765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40127 != -1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132971 or 132965?\nAnswer: 132971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131373185?\nAnswer: 5, 26274637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*2)\/sqrt(6) - (-2 + 3*sqrt(3)) - (-2 + (sqrt(75) - (sqrt(75) + (sqrt(75) + -1)**2)) + ((sqrt(75) + 1)**2*3 - sqrt(75))).\nAnswer: -148 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220083899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -288689, -577972, -867255, -1156538?\n\"Answer: -289283*q + 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.3, -1105, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -81.2 and 375.049163?\nAnswer: 456.249163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + 12311121232?\nAnswer: 12311121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1316 and 144.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 1\/108 (c) 2\/5 (d) 38 (e) -0.4 (f) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 + -605\/3. Suppose 8 = 4*r - 0*r. Factor -8\/3*n**r - y*n - 4\/3 - 2\/3*n**3.\nAnswer: -2*(n + 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7500*v**4 + 173*v - 16 wrt v?\nAnswer: -90000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6778 + 3\nAnswer: 6781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157 (base 9) to base 6.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**2 + 2*o - 4. Let s be u(2). Suppose -1097*z + 1108*z - 44 = 0. Put s, z, 3, 7 in descending order.\nAnswer: 7, z, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -2) + 2 - 0. Let f(r) be the first derivative of -7*r**2\/2 - 6*r - 2. Let c(z) = -z - 1. Let k(w) = v*c(w) - f(w). Let d(u) = -2*u. Give d(k(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3852831 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4917228 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181120124.\nAnswer: 2, 3, 98426677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -65660?\nAnswer: 65665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43507579 a multiple of 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 5*a + 8. Let j(u) = -u**2 + 14*u + 67. Let k be j(-4). Let g(l) = -7 - 3*l - 3*l + 2*l**2 + 2*l. What is k*f(i) - 6*g(i)?\nAnswer: -2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + b + 86. Let l be g(0). Suppose 80*u - 654 = l*u. Which is smaller: u or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (1 - 1)) + 118 + -116.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.71 to 2 dps.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5294, -9288, -15948, -25274, -37266, -51924?\nAnswer: -69248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*i = 0, -2*o + 4*o - i = 6. Let j = -219\/7 + 31. Which is the second biggest value? (a) o (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 74 = -1404. Let t = 271 + r. What is the fourth biggest value in t, 0, 1\/2, 1\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 113*f - 72*f + 14 + 20 - 18 - f**3 as x*f**3 + j + z*f + p*f**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**3 + 11*i + 58. Let p(u) = -2*u**3 - 4*u - 19. Give -4*f(r) - 11*p(r).\nAnswer: -2*r**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1208 and -43\/48.\nAnswer: 7248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.29, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(833) + -1) - (sqrt(833) + sqrt(833) + (sqrt(833) - (sqrt(833) + 1 - sqrt(833))) + 4))**2.\nAnswer: -224*sqrt(17) + 53316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - z)*(0*z + 0*z - 2*z**3 + (-2 + 0 + 4)*(-2*z**3 + 7*z**3 - 3*z**3)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10) - -1 - (-4)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6471126 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851262331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -5*u. Let l(b) = 0*b - 3*b + u + 1. Give l(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-2 + 1 + 2)*(7*t**2 - 4*t**2 + t**2)*(-10*t + 4 - 4).\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -1299.\nAnswer: -1299.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**3 - 1 - 9*i**3 - 2*i**3 + 2*i**2 to the form f*i**3 + r*i**2 + g*i + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 12:23 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yywwwwyiywwiwwy. Give prob of sequence wiy.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 9 - 46*l - 21.\nAnswer: -46*l + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6 and -151\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-252)\/66 + -3 + (-62)\/(-22). Let h(b) = -b**3 - 6*b**2 - 4*b + 5. Calculate h(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 3.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + i + 210 - 680 = 0, -i - 356 = -3*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147696 is divided by 2144?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) - 1*sqrt(170)))*-5 - -1*((sqrt(170) - sqrt(170)*1) + sqrt(170)))\/(1*sqrt(250)*5 - sqrt(250)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f - 11. Let z be i(-18). Calculate the highest common factor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 7*m + 4*m = -2976. What is the remainder when m is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from {l: 1, t: 1, r: 1, y: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 463163 from -257.\nAnswer: -463420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121066.\nAnswer: 2, 11, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*t - 21 + 4395 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 = -6*m. Solve -h + 4 = m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, m: 9}. What is prob of sequence llm?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -150, -217, -280, -339, -394, -445?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -5*f**2\/2 - 3. Let w(c) = -c**2. Calculate q(w(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i + 2. Suppose -c + 1 + i = 0. Suppose 4*o = c + 37. Calculate the highest common factor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - w = 5, -13*m + 29*w - 170 = -8*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66340, 66266, 66132, 65908, 65564, 65070, 64396, 63512?\nAnswer: 62388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 114*k**2 + 37*k - 17476. Determine y(115).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 + -0.04. Let u be (-8)\/(-15)*(-6)\/(-8). Which is the second smallest value? (a) u (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(78)*2 + sqrt(78) - (sqrt(78) - 3*-2*sqrt(78)))\/(sqrt(384)*2*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 0. Suppose 0 = 6*m - 0*m + 12. Which is the closest to -2\/7? (a) o (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/6054576 and 65\/2552?\nAnswer: 175582704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 13*a + 14. Let v be j(14). Suppose -9*u + 7*u + 76 = v. Calculate the lowest common multiple of u and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-439)\/((-603625)\/825)*4\/90?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3075 - 3053. Sort 11, -3, p.\nAnswer: -3, 11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -577, -603, -677, -823, -1065?\n\"Answer: -4*p**3 + 2*p - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/3)\/f**1*(f\/f**(1\/4))**(-4\/15)*(f**2*f)**21\/((f*f\/(f\/(((f*(f*f**(1\/8))\/f)\/f)\/f)))\/(f*f**(2\/3))) assuming f is positive.\nAnswer: f**(7681\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-630)*(1 + 4\/8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7294?\nAnswer: 2, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qecq when four letters picked without replacement from cpfeefqepeeqecq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -10\/3*y**4 + 0*y**3 - 136*y**2 + 0*y + 0. Let q(o) = -o. Determine n(q(r)).\nAnswer: 80*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 2 - 2 + 100*w - 60*w**3 - 100*w + (0*w + 2*w + 0*w)*(2*w**2 - 4*w**2 + w**2) + 18*w**2 + 2*w - 3*w**3 - 17*w**2 - w.\nAnswer: -66*w**3 + w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-4))\/(1\/(24\/(-18)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36101489*-2.4.\nAnswer: -86643573.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*12*-17. Let j = b + 73. Let f = -16 - j. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 0. Let c be 2\/3*q\/4. Let a(m) = 25*m**3 + m**2 - 2*m - 2. Let y be a(c). Calculate the highest common factor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 3*k**2 - k - 6. Let o be t(5). Let b = 34 - o. Sort b, -2\/9, -7.\nAnswer: -7, b, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*o - 26, u + 3*o = 2*u. Let f(l) = -l. Calculate f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -25*d**7\/42 + 89*d**5\/60 + 209*d**2. Find the third derivative of k(n) wrt n.\nAnswer: -3000*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 1, c: 1, h: 1}. Give prob of sequence nr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 (base 8) in base 7?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.251344 and -2101.\nAnswer: -2110.251344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33361 - 21701?\nAnswer: -55262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289183451?\nAnswer: 289183451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 123*l**2 - 3. Let u(a) = -8*a**2. Determine f(u(r)).\nAnswer: 7872*r**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -185 + 180. What is the hundreds digit of 261 + 12 + z - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 606\/7. Let l(r) = -r**2 + 10*r - 4. Let b be l(4). Suppose -s + 2*k - 10 = 0, 3*s - 8*s = -4*k + b. Is p equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -45 - b**3 - 37 + 93. Let o(v) be the third derivative of v**4\/12 + v**2. Give o(n(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -2*q**5\/5 + q**4\/6 + q**3\/6 + 6*q. Determine j(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -29*l. Let r(k) = -3*k - 2995. Determine r(p(w)).\nAnswer: 87*w - 2995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (-24 + (-14 - -31))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**2*k*w**3 - 4649*g**2*k + 2*g*k*w**2 + 21237*g*k*w + 14*k*w**3 wrt g?\nAnswer: -14*k*w**3 - 9298*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (43 - (51 - 39)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 36 = -0*v - 5*v, 0 = -2*v + 2*o - 16. Let r be 1 - (v*13 - -2). Suppose 5*t = r - 25. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157634962.6 plus -22?\nAnswer: 157634940.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -4\/9*k**3 + 1\/3*k**4 - 5 - 10\/3*k**2 - 4*k. Factor o(v).\nAnswer: 4*(v - 3)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*l - 114. Suppose 4*m + 10 = 26. Suppose 3*v - v + 10 = 4*h, m*h - l = -4*v. Solve 0 = 4*j - 11 - h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 + -93. Let t(c) = 5*c - 8. Let u(h) = 3*h - 5. Let k(a) = x*u(a) - 4*t(a). Give k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/5)\/(-3) + 101. Let f = -101 + o. Is 3\/16 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/5 - 1. Let x = 13\/40 + g. Let y be ((-2)\/5)\/((-12)\/20). What is the third smallest value in 0, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 277 = -5*c, -2*c + 2*w = -117 + 7. What is the third derivative of -55*a**3 - 5*a**2 - 51*a**3 - 14*a**2 - c*a**2 wrt a?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10872 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 10. Let v be l(-3). Let p = -4 + v. Suppose -p*d + 5*o + 332 = 0, 340 = 3*d + 2*o - 3*o. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1796912011.0000051 - 1796912128. Let z = -116.98 + -0.02. Let h = z - a. Round h to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let p be 3 - -3 - (-5 + 7). Let j be p\/(-42) + (-32)\/(-84). Put -4, j, -3, r in descending order.\nAnswer: j, r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 + s**2 + s + 24. What is the remainder when 1097 is divided by g(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2534358.\nAnswer: 2, 3, 422393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4397*j - 4689*j = -1226610 for j.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, z: 2, k: 2, a: 3}. Give prob of picking 2 a and 2 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1821861*n**3 - 441153.\nAnswer: -5465583*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54360397, 108720796, 163081195, 217441594, 271801993, 326162392?\n\"Answer: 54360399*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/22 and -191\/570.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqt when three letters picked without replacement from aaraqrwtrw.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3 + 4508*c**2 - 1103513*c + 5404740 = 0.\nAnswer: -4741, 5, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 6*x + 8*x - 4*x.\nAnswer: -2*x - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*s**3 - 18*s**4 - 11 + 17*s**4 + 2*s**2 + 8 in the form z*s**2 + k*s**3 + b*s + g*s**4 + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(105)*2)\/(sqrt(5) + (-1*sqrt(500) - sqrt(500)) + sqrt(5)))\/((sqrt(4536)*-2)\/(6*sqrt(8)*1)).\nAnswer: -sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 - 21*y\/5.\nAnswer: 3*y*(y - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17569 < 17569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 t when four letters picked without replacement from zzzzttfzztttf?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17827 is divided by 469?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249792 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j**3 - 1 + 1 - j**4 - 11*j**3 - 27*j**2 in the form o*j + v + u*j**2 + f*j**4 + q*j**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8323*v**2 + 10*v**3 - 8317*v**2 + 16635*v**2 + 2 + 4*v**4 to the form f + g*v**2 + s*v**4 + k*v**3 + t*v and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.95 and -4?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w. Let p = -209 - -210. Let a(v) = -v - 1. Give p*a(i) - 4*z(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/9 + 20224*a\/9 - 80864\/9 = 0.\nAnswer: 4, 10108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 898, 1020, 1142, 1264, 1386?\n\"Answer: 122*i + 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 357.43297 to one dp.\nAnswer: 357.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most as big as 289\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 3. Let k(o) = 12*o + 9*o + 20 - o - 5*o. Let y(f) = 3*k(f) + 20*l(f). Let s(a) = -a**2. Give s(y(w)).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*v - 174, 5*r - 42 + 62 = 0. Calculate the remainder when 275 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*c = 132*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 1979186.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 39185556?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 10:10 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 12418 = 23*h + 11122 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.906 + -0.667. What is v rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2499347965 divided by 5.\nAnswer: 499869593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10)*-2*2\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -252, -447, -654, -879, -1128?\n\"Answer: -b**3 - 188*b - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2302 = 35*h - 15502. Calculate the smallest common multiple of 66 and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3464, -3743, -4034, -4343, -4676, -5039?\n\"Answer: -z**3 - 272*z - 3191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641907583.\nAnswer: 9241, 69463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206617 is divided by 234?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3165\/(-195) - (-884)\/52.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m + 82*m + 261*m**2 - 25*m - 27*m.\nAnswer: 261*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 7375.\nAnswer: 14750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 4*o + 9*o)*(-8 + 20 + 14).\nAnswer: 416*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y = f - 9, -3*y - 4*f = -21. Let j(i) = -3*i**2 + 5*i - 3. What is j(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.984 - -0.016. Which is smaller: -2\/9 or a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 654, 655, 656, 657, 658, 659?\n\"Answer: y + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v**2 - 3*v**2 + 15*v**2)*(-3*v - 4*v + 5*v) + 2*v**3 - v**3 + 2*v**3.\nAnswer: -41*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15*5\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 393 + -54. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 324?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 88 - 3. Let p(l) = -7*l + 2*l**2 + 20*l + 16 + 2*l. What is the remainder when k is divided by p(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12311 + -201?\nAnswer: 12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5716 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2*(6\/3)\/206*(-49)\/((-735)\/(-15))\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(27\/36)\/(1\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**5\/60 - 5*r**4\/24 - 3*r**2\/2 + 10*r. Let n(z) be the first derivative of k(z). Give n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 312\/3743527?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 - -109. Which is the closest to -1? (a) 2 (b) -1 (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**3\/3 - 58*j. Let z = 4 - 2. Let i(w) = -3*w + 6*w**2 - w**z + 3*w. Determine i(b(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 4*g + 101. What are the prime factors of u(0)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(1998*(-106)\/(-2862))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -u + 5*p - 0, -4*p + 4 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724318.\nAnswer: 2, 7, 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 447, 452, 457, 462, 467, 472?\n\"Answer: 5*l + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 182, 181, 180, 179?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/((-15)\/(75\/10) - 6) and -51\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + -84. Let c = t + 209. What is the second derivative of -2*w**4 + w - c*w**2 + 89*w**2 wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*n - 27 = 0, -k - 5*n - 12 = -2*n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/8))**(-47) assuming d is positive.\nAnswer: d**(-47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 7. Let l(y) be the first derivative of 3*y**2\/2 - 20*y + 1. Let b = 8 + -2. Suppose 0 = -j - b - 0. Calculate j*l(v) - 17*o(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - w**2 + 3*w**2 + 370*w - 370*w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**3 + 11*a + 7. Let q be 1\/(-3) + (-121)\/33. Let t be (-258)\/24 - q - 2\/8. Let b(g) = -3 - 5*g - g**3 + 0 + 0*g**3. Calculate t*b(i) - 3*r(i).\nAnswer: -2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 22 - 2)*(1 - 2 + q + 6) in the form y*q + r and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f + 1. Let t(v) = v. Suppose 3*u - 8 = 4*q, -4*u + 8 = 6*q - 14. Give q*y(r) + 5*t(r).\nAnswer: -9*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 50*d**2 - 1. Suppose 1035*v + 1078 = 1112*v. Calculate the remainder when w(-1) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 9648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5556 = -3*z - 1752. Round z to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 976 and 3?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133668 less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**5\/60 + 5*d**4\/12 + 13*d**3\/2 + 5*d**2 + 6. Let s be k(-4). Is -13 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by -70.\nAnswer: 41\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 3\/4 (c) -0.063 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 3) to base 10\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101111 (base 2) in base 4?\nAnswer: -2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9909 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -327, -625, -893, -1131, -1339?\n\"Answer: 15*j**2 - 343*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 7 = -2*l - 5, 4*l = 3*h + 4. Solve 0*z + 4*z = h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-14) + 4\/14. Let p = 251 + -755\/3. Which is greater: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = -4. Let v(y) = -4*y**3 - 11*y**2 - 3*y + 5. Let n(k) = -2396*k + 1199*k + 1201*k + 16*k**2 - 7 + 6*k**3. What is x*v(q) + 5*n(q)?\nAnswer: 2*q**3 + 3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137316?\nAnswer: 2, 3, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6450)\/(-175) - 37)*63\/36\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 11*h**2 + 8*h - 4. Let r be m(10). What is the remainder when 92 is divided by r\/(3\/(-4 - -1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 10*r = i - 1, -4*r = -4*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {u: 1, k: 2, r: 4, j: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -6. Suppose -h*c + 4 + 1 = 0. Let y be 4\/10 - 4\/10. Put -4, y, c in ascending order.\nAnswer: -4, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a19 (base 12) to base 15.\nAnswer: -676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37698902 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1596 (base 12) in base 13?\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.1. Let q = 11.7 - 12. Let f = h - q. Which is the closest to 0? (a) 0 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:08 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9456 by -8.\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from nccnccccnc.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 4.976. What is c rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15993641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*w = -w - 171, 0 = 5*r - 3*w - 842. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 54*o**3 - 2. Let p(s) = -163*s**3 + 7. What is -4*p(w) - 14*q(w)?\nAnswer: -104*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 1541568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1))\/g**(-3\/4))**(-44))**(11\/2) assuming g is positive.\nAnswer: g**(-363\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -1332362?\nAnswer: 1332357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131231 is divided by 4374.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -515432 and -515445 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/90 and 23\/19875.\nAnswer: 119250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**5 - 132*m**3 + 1355*m wrt m?\nAnswer: -80*m**3 - 792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 3*r + r + r**2 + 20*r**2 + 3. What is the tens digit of b(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 22 = 5*i, -12*j - 3*i + 21 = -10*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124\/124 - (0 - 0 - 1721) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5210.247um to meters.\nAnswer: 0.005210247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h - 30. What is the remainder when v(15) is divided by 31 + 0 + (70 - 75)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a - 3. Let k be l(3). Suppose k = 3*w - 39. Suppose w = 7*y - 2*y. Solve g + 4*o = -4*g - 11, -y*g = -3*o + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-510)\/85*3\/(-4)*(-2)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 10. Suppose 5*u - 2 = 3*u. Which is the nearest to k? (a) u (b) -1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - ((0 - 0) + -5). Let a(p) = -6 + p + s + 1. Is a(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17*c**2 + 6*c + 4. Let t be n(-2). Let v be (t\/(-18) - -1)\/(2\/(-24)). Let s be 28 - (-2 + (-6)\/(-2)). Do v and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -56. Let u = z + -45. Solve -u*c = -c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -0.5, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6407147 - 0.5\nAnswer: 0.1407147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131771 is divided by 39025.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 458 - 446. Solve 0 = -2*n + 4*o - o + r, 3*o = -5*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 4*w - 7. Let t be c(7). Let k be 1\/((-2)\/12)*-6. Suppose 0 = -h - t + k. Calculate the remainder when 64 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 8:27 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -715*j + 727*j - q - 9, -j - 4*q - 85 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 + 28. Let y = f + 111. Suppose 2*h + 19 - 189 = y. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 7. Calculate the smallest common multiple of w(-13) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 2. Suppose 4*c + b = 68. What is the remainder when c is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 3*m + 9. Let p(r) = r**2 + 4*r - 4. Let i be p(-6). Suppose 4*t + 20 = i*t. Is n(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359 plus 1930963?\nAnswer: 1930604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3685 divided by 67.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + k**2 - 3*k**2 + (2*k + 3*k - 7*k)*(7*k - 2*k - 3*k) - k**2 + 0*k**2 - 3*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20691 = 397*t + 110*t - 144*t for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -25*u**3 + 4*u**2 - u - 1. Is b(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 53935*z.\nAnswer: z*(z + 53935)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 15 + -12 - (1 + 12)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1700*l - 39*k = 1701*l + 74, -5*l + 30 = -5*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 42. Let g(k) = k**3 - 8*k**2 - 12*k + 3. Let r be g(9). Let m = r - x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 10*p**2 - 2*p + 75. What is the smallest common multiple of z(-9) and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*l**2 + 8*l**2 + 14*l**2 + 38*l**2 + 16*l**2.\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 i when three letters picked without replacement from {l: 4, i: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 635801955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 - (76 + -57) - -88.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**5\/20 + 5*w**4\/3 - w**3\/3 + 41*w**2\/2 + 998*w. Calculate j(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81618 divided by 159\nAnswer: -27206\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -77*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlfffv. Give prob of picking 2 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4.8. Let g = w - 0.5. Sort g, -4, 4 in ascending order.\nAnswer: -4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 0 + 0*k**2 + k - 1\/6*k**4 + 0*k**3. Let i(l) = -7*l + 2*l + 4*l. Calculate i(r(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/7)\/n**8)**48 assuming n is positive.\nAnswer: n**(-2976\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*u + 3 = -0*u, 3 = h + u. Let z be h\/6*6\/(-4). Is 2 + (z + -1)*-17 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -372*v**4 - 276?\nAnswer: -1488*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3, 0.3, 54?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802520495.\nAnswer: 5, 7, 22929157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*14\/42 + 3*2. Solve -14 = -k - 3*k + y, -s*k + 24 = 4*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8647391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*t = -8381 + 12845 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 + 9671. Is i a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 1 + 1 - 2*x - 5*x + 6*x - x + x - x + (-x + x - 2*x)*(3 + 1 - 3) + 5 + 2*x - 5)*(5*x - 3*x + 0*x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*y + 51*y - 5060 = 59*y - 64*y for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*i - 60, -2*m - 29 + 74 = 3*i. Let j(t) = -36*t + m*t - 4 + t**3 - 1 + 6*t**2 - 2 + 5*t. Suppose v + 2 = -5. Determine j(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -655?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -768, -9, 2, 63 in descending order.\nAnswer: 63, 2, -3, -9, -768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/37995 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 73 (b) -0.1 (c) -22.4 (d) -2 (e) 3 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/21 (b) 0.07 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274608, -549150, -823692, -1098234?\nAnswer: -1372776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:04 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 39704924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 109*n**2 - 8*n + 9. Calculate o(1).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6)*(88\/(-33) - 22\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104873 is divided by 444.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34815721?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -18*v**3 + 5*v**2 + 800*v + 832. Let o(z) = -11*z**3 + 3*z**2 + 400*z + 414. Let n(s) = -3*m(s) + 5*o(s). What is the derivative of n(f) wrt f?\nAnswer: -3*f**2 - 400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 168 = 2*m - 3*j, -4*m = -5*j - 305. Let h(q) = q**3 + 5*q**2 - 4*q - 3. Calculate the remainder when m is divided by h(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8807319 - 26421914 + 8807319 + j + 8807276.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 7*f**2 + f + 9. Let y be g(-7). Let j be (-8 + y + -4)\/(0 + -2). Suppose p = -j*a - 3*p + 64, 0 = -p + 1. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 9*a + 57430 = -4*c, c + 24615 = 3*a. Calculate the highest common divisor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 29*v**3 - 4 - 7.\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/12760273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 16176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39 + 36*j**2 - 39 + (2*j**2 - 2*j + 2*j)*(-11 + 2 - 4).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(72)*3)\/sqrt(3))\/(sqrt(128)*2 + sqrt(8)) + 1)*6.\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h - 10. Let r = -6 - -12. Let x(q) = -6 + 3 + r - 4*q + 6. Let y(i) = 3*w(i) + 4*x(i). Give y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**4\/3 - 7*d**3\/6 - 2*d**2. What is the remainder when h(7) is divided by 67\/4 - (-1)\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3082389 and 969.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 96, 97, 98, 99?\n\"Answer: g + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 3, k: 1}. Give prob of sequence zoz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*4 + 0.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g - 97*g - 1233 = -3*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1680686 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from hhhsahhshysyqy?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 j, and 1 f when three letters picked without replacement from {x: 1, f: 1, q: 1, j: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/60)\/((-5)\/((-400)\/(-15))). Solve y*q = -75*k + 71*k, -4*k = -2*q - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -285, -278, -257, -216, -149, -50, 87, 268?\n\"Answer: h**3 + h**2 - 3*h - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - t - 11*t**2 + 6*t**2 + (4 - 2*t - 4)*(t - 33*t + t).\nAnswer: 59*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*c + 124 - 408 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3*3 + 6. Suppose 4*g - j = 3*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 2*p + 5*p + 3*p - 16*p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.24 + 157.76. Let t = w - 157.9889. Round t to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17160 and 10101390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - (-1)\/(11\/(-165)))\/((-2 + -1)\/(-24))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42*0.15\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18615586 is divided by 227?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/98)\/(2\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 854 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/3)\/b**(-1\/14)*b*b**1*b*b**(-5) assuming b is positive.\nAnswer: b**(-53\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*s - 1 - 237*s + 114*s)*(-4 + 4 + 1 + (0 + 1 + 0)*(4 - 3 + 1) + 1 + 4 - 6).\nAnswer: -28*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 48*y + 43 = 52*y, 0 = -2*y + 8. Solve -w*f - 239 = -239 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*x + 16 + 9 = 0, 85 = 5*u - 5*x. Let f(y) = -2*y**3 + 83*y**2 - 40*y - 28. Let z be f(41). Are u and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -61044406, -122088792, -183133192, -244177612, -305222058?\n\"Answer: -p**3 - p**2 - 61044376*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4 - 5*p + 2 - 2. Let h be z(2). Let s(x) = x**2 + 4*x - 9. Let a be s(h). Solve -n = a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13*p**2 + 9944 - 9944 + 14*p**2. Let t(x) = 33*x. What is w(t(u))?\nAnswer: 29403*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1470 = -5*x - 10105. Let w = -3928 - x. Let a = w + 3313. Round a to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 510 and -404.5.\nAnswer: 105.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -193 + 187. Let s(o) = -o**3 - 3*o**2 - 6*o + 1. Let w(j) = -j**2 - 1. Let n(a) = s(a) + 3*w(a). What are the prime factors of n(v)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.0325762736 + -0.0325764136. Let l = -14.82 + -0.18. Let f = l + h. Round f to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k + k**3 - 7*k - 3*k + k**3 + 3*k + (2*k**2 - k**2 + k**2)*(2*k - 4*k + 3*k) in the form m + b*k**3 + g*k + o*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 42*j**2 + 1182*j + 6774. Determine v(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41378 is divided by 155?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**7\/735 + m**6\/84 + m**5\/70 - 3*m**4\/28 + 10*m**2. Suppose k(y) = 0. What is y?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.3169 kilometers to centimeters.\nAnswer: 23131690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 16.5, 0, -1\/2?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 24. Determine u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x + 12*x - x - 435*x**3 + 8*x + 442*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g + 2*s - 10, 5*g = 5*s + 5. Solve -q - 4*a = -7, -q = q + g*a - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 81580*m**2 + 1386601*m - 2446890.\nAnswer: (m - 81563)*(m - 15)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 equal to 12490\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.182, -0.5, 0.3, -4230, -2, 3, 0.01?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*r - 75. Suppose 5*z = z - 112. Let y = r + z. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 304607999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*3*6\/81?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1890*n*p**5 - 2*n*p**3 + 6*n*p - 26*n - p + 29 wrt p?\nAnswer: 37800*n*p**3 - 12*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/5 + 18*n**4\/5 + 18*n**3\/5 - 98*n**2\/5 + 12*n = 0.\nAnswer: -6, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z - 6. Let b(p) be the first derivative of -9*p**2\/2 + 7*p - 4. Let j(x) = -6*b(x) - 7*t(x). Let s(k) = -2*k**2. Determine s(j(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -979242, -979187, -979132, -979077, -979022, -978967?\nAnswer: -978912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 12*n - 6*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 173*v + 22. Let m be i(6). Suppose -46*h - m = -51*h. Calculate the remainder when h is divided by 73.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 6219168143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-12)*(1 - (-2 + 3 + 33)). Solve -11*g = -0*g - q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 6*h + 5. Let d be x(6). Suppose 0 = -2*w - 3 + d. Calculate the smallest common multiple of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473 and 126334.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13513 - 1?\nAnswer: -13514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 16. Let u = 20 - i. Solve u*l - 1 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-3) + 2)*-3. Let y be 2 - 4\/6*-3. Let w = y - 6. Sort 3, w, r in descending order.\nAnswer: 3, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + r - 3. Suppose 0 = 2*h + 2*h - 4*c + 48, -c + 42 = -4*h. Let k be l(h). Let s = k - -178. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -378 in -0.07, 5, 0.4, 0?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/1)\/(-1*2\/(-14)). Suppose -t*w = -5*w. Solve 4*s + 0*s = w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*u**2 + 2 - 1598*u**2 - 2.\nAnswer: -1499*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5459566, -10919116, -16378666, -21838216, -27297766?\n\"Answer: -5459550*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*z - 3*z - 20 = 0, 0 = z. Let n = -0.24 + 0.2. Let i = n + -0.96. Sort i, d, 0.5 in increasing order.\nAnswer: d, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/146 and (-852)\/36 - (-2 - -3).\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28877 - -147?\nAnswer: 30135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 320, 398, 476, 554, 632?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1845405, -1845413, -1845433, -1845471, -1845533?\n\"Answer: -d**3 - d - 1845403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 1. Let g(n) = 1. Let j(r) = -g(r) - y(r). Let q(a) be the second derivative of 0*a**3 + 2*a + 1\/3*a**4 + 0 + 0*a**2. What is j(q(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.659502 millennia to years.\nAnswer: 6659.502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 2*a + a)*(156 + 15*a - 73 - 82) as w*a**2 + h + n*a and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -37253?\nAnswer: -37251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 0)*5)**2*-3.\nAnswer: -1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140\/3 + -47. Let y = -2108.2 - -2108. Which is the nearest to y? (a) -1\/4 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -2213d5?\nAnswer: -2213d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:20 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.05 - -0.05. Let p be (4\/(-14) - 2912\/(-1274))*(-6)\/4. Which is the third biggest value? (a) p (b) 3 (c) n (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 6) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1549 (b) -2\/5 (c) 131.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*d - 6*d + 44261, -5*d + y + 221316 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3575667 and -0.9.\nAnswer: 3218100.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/((-7)\/294*-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 3*r - 3. Let i = 296 - 300. Let q(l) = 2*l**3 + 4*l + 4. Give i*c(u) - 3*q(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 61628384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -23*m + 1. Let y(q) = 84*q - 442. Let z(a) = 4*c(a) + y(a). Determine z(-54).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129076910?\nAnswer: 2, 5, 443, 29137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4980 + -5001. Suppose -4*a = -4 - 4. Which is smaller: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63 - -56 - (1 + 30\/(-4)))*29\/(-1305).\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -375200910 rounded to the nearest one hundred thousand?\nAnswer: -375200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2442 and 12210.\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33803263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6*(-18)\/39. Let n be ((-5)\/(-15))\/(2\/(-6)). Which is greater: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1454 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-1 + (-59055)\/(-18)). Let m = -3268 - x. Let h = 607\/28 + -234\/7. Calculate the common denominator of h and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 18*d**2 - 5*d + 15. Let i = 96 - 59. Let f = -46 + i. What is the tens digit of t(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1023, -1022, -1021, -1020?\n\"Answer: y - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/9 + (-4)\/6. Let a = 9 + n. Suppose c - 6 = -5*h, a*h - h + 1 = 3*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/11)\/o)\/o)\/o**15 assuming o is positive.\nAnswer: o**(-186\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -73*2\/(8\/(-4)). Let f = 56 - u. Let y = 23 + f. Calculate the smallest common multiple of y and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765232 is divided by 1200?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -7 + 796*l**2 + 7 - 791*l**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1791 and 159483177.\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 6*o**2 + 19*o + 9. Is t(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153009010 rounded to the nearest 100000?\nAnswer: 153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1437*o = 1434*o, 28*o = 5*z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*r - 64*r - 125*r - 7*r.\nAnswer: -141*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 130 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 - (0 - (-11 + 3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 29*q - 548. Calculate the remainder when 97 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 25500*l - 1632049. Give s(64).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 0*m**2 - 1\/540*m**6 + 0*m - 1\/9*m**4 - 8 - 1\/45*m**5 + 5\/3*m**3. Let j(n) be the third derivative of p(n). Factor j(t).\nAnswer: -2*(t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-10)*(-15)\/6. Suppose -3*c = n - 6 - 9, v*c + 5*n - 15 = 0. Suppose u + 23020 = c*d, 4*d - 92016 = 4*u - 0*d. Round u to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2775\/(-2220)*(3969\/(-795) - -5)?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuviiiuvivvuvv. Give prob of picking 1 u and 1 v.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-9*(-231)\/924)\/((-3)\/8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29*(-2)\/(-22)*847\/77.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1705, -1, -4, -6 in ascending order.\nAnswer: -1705, -6, -4, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7058 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 346\/15 + -356\/15. Put 275, -0.1, u, 2 in decreasing order.\nAnswer: 275, 2, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 4*o - 1. Let h be n(3). Let j(t) = 7*t - h*t - 6*t. Let r(s) = -384*s + 125*s - s**2 + 126*s + 133*s. What is r(j(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-2)\/32). Suppose 0 = 3*s + 1 + m. Which is greater: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 846*i - 849*i = -23204, -2*s + 3*i + 46444 = 0. Does 144 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 8. Let q(d) = -d**2 + 1. Let o be q(-1). Suppose 3*h + h - 16 = o. What are the prime factors of g(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*r = r + 37, -5*u + 5*r + 70 = 0. Solve -4*p = 25 - u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*a + 378. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 51. Suppose -14 = -3*t - 5. Suppose 5 = -d, -o + 141 = 2*o - t*d. What is the highest common factor of g and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 - -128. Let d(f) = -89*f + s*f + 32*f. Let p(x) be the second derivative of -x**3\/6 - x. Calculate d(p(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q + 5*q. Which is the third smallest value? (a) q (b) -5 (c) -1\/3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(224) - sqrt(14))\/sqrt(7) + 2.\nAnswer: -2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 6, d: 1, l: 4, z: 3}. What is prob of sequence zzm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*(1 + 1). Let i be d - (0 + 2*-6). Calculate the highest common divisor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.2082 + -13.64. What is c rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c + 2372 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/8*(37 + -3). Do l and 43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56257 + -8?\nAnswer: 5624a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -589 + 588.9995128. What is h rounded to five dps?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 111282163 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:33 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 3:01 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -3 + 0*j**2 - 3\/8*j**4 - 7\/6*j**3 + 2*j. Factor s(d).\nAnswer: -(d + 1)*(d + 2)*(3*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - 39\/(-26)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 5. Let t = -111.5 - -111. Let a = 6 - 3. What is the closest to a in q, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*w = -19, 5*h + 6*w - 15 = w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1704374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.087 (c) -0.1 (d) 244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4648928, -4648933, -4648940, -4648949?\nAnswer: -4648960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131.355 + -131. Let v = -0.045 - q. Sort 0, -0.1, 4\/7, v.\nAnswer: v, -0.1, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220140511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 = 7. Suppose g = 4*m - g - 54, 3*m + g = 28. What is the lowest common multiple of k and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 0.04?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*p = 0, -5*q = -p - 2*p - 32. Suppose -5*m - 3 + 14 = 3*b, -4*b = 5*m - 13. Sort m, q, -4 in decreasing order.\nAnswer: q, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/3 - 14\/(-14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/5 (b) 2 (c) 1103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v + 44*v - 4*i + 40 = 13*v + 4 - 44, -v + 8 = i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*y + 148 + 73 - 220 + 5*y**2 to f*y + i*y**2 + s and give f.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2439.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -4\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvpvvv. Give prob of picking 2 v.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4354 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j + 3838 - 2020. Calculate the remainder when 2118 is divided by j.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 641 and -4.\nAnswer: -2564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, d: 9}. What is prob of sequence kkk?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a. Suppose -5*z + z + 76 = a. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.552 + -0.551601. What is n rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -11. Suppose 4*n - 8 + 4 = 0. Which is the third biggest value? (a) w (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*r**2 - 175*r - 90.\nAnswer: -5*(r + 1)*(17*r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 8*f**2 - 18*f + 21. Let g be m(-10). Let s(y) = -14*y + 1. Give s(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 32459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 2*z - 6*z)*(109 + 290 - 140) to the form o + u*z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (7 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + 0*m**2 + m**3 + (-2*m**3 + 2*m**3 + 2*m**3)*(0 + 3 - 2)*(2 - 4 + 3) in the form c + n*m**3 + o*m + z*m**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3951*t**3 + 3*t**2 + 3944*t**3 - 3*t**2.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbbwbkkkwbwwkok. What is prob of picking 1 b and 1 i?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 5*v - 17. Give p(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (555768\/(-180))\/83*10\/(-18)*(-99)\/22.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6190 and 870?\nAnswer: 538530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32 - -31)\/(1\/(-30)). Suppose -3*v - 3*v = -m. Find the second derivative of 14*r - 19*r**v - 4*r**5 - 3*r wrt r.\nAnswer: -460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, 4, -1920, 2 in descending order.\nAnswer: 4, 3, 2, -1, -2, -1920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4378.1425 to the nearest 10.\nAnswer: -4380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5*l - 6, -2*h + 2*l - 2 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 20*y**2 - y - 3. What is the units digit of o(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 254, -1, -4, 19, -10 in increasing order.\nAnswer: -10, -4, -1, 5, 19, 254","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 19075680 a multiple of 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 11.00005. Round w to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = 2*q - 2*k, 3*k - 15 = -4*q. Let b(u) = u + 2*u - q*u**2 - 3*u. Let t(o) = 2*o. Give b(t(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2754880517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j + 1623 - 1665 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)*d)**(25\/2))**(5\/11) assuming d is positive.\nAnswer: d**(75\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-21)*14\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r - 5. Let l be n(-2). Suppose -l*x - 2*c = 3*c - 65, 0 = -2*x - c + 29. What is the common denominator of 143\/12 and 1\/x*154\/(-21) - 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(272)*-2)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4181 and 1469.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7544*c**2 + 577*c**2 + 489*c**2.\nAnswer: 8610*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -1 (c) -2.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 1 - 1 + (43 - 43 + 2*z**2)*(5 - 3 + 0) + 68 - 3*z**2 - 21 + 9 to q*z**2 + u*z + k and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2. Let a(y) be the first derivative of 4*y**2 - 3. Give r(a(m)).\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15477851?\nAnswer: 29, 533719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 39 = -0*o. Let g = -28 + o. Let y = -56 + 38. Find the common denominator of g and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 1, e: 2, r: 1}. Give prob of picking 1 h and 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/4 - 217099*y**4\/4 + 54274*y**3 + 108549*y**2 = 0. What is y?\nAnswer: -1, 0, 2, 217098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137716.\nAnswer: 2, 34429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6522206 centuries to years.\nAnswer: 65.22206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**3 + w**2 + w - 1. Let a be h(1). Let g(z) = 0*z**2 - 2*z - 2*z**2 - 3*z. Calculate g(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Suppose 3 = 2*w + w, -q*n = 5*w - 17. What are the prime factors of (-3)\/6*n\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2877492.9 rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 2 - 1\/4*z**4 + 2*z**2 - 4*z - 1\/3*z**3. Calculate the remainder when r(-4) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 - -126. Suppose 5*b = -3*f + 7*f + 199, -o*f = -b + 23. Suppose -59 = -4*d - b. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1341763555 divided by 5\nAnswer: -268352711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/r)**(-2\/17)*r**5*r**(-1) assuming r is positive.\nAnswer: r**(70\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p - 13*p + 21*p + 6072 = 0. Solve 130 = p*j - 164*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 22001586 = 2*b, d + 2*b = -d + 14667726. Suppose 3*h - 7486140 = d. Round h to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 + 29*o + 17. Let d(m) = -2*m**3 - 15*m**2 - 58*m - 35. Let v(q) = 3*d(q) + 5*r(q). Determine i so that v(i) = 0.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 42?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -788, -1579, -2370, -3161?\n\"Answer: -791*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(104) - sqrt(104)*1))\/(sqrt(14)\/(2*sqrt(7) - sqrt(7))))\/((sqrt(900)*-2 - sqrt(900) - sqrt(900) - sqrt(900)) + (sqrt(576) - sqrt(576)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3 - 1747332*y**2 = 0 for y.\nAnswer: 0, 436833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 334 + -308. Solve 6 = -20*s + r*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 12:47 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiarrjbrra. What is prob of picking 3 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 429564 and -14.\nAnswer: 429550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00741 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (19028\/(-568))\/(4\/(-6)*9\/(-12))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140141 (base 5) to base 14.\nAnswer: -20d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -902*o**2*v**2 - 3*o*v**2 + 790 wrt o?\nAnswer: -1804*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 87395.96 to the nearest 1000.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. Let o = -0.2 - 0.4. Let z = -1 - o. What is the closest to j in -1\/4, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g*m**2 + 2*g*m + 107*g - 34*m**2 - 25*m wrt m?\nAnswer: -10*g - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.2 less than 76.22?\nAnswer: 94.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from ttmt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1503, -1466, -1419, -1362, -1295, -1218?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {j: 5, q: 1, r: 1, t: 1, h: 1, v: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/16*(-700)\/(-350).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 36*w**2 - 3*w + 2. Let v be u(1). Let z = 37 - v. Suppose 1\/2*g**3 + 0 + 0*g**z + 1\/2*g**4 + 0*g = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 85133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 2*a**2 - 2*a - 4. Let m(w) = -w - 2. Let n be m(-7). Suppose -n*s - 35 - 15 = 0. Let r be (-46)\/(-14) - s\/(-35). Determine c(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74*1\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7135713, -7135718, -7135727, -7135740, -7135757, -7135778, -7135803?\n\"Answer: -2*y**2 + y - 7135712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5260.067 rounded to the nearest ten?\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -35?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495*b + 19706 = -161*b. Solve 0 = -2*r - 4, 0 = -w - b*r + 60*r - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2. Let a(l) = -13*l**2 - 13. Give r(a(t)).\nAnswer: -338*t**4 - 676*t**2 - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2978502 divided by -51?\nAnswer: 58402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 8*p - 7. Let j be u(-6). Let s be (-4)\/70*(-7 + 2). What is r in -2\/7*r**3 + 0*r + 0 + s*r**2 + 2\/7*r**j - 2\/7*r**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 8 = -3*h - 20, 3*h + 12 = -2*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023210 (base 4) to base 10.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 3\/45112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51709 is divided by 562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:20 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -136*l + 83*l + 54*l + 9. Suppose 0 = -k - 6. Calculate n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(17\/2)*u*(u*u**(-6)*u*u*u)\/u*u**(6\/23)\/((u\/(u*u**(3\/22)))\/u*u))**(-5) assuming u is positive.\nAnswer: u**(-8725\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*g = 15, -g = -4*o - 4*g + 3. What is the thousands digit of ((-60448)\/96)\/((-1)\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 90, 101, 120, 147, 182?\n\"Answer: 4*j**2 - j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6237 and 100632.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*-1*sqrt(78) + -2*(sqrt(78) + sqrt(78)*-1 - sqrt(78)) + sqrt(78))\/((1*sqrt(2304))\/sqrt(6)) + 1 + -4)*-2)**2.\nAnswer: -12*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-54))\/((32\/(-6))\/(-8))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from sitest?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2. Let i(x) be the second derivative of 13*x**7\/2520 - x**4\/3 + 5*x**3\/6 + 39*x - 2. Let m(c) be the third derivative of i(c). What is m(h(p))?\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*r = -4, o + r - 8 = 4*r. Suppose o*c + 10 = 4*c. Suppose -c*g + g - 4 = 0. Let m(x) = -2*x**2 + x. Determine m(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2102*t + 89235 = -51405 + 27587 - 4659 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -11, 1469, 1 in descending order.\nAnswer: 1469, 1, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6496297, -6496282, -6496257, -6496222, -6496177?\nAnswer: -6496122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 709.1 + -773. Let u = k - -58. Round u to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10*1)\/(8 - 6). Let a(h) = 4*h**3 - 5*h**2 - 5*h. Let u(z) be the third derivative of -z**6\/60 + z**5\/20 + z**4\/8 + z**2. Calculate k*u(o) + 3*a(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10036 + -10087. Which is smaller: g or 0.038?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2939798.\nAnswer: 2, 37, 39727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34533, 34534, 34533, 34530?\nAnswer: 34525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9*c**11*(c\/(c*c\/(c*c*c**4)))**(-45) assuming c is positive.\nAnswer: c**(-205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22150666, 44301336, 66452006, 88602676, 110753346?\n\"Answer: 22150670*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*x**2 + x**3 + 1 - 57*x**2 - 19*x + 15*x**2 + 22*x**2 - 4*x**3 - x**4 in the form p*x**4 + a + o*x**3 + g*x + k*x**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-417321)\/(-7) + 100\/(-350) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12781\/7254 + 16\/403. Find the common denominator of o and 71\/370.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - b**2 - 6 + 7 as z + g*b + i*b**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9916 - 41.139802.\nAnswer: -43.131402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6882055 is divided by 2774?\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36d1ba (base 15) in base 3?\nAnswer: 11221102101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7 - 12*b + 9 - 7 + 7*b. Let w be y(2). Sort w, -13, 0 in increasing order.\nAnswer: -13, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 20915*r**2 + 218739526*r + 437395396.\nAnswer: (r + 2)*(r + 20914)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/332)\/(3*(-24)\/36))\/((-519)\/(-692))?\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3154*a**2 + 644*a**2 - 385*a**2 - 419*a**2.\nAnswer: -3314*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22523062847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 = 7*o. List the prime factors of (35\/o)\/(1\/(-16)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (158160\/(-3))\/((-6)\/10*(-2)\/(-120)). What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32264 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15568891 and -4?\nAnswer: 15568895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 (base 8) in base 15?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-19638))\/(4\/12). Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 5 + 2 + -6 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p - 979 = 77*p - 19*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((4284\/27)\/(-14))\/(12\/18)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 24 = 5*m - 0*h, -4*m + 2*h = 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 1. Let n(y) = -10*y**2 - 7*y - 1. Let m(s) = -2*i(s) - n(s). Is 2 a factor of m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24000 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -i - 7, 4*i + 165 = -o. Let m = o + 195. Let x(l) = -l**3 + 10*l**2 + 9. What is x(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b13 (base 12) in base 9?\nAnswer: 4506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**10*t*t)\/(t\/(t\/(t\/(t\/t**(-14))))))\/(((t**17*t)\/t)\/t**(-4)) assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127059, -127071, -127117, -127215, -127383, -127639?\nAnswer: -128001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -0.78?\nAnswer: -6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 13*p - 13 + 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 715991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -1, 0 = -j - j + 5*y + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 + 1.16. Let r = -0.59 - s. Put r, 2\/15, 0, -0.1 in descending order.\nAnswer: 2\/15, 0, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 18*i**3 - 16*i**2 + 15*i**2 - 25*i**3 + i in the form h + z*i + u*i**2 + g*i**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 414\/(-24)*((16\/42)\/(-4))\/((-2572)\/36008)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5+930829\nAnswer: 930834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -4. Calculate the remainder when (1 + 6)*(-96)\/n is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5))**27*(x\/((x**(-9)*x)\/x))\/(x**(-2\/7)\/x) assuming x is positive.\nAnswer: x**(-677\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 685 or -6146?\nAnswer: 685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r + 57*r + 22*r - 162*r + 24*r + 30*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 3. Let k be b(-7). Let f be k\/6 + 24\/9. Let m = 18\/5 - 44\/15. Is f less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**7\/350 + 7*u**6\/200 + 3*u**5\/25 - 2*u**2 + 138*u. Find o, given that a(o) = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 10*x**2 - 3*x)*(2 + 2 - 6)*(7*x - 3*x - 2*x).\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + f**2. Let m be d(1). Solve -2*v + 2 = m, n + v = -3*n - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(9) - 5*(sqrt(6)\/sqrt(2) + sqrt(3) - sqrt(3))) + (sqrt(3) + sqrt(33)\/(1*sqrt(11)))*4.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 1. Let j be x(5). Let d be (-12)\/j*4\/(-39). What is the biggest value in d, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h - 8. Let y = 94 - 93. Is h < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75*b + 2565 - 393*b + 240*b + 78*b + 2790*b**2 wrt b.\nAnswer: 5580*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*k + 3*k + q - 10, -k + 3*q - 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1\/54608, 135.8, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:03 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -265*21\nAnswer: -5565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(143) + sqrt(143)*-5*-2)\/(sqrt(11) - sqrt(110)\/(sqrt(10)*2)))**2.\nAnswer: -88*sqrt(13) + 6296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9b (base 12) in base 5?\nAnswer: -22214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 8. Let m(x) = x**3 - 5*x**2 - 15*x + 10. Let v be m(7). Suppose -c - 4 = 3*d, 2*d + 13 = -4*c - v. Let o be f(c). Solve -3*s = -o*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2 and -143\/606?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11403 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5084062 by 1333.\nAnswer: -3814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-132))\/(5\/(-135) + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3940*m**5\/7 - 13886*m**4\/7 - 12156*m**3\/7 + 1682*m**2\/7 + 3988*m\/7 + 96\/7 = 0.\nAnswer: -2, -1, -24\/985, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/6300, 6, 56\/9 in decreasing order.\nAnswer: 56\/9, 6, 1\/6300, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -15. Suppose -y*z = -o + z - 2, 2*z = -o + 12. Calculate the greatest common divisor of 20 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1942888562 rounded to 4 dps?\nAnswer: 1.1943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -364*n - 2369. Calculate m(-7).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 353*a*j*o**2 + 30*a*j - 2*a + 8859*j*o**2 + 1702*j - 11 with respect to o.\nAnswer: 706*a*j*o + 17718*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -698888*q + 698896*q - 94, j + 5*q = 52 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - 10010101101100111?\nAnswer: -10010101101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/650 and 17\/30.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-4))\/(2\/8). Suppose -8 = 3*c - l*c. Solve r + 15 = -c*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100 * 0.2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 - 2*z**5 + 0*z**5 - 7*z**5 - z**5 + 6*z**5 + (3*z + 2 - 2)*(-z**4 - 2 + 2).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 119592 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 0*(-1)\/(-2). What are the prime factors of 11\/i*4*2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 459 - 306. Suppose 0 = -3*r + a - 138. Solve r*q + 7 = -18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 1:52 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.18 - 3. Let i = u - 3.18. Let q be (-6)\/(-20)*(-17)\/(-34)*-10. Sort 3\/8, q, i, -2 in increasing order.\nAnswer: i, -2, q, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 1744. Let q(f) = 19. Give -p(m) - q(m).\nAnswer: 2*m - 1763","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 242274, 486500, 730726, 974952?\n\"Answer: 244226*b - 1952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 102*p**2 + 87*p + 32. Let w be a(-4). What is the greatest common divisor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.136 - 5.05. Is -2 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32918 + 12\nAnswer: 32930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 2*q**2 + q - 2. Let h be a(2). Suppose h = w - 6 + 4. Suppose 2*p - w = 6. Let v(s) = -s**2 + s + 4. Give v(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -324 - 356 + 683 - 42*x. Let h(k) = -2*k. What is l(h(v))?\nAnswer: 84*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o + 2*o)*(0 - 1 + 0)*(30 + 31 - 52).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 5 = -11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjv. Give prob of sequence nj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10186\/20107 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2008288*g - 1004096*g - 1004213*g.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 569225 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*y = -i, -i + 4*y = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/60*(11 - (-18 - -7)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 8\/99123?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 18 - 1\/(-7))*(-4)\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((116\/(-29))\/4)\/(-1))\/(1*-67)\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1234\/7 - 176. Suppose -l*n - 2\/7*n**2 + 0 + 10\/7*n**3 - 6\/7*n**4 = 0. What is n?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 15 - (86 - 93).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**8\/3360 + n**7\/1680 - 139*n**5\/60 - n**3\/6 - 3*n**2 + 10. Let u(a) be the third derivative of i(a). Factor u(c).\nAnswer: 3*c*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 - 75*n + 2264. Let z = -2 + 4. Suppose -z*t + 4*t - 54 = 5*h, 2*t - 58 = 4*h. What is the remainder when t is divided by a(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1328 + 2379. Suppose -6*g + r = -617. What are the prime factors of g?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -474797897 divided by 49.\nAnswer: -9689753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 60 = 4*g, g - 18 = -m + 3*m. Suppose n + 5*k + 9 = 0, -4*k - g + 5 = n. Let z = -2 + 5. Is n smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -1062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q - 7*q**3 - 1 + 0*q**3 + 5*q**3 + (-4*q**2 + 3*q - 3*q)*(-4*q + 0*q + 3*q) + 2*q**3 - 2*q**2 + 2*q**2 to b*q**3 + n*q + t*q**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -80.2802\nAnswer: -481.6812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**2 - 135*c - 43. Let t be s(49). Let a be (-144)\/(-18) + 47*t. Round a to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-76)\/(-57)*1\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**6\/720 + n**5\/120 + 15*n**2 - 28. Let u(c) be the second derivative of t(c). Determine a so that u(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 - 119. Find v, given that 4\/7*v - 2\/7*v**2 + q - 2\/7*v**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.3 (b) -4 (c) 1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2006867\/2 at least -1003433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 r when four letters picked without replacement from kxxryyxkrryrrkxxxxy?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -939*v - 138 = -1008*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201606551 and 45529?\nAnswer: 2217672061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 284517991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-4) + (-90)\/(-40). Find the third derivative of 6*n + 6*n**3 - 6*n - 2*n**2 + 5*n**v wrt n.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25547 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + (-4*sqrt(891) - sqrt(891)) + 5*-2*-6*sqrt(891))**2 + -4 + 1.\nAnswer: -8910*sqrt(11) + 2695353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 12 = 2*x + 2*q, 2*x = 4*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in 0.2, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69 - x**3 - 56 - 13*x**2 + 4*x**3 + 169 - 56 wrt x.\nAnswer: 9*x**2 - 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, -7, 2\/11, 77, 2\/89 in descending order.\nAnswer: 77, 2\/11, 2\/89, -0.2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30664 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (89 - 2)\/(345\/575) is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**4\/12 - 7*l**3\/3 + 11*l**2\/2 + 13*l - 2. Let s = -541 - -554. Determine y(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 30. Let v be (-8)\/f + 2\/6. Let i(u) = 18*u**2 - 3*u - 2. List the prime factors of i(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26150.4 - -26150. What is the nearest to 4 in -3\/5, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 150.929\nAnswer: 7.54645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.057 (b) -51 (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*b - 20, -2*b - 3*b = 3*w + 22. Let x = w + 4. Suppose 4*y = -3*y + 35. Solve -5*s - y = -5*q, x*q - 3*s = -2*s - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.906448l?\nAnswer: 2906.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0222 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*u**3 + 110*u**3 + 600*u**3.\nAnswer: 1104*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f + 2 = 29*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -508 + 1264. Let o = c + -722. What is the remainder when 338 is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 127*x + 398. Determine b(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (8\/10)\/(11\/(127600\/32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29019 + -724561\/25. Let r = 22091\/600 - o. What is the common denominator of -17\/20 and r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 8:25 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*i + 43. Let z(k) = -7*k - 27. Let g be z(i). What is the second derivative of -23*b**2 - 51*b + 41*b**5 + 23*b**2 + g*b wrt b?\nAnswer: 820*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34765673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 7:08 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*c**4*f + c**4 + 28*c**3*f - 1453*f wrt c?\nAnswer: 92*c**3*f + 4*c**3 + 84*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2988)\/(-105))\/(-4) - -3. Let d = -33\/7 - f. Put -0.5, -1, d in ascending order.\nAnswer: -1, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 245 + -233. Solve t*w - 16*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75335.\nAnswer: 5, 13, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 3. Let c = -0.9 - -1. What is the closest to m in 0.3, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.6+75.6461\nAnswer: 101.2461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98449 = -4*a - j, -47579 = -2*a - 5*j + 1668. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 9:01 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 535\/(1 + 4). Let g = j + 220. Suppose 5*x + 0*x - g = 0. Calculate the remainder when 45 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 2\/915?\nAnswer: 2\/915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 4 - z + 3. Is 12 a factor of d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 + -73. Calculate the greatest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -276*d + 1104461 - 1104456 - 1258*d to f*d + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 30*p - 2. Let l(i) = 3*i + 18583. Determine w(l(r)).\nAnswer: 90*r + 557488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o + b, 0 = 5*o - 5*b + 10. Let c be o\/(-2)*(326 + 2). Is (c\/3)\/(12\/(-18)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1195 + 3*r + 2376 - 1187. Let t(b) = -9*b + 21. Let k(a) = 21*l(a) + 6*t(a). Let s(y) = -10*y**2 + 22*y**2 - 13*y**2. What is k(s(q))?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 - 15*o - 7. What is the units digit of f(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763 = 4*c - 9*z + 6*z, -3*c + 571 = -z. Let h = c + -187. Sort h, 2, -4, -2.\nAnswer: -4, -2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**4 + 11*u**2 + 11*u + 8. Let y(s) = s**4 + 3*s**2 + 3*s + 2. Let k(x) = -6*j(x) + 22*y(x). Differentiate k(g) with respect to g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**0\/u*u))**6)**0)**(-34))**20 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 4097 - 3*q**3 - 4097.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 4*q**4 - 2174*q**3 - 2 + 2174*q**3 + (-6*q + 2*q + 2*q)*(0*q**3 + q**3 + q**3) as o*q**2 + w*q**3 + k*q + j*q**4 + f and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-390)\/(-700))\/(-13))\/((14\/(-2))\/70)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8447 is divided by (-25)\/((-96)\/(-416)*(-3)\/9)?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaatagaatjaagaajg. Give prob of sequence ttj.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1472\/256 - (-3 - 2)\/(-1)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 4. Let k be o(0). Suppose -292 = -3*h - k*i, -i = 2*h - 231 + 28. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18*((-114)\/36)\/(-19). Suppose 2*f = a*q - 128, 3*f = -2*q - 4 + 85. What is the highest common divisor of 483 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + -46 + (123 - (-92 + 214))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -43\/15 (c) -2 (d) -2\/9 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/13125 and -67\/11550?\nAnswer: 288750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/23 + 13270*r\/23 + 1191008\/23 = 0. What is r?\nAnswer: -6544, -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16069?\nAnswer: 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**3\/3 - q**2 + 6*q. Let o(i) = -3*i + 3. Let t(v) = 4*h(v) + 3*o(v). Calculate t(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.444 + -8.444. Suppose 0 = 4*n + n + 20. Which is the second biggest value? (a) o (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8784263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eddj when four letters picked without replacement from duduejp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.77 - 33.27. Let w = y - -4.5. Let c = w + 28.03. Sort 3, c, -4, -3.\nAnswer: -4, -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(72\/(-66)) + 4\/(-6). Suppose 30 = h*q - 60. What is the smallest common multiple of q and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/12 - f. Let o = 0 - 0. Let u(g) = 0 + o - 4*g. Give b(u(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 775*r**2 + 4 + 195*r**4 - 4 - r**5 - 186*r**3 - 2339*r**2 - 397*r + 2725*r = 0. Calculate r.\nAnswer: -3, 0, 2, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113322 (base 8) to base 4.\nAnswer: -21123102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(44\/24) - -3. Let f = -276 + 573. Suppose -6*r + c*r = -f. What is r rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (-1 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3800\/49573 or 0?\nAnswer: 3800\/49573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-15) - -7)\/((-96)\/(-2016))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32249?\nAnswer: 7, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 75. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = -9. Solve -2*b = -j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173 (base 14) to base 2\nAnswer: 100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151387390.\nAnswer: 2, 5, 7, 11, 421, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:14 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/57 - (-26746)\/(-1634).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 (base 10) in base 8?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (7 - 0)) + (12 - -5) + 80 + -191?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*x - 45 + 2770*x - 49.\nAnswer: 2214*x - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 3 + 0 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 16*s**2 + 16*s**2 + 1 - s - 28*s**2. Let m(a) = a**2 + a + 2. Let v be m(0). Is c(v) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 times 0.19\nAnswer: -0.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-2))\/(1\/(-23)). Let h = -16 + z. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.13, -5125?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*c - 34*c + 1 to m + v*c and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + -3*(sqrt(1620) + 1) + (sqrt(1620) - (sqrt(1620) - (3 + (sqrt(1620) + sqrt(1620)*2 + sqrt(1620) - sqrt(1620))))))**2*-5.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millisecond in microseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-625))\/((-26)\/845*-13)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 7:17 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 19*f + 66. Give q(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.2. Let y = k - 0.18. Let d = y - -0.38. Sort 2, d, -5 in decreasing order.\nAnswer: 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -0.1343378.\nAnswer: 1.8656622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15649*b - 15584. Calculate u(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6862 minus -14456?\nAnswer: 21318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 58*f + 5*f)*(27*f**2 + 2443*f - 2443*f) as q*f**2 + o*f + v + g*f**3 and give g.\nAnswer: 1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 + 93178*k**2\/3 - 745400*k\/3 + 496928.\nAnswer: -(k - 186348)*(k - 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.1.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392*1.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -40462?\nAnswer: -40462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*x + 4*w, -x - 5*w + 3 = -13. Let d(z) = -7*z - 5. What are the prime factors of d(x)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(1 + 22\/8). Suppose o = 4*f + f. What is the derivative of -3*u**4 - u**4 - f + 0*u**4 + 2 wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -13, 11, 855 in increasing order.\nAnswer: -13, -4, -2, 11, 855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + -4*sqrt(468)*-2 + 1)*-3 + 1)**2*6.\nAnswer: 570240*sqrt(13) + 58244838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*n - 4404 = 9500 + 13345 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2004 and 1380.\nAnswer: 230460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z - 1. Let j(g) = -4*g + 3. Give 2*j(h) + 5*o(h).\nAnswer: 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -83. Put 2, -1, s in descending order.\nAnswer: 2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166 - 188. List the prime factors of -3 - (g\/(-99) + 83\/(-9)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9827, -9819, -9813, -9809?\nAnswer: -9807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 108?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 + f**2 + 5*f**2. Let s(v) = -2*v**2. Calculate s(h(p)).\nAnswer: -242*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791*q + 1495 = 792*q. Calculate the highest common divisor of q and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 1 + 5 = -2*v, -2*v = 4*a + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149746?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40 - 22 - 40*b - 22 + 2*b with respect to b.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c + 6. Suppose -5*p = 25, -2*p + 11 = -3*f - 3*p. Let l(y) = -6*y - 7. Let w(s) = f*l(s) - 3*h(s). What is the derivative of w(j) wrt j?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(170) - (sqrt(170) + (sqrt(170) - 4*sqrt(170)) + sqrt(170) + sqrt(170)))*1)\/(2*sqrt(640) + sqrt(10) - (sqrt(10) + sqrt(90)*-2)))**2.\nAnswer: 425\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 4. Suppose -j + 0*j + 4*m - 12 = 0, -3*m + 9 = 0. Let x(a) = 42*a + 15. Let w be x(0). Put w, -5, p, j in increasing order.\nAnswer: -5, j, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 21. Let j be h(-14). Let d(b) = -b**2 + 6*b + 16. Let x be d(j). Let l(v) = -v**3 + 10*v**2 - 8*v - 4. Give l(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*t - 1)*(t**4 + t - t) + 10*t**4 + 4*t**5 - 10*t**4.\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(3 + 1 + sqrt(208)))**2.\nAnswer: 240*sqrt(13) + 1972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -188200000 to the nearest one million.\nAnswer: -188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:32 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5 + 4 - m**2 - 10*m**2. Let j(z) = -5*z**2 + 4. Let x(h) = 4*f(h) - 9*j(h). Let p(g) = -5*g**2. Determine x(p(d)).\nAnswer: 25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.09.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, 32, 498.\nAnswer: -7\/4, 32, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 2059689242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 24*d**3 - 4*d**2 + 172*d - 2693. Is z(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 25 + 7 = 0. Suppose -p*c + 2*c = -12. Suppose c*t - 23 + 254 = 0. Which is greater: t or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2276676.\nAnswer: 2, 3, 63241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3013 or -3014?\nAnswer: -3013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -1 (c) 2\/11 (d) -0.1 (e) -44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onnononnoonn. What is prob of sequence onoo?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*i - 23*i**5 - 17*i**4 - 21 + 161*i**3 - 239*i**3 + 24*i**5 - 21*i - 46*i - 122*i**2.\nAnswer: (i - 21)*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.004 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 6 + 60*k + 5*k)*(2 - 4 - 5) - k + 6*k + 0*k + (-k + k + k)*(4 - 2 - 1) - 4*k - 3*k + 5*k as f*k + l and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/18)\/(275\/(-110))*26\/(-52)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, i: 5}. Give prob of picking 2 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 55*h = -19*s + 33*s + 86, -3*s + 5*h = -35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2*(-11 + 13) + -8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/180*(-15)\/(-40)*4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*x - 1. Let k be 75\/x*(-400)\/1. Suppose 0 = c - 0*c + k. Round c to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -47*j + 2. Let n(l) = -28*l + 1. Let q(z) = -5*n(z) + 3*u(z). Let o(b) = 2*b**3 - b**2 - 7*b + 6. What is o(x) - 6*q(x)?\nAnswer: 2*x**3 - x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**4\/6 + 248*g**3\/3 - 11312*g. Let j(y) = -2*y. Calculate j(u(n)).\nAnswer: -4*n**2 - 992*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -4 + 7 + -22. Let k = -17 - p. Suppose 2*g + 4*j = -8, j + 0*j = -g - 2. Solve 3*y + 9 = g, 0 = -5*z + k*z + 3*y + 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0412 - 0.3588. What is the closest to 0.02 in 1\/5, f, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkbkkbbkkkkkkkkkk. What is prob of picking 3 b and 1 k?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1) - 159 - 1. Let z(f) = 11*f + 466. Let c be z(-57). Is c >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12817719 and 1125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -46968, -5, 0, 2?\nAnswer: -46968","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(36)\/(sqrt(12) + sqrt(108)))**2 - 6*(1 + sqrt(3) + 0 + -2)**2.\nAnswer: -381\/16 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 q, 1 t, and 1 s when four letters picked without replacement from uqtsqttddttt.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 252050809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1610 + -1610. Put 4, q, 3, -3 in decreasing order.\nAnswer: 4, 3, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {b: 2, x: 2, p: 1, r: 5, z: 6}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -793 - -800.91. Let q = y - 3.91. Let f = -0.1 - -0.2. What is the closest to f in 1, q, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Let n(f) = f**3 - 4*f**2 + 5*f - 5. Let c be (20\/(-25))\/(1\/(-5)). Let g be n(c). Solve -g = -5*l + 2*k, -w*l + k = -6 - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -87*r**5\/20 - 179*r**4\/6 - 29*r. Find the third derivative of i(j) wrt j.\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-144)*-3)\/(3\/(-18)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58774254*w + 58774254*w - 10857*w**4)*(0 + 0 - 1) as k*w**3 + b*w + c + s*w**2 + r*w**4 and give r.\nAnswer: 10857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**3 - 2*t**2 + 2*t - 2. Let n be m(-3). Let q = -45 + n. Suppose 0 = -2*f + q*f - 16. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60187\/126 + -3299\/7. What is the common denominator of (188\/(-14))\/((-168)\/98) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2. Let r = -2 - 3. Let u(g) = -g - 1. Let n(o) = o**2 + o + 1. Let s(l) = r*u(l) - 5*n(l). What is s(a(k))?\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73949875, -147899755, -221849639, -295799527?\nAnswer: -369749419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = i, -232 = 3*f - 5*i - 264 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/402 + 6235\/1608. Calculate the common denominator of 114\/32 + (-10)\/10 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 8*m = 7, p + 5*m + 622 = 647 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 12 = -2*u. Calculate the remainder when 14 is divided by (u*1)\/(2\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 108. Let t be (2 - (x - 2))*1. Solve -2*h = -h - 3*d + 7, -3*h + t*d = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*y + 7. Let p(b) = -4*b**2 + 2*b**2 + 3*b**2 + y*b**2. Let q(l) = 2*l**2. Give q(p(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4*l**2 + 1 + 3*l**2)*(3*l - l - 4*l)*(-63*l - 10 + 10) in the form z*l**2 + u*l**3 + r + i*l + q*l**4 and give z.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9523, -19042, -28561, -38080, -47599?\nAnswer: -57118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n + 4*n + 2*n + (0 + 3 - 4)*(6*n - 2*n - 2*n) - 3 + 3 + 2*n + (-8 + 6 + 0)*(2 + 2*n - 2) as k + v*n and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -1 + 1\/5*v**5 + 0*v**3 - 3*v + 0*v**2 + 0*v**4. Differentiate b(f) with respect to f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1538773?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -324*j - 241*j + 62*j - 2666*j**2 + 8202*j**2 + 1 wrt j?\nAnswer: 11072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 328 - 308. Solve 0 = w + 4*w - n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*r = 25355. Suppose -4*a = 899 - r. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u + 9*u - u**2 + 15*u.\nAnswer: -u**2 + 37*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10629798 > -1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174053665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 195*w + 8569. Determine f(37).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 356, 10, 5, -4, -1273, 0, 4 in descending order.\nAnswer: 356, 10, 5, 4, 0, -4, -1273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 10) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 2*q + 2*q + (5 - 1 - 2)*(q + 0*q - 2*q) - 10*q + 2 + 19*q - 13*q.\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -0.149659?\nAnswer: 0.449659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 1415, -6, -4 in ascending order.\nAnswer: -6, -4, -3, 1, 1415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2823, 2821, 2819, 2817, 2815, 2813?\nAnswer: 2811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/24*(-6)\/(-240)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*k + 74*k + 58*k + 54*k - 5*k + 8*k**2 in the form z + p*k + i*k**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x - 19 + 2 = 33 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -458914, -459423, -459920, -460399, -460854, -461279, -461668, -462015?\n\"Answer: y**3 - 516*y - 458399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -17490.97.\nAnswer: -69963.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3867.\nAnswer: 3, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/2481347 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2270751*a**4 + 2*a**2 + 49*a + 163344.\nAnswer: -27249012*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 4. Let p = -5 + w. Let z(f) = -f**3 + 3*f**2 + 2*f + 1. What is the lowest common multiple of p and z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117.9 - -112. Let l = -0.03 - 5.97. Let m = f - l. Are m and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -0.8 (c) 2\/13 (d) -3 (e) -81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**2 - 7042*m - 163024 = 0?\nAnswer: -23, 3544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1782771 times 0.24\nAnswer: 427865.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2824218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5253.560171 to 1 dp.\nAnswer: -5253.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 41*i + 201. Let r be k(-5). Sort -21, r, 5, -3 in descending order.\nAnswer: 5, -3, r, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -49*q**5\/10 - q**4\/3 + q**3\/6 + 24*q. What is the third derivative of b(r) wrt r?\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458966629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*g**2 + 2*g - 475?\nAnswer: 20*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16.5767 (b) -3\/2 (c) -4 (d) 1\/42 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1, 16, 3, -59.\nAnswer: -59, -5, -1, 1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 1626?\nAnswer: 39024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 7*k**7\/6 + k**6\/60 + 305*k**3\/3 - 843*k**2. Differentiate j(c) wrt c.\nAnswer: 980*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56145 is divided by 18715.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**5\/20 + 5*x**4\/12 - x**3\/2 - x**2\/2 - 38*x. Calculate z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 times -259581?\nAnswer: -441287.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4579 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 7*z - 8. Let y be t(4). Suppose 0 = 5*u + 3*p - 2453, 4*u - y*p - 1980 = -2*p. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -250*v**3 + 319.\nAnswer: -750*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 60 = -3*y, -5*y - 216*d - 70 = -221*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 70, 60, 36, -8, -78, -180, -320, -504?\n\"Answer: -u**3 - u**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5323.5 * -6865\nAnswer: 36545827.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggzsjgs. What is prob of sequence sgzg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 66*y + 283. Let d be p(-6). Let i = d - -272. What is the highest common divisor of i and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 15*d - 25. Is m(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 3537689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 339 or -1914?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/72441 or 0?\nAnswer: 2\/72441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvxv when four letters picked without replacement from {v: 6, b: 12, x: 1}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(((a*a*a*a**(5\/7))\/a)\/a*a))*a)**(-31)\/(a**(-21))**(-4) assuming a is positive.\nAnswer: a**(-1177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-12) + (4 - 6327\/(-12)). Calculate the highest common factor of 30 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 84\/(-24))*(-4)\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10353 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + (-98 + 59 - 35).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -468391\/24 + 19519. What is the common denominator of 1\/(-2) - (-201)\/180 and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-2 - 2) + (-39)\/(-9)). Which is the nearest to z? (a) 6 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(((y\/(y\/(y*y**(1\/2))))\/y*y*y)\/y))*(y\/y**(-4))\/y*y**11*((y\/(y*y*y**4)*y)\/(y*((y\/(y*y**(-5)))\/y)\/y))**(-5\/2) assuming y is positive.\nAnswer: y**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76062238?\nAnswer: 2, 7, 5433017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 0 - 3*b + 9\/2*b**2 - 1\/6*b**3. What is the units digit of o(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10484 + -10485. Sort -0.117, -2\/13, -3, w, 1\/8 in descending order.\nAnswer: 1\/8, -0.117, -2\/13, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5241, 10756, 16775, 23550, 31333, 40376?\n\"Answer: 42*p**3 + 5221*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31724843 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*1*4)\/(sqrt(176) - ((-2*sqrt(176) - sqrt(176) - sqrt(176)) + sqrt(176)) - sqrt(11)).\nAnswer: 4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 502677410*i**5 - 28737964*i**2 + 2?\nAnswer: 30160644600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-4)\/6 + 2. Let t be 1 - b - (2 + 0). Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*k = -6*f - 4, -1 = -f - k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13016.79 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 193, 195?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 1634, 4713, 10238, 18911, 31434, 48509, 70838?\nAnswer: 99123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y**2 - 1254*y + 1. Let v(z) = 7*z**2 + z + 1. Give 2*s(w) - 2*v(w).\nAnswer: 2*w**2 - 2510*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 13*o**2 - o - 1. Let x be n(-1). Let d(p) be the first derivative of 76 + 6*p - 1\/2*p**2. Calculate d(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*y**4 + 10*y**4 + 5*y**3 + 2 - y**3 + 2*y**3 - 29*y**4 as x*y**2 + r + l*y**3 + i*y**4 + w*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -63. Let p be (0 - 3) + (2 - 4). Is 354\/u - (-2)\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 587\/5 - 117. What is the second smallest value in c, -7, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2574)\/12)\/(-33)*(-30)\/195*-13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuk when three letters picked without replacement from {r: 7, i: 2, k: 7, u: 3}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 301\nAnswer: -301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.51 take away 3?\nAnswer: -44.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -3\/5, 1.6, -2\/309, -5254?\nAnswer: -2\/309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2350\/13*a**3 + 1780\/13*a**2 - 16\/13 + 296\/13*a = 0. Calculate a.\nAnswer: -2\/5, 2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20231584 by -32.\nAnswer: -632237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 973523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + v + 16 = -4*v, -5*k = -5*v + 65. Let y(g) = 1 + 0 - 14 + 10*g + 2*g**2. What is the remainder when y(k) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64556.\nAnswer: 2, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (350\/(-1155)*-66)\/85.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 18*p + 54. List the prime factors of h(17).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-2*-6*-6.\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 28 = -5*p. Differentiate -7*u**2 - 28 - 2*u**4 + p*u - 28*u - 5 with respect to u.\nAnswer: -8*u**3 - 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17228811 by 2.\nAnswer: 17228811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178 or 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.2 * 199.65.\nAnswer: -9024.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694*r**2 - 158*r**2 - 141*r**2 - 135*r**2 - 151*r**2 - 137*r**2.\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 + 157*d**2 + 218 with respect to d.\nAnswer: 8*d**3 + 314*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5005 = -l + 8*l. Suppose 4*q - 3*q + 4*t = 345, -2*q - 3*t = -l. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d - 3*d)*(-4*d - 3*d - d + (1 + 1 + 0)*(-d - 2*d + d))*(-2 - 2 + 5)*(3 + 2 - 6).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b705 - 161?\nAnswer: -b866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 360647270*o**5 + 47361094*o.\nAnswer: 7212945400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -14*s**2 + 14*s - 14. Let j(w) = 5*w**2 - 5*w + 5. Let a(z) = 3*z**2 - 19*z. Let c be a(7). Let v be (-2)\/(-7) + (-18)\/c + -2. Give v*y(m) - 8*j(m).\nAnswer: 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbgbgyb. What is prob of sequence bbb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4006 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -681*h + 8697. What is k(13)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 49 = 4*s - 1, 5*s = 2*z - 50. Let g = z + -14. Suppose 5*k - g = -3*h, -25 = -4*h - 3*k - 3. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.2 (b) -232 (c) 0 (d) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1. Let h(l) = -9*l + 2. Give -h(s) + 4*u(s).\nAnswer: 9*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 3*a**2 + 4*a - 1. Suppose 12 + 6 = 2*y. Let r(d) = 5*d - 1. Let c be r(y). Let n be c\/8 - (-3)\/(-2). Determine p(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 165 (b) -5 (c) 29 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 65, -0.1, -2.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2. Let l(s) be the first derivative of 2*s**3\/3 + 4*s + 1. Let x = 11 + -15. Let n(i) = i**2 + 1. Let o(b) = x*n(b) + l(b). What is o(f(g))?\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**1\/d)\/d))**(4\/3))**(4\/35) assuming d is positive.\nAnswer: d**(32\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2) - (-2)\/(-4). Let g be (6\/9)\/((-8)\/60)*1. Put -1, z, g in descending order.\nAnswer: z, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyccyy. What is prob of sequence yy?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2331, -2336, -2357, -2406, -2495?\n\"Answer: -2*x**3 + 4*x**2 - 3*x - 2330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3 - 458324*y**2\/3 - 916654*y\/9 - 152776\/9 = 0.\nAnswer: -1\/3, 76388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (195\/105)\/(-13) + 5153\/7 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/sqrt(7) + (((sqrt(88) - (sqrt(88) - 3*sqrt(88)))\/sqrt(8))**2 - sqrt(11)) - (-5 + sqrt(1331) + -1 + -2)**2)*-4.\nAnswer: -708*sqrt(11) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2 + 68160*g - 68161 = 0. Calculate g.\nAnswer: -68161, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2. Let p(z) = 35*z + 5. Let f(a) = 18*a + 3. Let l = -70 + 73. Let b(h) = l*p(h) - 5*f(h). Give m(b(k)).\nAnswer: -450*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 4*s**2 + 7*s + 7. Let q be m(-5). Let n be ((-9)\/(-4))\/(15\/(-10)). Put n, q, 0 in descending order.\nAnswer: 0, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325130821 to the nearest integer?\nAnswer: 18031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000047277 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16993, 67965, 152909, 271813, 424665, 611453, 832165, 1086789?\nAnswer: 1375313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124792786 to the nearest integer?\nAnswer: 11171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 17, -2 in decreasing order.\nAnswer: 27, 17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1530 - -1758. What is the smallest common multiple of j and 16?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -12, -5, -41 in descending order.\nAnswer: 10, -4, -5, -12, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/119018304 and -77\/73152?\nAnswer: 119018304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, p: 4, r: 1, x: 2, d: 1}. What is prob of picking 1 d, 2 p, and 1 x?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 0.3, -2, 2, 96342, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/66)\/(-4))\/(-9*4\/324)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000022 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - t**2 - 1. Let s(x) = -71*x**3 + 63*x**2 + 63. Let f(k) = 18*k**3 - 16*k**2 - 16. Let h(v) = 9*f(v) + 2*s(v). Give -2*h(p) + 36*u(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(180) + 3) - (4*(-1 + sqrt(180)) - ((sqrt(180) - sqrt(180)*-2*1 - sqrt(180)) + sqrt(180))).\nAnswer: -18*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m - 9. Let k(j) = 3*j**3 + 5*j**2 + 4*j + 6. Let p be k(-3). Let q = -32 - p. What is the tens digit of v(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/20758 and -99\/132038?\nAnswer: 12807686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 30 - 8 - 28 - 7*a + 94.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31932.\nAnswer: 2, 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f*f*f**0*f)\/f)*(f**(-1\/4)*f)\/f*(f**1)**(3\/4)*(f**0)**(-6\/23)\/((f**4\/f)\/f**1) assuming f is positive.\nAnswer: f**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 32 + 28)*(-30*o + 0*o + 412 - 408) as t + d*o and give d.\nAnswer: -1590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3885196622 to the nearest one hundred thousand.\nAnswer: -3885200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9219258 to the power of 1\/2, to the nearest integer?\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y + 2*y)*(-12*y + 10 + 11*y + 4*y).\nAnswer: 3*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 108 (c) -130\/9 (d) -5 (e) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 4 - (12 + -4 + 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 + -19 + (-252)\/((-2)\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100033 + -4?\nAnswer: 100024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -19*g + 4. Let j(s) = -988*s + 209. Let l(c) = -4*j(c) + 209*z(c). Let o(v) = -5*v. What is l(o(b))?\nAnswer: 95*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, g: 2, c: 2, z: 1, i: 1, s: 1}. What is prob of picking 1 i and 2 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/6*(-4)\/(-9). Suppose -p*o = o - 15. Solve o*j = 4*m - 28, -3*m = -0*m - 3*j - 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-84) - (-2 + 82\/12). Sort 2, 4, 0, x in decreasing order.\nAnswer: 4, 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**2 + 12*h - 5. Let j be m(5). Suppose 0 - 1 - 51*u**2 - u**4 + 53*u**j = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -r + 295, 0 = 5*r - 3*z - 2*z - 1485. Suppose -5*q = -5*g - 330, -4*q + 0*g + r = 4*g. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*5\/(-3)*204\/(-425). Suppose 0 = -3*w - 2*p - 11, -p + 0*p - 2 = -2*w. Sort 2, w, -21, u.\nAnswer: -21, w, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**2 + 13. Let v(r) = 4*r. Determine m(v(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 32 = -4*k - 3*w, 0 = -3*w + 15. What is the lowest common multiple of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 1 - 3*h - h**2 - 4*h**4 to z*h**3 + t*h**2 + d*h + c + b*h**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4005 - 4030.284. Let u = o - 0.316. What is u rounded to zero decimal places?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1851215365 and 505?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -387.5 - -255. Let x = t - -132. Which is the biggest value? (a) -13 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + -4 + 21\/(-2) + 7. Let d = 4.47 + -1.47. Put d, l, -7 in increasing order.\nAnswer: -7, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, and 1 o when three letters picked without replacement from {b: 4, o: 7, l: 5, v: 3}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = z - 3*j, -2*z = -5*j + 1 + 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8421 is divided by 702?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, 8187, -210 in decreasing order.\nAnswer: 8187, 4, 1, 0, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 8. Let c be (-6 - q)*(-2)\/(-3). Put 0, c, -10 in ascending order.\nAnswer: -10, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/7861 and -40\/861.\nAnswer: 966903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 6*d**2 - 6*d + 7. Let b be f(-7). Let a be (b\/(-2) - 1)*(-7 + 3). Let j(i) = 4*i - 2. What is j(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41052 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6101304 and 19602?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 6*v**2 + 36*v + 84. Let o be x(-3). Put -3012, -2, o in decreasing order.\nAnswer: o, -2, -3012","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) + (-10)\/4. List the prime factors of 12 + (3*o)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7415, 7419, 7423, 7427?\nAnswer: 7431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/4, 6\/13, -11, 2\/101?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 at least as big as -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 3\/4 (c) 3 (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 1, k: 2, d: 1, b: 7, u: 1}. What is prob of sequence ub?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 383 (c) 2\/5 (d) 18.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/18 and -71\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -116570434214209?\nAnswer: 116570434214207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 566144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/18)\/((-30)\/36)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 5*t - 4. Determine s(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**6\/120 + j**5\/15 - j**4\/12 - 2*j**3\/3 - j**2\/2 + 3*j. Let p(h) be the first derivative of a(h). What is p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 6*t + 2*t - t - 5*t + 2*t + (3 + 0 - 2)*(-1 - 2*t + 1) + 0*t - t + 2*t - 2*t - 3*t + 6*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Solve -l + h = -o, -2*l = -2*o + l - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 9, 38, 67, 96, 125?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/456 and -107\/791160?\nAnswer: 791160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 1, f: 8, p: 1, l: 1, e: 2}. What is prob of picking 3 f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 338*d + 344*d + 85 - 1019*d + 339*d + 50*d**2 wrt d.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**3\/6 - 19*d**2\/2 + 194*d - 2. What is z(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/27)\/(1\/12))\/((-1112)\/1668)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = -3*t + x - 131, 2*t + 4*x - 196 = 0. Suppose l + 3*l = t. Solve -g + q = -4*q + l, -3*g = -q + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96459 and 8769?\nAnswer: 96459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -847973, -848004, -848055, -848132, -848241, -848388?\nAnswer: -848579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -3*5\/(15\/(-11)) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 9*s - 1372. What is k(43)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2192973, 4385939, 6578895, 8771835, 10964753, 13157643, 15350499, 17543315?\nAnswer: 19736085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, 0, -66, -53, 2 in decreasing order.\nAnswer: 9, 3, 2, 0, -53, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 917*i**3 - 532*i**3 - 7 + 4 - 35*i - i**2 wrt i?\nAnswer: 2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104025232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 22, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 2\/2*-7. Suppose 5*l - 1 = 5*w + 24, -d*l + w + 9 = 0. Let p(c) = c - 1104 + 2206 - 1102 + 2*c. Give p(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 536.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from nqssqiisiqnqq?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, -3, -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2 - (5 + (-12)\/1*1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**3 - 18*u + 37. Let a(d) = d**2 + 4*d + 1. Calculate the smallest common multiple of i(2) and a(-5).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 8:37 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/187 + -284\/2805. Let h be 25\/15 - (13 - (0 + (-2812)\/(-246))). What is the second biggest value in h, 0.2, a, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18369, -73465, -165289, -293841, -459121?\n\"Answer: -18364*u**2 - 4*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 261*m**3 - 530*m**2 - 22*m + 73. Determine c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*f = -17558 - 66674, -112291 = -4*b + 3*f. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -28*f + 171. Let g be a(6). Suppose 22999 = -5*b + s, 0*b + 4*s = -g*b - 13804. What is b rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16\/r**14)\/(r*r\/(r\/(r\/(r\/r**14)))*r*r**(1\/21)) assuming r is positive.\nAnswer: r**(-295\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-8)\/36) + -3. Suppose 0 = 11*c + 11*c - 264. Is 4 a factor of (88 + 0)*g\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*w - 15, -6 = 4*w + 3*a - 18. Solve -20 = 5*g + z - 4*z, 3*z - 12 = w*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 942\/(-156))\/(2\/(-8))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 - d**2 + 2. Let v(m) = 2*m**5 + 3*m**4 + 24*m**3 - 576*m**2 + 1. Let l(c) = -3*b(c) - v(c). What is the third derivative of l(g) wrt g?\nAnswer: -120*g**2 - 72*g - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 1908*u + 1904*u - 26, 4*r = 3*u + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -356274342 minus -0.151372?\nAnswer: -356274341.848628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19014 - -19193. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 9:28 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*s + 7*s. Suppose 9 + 10 = a. Find the third derivative of 10 + 9*j**4 - 5*j**2 - s + a*j**2 wrt j.\nAnswer: 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oorporrr. What is prob of picking 1 p, 1 r, and 2 o?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/(-204))\/((-56)\/(-84))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 36 + 9. Let k(b) = -b**3 - 10*b**2 - 10*b + 6. Let t be k(s). Suppose 3*r + 6 = t. Solve 4*o + r = 3*a, -3*a - a + 5 = -5*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2107185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -49. Suppose 9*y = j*y + 120. Calculate the highest common divisor of y and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29\/2 + -213\/14. Let i = -7 - -7.01. Let g = -0.49 - i. What is the second smallest value in -2\/3, n, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 5:49 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -1\/5 (b) 0.3 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 821447822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 407\/3897?\nAnswer: 407\/3897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23627 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4218 (b) 0.2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1776 and 83\/3688.\nAnswer: 818736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 11. Let w be i(5). Let t be (-19)\/57 - (-20)\/6. What is the highest common factor of t and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 83\/9. Let w = 74433.9 + -74434. What is the smallest value in 6\/11, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2676\/160)\/((-192)\/80) + 7.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymsuuuppbpyb. Give prob of sequence umuu.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 149329.5 rounded to the nearest 1000?\nAnswer: 149000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69747?\nAnswer: 3, 67, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -28934010414?\nAnswer: -28934010413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 (base 10) in base 9?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/60*-9)\/(3\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -48\/7, 5, 2\/19, 6, 3, 0.14 in descending order.\nAnswer: 6, 5, 3, 0.14, 2\/19, -48\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 4 + 4*c**3 - 2*c**2 + 2*c**2. Let i be 6\/4*(-64 + 62). Let l(p) = -3*p**3 - p**2 - p - 3. Let z(m) = i*l(m) - 2*o(m). What is z(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -5 - 4) + 11 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 7:05 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -617862 divided by 205954.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -14*s - 16, 0 = -4*u + 2*s + 8. Solve -4*p - 4*l = u, -2*p - 6 = -6*p - l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*g + 38*g + 336 = 0. What is the remainder when 31 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -3, -4 in ascending order.\nAnswer: -4, -3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.1. Let s = -1588 + 1593. Let l be (-1)\/(-2)*6\/8. Which is the nearest to m? (a) l (b) -2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/8 (b) -636 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 7*t - 10. Let o be 94\/(-10) - 2\/(-5). Let v be l(o). Suppose 17*p - 44 = -10. Solve 5*g - 25 = 2*w, g = p*w - w + v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 - 139*t - 2804. What are the prime factors of w(117)?\nAnswer: 63067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7424341165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4 - 2. Let d(n) = n**3 - 2*n**2 - n. Let y be d(3). Suppose 4*k + y = 7*k. Calculate the smallest common multiple of h and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.100832 seconds to days.\nAnswer: 0.00015163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -5\/9, 0.5, -28\/79, 6, -2\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40360 or 40503?\nAnswer: 40503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**3 + 0*u - 5*u**4 + 2*u + 140*u**2 - 309*u**2 - 1 + 146*u**2 in the form w*u**4 + x*u**2 + m + k*u**3 + p*u and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149895, -599624, -1349171, -2398536, -3747719, -5396720?\nAnswer: -7345539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1887 and 296?\nAnswer: 15096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -38. Let k = 55 - 79. Let c be (-9)\/4*k\/18. Solve y = -2*j + 3*n + 2*n, 0 = -4*j - c*n + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l + 3. Let k be j(0). Let p be (-4)\/6 + 32\/(-3). Let m = p + 11. Put k, -1\/5, m in decreasing order.\nAnswer: k, -1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - s + 2*s)*(-1 - 2 + 1) in the form x*s + p and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f = 4. Let k be (-4 - -3) + 3 + 1. Solve 0*o**2 - 3*o + o**2 - o**k + 4*o - f + 0*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4113101 (base 5) to base 4.\nAnswer: -100101123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -17*z**7\/210 - z**6\/120 + 59*z**3\/6 + 42*z**2 - z. What is the derivative of i(p) wrt p?\nAnswer: -68*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 2:19 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194879181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -375*l**8\/56 + l**6\/15 - l**4\/4 + 469*l**3\/6 + 1619*l. Find the third derivative of c(w) wrt w.\nAnswer: -45000*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a**3 - 23549*a**2 + 23549*a**2.\nAnswer: -23*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**3 + 3*u**2 - 3. Let l = 1 - 3. Let x(h) = 3*h**3 + 2*h**2 - 2. Let z = -78 + 81. Give l*y(w) + z*x(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177 + -177. Let l = 1\/1063 - 1065\/2126. What is the second smallest value in -0.3, 0.5, c, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 - 152. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/54 and -7\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*m + 57. What is the smallest common multiple of ((-264)\/(-32) + -11)\/(2\/(-40)) and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 50, 96, 160, 242?\n\"Answer: 9*l**2 + l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 27 = -5*s + 142, 0 = -4*s - 20. Let g be 4\/v*(4 - 2). Let o = 0 + -0.3. Put -0.4, o, g in increasing order.\nAnswer: -0.4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 7) + (-4 - -20) + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1711 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 171*d**5\/2 - 2147*d**3\/3 - 119*d**2 + 12. Find the first derivative of j(b) wrt b.\nAnswer: 10260*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammaaabbb. What is prob of sequence ma?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 2*v**2 - v - 2. Let y be w(-1). Suppose 8*c + y = 9*c. Solve 3*x + c = -3*z, 3*z + 0 + 3 = -5*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 360 = -k + 1027, 5*d = 3*k + 855. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - 0.96. Let d = 1 + l. Let w = 133 + -133.3. Which is the third biggest value? (a) d (b) -2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/25, 0.3, 7, 1\/9?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 11:16 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*x - 78*x - 13*i + 16 = 86*x, 2*i = -x + 10 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.8 - -137.8. Let g = k + -76. Let u = -40 + g. Sort 0.4, -0.1, u in increasing order.\nAnswer: u, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most as big as 70438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-36) + -1 + (-7)\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -15545*u + 77721. What is j(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -48. Which is smaller: d or 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8773, -74357, -252379, -599059, -1170617, -2023273, -3213247?\nAnswer: -4796759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/12 + 2\/(-8). Which is greater: h or 12\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14*q**2 + 33*q - 12. What is p(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.2 (c) -26.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49.5 or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5653, 14126, 22599, 31072?\n\"Answer: 8473*i - 2820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, m: 5, n: 3}. What is prob of sequence mntn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, m: 4, o: 2, y: 2, r: 7}. What is prob of picking 1 o, 2 x, and 1 m?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + ((sqrt(98) + 2)*-1)**2 + 4 + (sqrt(98)*-2)**2 + 2 + (1 + sqrt(98) - sqrt(98)) + -3 + 5)*-1.\nAnswer: -503 - 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*s + 298 = 0, 0 = 3*f - 4*s - 12 + 914. Let r = -24 - f. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, e: 2, u: 5, i: 3, x: 4, a: 1}. Give prob of sequence wea.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143 - -137. Let b(a) = -7*a - 3. Let h(p) = -4*p - 1. What is u*b(f) + 11*h(f)?\nAnswer: -2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2) + -27*(792\/162 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327549803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184483 * 2.\nAnswer: -368966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 y when four letters picked without replacement from ttztyzzzttt.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/71)\/((6\/36)\/(69\/207))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0518522 to 2 decimal places.\nAnswer: -1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 7*h + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u + u - 2*u + 4 - u. Let a(c) = c + 1. Calculate 4*a(b) - p(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66525, -132800, -199075, -265350, -331625, -397900?\n\"Answer: -66275*t - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7933 and 2214161.\nAnswer: 2206228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1620)\/(-84) - (0 - 6\/(-21)). Suppose -x - 99 = -4*l + 210, 5*x - 51 = -l. Calculate the highest common factor of c and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 79, -1, 6 in descending order.\nAnswer: 79, 6, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9852, -19946, -30030, -40098, -50144, -60162, -70146?\nAnswer: -80090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -643, -1062, -1867, -3184, -5139, -7858, -11467?\nAnswer: -16092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 3. Let a be b(14). Calculate the greatest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9062579 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 2*x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -284 + 2545?\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1380, -5514, -12406, -22056, -34464?\nAnswer: -49630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.26 - 0.97. Let p = q + 2.71. Let h = -3 - -4. What is the second smallest value in p, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = 0. Let h be -3 + 2 - (-2 - l). Solve -28 = -z + 5*p, h = -z - 4*p - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.93 + -0.07. Let y = 2 - 5. What is the closest to -1 in j, y, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14673 - 14594. Calculate the remainder when 486 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*v**4 + 10 - 10 + v**3 - v**3 - v**4 + (1 - v - 1)*(0*v**3 + 5*v**3 - 4*v**3) - 4*v**4 - 3*v**4 + 4*v**4 - v**4 + 4*v**4 - 4*v**4)*(-v + 5*v - 3*v).\nAnswer: -17*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 6*g - 3*g + 3942, -2362 = -3*z + 5*g. Suppose z = 5*b - 2*a, 2*a + 56 = 2*b - 262. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.165229 micrometers to millimeters.\nAnswer: 0.004165229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100011 - 1?\nAnswer: -1101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5917*r - 10876 - 41588 = 132551 - 7505 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(5) + 1 + -2*(2*sqrt(5) + sqrt(5)).\nAnswer: -5*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009766 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 650461376 to the nearest integer?\nAnswer: 25504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n - 2. Let f be n + (-10)\/(3 - 5). Suppose f*t = 3*t + 5350000. What is t rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n - 4 + 11*n + 35*n.\nAnswer: 93*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1967, -7889, -17765, -31601, -49403, -71177?\n\"Answer: -h**3 - 1971*h**2 - 2*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 710. Let u = t - 102. Calculate the greatest common factor of u and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 887, 883, 879, 875, 871, 867?\n\"Answer: -4*l + 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.03 + 0.03. Which is the fourth biggest value? (a) 1\/3 (b) n (c) 2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1174 and 20?\nAnswer: 11740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(10\/4 - 2). Find the second derivative of 6*r + 3*r**2 - 3 - p*r + 3 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/9, -4\/5, 10, 1\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + f - 6*f - 27 = 0, 0 = 2*s - 2*f + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -8. Let h = -3 + r. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 15*c**2 + 83*c + 11. Let j(g) = -7*g**2 - 42*g - 5. Give -9*j(m) - 4*q(m).\nAnswer: 3*m**2 + 46*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -48 - 50. Sort q, -3, -4 in descending order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156006.36 to the nearest 1000.\nAnswer: 156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 2. Calculate the remainder when 9\/p*(3 + 7) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000511 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 4. Let v(r) = -4*r + 5. Let z(s) = 5*c(s) + 4*v(s). Let l(g) be the second derivative of 2*g - 7\/6*g**3 + 0*g**2 - 466. Give z(l(f)).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 38*z + 244. Calculate v(-8).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7026\/59455 + 12\/1265. Suppose -2*p = -4*w + 4, -p - 10 = -5*w + 4*p. Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9174.97 to the nearest one hundred.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57602.\nAnswer: 2, 83, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/4 + 5*a**3 - 77*a**2\/4 - 121*a\/2 = 0. Calculate a.\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 3*u**2 + u + 1. Let x be k(-2). Let f = -9.5 - 57.5. Let l = f + 71. Sort x, 3, l in increasing order.\nAnswer: x, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10861, -28333, -57451, -98209, -150601, -214621?\nAnswer: -290263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 8*o**2 - o + 9. Let f be s(8). Calculate the smallest common multiple of ((-390)\/(-104))\/((-9)\/(-12)) and ((-3)\/(-3))\/f*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/19241280 and -199\/2766720.\nAnswer: 423308160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 36. Let y = h - -15.66. Let v = -0.34000038 - y. Round v to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*l = -736, 9*x - 2*l - 2263 = 6*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1022514 divided by 883.\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 357*a - 52600 + 93298 for a.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:58 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2841717.606596 + 6095.617896. Let g = z - -2835474. Let v = g + 148. Round v to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 2 - (-25)\/5. Let g(n) = n**3 - 7*n**2 + 7*n - 6. Let p be g(h). Suppose z - 1 - 1 = p. Let o(l) = -2*l**3 + 3*l**2 - 1. Give o(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = 0. Suppose -5*j + 20 = -r*j. Let l(n) = 2*n**2 - 4 + 0*n**2 + j. Let a(d) = 3*d. Determine l(a(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -16) + 53 + (-33 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 7*d**2 + d + 9. Let j be w(-7). Suppose 0 = j*r - 0*r. Suppose 2*l - 39 + 11 = r. Calculate the greatest common factor of 112 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2358134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11\/4)*(b\/b**(1\/6))\/b)**(-44) assuming b is positive.\nAnswer: b**(385\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 - 6) - (14 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 215 (base 9) to base 13\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010343831 rounded to six dps?\nAnswer: -0.010344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (13 + -2 - (-65 - -76))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 647 (base 11) to base 7\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -91*o**2 - 16*o - 104. Let h be p(22). What is h rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (2*sqrt(931))**2 + -4 + -4 + 3.\nAnswer: 3712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24 - (-1953)\/84)\/(-21*1\/32). Let y = 10 - 8. Factor -2\/7 - b*u**3 - 2\/7*u**4 - 12\/7*u**y - 8\/7*u.\nAnswer: -2*(u + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, g: 1, q: 3, b: 1, t: 3}. Give prob of picking 1 b and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24fb78 + 6a?\nAnswer: -24fb0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14108246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 5:51 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-96)\/6))\/((-4)\/272)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 14 + o**2 + o + 10 + 2*o**2 in the form l + n*o + z*o**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59830*j**3 + 27798*j**2 - 27798*j**2.\nAnswer: 59830*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njdj when four letters picked without replacement from {f: 3, n: 2, d: 1, r: 2, j: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/20*(-40)\/136*22\/(-33).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15344, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + (sqrt(2057) - (-1*sqrt(2057) + 1)))**2 + -4) + -5.\nAnswer: 880*sqrt(17) + 41195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 0.6926, -11?\nAnswer: 0.6926","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19831 - 202*i + 19831)*(-1 + 0 - 1)*(3 + 1 - 3) to w + h*i and give h.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 3. Let u(h) = h**2 + 4*h + 3. Let m be u(x). Find z, given that 6*z - 2*z + 2*z**m + 4*z**2 - 2*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 0*t + 3*t + 0*t**3 - 4*t.\nAnswer: -t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5, -0.186, 4\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41613 = 112*a - 15*a. What is the highest common divisor of 1053 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*p**4 - 60*p**2 + 2*p + 31*p**2 + 28*p**2 - 4 + 17*p**4 in the form u*p**3 + t*p**4 + x*p + a + z*p**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 124.\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -800 divided by 2.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 925676345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*s - 1 + 2*s**4 - 3 + 2*s**3 - 150*s - 23*s**2 to n + c*s**3 + t*s**4 + k*s**2 + w*s and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 555595614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d - 10. Let g(u) = -13*u + 2. Let a(i) = 4*i - 1. Let k(s) = -14*a(s) - 4*g(s). Is k(d) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1584) - sqrt(55)\/sqrt(5)*1) + (sqrt(11) + ((0 + sqrt(539))**2 - sqrt(11)) - (sqrt(99)*2 + sqrt(99) + sqrt(99))).\nAnswer: -sqrt(11) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*x - 10, 56*s - 123 + 98 = 2*x + 61*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q\/(q\/q**4)))\/q*q**(2\/7)*q)\/(q*q\/(((((q\/(q**7\/q))\/q)\/q)\/q)\/q)*q**3\/q*q) assuming q is positive.\nAnswer: q**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(-2)\/m)\/m**(-4)*((m*m**(2\/13)*m)\/m)\/(m\/(m*m\/m**(-6)*m))*(m*m**(1\/5))\/(m**(3\/4)\/m)*m**(3\/8)\/m*m**(-6) assuming m is positive.\nAnswer: m**(4149\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317861 is divided by 362?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 512349915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/4))**(-12)\/(t**(-5)*t*t)**(15\/8) assuming t is positive.\nAnswer: t**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -32, -156, -404, -818, -1440, -2312?\nAnswer: -3476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -974132 and 81.\nAnswer: -974051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -0.8.\nAnswer: -3, -0.8, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 + i - 1. Let z be ((-20)\/(-30))\/(1\/(-9)). Let m be z\/4*10\/(-15). What is r(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100773419 - 0.4.\nAnswer: -100773419.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123*f**3*s**4 + 4*f**3*s + f**3 + 12 wrt s.\nAnswer: -492*f**3*s**3 + 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1082 + -1081.6. Sort -5, v, -0.1, 4\/11, -2\/5 in ascending order.\nAnswer: -5, -2\/5, -0.1, 4\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y + 2 + 0 - 3. Suppose -10*t = -41 + 1. Let h be (-10 - -4)*1*2\/t. What is x(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 + -2312240340?\nAnswer: -2312240103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = 0, -2*v - 207 = -3*v + 5*o. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86442, -345833, -778172, -1383459?\nAnswer: -2161694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001475529 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**5 - 84801*i**4 + 2*i**3 - 2*i**2 - i - 83952 wrt i.\nAnswer: -120*i**2 - 2035224*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*g - 101*g - 5*r - 90 = 0, 2*r + 10 = 0. Solve 71*l = g*l + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 + -12 + 4 - (-1 - 1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-1)\/(-2)) + (-1654408)\/(-16). What is m rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x + 4*p, -2*p - 2*p = -2*x - 2. What is the units digit of 3 + -3 + 92 + x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 47. Suppose -c = -w + 7. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 5500687193728.\nAnswer: -5500687193731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.064 + -27.064. Let i = b - -26.91. Sort -2, 0.5, i in decreasing order.\nAnswer: 0.5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 7*k**2 + 8*k + 2. Let j be x(-8). Let h(z) = -14*z - 2 - 3 - j. Let s be h(-5). Calculate the greatest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/((-200)\/(-30)))\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 14*j - 17*j + 9 = 0, 55 = 4*j + 67 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1730083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49216*h**3 + h**2 - 2190.\nAnswer: 295296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y + 1\/5*y**2 + 3 - 2\/15*y**3. Factor l(b).\nAnswer: -2*b*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = w - 21. Let 0*c**5 + 16*c**3 + 4*c**4 - w*c**5 - 18*c**3 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**14*j)\/j**(-2\/15)*j**(-2\/9)*((j**19\/j)\/j)\/j assuming j is positive.\nAnswer: j**(176\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2811*j**3 - 27*j**2 + 12*j**2 + 16*j**2.\nAnswer: -2811*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**3*n**3*p + j**3*n**2 + 31*j**3*p**2 - j**2*n + 2*j*n**2*p**2 + 6907*n**3 wrt j?\nAnswer: 36*n**3*p + 6*n**2 + 186*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {e: 1, j: 1, f: 1, n: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40095, 40093, 40093, 40095?\n\"Answer: c**2 - 5*c + 40099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1147*f**2 - 2333*f**2 + 1148*f**2.\nAnswer: -38*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*c - 2*c. Suppose 0 = -3*j + c*f - 275, -4*j = 2*f - 160 + 550. Let w = j + 306. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + 2*w - 2*w + 3*w + w + (1 + 6 - 5)*(w - 4*w + 2*w) - 3*w - w + 5*w - 3*w - 3*w + 4*w)*(2*w**2 + 0*w**2 + w - 3*w).\nAnswer: 4*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**3 + 1\/24*i**4 - 3*i**2 + 0 + 0*i. Differentiate n(g) with respect to g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5598 + -5599. Which is the fourth biggest value? (a) -5 (b) -15 (c) 73 (d) 5 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 74216866?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 11904*c**3 + 11814*c**3 - 23719*c**3.\nAnswer: -c**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3002, -4, -37, 2 in decreasing order.\nAnswer: 4, 2, -4, -37, -3002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*d, 9*c - 4*c - 4*d + 41 = 0. Let i = -46492.6 + 46493. What is the closest to 0.2 in 3, i, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78161.78 millilitres?\nAnswer: 78.16178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 8*y - 3. Let q be o(-7). Which is the nearest to 0.2? (a) 0.5 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2876258, 2876256, 2876254?\nAnswer: 2876252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189504 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70897 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -5\/156*b**4 - 1\/390*b**5 + 0*b + 43*b**2 + 0 + 0*b**3. Factor t(f).\nAnswer: -2*f*(f + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9) + (-1)\/(-3). Let p = 1 + s. Suppose 0*c - 2 + 10*c**p - 6*c - 2 = 0. Calculate c.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 4:44 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - v - 14. Let o be a(-12). Let c = -94 - o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-11)\/176*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/52 + 1 + (-66)\/78?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/15 - 636*r**2\/5 + 9602*r\/15 + 3836\/5 = 0. Calculate r.\nAnswer: -959, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 4, j: 4, u: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0 - 1\/4*y**3 - 1\/80*y**5 + 3\/32*y**4 + y + y**2. Let c(s) be the first derivative of a(s). Suppose c(k) = 0. Calculate k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 8*d + 12. Let j be u(9). Let b = -18621\/149096 - 2\/18637. What is the closest to -1 in j, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -670 - 230*s - 668 + 357*s - 666 + 2004.\nAnswer: 127*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = s - 4*s, -5*s + 3*k - 17 = 0. Let o(u) = 1 - 6*u + 5*u - u + 6*u - 3*u. Let t(w) = 2*w**3 - 2*w**2 - 4*w - 2. Determine s*o(j) - t(j).\nAnswer: -2*j**3 + 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*p = -25, 2*p - 10 = -6. Put -0.2, -0.8, -2, w in descending order.\nAnswer: w, -0.2, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 193\/((-88780)\/(-60))*-230.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 34*z**2 - 14. Let x be j(-34). Let k = -3968\/3 + 1309. Are x and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 + 28 = 37*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n = -357859 + 1443003. List the prime factors of n.\nAnswer: 2, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*l + 40*l**2 - 121*l - 84*l**2 + 51*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103*z**2 - z**5 + 218*z**2 + 90*z**5 + 43*z**5 wrt z?\nAnswer: 7920*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1534332 divided by -17636.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w**2 + 7*w + 15. Let i be b(-4). Suppose 0 = 5*l + 4*f - 240 - i, -12 = -3*f. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 914703 to the power of 1\/2, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 445795 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 - (5 + (-11 - -11 - 13))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 - 25 = -2*m + 3*l, -12*m - 29*m = l - 1809 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 180610541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30387 and 7375359?\nAnswer: 4341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, y: 1, w: 2, h: 1, d: 1, q: 2}. Give prob of sequence qqy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/4)\/y*y**(-13))\/(y**(-16)*(y\/y**(-2\/19))\/y) assuming y is positive.\nAnswer: y**(87\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 105210400 to the nearest 1000000.\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10 - 52\/(-60) - 0. Let g = -49.6 + 57.6. Put 1, g, j in increasing order.\nAnswer: j, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 486?\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.4 (b) -1\/8 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 29*f - 1211. Calculate c(-22).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 1:02 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/75*(-10 - (-3 - -3)). Let k = z - -2\/3. What is the second smallest value in -0.1, 1, k, -4\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 3*u + 95182 - 95149, -48 = -5*z + 4*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 569723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, g: 12}. What is prob of sequence hgh?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20763.2, -4, 0 in decreasing order.\nAnswer: 20763.2, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -831 + 2014. Suppose -3*c = -2*p + 471, -3*p + 2*c = 2*p - j. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 10, -3*h = 2*h + 3*l + 125. Let m = 6 - -117. Suppose -5*c = -4*p - 82, p - m = 6*p + 4*c. Which is bigger: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -4\/7 (b) 1\/7 (c) 0 (d) -1 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -209*w**2 - 5*w. Let g(d) = 206*d**2 + 4*d. Calculate -6*g(f) - 5*r(f).\nAnswer: -191*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 3*a**2. Let u be p(-2). Let d(o) = -4 + o**3 + 5 + 0 + 5*o**2 + 4 + 6*o. Calculate d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by -4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1809, 1782, 1719, 1602, 1413, 1134, 747?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2623.98627 + 2624. Round q to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (54 + -64 - (-2 - 46)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5 - 0. Is 334\/10 - -2 - (-2)\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11975 and 2874?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -318, -7, -1, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*s + 25 - 9 = 0, 2*s - 9 = -3*w. Let h = -1 + 5. Suppose f + 105980 = h*k, 0*k = w*k + 25. What is f rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 29*j**2 - 15*j + 11. Let a(s) = -14*s**2 + 7*s - 5. Let m(g) = 13*a(g) + 6*u(g). Suppose q + 3 = -2*q. Determine m(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-51)\/(-322))\/(5\/10). Let t = -4\/23 + l. Let i = -20 - -19. Which is bigger: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 0*o**3 + 0 - 3*o + 1\/20*o**5 + 1\/2*o**2 + 0*o**4. Differentiate d(h) wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20614790, 20614793, 20614798, 20614805, 20614814?\nAnswer: 20614825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310154435 (base 6) to base 14.\nAnswer: 9cbc91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 9. Suppose 2*j + 12 = -z - z, 2*j + z + 12 = 0. Give g(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 + 2*z**2 - 7*z - 7. Suppose -82 - 98 = 83*o + 235. What is v(o)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 391 + 396 + 398 - 1185.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 - 27. Suppose -171*o + 286 = -160*o. Let i = k - o. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + i = -1, 32*l + 3*i + 2 = 36*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + d + 2. Let o(p) = 873*p**2 + 218*p + 6. Let n(y) = -o(y) + 4*q(y). What is the second derivative of n(w) wrt w?\nAnswer: -1762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -444 (b) -0.4 (c) -2 (d) 0.0184 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199280 divided by -80?\nAnswer: -27491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16568 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -187806 - -102\nAnswer: -187704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 16 = 22. What are the prime factors of ((-158)\/4)\/(p\/6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g. Suppose 0 = -3*y - i + 4*i - 18, -2*i + 16 = -4*y. Let h be p(y). Is h\/(-12)*(-117 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1357\/169 - -11875\/1521. Let s be ((-4)\/(-14))\/((-180)\/(-175)). What is the second biggest value in -5, -3, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/21606 and -43\/6648?\nAnswer: 86424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -0.1. Let h = s - -4.5. What is the nearest to 0.1 in h, -5\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-24) - ((-4)\/10)\/(30\/(-25))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -15. Calculate the remainder when q is divided by 1*(-8)\/12 + 11\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10121120002102 (base 3) to base 15.\nAnswer: 27de6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 411.674\nAnswer: -415.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -441, -443, -429, -393, -329, -231, -93?\n\"Answer: f**3 + 2*f**2 - 15*f - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let v(c) = 3*c. Let m(d) = -5*j(d) + 2*v(d). Suppose 5*x - 4*x = 0. Let g(r) = 0*r + 2*r + x*r. Give g(m(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 16420.\nAnswer: -16420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 1260*r - 95337.\nAnswer: -3*(r - 321)*(r - 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r + 2, -68 = -4*g - 4*r. Calculate the highest common divisor of g and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:36 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/17 + 36*g**4 - 10924*g**3\/17 + 19128*g**2\/17 + 126842*g\/17 - 7980 = 0.\nAnswer: -323, -3, 1, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1063\/2, -19 in ascending order.\nAnswer: -19, -2\/5, 1063\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4303251, 4303162, 4303015, 4302810, 4302547, 4302226, 4301847?\n\"Answer: -29*j**2 - 2*j + 4303282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15261273?\nAnswer: 3, 1695697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 421*o**6\/30 - 3*o**3 + o**2 + 229*o. What is the second derivative of k(w) wrt w?\nAnswer: 5052*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27560 and 852.\nAnswer: 5870280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/8 - -1*4. Suppose -2*a**4 - 5*a**2 + 10*a**2 - 5*a**2 - 4*a**m = 0. Calculate a.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-323)\/34)\/(1\/(-26))?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -827*t**2 + 827*t**2 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -90.1. Let g = -0.09 + 2.09. What is the third smallest value in 4, g, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:53 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (433 + 24626*v + 453 + 440 - 1761 + 436)*(0*v**2 + v**2 - 3*v**2) to the form o + t*v**3 + q*v**2 + d*v and give t.\nAnswer: -49252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*u = 781*u + 5248 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -0*v - 40315. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*k + 9, k = 5*z - 296. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 * 0.172\nAnswer: 27.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*k + 78*k. Suppose -2*j + 4 = k, v - 2*v - j = -24. What is the least common multiple of v and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31313395 divided by -5?\nAnswer: -6262679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*((6 - -2) + -3). Is z <= -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13417 bigger than 13417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 22*x**2 - 3*x - 58. Calculate h(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61986, 124010, 186018, 248004, 309962?\n\"Answer: -r**3 - 2*r**2 + 62037*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 152021415 divided by -4343469\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 7. Let q(m) = -m**2 + 15*m - 17. Let f be q(15). Let i(s) = -8*s - 20. Determine f*x(g) - 6*i(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 22*i**2 + 20*i - 68. What is w(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*w - 47*w - 59*w - 60*w.\nAnswer: -70*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55357*p + 54819*p - 107267*p.\nAnswer: 2909*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6 + g**2 + 5*g**2 + 14 + 5*g**2 - 11*g. Let j(b) = -b**2 - 9*b + 8. Let n(o) = o**2 + o - 1. Let d(k) = -j(k) - 5*n(k). What is -8*d(t) - 3*q(t)?\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*a + 9484, -9*g + 14 = -2*g. Is a >= -4741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1\/6 (c) -0.2 (d) -1359\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2550*o**4 - 91*o**3 + 423777*o**2 wrt o.\nAnswer: 61200*o - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 435 - 139 - 3*a.\nAnswer: -3*a + 363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3299, 3300, 3301?\n\"Answer: z + 3298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Let b be 0\/((-1)\/2*g). Suppose b - 4 = 2*h. Does h = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.059? (a) 128 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.178 + -0.078. Let t = 3 - q. Let f be (-3 + 69\/24)*6. Which is the nearest to t? (a) 0.5 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d - 3. Let i be x(-2). Let z = 1 + i. Suppose 0 = -3*w - z + 50. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 1. Let m(w) = -11*w - 24*w + 15 + 10. Let d be 9 - (-24)\/4 - 10. Let j(c) = d*x(c) + m(c). Determine p, given that j(p) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Let a = -7 - -11. Solve 4*f = -16, 4*p + 3*f + 24 - a = n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4394\/5 + -879. Put a, -1\/4, -1, -0.5 in decreasing order.\nAnswer: a, -1\/4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3498)\/(-66))\/106*40\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 32047661?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 take away -11140613?\nAnswer: 11141176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-18) + -2 - (51\/3 + 4945\/(-207))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47538787\/21 + -4526699\/2. Let z = l + -2649\/7. Find the common denominator of z and -65\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 425265.6 millimeters?\nAnswer: 0.4252656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4*r - 29 = -5*r, 4*r - 44 = -c - 73 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4)\/6) + (-3344)\/(-132) + -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2147630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4486 - 4459. Solve 0 = -4*x + 4*j - 16, -4 = v*x - 23*x + 2*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -28.9799. Round s to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 16. Let a be (0 - -2) + 0\/d. Solve -9\/4*f**4 + 0*f + 0 - 1\/4*f**a - f**5 - 3\/2*f**3 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 5:06 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -718*y + 266*y - 639*y - 46*y + (-y - 2*y + 0*y)*(0 + 0 + 5).\nAnswer: -1152*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5 + (-25748)\/10990.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -186 + 112. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3520369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 15*y**2 - 30*y - 40.\nAnswer: 5*(y - 2)*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 46*l + 16. Let r(p) = -33*p - 11. Let c(v) = -5*o(v) - 7*r(v). Determine c(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 23442800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*y + 24. What is the highest common factor of y and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.18*-90275\nAnswer: -196799.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 21*u**2. Let s(x) = 31*x**2. Let f(d) = 8*q(d) - 5*s(d). Let w(l) be the third derivative of l**4\/24 + 16*l**2. Determine w(f(k)).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4 + 16*p**3 + 10*p**2 - 100*p = 0. Calculate p.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34 - 11*q + 0*q - 9 - 80 wrt q.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26925665.\nAnswer: 5, 13, 414241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*y**3 - y**2 + 3 - 4 + 2 to a*y + f*y**2 + q + z*y**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21307 is divided by 47.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9*b = 230. Suppose 2*p = -4, o - 3*o + 5*p = -b. What is the least common multiple of 10 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2337 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -4*o**6\/3 - 67*o**2\/2 + 45*o. What is the derivative of r(u) wrt u?\nAnswer: -160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(187)\/(2*(sqrt(11) - sqrt(44)))*3*-6.\nAnswer: -45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 15. Let j = -12.91 + 13. Let v = j - -4.91. What is the second biggest value in v, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (27 - -2) + 0 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29066*z**3 - 6832*z**2 + 2*z wrt z.\nAnswer: -174396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -40*s**2 - 30*s + 168. Let m(v) = v**2 + 5*v - 1. Calculate -h(r) - 6*m(r).\nAnswer: 34*r**2 - 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-216)\/(-28)*(0\/(-4) + 21). Let p = v + -315\/2. Factor 3\/2*w**2 - p*w + 3.\nAnswer: 3*(w - 2)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17847414 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**3 - 2*b - 2. Let o be 6 + (-4 - -1) + -5. Let i(c) = -5*c**3 - 3*c - 3. Calculate o*i(v) + 3*f(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.91076ug to nanograms.\nAnswer: 89910.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -14424*d + 245410. Give g(17).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e769 (base 15) to base 10.\nAnswer: -48924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -162 or -1138\/7?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 6. Let h(x) = x - 14. Let d be h(18). Let l be k(d). Let g = 40 + l. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 8*k - 1. Let s(z) = -2*z**2 + 23*z + 3. What is 8*n(a) + 3*s(a)?\nAnswer: 2*a**2 + 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Let p(g) = 3*g**3 + 2*g**2 - 5*g + 1. Is 25 a factor of p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377741171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**4 - 7700*r**3 - 61804*r**2 - 100492*r - 46392 = 0.\nAnswer: -6, -1, 1933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87937 + -87934. Factor -22\/3*i**4 - 32\/3*i**2 + 128\/3*i + 0 - 24*i**l - 2\/3*i**5.\nAnswer: -2*i*(i - 1)*(i + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 91*n**2 - 3*n + 1. Calculate the remainder when f(2) is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/9 - (-9)\/3. Solve 0*o - k*o**3 - 2\/3*o**4 - 2\/3*o**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59490, 237927, 535256, 951423, 1486374, 2140055, 2912412, 3803391?\nAnswer: 4812938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 28. Is f at most as big as -2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 3*k - 13200000. Let x be -3*-3*115\/45. Suppose 18*p = x*p. Let u be l(p). What is u rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - -2*(-1 + sqrt(5) - sqrt(5))**2) + -4 + (sqrt(5) + (sqrt(125) - sqrt(5)))**2 + sqrt(5))*6.\nAnswer: 12*sqrt(5) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15006280 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -1. Let g = -1.3 - -6.3. Let u = 5.2 - g. What is the third biggest value in u, -2\/17, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 137\/106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92589781\/1943 + -47653. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xux when three letters picked without replacement from bxbbxqxxxoqxquxxbxu.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j**2 + 2*j - 1. Let x be t(1). Suppose -2*i + i + x = 0. Let m(v) = 2*v + 6. What is the units digit of m(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfff when four letters picked without replacement from {h: 4, a: 7, f: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 + 2)*(3 - 15 + 11)*((0 + 2*q**2 + 0)*(-2*q**3 + q - q) + q**5 + 2*q**2 - 2*q**2 + 2*q**5 + 2*q**5 - 5*q**5).\nAnswer: 56*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -4\/411203, -2\/11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*x = 1047, m + 45 - 252 = -2*x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 2*m - 3. Suppose -5*y + 180 = 5*a, 4*a + 1342*y - 142 = 1339*y. Calculate the smallest common multiple of j(3) and a.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1121 + 17?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from mrsurrm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.9 - -5.81. Let k = 47 + -47.39. Let r = j - k. What is the nearest to 1 in -1\/2, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 10. Suppose 5 + 11 = 8*n. Suppose -5*h = -n*z + 24, 20 = -h - 4*h. Suppose 2*i + 0*i + z = 0. Let g(b) = 1. Determine i*t(f) - 8*g(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000010101100000111100 (base 2) in base 15?\nAnswer: 8603a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q + 1. Let l be (-38)\/(-14) + 2\/7 - (41 + -38). What is w(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 8) to base 13\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kskpt. What is prob of sequence stp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2.2, -0.1 in descending order.\nAnswer: -0.1, -2.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/6 - (-1)\/2. Suppose -5*u - 3*d = 19, -s - 2 = -2*d. Let w be (2\/3)\/(2\/u). Which is the closest to 0.1? (a) -0.1 (b) -2\/23 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11*(-24)\/792 - (-14)\/6. Solve h*v - 5*f = -f - 4, f - 6 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, d: 10}. Give prob of picking 2 q.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/4 + 111\/(-333) and -26*((-30)\/(-14) - 2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.203508 - 0.8561. Let h = 0.38653 - n. Let i = h - 0.039. Round i to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 34076300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 469.92 - 484. Let c = 14 + m. What is the closest to c in -1\/5, 0.1, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 599037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -865 by 5.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 85*y**2 + 44*y - 76. Let r be b(42). Solve -r*a + 10 = -22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b**2 - 166 - 11*b**2 + 166.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, -6, 3, -0.01, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1746057 - -2?\nAnswer: 1746059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*u = -0*u - 9, 2*u = -10. Suppose -k*r - 13 + 13 = 0. Solve -g - 3*z - 14 = r, 4*z = -0*z - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 = 152*f - 399 + 198 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/2540 and 89\/10?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 152849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1403\/6 + 209. Let z be (12\/4 - 3) + -3 + 5. What is the common denominator of (100\/104)\/((z\/(-4))\/(-1)) and c?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -2 + 1 + 21 + -12. Calculate the greatest common factor of l and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(7\/3))**(-4\/9))**(2\/21) assuming v is positive.\nAnswer: v**(-8\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aofe when four letters picked without replacement from {a: 1, f: 2, e: 9, o: 6}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*i = 21*i + 3*i - 14*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.34 - -1.3. Put 0.1, 0.2, t in descending order.\nAnswer: 0.2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7559\/2 (b) -6\/23 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4457*r**5 - 5*r**2 + 701.\nAnswer: 267420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -47, -130, -255, -428?\n\"Answer: -v**3 - 12*v**2 - 4*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-180))\/(6324\/5270*((-11)\/4 + -1)).\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (727\/(-2908))\/(((-327)\/8)\/(-3)). Which is the biggest value? (a) 0 (b) -0.4 (c) 2\/11 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -49*x + 4 + 15*x + 16*x - 58*x. List the prime factors of d(-2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + i. Let v(s) = -5*s**3 + 5*s**2 - 5*s - 1. Let w(h) = 6*n(h) + v(h). Give w(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + 5 + (2*sqrt(1700) + 4 + (sqrt(1700) - sqrt(1700)*1)*-5)**2 + 4 + 2).\nAnswer: 160*sqrt(17) + 6830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.022 - 0.542. Let z = -0.62 - w. Let q = 2.9 - z. What is the closest to 1 in q, -2\/17, -0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 6. Let h be 415\/55 - (-60)\/(-110). Determine z(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/13, 428, -5, -1\/4 in descending order.\nAnswer: 428, 16\/13, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2123211002313 + -2?\nAnswer: -2123211002321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 96296406*p - 772749817376403.\nAnswer: -3*(p + 16049401)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1711.\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-2475)\/230) - 12\/(-15).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 33098424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3844, -7808, -14416, -23668?\n\"Answer: -1322*t**2 + 2*t - 2524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 15042068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(2 + -3 - -1). Suppose -2*m + 6*m - 8 = y. Suppose -5*p + 6*p + 7 = m*z, 0 = z - 3*p - 11. Solve j + 2 = 2*j - u, 4*u = -z*j - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*h + 35*h + 96 = -41*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*o + 0*o - 14*o as m + u*o and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*1)\/((-16)\/2088). Let a = -141 - p. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(44) + sqrt(88)\/sqrt(2) + sqrt(44)))\/(sqrt(48)\/(sqrt(12) + sqrt(108) - sqrt(12))) + 2)*-4.\nAnswer: -216*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 774205572 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*b + 5*b - b)*(-3*b**2 + 4*b**2 + 0*b**2).\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.14130365 rounded to 3 dps?\nAnswer: -59.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = 5*s - 414. Let r = s - 233. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 1, h: 2, o: 2, x: 6}. Give prob of picking 1 h, 1 o, and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (385\/(-22) + 16)\/((-21)\/(-308))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 70*(9 + (-267)\/30)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/9*0 + 7. Let m = 8 - o. Is 2\/2*(24 - m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 e when three letters picked without replacement from ttvttmmmzmttzmtetm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36899 or 36921?\nAnswer: 36899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5770, 5766, 5760, 5752, 5742, 5730, 5716?\nAnswer: 5700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 2*n + 1. Let m be u(-1). Let t be (1 + 0)*m*1. What are the prime factors of 5\/((-30)\/32)*t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = -39*m - 7*m + 354 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**2 - 3*d + 5. Let u(h) = -18*h**2 - 5*h + 9. Determine 5*t(q) - 3*u(q).\nAnswer: 14*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 963\/7 - 138. Suppose -9*h + 4*h = 100. Let p be 15\/100*(h\/24 - 0). What is the closest to 0.2 in p, b, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 339458.534 + -0.0165.\nAnswer: 339458.5175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 31, 87, 197, 379?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5862950 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -800\/9 - 256\/3*r - 2\/9*r**4 + 82\/9*r**2 + 16\/3*r**3 = 0.\nAnswer: -4, -1, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 9*j**2 - 18*j**2 + (0 + 0 - j**2)*(-7 - 1 + 5) to the form q*j**2 + b + f*j and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(616)\/(sqrt(891) - 2*sqrt(891) - sqrt(11)))\/(-4*(sqrt(1152) + sqrt(1152)*1) + sqrt(1152)).\nAnswer: -3 + sqrt(7)\/840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7*a - 5*t - 435 = 0, 5*t = 5. Let x = 125 + -81. Calculate the greatest common divisor of a and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yky when three letters picked without replacement from {a: 4, y: 8, k: 1}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 650 = -686. Solve 2*x - 2 = -2*a + 4, 5*x = -2*a + f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-207)\/(-21) - (-12)\/(-14). Solve d = -2*k - k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 1)*17\/3. Let b(k) = k**2 + 1. Let u(q) = -q**2 + 49. Let w(o) = 2*b(o) + u(o). Let x be w(0). What is the greatest common divisor of h and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 + 3.06. Let r = -8109 + 8108.7. Put 0.01, b, r, -3 in decreasing order.\nAnswer: b, 0.01, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.00675 - 17. Round z to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (465\/4)\/(12\/48). Let o be (22\/33)\/(((-5)\/222)\/5). Let c = i + o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k - 2*m = -3182, 0 = -3*k + 2*m + 9522. Let j = k + -22189\/7. What is the common denominator of j and -29\/170?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -18313511\nAnswer: -4\/18313511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43763\/10318 - -20\/737. Let b = c - -19\/7. Are b and -9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223*c**2 + 24*c + 1 wrt c.\nAnswer: 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178895?\nAnswer: 5, 37, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -20*q**2. Suppose 4*d + 28 = 2*d. Let i(x) = 7*x**2. Let t(k) = d*i(k) - 5*p(k). Let v(f) = 8*f**2. Calculate v(t(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 47292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 + 252 = -14*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -x + 1446, 5*x + 661 - 7919 = 3*s. List the prime factors of x.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**3 - 112*c**2 + 3*c + 136. Calculate the remainder when 1759 is divided by v(28).\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, -6, -2\/7, -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*b*l*y + 19*b*l - 126*b*y + 2*b + 2*l*y + 10*l - 2*y - 6 wrt l.\nAnswer: -30*b*y + 19*b + 2*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 724306187 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3958593 or -3958506?\nAnswer: -3958593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 7229 = 77193. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.111 (c) -0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -218 + 218.2. Let i = -8 - -8.3. What is the nearest to -3\/7 in r, i, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k + 22*k - 44*k. Let g(f) = -6*f + 3*f**2 + 6*f. What is m(g(b))?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weevg. What is prob of picking 1 g and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (41 + -121 + 26)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + 107?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128939, -128826, -128711, -128594, -128475, -128354, -128231?\nAnswer: -128106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 k when three letters picked without replacement from hupkkhhpkuhohhhhhuo.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - o - 2. Let w(z) = -z**2 - 1. Let l(h) = -3*i(h) + 5*w(h). Let x = 0 - 0. Suppose 4*d = 5*v - 16, -3*v + x*v = 0. Calculate l(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 + 2*l**4 + l**4 + (l**4 + 4*l**4 - 4*l**4)*(3 + 0 - 4) + (653749*l - 966*l**3 - 653749*l)*(0 + 0 + 2*l)*(1 - 4 + 4).\nAnswer: -1934*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 4*l + 16, -4*f = -9*f + 3*l - 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46356 by 655.\nAnswer: 46356\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**4 + 0*s**4 + s**4 + (-119*s**2 + 63*s**2 + 58*s**2 - 121*s)*(-s**2 + 0*s + 0*s) as o + m*s**3 + d*s**4 + b*s**2 + r*s and give m.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 2*o + 2. Let k(c) = c**3 - 5*c**2 + c - 3. Let w be k(3). Let s be ((-4)\/(-6))\/((-3)\/w). List the prime factors of u(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 2:05 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**6\/60 + h**5\/30 + h**4\/6 + 22*h**2 + 3*h. Suppose 0 = 6*s + 11 - 29. What is y(s)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 141*n**2. Let p = -21 - -30. Let h(j) = -31*j + 10*j + p*j + 10*j. Determine o(h(a)).\nAnswer: 564*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*k + 45 = 0. Let m(j) = 3*j - 14. Calculate the remainder when 61 is divided by m(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1040580?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/3, -76, 0.02, -7, 2\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Suppose -i + 4*m + 42 + 82 = 0, j = -5*m - 15. Suppose 4*o = 2*z + 2*z - i, -2*o = -3*z + 87. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2239, 4463, 6643, 8755, 10775?\n\"Answer: -4*o**3 + 2*o**2 + 2246*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11831 or -11832?\nAnswer: -11831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/6068 and 3\/164?\nAnswer: 6068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 + -12111111002?\nAnswer: -12111101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -17. Suppose 5 + 0 = -4*h - s, -s = -u*h + 5. Suppose 4*d - 5*p - 102 + 15 = h, -5*p = -5*d + 105. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/237 and -61\/36.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 24*x + 1176 = 0. Let t = -362 + x. Solve -t + 10 = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.053973 and 0.5266?\nAnswer: 0.0284221818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d - 3 - 151 = 0. What is the units digit of 6\/(-42)*6*d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12399025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/((-2)\/(-20)*4\/(-10))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -q + 2*f + 11, 0 = -3*q - f + 28. Calculate the remainder when (42 + (-3 - -2))*1 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 18*x**2 + 4*x - 11. What is the remainder when 72 is divided by v(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -446435.695 less than 175?\nAnswer: 446610.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -883, 3, -2, 380 in descending order.\nAnswer: 380, 3, -2, -883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -99873, 0.4, 6\/5, 1\/4, 2, 3\/4 in descending order.\nAnswer: 2, 6\/5, 3\/4, 0.4, 1\/4, -99873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54013141.\nAnswer: 7, 13, 84793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/22099 - -66293\/44198. Sort h, 1\/3, 4, -4326.\nAnswer: -4326, 1\/3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -56. Let r be 10*3*2\/(-4). Let b = r - -81. Calculate the greatest common factor of h and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 k when four letters picked without replacement from kkaaaaaaaaaaaaakaa.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 11*a**2\/2 - 1382. Let f(n) = 8*n**2. What is g(f(w))?\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -20277040 to the nearest one hundred thousand.\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = -y, 7*y - 2 = -2*m + 2*y. Let j be (m\/2)\/(2\/4). Let i(n) be the third derivative of -3*n**5\/20 + n**4\/24 - n**2. What is i(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 8*j - 4. Let a(u) = 5*u**2 + 39*u + 21. Let r(n) = 2*a(n) + 11*q(n). Let x be r(-7). Calculate the highest common divisor of x and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -1020 + 100. Let o = -89 + t. Calculate the least common multiple of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l + 218 + 45*l - 9*l - 26*l.\nAnswer: -22*l + 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5 + 1. Let c(h) = 7*h**2 + 2*h - 2. Let j be c(-2). Find the second derivative of q*b - 5*b + j*b**5 - 7*b wrt b.\nAnswer: 440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/9*90\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a century in months?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 0*s**2 + 0*s**2 - s)*(-7*s - 2 + 2)*(-64*s + 84*s - 80*s).\nAnswer: -420*s**5 - 420*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*j + 6. Let h be (0 + 2)*4 + 16\/(-12). Factor 2 + h*l + j*l**2.\nAnswer: 2*(l + 3)*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341529433 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10608 - 10598. Solve 2*c + w = -2*y, 0 = 2*y - 7*y + c + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0*i + 154. Suppose h + 1 = 3. Suppose -3*q = -h*q + 5, -47 = -3*f + q. Calculate the greatest common divisor of i and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.27148 millennia in centuries?\nAnswer: 132.7148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-100)\/(-239640)*10\/(-25). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/700264 and 27\/12810712.\nAnswer: 217782104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 11\/2 + 0. Let y = -5 + k. Solve y = -4*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6 = -19, -4*y - 3*k + 11 = 0. Which is the closest to 0? (a) 0.4 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -55. Which is the fourth smallest value? (a) 0.3 (b) 3 (c) s (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3768209067 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, -29, -1\/2990?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3102 = -222*r - 1326 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*w = -2*n - 64, -w + 4 = 0. Let p = n - -26. Solve 3*d - 6 = 0, 4*u - 6*u + 4*d = p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -210*x + 3171656 - 3156746 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/17)\/d*d)\/(d\/(d**(1\/4)\/d)))**(-33) assuming d is positive.\nAnswer: d**(3531\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07734 * -0.3.\nAnswer: 0.023202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**5 + 49*t**4\/5 + 7*t**3\/5 - 61*t**2\/5 + 8*t\/5 + 12\/5 = 0.\nAnswer: -1, -2\/5, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1392 = -5*b - 82*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:15 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 12*g + 7*g + 7*g**2 - 8*g**2.\nAnswer: -g**2 + 24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 13) in base 15?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 115 + 5 - (4 - 3). Suppose -8*p - 7 + h = 0. What is the remainder when 83 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 - 6045*v\/2 + 9068\/3.\nAnswer: -(v - 1)*(v + 18136)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 - 1376*o + 81472 = 0. Calculate o.\nAnswer: 76, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 32*o**2 + 2*o + 45. Let h be v(-4). Let i = -548 + h. What is the nearest to 1 in -9, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -4*z**7\/15 + 22*z**3\/3 - 64*z**2. What is the derivative of s(w) wrt w?\nAnswer: -224*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-8 - (17 + -3 + -5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/30 and 111\/27586750.\nAnswer: 82760250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 286\/(-8) + 1\/(-4). Let u = n - -67. Suppose r = -4*a + 20, -2*r - u = -2*a - 11. Solve -o + 4*j = -17, -3*o + j = a*j + 34 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 12486301 = 12488296 for g.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 122*h**2 + 2100*h + 463. Calculate p(21).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - -12. Suppose -18*a = 27 - 207. Calculate the greatest common divisor of z and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2968*r - 5702. Calculate b(2).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18531*k*r**4 + 24*k*r - k + 35*r**3 + r**2 - 24587*r wrt r?\nAnswer: 222372*k*r**2 + 210*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -597, 5, -2 in decreasing order.\nAnswer: 5, -2, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 68\/(-10) + 2\/(-20)*2. Suppose -2*x + 68 = -2*l, -1 = -3*x + 2*x. What is the lowest common multiple of 26 and (-3 - l\/21)*w?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 8*t**2 - 2 + t**2 + 6*t**2 + 2*t. Let d be i(2). Suppose d*j = j - 1. Sort 4, j, -1 in descending order.\nAnswer: 4, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0.8. Let y be 4\/16*-2*0. Suppose y = -5*l - l. Which is the nearest to -1? (a) t (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 8 - 7 = 0, 0 = 2*q - i + 8405. Let s = q - -7808. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -66, -62, -58, -54, -50?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 29*s**2 - 561*s + 29. What is the remainder when b(20) is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211951, -211949, -211947, -211945, -211943?\nAnswer: -211941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:21 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522.54 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1085 or 3259\/3?\nAnswer: 1085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 348006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61353179 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55446821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -4, 26.6, -55, -3.\nAnswer: -55, -4, -3, -2\/7, 26.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/7)\/t)\/((t*(t*t*t**(-4\/7))\/t*t)\/t))**(-3\/38) assuming t is positive.\nAnswer: t**(24\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-2 + 15\/9). Suppose -n = -5*y - 6. What are the prime factors of y\/(-3) + 11 + 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**7\/840 + j**6\/360 + j**5\/120 - 3*j**3\/2 - 6*j. Let a(f) be the second derivative of h(f). Give a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/57105801 and -101\/36?\nAnswer: 228423204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3728462\/15 + -248670. Let h = -106 - z. What is the second smallest value in -2, -4, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, -56, -4 in descending order.\nAnswer: 18, 4, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 675, 1351, 2027, 2703?\nAnswer: 3379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*h = k + 1, k + 4*h - 5 = 0. Let u be (-101)\/k - 24\/(-42). Is (-38)\/(-285) - (-6643)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1257\/2)\/(9\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 8\/5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/50 and 22\/675.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:10 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 13*a - 43. Calculate n(-13).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7 = -18. Let d = 11 - 9. Let x be (232\/(-224) - (-4)\/14)*-4. Solve 20 = -3*p + 5*j, x = -5*p + d*j - v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 6. Let i be (-6)\/s + (2 - 1). Let l(y) = 3*y**i + 0 + 1 - 5*y**3 - y**2. What is l(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - c = -5*p + 31, 4*p - 25 = -c. Let f = 766 - 1333. Calculate the remainder when ((-1)\/(-3))\/((-7)\/f) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -1 (c) 7592\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 93 = -318. Suppose -2*y + 25 = 3*y. Suppose -3*f = -3*m + 2*f + z, -181 = -4*m + y*f. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**2*o - c**2 + c*o + 13846263*c - 258656713*o wrt c?\nAnswer: 4*c*o - 2*c + o + 13846263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 986.3394 milligrams?\nAnswer: 0.0000009863394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7370 and 32026.\nAnswer: 1761430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*x**4 + 60*x**4 - 22*x**4)*(-1 - 1 - 4) + 0*x**4 + 0*x**4 + 2*x**4.\nAnswer: -376*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 108.4 and -287.\nAnswer: -31110.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 - 161*v\/3 - 3000.\nAnswer: -(v + 72)*(v + 250)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49172.\nAnswer: 2, 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 1 = -19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243 and 3015.\nAnswer: 81405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 7*m**5\/60 + 4*m**2 + 17. Let z(x) be the second derivative of c(x). Let y(d) = 2*d. Determine y(z(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1.04. Let c = -1.8 + 2.8. Let t = c + k. What is t rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, -525, -1605, -3193, -5271?\n\"Answer: 3*k**3 - 281*k**2 + 268*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00528543 to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-6) - 1\/2. Suppose 2*t + 0*t - 8 = i. Let q(o) = o**3 - 5*o**2 + 4*o. What is q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4443 - 2416 + 1433 + 2951)*(-5*w + 3*w + w) in the form y*w + g and give y.\nAnswer: -6411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-28)*-2)\/((-3)\/12)*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from iivciiiiviciiiicuiui.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-546))\/(2682\/(-18774)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {g: 5, j: 1, k: 11}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(11) + -2 + sqrt(77)\/(sqrt(21)\/sqrt(3)) + -4.\nAnswer: -6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (68\/(-10))\/((-2)\/45). Let a be 34\/2*(1 - 0). What is the highest common divisor of a and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 7:01 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57.164 or -98\/17?\nAnswer: 57.164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260\/195*(-17)\/((-204)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -5, -0.4, 4.6, -68?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -73)*8\/5. Let x = p + 113. Suppose -m + 2*m - o - 3 = 0, m + 4*o + 2 = 0. Which is the biggest value? (a) x (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 13*k - 5. Let y be l(-13). Sort 5, -1, y.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (-9 - (3 - -7 - (-59 + 66)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38121526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**3 - q**2 - 2*q + 3. Let o = -37 - -32. Let a(g) = 5*g**3 - g**2 - 2*g + 2. Let i(u) = o*a(u) + 4*f(u). Let s be i(2). Solve 3 = -z - s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = 9*q - 9805. Suppose q = 4*v - 714. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 589806 and 138309507.\nAnswer: 276619014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22253070 (base 8) to base 13.\nAnswer: -cc3809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 26*s**2 - 27*s - 1. Calculate y(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7493 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-2)\/(-6)*4. Let v = 45 + -9. Calculate the greatest common factor of v and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 124*k - 3309240. Is k a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-7))\/((-3156)\/(-5523))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 786.3558 months to years.\nAnswer: 65.52965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 22215*b + 199980. Calculate a(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f. Let d(n) = 14*n + 3. Give m(d(s)).\nAnswer: -140*s - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/8 and -97\/2244302.\nAnswer: 8977208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -194 + 306. Suppose 4*l - z = 116. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = 5. Suppose 5*n - 2 = a*n. What is the units digit of -5 + 8 + n\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 693 and 1179886.\nAnswer: 817660998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b + 5. Put 4, -4, b in descending order.\nAnswer: 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.8 in -1\/5, -1\/28, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/12 + 7*k**4\/24 - 409*k**3\/6 + 2*k**2 - 13*k. Differentiate o(b) with respect to b.\nAnswer: -10*b + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + f, 2*f = 2 + 6. Suppose -j*n - 47 = -147. Calculate the remainder when 38 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/20358 and -29\/468.\nAnswer: 40716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/2*217*35\/(-245)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -37 + 3*p**2 - 3*p**2 + p + 128 + p**3. Let u be k(0). Let s = 22 - 9. What is the greatest common factor of u and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14668 or 278707\/19?\nAnswer: 14668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3168 is divided by 1004.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.31678 - -792.81678. Which is smaller: j or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 7616?\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*j = -44, 5*j = -h + 8 + 9. What is the derivative of -h*c**2 + 12*c**2 + 2 - 3*c**3 wrt c?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(6\/(-39)*-13)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1174 * 0.5\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b = -754*b - 390*b - 43549 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 14) to base 5\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*(-4)\/(-8) - -2. Let c = 8 - m. What is the nearest to 2 in 1\/2, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 25. Solve -2 + 4*g**5 + 4 + 6 + v*g**4 - 19*g**3 - 26*g**2 + 3*g**3 = 0.\nAnswer: -2, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*21\/(-42)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20566.\nAnswer: 2, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 244, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -680*-1145\nAnswer: 778600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 6*c**2 - 5*c + 1. Let n be h(-6). Let g be 10\/(-4)*(-2)\/1. Suppose -2*j + 3*a + 17 = -0*a, -g*a - n = -4*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 15790*q**2 - 15788*q.\nAnswer: -2*q*(q + 1)*(q + 7894)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p + 180 = 0. What is the units digit of (-1)\/3 + 10\/p*-1370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 233*w**2 - 5. Let a(n) = 117*n**2 - 3. Determine -5*a(f) + 3*d(f).\nAnswer: 114*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 76*f**2 + 5. Let s be o(0). Solve s = -8*u + 21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-495)\/(-72) - 3\/(-24). Suppose o*p - 1936 = 752. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3230*g**3 - 25*g**2 + 1?\nAnswer: 19380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/12 + 5*j**3\/6 - 9*j**2\/2 - 10*j. What is o(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.82385 - -9.956. What is h rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-622)\/(-12) - 2\/(-12) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.236 - -0.026. Let d = 604 - 606. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/327 + -97\/1962. Is r > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 10:47 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x + 2 = 0. Let f be x*(2\/(-1) - 11). Calculate the highest common divisor of 52 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1322250 and 92250?\nAnswer: 3966750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(5 - 4) - -1. List the prime factors of ((-2)\/(-4))\/(c - 1524\/(-760)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 641*j**2 + 58830*j.\nAnswer: j*(j + 111)*(j + 530)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*g - 1 + (-3 + 1 + 0)*(-2*g + 0*g + 4*g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 130734 - -4?\nAnswer: 130738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.3, 1.4, -1\/2, 3, -2.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**4\/5 + 184*k**3 + 25986*k**2\/5 - 5336*k + 6728\/5.\nAnswer: 2*(k + 58)**2*(2*k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1907 - -2417. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25202 and -1221603.77.\nAnswer: -1246805.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d - 5*h - 5, 41 = 4*d - 3*h. What is the remainder when 25 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/115 and 43\/105.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014671 is divided by 507135.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {q: 2, l: 1, z: 2, d: 1, h: 1, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 16*k + 28. Let d(u) = -4*u**2 - 8*u - 14. Let q(c) = -3*c**2 - 9*c - 3. Let x(g) = 2*d(g) - 3*q(g). What is -5*a(b) - 7*x(b)?\nAnswer: -2*b**2 + 3*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*g - 9 - 0, 0 = 3*t - 3*g + 6. Let h be ((3 - 3) + t)\/(2\/(-4)). Suppose h*k - 139 = 61. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -259229 to the nearest one thousand.\nAnswer: -259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1968475242513 and -306.\nAnswer: 1968475242207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 5. Let r(o) = 12*o - 15. Let u(t) = -11*m(t) + 4*r(t). Let w be u(-4). Let b be 4 - 1 - w\/7. Which is bigger: 25\/4 or b?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b - 3629 - 1565 = 0. Calculate the remainder when b is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 - -1365658?\nAnswer: 1365735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let z(a) be the first derivative of -a**5\/40 + 2*a**3\/3 - 1. Let p(y) be the third derivative of z(y). Give p(g(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*w - 42 + 28*w - 308*w.\nAnswer: w - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1480 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 4*c + 2. Let x be g(-5). Find the third derivative of 2*b**3 - 123*b**2 + 111*b**2 + x*b**3 wrt b.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -5*b + 4*f, 0 = 4*b + 4*f + 36 - 124. Let l = b - 19. Suppose 361 = l*g + 76. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2411320 (base 5) to base 6.\nAnswer: -542225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*a - 32*a**3 + 69*a + 33*a**3.\nAnswer: a**3 + 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:10 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-6 + 0 + 0)) + 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = 125. Let w = o + -16. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Suppose 3*z - 2*z + 2*r = 18, 5*z = w*r + 102. Let i = z + -17. What is the smallest common multiple of i and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 474*s - 534*s - 1200 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23134541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**3 - 91*t**2 + 179*t + 4. What is m(2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l + 57. Let d be f(-4). Suppose 3*x = 0, -2*x = -u - x + 2. Determine y so that -u*y**3 + 76*y - 74*y + 4 + d*y**2 - 9*y**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8863607933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 11*j. Let r(y) = -35*y + 558. Let s(q) = -9*q + 124. Let z(m) = -4*r(m) + 18*s(m). Calculate o(z(c)).\nAnswer: -484*c**2 + 242*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 10516?\nAnswer: -157740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, m: 1, l: 4}. Give prob of picking 3 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -15, -0.2, -6, -23 in ascending order.\nAnswer: -23, -15, -6, -0.2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or -82?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*x + 3. Let t = 14 + x. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/17)\/l*(l**(-19)\/l)\/l)**(-15\/2))**(-15) assuming l is positive.\nAnswer: l**(-83925\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51.4 + -45. Let c = -1.4 + g. What is the third biggest value in -5, -2, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/30 - 1)*-2. Let s = -189 + 413. Let q = -228 + s. Which is the third biggest value? (a) z (b) q (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxkxnkxknqk. What is prob of picking 2 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170721168 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-3 + sqrt(605) + sqrt(605) + sqrt(605) - (2 + 1 + sqrt(5)))**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -173, 2, 0 in decreasing order.\nAnswer: 2, 5\/4, 0, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -23 - (-1 + 4)) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 1. Let o(q) = -5*q - 10. Let j(v) = -4*k(v) - o(v). Let b be j(-10). Let u be 0\/b*(-2)\/(-4). Solve 0 = 2*h + 5*r + 31, 2*r + 0*r + 10 = u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241 and 13476961?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 w when four letters picked without replacement from {w: 3, n: 4, o: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 39*i - 432. What is c(-47)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (660 + -4 - 0). Suppose 2*m = 3*v - r, -3*v + 7*m = 4*m - 654. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 30 = 6*z. Let t(q) = -q - 3. Let c be t(z). Factor c*f + 3\/2*f**2 + 0 - 3\/2*f**3.\nAnswer: -3*f*(f - 2)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/224 and -7\/16.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*y + 65*y - 36*y - 6, 3*x - 3*y - 21 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72699140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 10*j - 5. Suppose 8*p = 5*p - 4*l + 16, 2*l = -2*p + 8. Suppose -4*o + p + 20 = 0. Is 9 a factor of n(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n - 4*h = -24*n + 14, 2*n - 5*h + 2 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/24 + 11*a**3\/6 + a**2 + a. Let g(f) be the first derivative of r(f). What is the units digit of g(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382186611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 103, 224, 391, 604, 863?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4986 - 5969 = -472*s - 99 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, 5, 1, -225, -1 in ascending order.\nAnswer: -225, -4, -1, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {g: 3, w: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 11:28 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/259? (a) -5 (b) -3 (c) 6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 43a7a?\nAnswer: -43a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-27)*3\/(-12)*-2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(2\/111))\/g*g\/g**(-6))\/((g**(-4\/9)*g)\/(g\/g**(18\/5)*g)) assuming g is positive.\nAnswer: g**(9701\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 66341033 (base 7) in base 3?\nAnswer: 101201222021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Let t = -1 - b. Let u = 9 + t. Sort u, -6, 0.5.\nAnswer: -6, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, t: 7}. What is prob of sequence aata?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -2742\/19, -6\/89, 0.2 in ascending order.\nAnswer: -2742\/19, -6\/89, 1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*x + 232*x - 8 = 0. Let k be x\/3*33\/44 - -3. Solve r + 5*m + 9 = 1, -4 = k*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t - 3*d = -1, -2*d = 6. Suppose -26 = 4*a + 3*o - 9, -3*o - 7 = -a. Sort a, t, -4 in decreasing order.\nAnswer: a, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 985956 and 5529?\nAnswer: 1817116908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 754692 and 1464.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/11 + 711770*l**3\/11 + 2*l**2\/11 - 711770*l\/11 = 0 for l.\nAnswer: -1, 0, 1, 355885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**4\/2 - 486*f**2. Let u(x) = -13*x. Determine -6*j(g) - 5*u(g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*m - 17 = 117, 119 = 4*r - 3*m. What is the least common multiple of 364 and r?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/95, 0.4, -5, 15 in increasing order.\nAnswer: -5, -3\/95, 0.4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51400 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(27\/2)*k**19 assuming k is positive.\nAnswer: k**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (-5 + 10)) + -1 + 59 + -126.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 2*p**2 + 3*p - 2. Let s(c) = c**2 + c - 1. Let a(z) = 4*j(z) - 10*s(z). Let q(y) = 16*y**3 + 9*y**2 - 9*y - 9. Determine -9*a(d) - 2*q(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*(2 + -3))\/(20\/230). What is the second derivative of -18*x - 6 - v*x**2 + 14*x + 9 wrt x?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - r + 10. Let u be y(3). Let w(t) = -t + 1. Let k(s) = -6*s + 6. Give u*k(a) + 11*w(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/14)\/(1*10\/35). Solve 2*m + 6 = p*g + 25, 0 = -2*m + g + 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132\/7*y - 1872\/7 + 2\/7*y**2 = 0. Calculate y.\nAnswer: -78, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 35 = -13*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12676 - 12673. Let a(k) = -11*k**2 - 4*k + 5. Give a(m).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2678\/(-8) - 6\/24. Let l = q + 341. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16740222.\nAnswer: 2, 3, 1163, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -7\/24*k**4 + 0*k + k**2 + 9 - 1\/60*k**5 - 1\/3*k**3. Let w = 2 + -9. Determine g(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/((-8)\/(-32)). Factor 2 - 6*g**2 + 4*g**3 - 4*g - h + 6*g**4.\nAnswer: 2*g*(g - 1)*(g + 1)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a**4\/3 + 82*a**3\/3 - 254*a**2\/3 + 48*a + 96 = 0. Calculate a.\nAnswer: -3\/4, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/13 and 29\/15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.1 (b) 444998 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 8*t - 4. Let o be d(-6). Suppose -185 = -3*x - 185. Suppose x = 4*p + 2*p + 6*p. Solve -5*r = 3*j - 31, 5*j + r + r - o = p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -54. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/4*k**3 - 3\/2*k + 3\/4*k**2 = 0. What is k?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 7, -2\/9, 5, -137 in increasing order.\nAnswer: -137, -2\/9, -2\/11, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -12222850 at least as big as -12222850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwwxwxwxxwhxxxxxwxx. Give prob of sequence dxx.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 - (1 + 12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.4506 litres in millilitres?\nAnswer: 856450.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31b2b1 (base 14) in base 5?\nAnswer: 412320434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/7, 142 in descending order.\nAnswer: 142, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, v: 6}. Give prob of picking 3 h.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 13. Let y be c(-11). Suppose 0 = -4*h - 20, -5*i + y*h + 45 = h. Suppose -l = -i*l + 70. Calculate the least common multiple of l and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -675\/23, -14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/152412827 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbddbbbbbb?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*w - 8, 2*p + w = 6*w - 7. Let v(f) = -f**3 + f**2 + f + 1. Let n(d) = -24*d**3 + 6*d**2 + 7*d + 7. Let t(l) = n(l) - 6*v(l). Give t(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4467 - 4463. Solve -q*h + g + 1 = -10, h - 4*g = 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 780 and 24646035?\nAnswer: 1281593820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - (-37)\/(-4)) + 3\/(-4). Let u be 1 + 6*(-9)\/a. Calculate the greatest common divisor of u and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -318, -1337, -2356, -3375, -4394, -5413?\n\"Answer: -1019*g + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17 + (-36)\/9)*23. Suppose 3*d - 2*g = 3459, d + k = -2*g + 1452. List the prime factors of d.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.7 - 29.629. Let g = 0.029 + d. Which is smaller: -72 or g?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -69.9. Let u = m + 2.6. What is the second smallest value in 4, 2\/3, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13758, 54849, 123332, 219207?\nAnswer: 342474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.196 and -4?\nAnswer: 0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x**2 + 4*x**2 - x**2)*(118 + 196 - 373)*(2 - 1 - 3) + x**2 + 3*x**2 - 2*x**2 to the form p + l*x + s*x**2 and give s.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7307 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14638 - 144583837.\nAnswer: -144583837.14638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 210\/140*(1\/(-6))\/((-18)\/12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138954 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590759 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y + 2. Suppose 0 = -4*x + 16 - 12. Let v be (-9)\/(-15) - (x + (-48)\/20). What is r(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiimiiiiiiimmmii. Give prob of sequence mi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31055, 31071, 31105, 31163, 31251?\nAnswer: 31375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 4*w**2 - 2. Let g be q(4). Let n(b) = -b**3 - b**2 + b + 1. Let k be n(g). Let t = 6 - k. Put 0.1, t, -2 in descending order.\nAnswer: t, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2241.365 decades to centuries.\nAnswer: 224.1365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -10, 5.\nAnswer: -10, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(9\/4)*q*q**(1\/14))**(5\/6) assuming q is positive.\nAnswer: q**(155\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q + 5 = 28*q - 4*a, 20 = 4*q - 2*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g - 1. Let j be r(-6). Let b = -273\/5 - j. Let m = 3.01 - 3. Which is smaller: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452075*w = 452729*w + 79600 - 24664 for w.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - x**4 - 2*x**3 + 35 + 25 to the form v*x + c*x**4 + l + a*x**3 + f*x**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/16 or -2\/255?\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-3) - -1) + 5. Let c(d) be the first derivative of -d**6 + 4*d**5 - d**4 - 2*d**5 - n + 2. Solve c(t) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Find the common denominator of (o\/(-3))\/((-28)\/(-438)) and 2\/6*213\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 532184 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59565, 119113, 178661, 238209, 297757, 357305?\n\"Answer: 59548*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - i**2 + 9*i - 7. Let j be f(-4). Suppose 0 = -9*h + 6*h + 3. Calculate the greatest common divisor of h and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 + -120 + (-18)\/(-2) - 16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4*s**(-9)*s*s\/(s\/(s**0\/s))*s*(s\/s**(-1\/3)*s*s)\/s*s)**(-43))**(-7) assuming s is positive.\nAnswer: s**(-602\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98593.31 millilitres in litres?\nAnswer: 98.59331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -2 - 1) + -19 - (-16 - (-3 + 68)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11) - 6*(sqrt(11) + sqrt(176))) - (sqrt(68)*4)\/sqrt(4)*2.\nAnswer: -233*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112111011211 (base 3) in base 4?\nAnswer: -3013113202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 + 20*z**3 + 10*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxrps. What is prob of picking 1 p, 1 x, and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342907040.\nAnswer: 2, 5, 7, 306167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104 + 1 - (-21 - -34 - 23 - 11)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/(-6)*18\/16.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 16. Suppose -5*x = -3*d - 4*x + 9, -5*x = 5*d + 5. What is the highest common factor of r and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 5:57 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99043361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2348, 124, -113 in descending order.\nAnswer: 2348, 124, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + a**2 - a + 3. Let w be x(0). Suppose -2*d - d + 42 = 0. Suppose y - 1 = 5*s - d, 4*s - 5*y - 23 = 0. Is w at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 39 = 3*c, -59923349*j + 5*c = -59923353*j + 61 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -13861 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i = -24. Suppose -s - 10 = -i*s. Suppose 7 = -b + s*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = i + 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1067939?\nAnswer: -1067939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 505*t**3 - 14115*t**2 + 1824505*t - 1809890.\nAnswer: 5*(t - 79)**2*(t - 1)*(t + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/3 + 488*b**4\/3 - 52304*b**3 - 157886*b**2\/3 + 156911*b\/3 + 52466 = 0.\nAnswer: -709, -1, 1, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y - 29. What is t(0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -686.8, 4, 1, -0.13, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Suppose -2*w + w + 5*s - 30 = b, 0 = 2*w + 5*s. Let j be (-2)\/(-4)*4\/w. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 13.1, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.85. Let u = 181.083 + -181. Let h = i + u. What is h rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -121, 1, -4, -0.5, 1597\/60?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -40, -37, -34, -31, -28?\n\"Answer: 3*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 >= 1.62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1232 and 564784?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 31, 65, 121, 205?\n\"Answer: o**3 + 2*o**2 + 5*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g + 13*g + 2*g + g - 3*g + 3*g + (3 + 1 - 3)*(-2*g + g - g) + g + 2*g - 4*g - 3*g - 8 - 6*g + 7*g.\nAnswer: 16*g - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70392 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/(-510) + (-2)\/(-12). Suppose 24 = -4*v + 20. What is the second smallest value in v, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 - -1198508?\nAnswer: 1198246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 7*d**2 + 9*d + 10. Let g be z(5). Let h be (-253)\/(-115) - (-4)\/g. Factor 1\/6*q**4 - 1\/3*q**h + 1\/6*q**2 + 0 + 0*q.\nAnswer: q**2*(q - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q = -m + 20*q - 3, -5*m + 2*q + 19 = 0. Suppose -5*i + 2*r = 5, 25 = 2*r + m*r. What is the smallest common multiple of 872 and i?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5229 = -16*p - 5*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 45. Let o be y(-12). Let g be (6\/4)\/(o\/(-152)) + -2. Differentiate 8*z**2 + 45 + 5*z**2 + 19*z**g with respect to z.\nAnswer: 64*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012221120 (base 3) in base 5?\nAnswer: 2344301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (70\/7 - (-1 - -13)) + 16\/7. What is the third smallest value in i, -16.9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24209604 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1\/4444, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j. Let i(k) be the first derivative of -k**5\/30 - 21*k**2\/2 + 2. Let w(y) be the second derivative of i(y). Calculate n(w(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*a + 2*a + a)*(3*a + 0*a - a) + 17*a - 17*a - a**2 + 6*a**2 - 7*a**2 + 14*a**2)*(2*a**3 - 29 + 3*a - a + 8).\nAnswer: 20*a**5 + 20*a**3 - 210*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3) + 2 - (-2147)\/(-339)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -13*z - 64830, 0*n = -3*n + z + 48605. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(144) + (2*sqrt(144) - sqrt(144)))\/sqrt(9)*5)\/(sqrt(16)\/(-2*sqrt(18) + sqrt(18))))**2.\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 10:03 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*h + 14*h + 19*h)*(4 - 4 + 2*h + (0*h - h + 2*h)*(-1 - 3 + 2) + 0 + 0 + h + 9 - 94*h - 18 + 11).\nAnswer: -465*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -4092, 960.\nAnswer: -4092, 47, 960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*x = 29, 7 = -h + 4*x + x. Let f = h + -8. Let o be 1 - (-2 + f) - -5. Put o, -4, -3 in decreasing order.\nAnswer: o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 4*x**2 - 6*x. Let d = 64 - 34. Let w = -35 + d. Let g be o(w). What is the greatest common divisor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3)*(-5)\/(-5). Let g(m) = -2*m + 1. Give g(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/2 + 1242*b - 257094.\nAnswer: -3*(b - 414)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s**3 + 2*s**2 + s. Let x be t(-1). Let f = -7 + x. Suppose -f*w + 3*w + 60 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/13826460 and -55\/188?\nAnswer: 13826460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmtr when four letters picked without replacement from rtmtwwrrcmriwcrtrcrm.\nAnswer: 21\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6157469*g**2*m + 6548003*g**2 wrt m.\nAnswer: 6157469*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + j. Let n be f(0). Solve -4*s - s = n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**27\/((r\/(r**(-2\/5)\/r))\/(r*r**(3\/17))) assuming r is positive.\nAnswer: r**(-2399\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 10*r + 448*r - 24.\nAnswer: 438*r - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 32*d - 104. Let a(f) = 10*f - 33. Let p(m) = -10*a(m) + 3*t(m). Let l(w) = -w + 6. Calculate 10*l(z) - 3*p(z).\nAnswer: 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.25 to the nearest integer.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 3) to base 7.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from momnm. Give prob of sequence on.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102)*6 + sqrt(102))\/((sqrt(18)*-1)\/sqrt(3)) - -5*(2*sqrt(102) + sqrt(102))\/sqrt(6)*-6)**2.\nAnswer: 106097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g - 9 = -7*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(2*r - r**2 - 2*r) - 217 + 116*r**2 + 214 - 114*r**2 + 47*r to the form u + p*r**2 + f*r and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 10*a + 7. Calculate the remainder when i(8) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264321 + 12952365\/49. Which is smaller: 14 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-6))\/(54\/(-3645)) and 43\/29.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 36392541261\nAnswer: 36392541261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(513))\/sqrt(3).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112001032 (base 4) to base 2.\nAnswer: -10110000001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-28 - -16) - (-6 + -2 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 - 475 = 132*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141302 is divided by 1756?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f. Let x(u) = -7*u. What is 7*o(c) - 3*x(c)?\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -24 (b) 3\/2 (c) 1\/2 (d) 0 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1539 + 2700 = 17*z - 2001. Calculate the highest common factor of 868 and z.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 - 1 - 5 + 3.\nAnswer: -12*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 19. Let g(v) be the second derivative of v**5\/20 - 2*v**4\/3 - 5*v**3\/3 + 3*v**2\/2 - 108528*v. Calculate g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0643 - 0.9357. Let w = 4.1 - 0.1. Let d = -21 + 19. Which is the second biggest value? (a) w (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/5, -38\/9, 1\/5, 28, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -281, -277, -299, -359, -469, -641, -887, -1219?\n\"Answer: -2*o**3 - o**2 + 21*o - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -379\/42. Sort o, 1, -3\/8, -2\/3.\nAnswer: -2\/3, -3\/8, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(110)*2*-5 - -5*(sqrt(110)*2 - sqrt(110))))\/(sqrt(250)*-3 + (sqrt(30) + sqrt(180)\/sqrt(6))\/sqrt(3)).\nAnswer: -15*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i + 2. Suppose 0 = 9*v - 0*v - 54. Suppose v*m - 8 + 14 = 0. Calculate s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 266*n**3 + 3*n**2 + 2*n - 2. Let h be o(-2). Let w = 852 + h. Let d = 10061\/8 + w. Find the common denominator of d and 79\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/293903 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 + -136.98. Which is the nearest to g? (a) -2 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 37354*c. Let p(y) = -3*y**2 - 251. Give w(p(t)).\nAnswer: -112062*t**2 - 9375854","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216 + 215. Let f(j) = -16*j**2 - 8*j - 6. Let y be f(c). Let g(m) = 2*m + 31. Determine g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 12*w + 30. Give o(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, z: 1, k: 3, i: 4, a: 1, m: 1}. Give prob of picking 1 a, 1 i, and 2 k.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00298636035 rounded to four dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 7*r**2 - 6*r + 2. Let m(f) = f - 16 + 2*f + 7 - 12. Let q be m(9). Let t be p(q). Solve t*d - 12 + 2 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 98 + 154 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16021064 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a kilogram in grams?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, u: 5}. What is prob of sequence uuu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -1\/15*x**6 - 8\/15*x**3 + 2\/5*x**5 + 1 - 3\/5*x**4 + 8\/5*x**2 + 0*x. Factor m(s).\nAnswer: -2*s*(s - 2)**3*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*b + 30. Let r = b - -51. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59732178 take away 37235?\nAnswer: -37235.59732178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 b, and 1 w when four letters picked without replacement from hhbwbwhhb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rurufrrcfu. Give prob of sequence fruu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3))**(-25)\/(c*c\/(c*c**0)*(c\/c**4)\/c) assuming c is positive.\nAnswer: c**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1804)\/(-1254) + 20\/(-15).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**5 + 23452*m**2 + 3416*m wrt m?\nAnswer: 20*m**3 + 46904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (2 - 2) - -7. Let n(f) = -f**3 + 7*f**2 - 7*f + 5. Does 10 divide n(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*c**2*d*w**3 - 2*c**2*d*w + 130*c**2*d + 24*c*d*w**3 - 6*c*d*w**2 - 13*c*w**3 wrt c?\nAnswer: 74*d*w**3 - 4*d*w + 260*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 55565086, 5 in decreasing order.\nAnswer: 55565086, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 45*w**2 - 314*w - 1696. What is d(11)?\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 19790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8550887561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39229806 divided by -2.\nAnswer: 19614903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 78. Solve 3*q = -t + g*q - 2, 0 = 4*q - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2 - -1)*-1)\/(-4). Let j = 236 + -3070\/13. What is the nearest to r in 1, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750 + 224 = -1147*q + 10944 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -5\/25252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = -4*o, -o + 2*r - 6 = 4*r. Suppose 4*b - 4 = 2*x, o*x = -5*b + 19 + 4. What is the first derivative of -x + k**4 + 0 - 5*k**4 wrt k?\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - 1. Let v(z) = -z**2 - 7*z + 8. Let w be v(m). Find the third derivative of -5*b**4 + 5*b**2 + w*b**4 - 13*b**2 wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141448674.\nAnswer: 2, 3, 23574779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*v + 1661 + 1066 = 363*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - 165\/20)\/(9\/(-12)). Find p, given that -h*p**2 + 2 - 1\/3*p = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**4)\/l)**(-1\/15))**(1\/27) assuming l is positive.\nAnswer: l**(-1\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24872, -99846, -224810, -399764?\n\"Answer: -24995*y**2 + 11*y + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -227*s + 110*s + 1170 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -8*t + 33*t. Let u = 0 + 0.3. Let n = 2.93 + 0.07. What is the second biggest value in u, t, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(99))**2 - (sqrt(11) - 5*(sqrt(11) + 2)).\nAnswer: 28*sqrt(11) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -39*n**3 + n**2\/2 + 50*n - 480. Find the second derivative of f(m) wrt m.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, 65, 86, 91, 74?\n\"Answer: -n**3 + n**2 + 35*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-180) + (-84)\/45\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13988 + -11853. What is the remainder when f is divided by 239?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216 - 137. What is the remainder when z is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-8)*(-12)\/18 + -3. Let p be 1\/((f + 1)\/(-7 + 5)). Solve -8 = -3*a - p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1824324 divided by -4.\nAnswer: 456081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s - 34 = 0. Let u = -12 + s. Solve -u*z = 2*a + 4, -z - a - a = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o**2 + o. Suppose -3*v - 8 = a, 4*a = 2*v - 0 - 4. Is 5 a factor of m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10648 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 597\/50 and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -461 - -960. Let a = t - 494. Sort 16, a, 8 in increasing order.\nAnswer: a, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450220 is divided by 604.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 19*a**2 - 10*a + 64. Let x be p(24). Suppose -6*v + 1940 = -x. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6 - (-12 - 11668\/(-984)).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 2*o**2 - 2*o**3 + ((-o + 4*o + o)*(o - 1 + 1) + o**2 - o**2 + 4*o**2)*(2*o - 5 + 5) to i + c*o**2 + y*o**3 + b*o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqh when three letters picked without replacement from hzjhdqbj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10 + -11 + 18 + -10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -12 + (-92)\/12 - (11 + (-2472)\/36)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -12*r**3 + 8*r**2 - 48*r + 40. What is t(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136 - -119) + (0 - 3) + 4 + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -120312110?\nAnswer: 120312104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 17390?\nAnswer: 86950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87978307 to the power of 1\/3, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82.53 + -413.02. Round v to the nearest integer.\nAnswer: -496","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 908*s + 7*s**2 - 478*s - 434*s + 5*s**2 - 20*s**2.\nAnswer: -4*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7918325 divided by -2\nAnswer: -7918325\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301818 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/3, -2\/3, -178903 in ascending order.\nAnswer: -178903, -2\/3, 25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60982 + -31221. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - r - 3, -4*s = -3*r - r - 12. Let z = 6 + -3. Suppose -2*b + b = -w - 21, s = -3*b - z*w + 39. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 35.7. Let r = 0.1 - 0.2. Which is the closest to r? (a) -3 (b) y (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 9:16 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11747)\/(-17) + (0 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/16)\/(((-2)\/6)\/(1\/(-3))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -4 (b) -13 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-8 + (12465\/117)\/5 - 14)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = -50 + 2 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t - 25. Let h(o) = 26*o + 71. Let b(m) = -6*h(m) - 17*s(m). Let q = 1 + -4. Give b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 26 + 14 - 9. Suppose 0 = 4*y - 19 - 9. What is the tens digit of n(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8401 - 4*a - 8401.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/14 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (174 + -158 - (-2 + 24))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, -1, 62192, -51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-18) - (-64)\/36. Let p be (3 - 1) + (-1 - -14). Solve -u*g + 7*g + p = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 10 = -5*a. Suppose -a = s - 73. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 140*h + 16. Let o(b) = 28*b + 3. Let f(p) = 11*o(p) - 2*z(p). Let w(g) = -18*g**2. What is f(w(a))?\nAnswer: -504*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3 + 2 - 4 + 2*i**3 - 4*i**3. Let b(u) = -u**3 - 4. Suppose 25 = 6*y - y. Suppose 3*f - y*l = -6, 3*l + 2*l = 4*f + 8. Calculate f*h(j) + 3*b(j).\nAnswer: j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 + 5454. 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: Let y(g) = 5*g - 22. Let f be y(5). Sort 0.5, 7, f, -1\/2 in ascending order.\nAnswer: -1\/2, 0.5, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrkknkknnkrknrrr. What is prob of sequence rn?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 40 = -3*p + 46, 4 = m + 2*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -100010101101111000011 (base 2) to base 11\nAnswer: -707775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:50 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - h = -31, 3*h - 13 = -4*g + 3. Solve g*u - 2*u = 3*s + 26, -30 = -5*u + 5*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -279, -621, -1099, -1713?\nAnswer: -2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 9656c?\nAnswer: 9656b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 13*h - 32. Let k be f(-6). Let g be (1*(-1)\/(-3))\/(k\/(-390)). Solve 0*b + 4*r + 8 = 4*b, 0 = 2*b - g*r - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -464*j*u - 5470*u wrt j.\nAnswer: -464*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/896 and 109\/21028?\nAnswer: 672896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2605647270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-13 - -7 - (3 - 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-19)*1*(-20)\/(-380).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 797, 857, 941, 1043, 1157?\n\"Answer: -v**3 + 18*v**2 + 13*v + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -25\/929 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -100, -192, -284, -376, -468?\n\"Answer: -92*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3293 divided by -5969?\nAnswer: 3293\/5969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -11006479 in increasing order.\nAnswer: -11006479, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*y - 16627 = -16272, 0 = -5*b - 5*y + 405 for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.3 - -32.7. Is v greater than or equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 5, -16, 0 in ascending order.\nAnswer: -16, 0, 5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -103 + 116 - (-25)\/(-2). Let j(g) be the first derivative of 12 + d*g**2 + 0*g. Let z(q) = -q**2. Calculate j(z(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 427 - 50807\/119. What is the biggest value in -4, 0, g, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6390*i**2 - 10384*i**2 - 7416*i**2.\nAnswer: -24190*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -13, 26\/3, -5, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s**5\/5 + 130538*s**4\/5 + 362681*s**3\/5 - 87042*s**2\/5 = 0. Calculate s.\nAnswer: -3, 0, 2\/9, 14507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 18 = -j + 2*t, -2*j + 2*t + 48 = 0. Suppose 0 = -j*m + 12*m + 5588. What are the prime factors of m?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -11*c - 10. Suppose 3*a - 40 = -a. Suppose 2*i - a = 70. Solve 4*j + 5*l = -i, 2*j - c*l + 14 = -3*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 178 and 4910130?\nAnswer: 4910130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 670 - 161.5. What is x rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d6 - -6?\nAnswer: 2dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3981?\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -748, -3025, -6820, -12133, -18964, -27313?\nAnswer: -37180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 24*l**2 + 18*l - 10. Let c be (-2)\/(-10) - 1160\/50. Let i be f(c). Suppose -i = -a - 14. List the prime factors of a.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1182772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231122 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1135\/11 + 103. Let w = 0.6 - -17. Let t = -18 + w. What is the third smallest value in q, t, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0.118672193.\nAnswer: -2.881327807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*w - 4)*(-3 - 1 + 2) + 2*w - w + w + 1 as i*w + h and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361 a factor of 5449127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8 + (-7)\/(-2). Suppose -z = 5*j + a, -j - 19 = -2*z - 2*j. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -101 in 2.8, 3\/7, 0.5, -216, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -490 - -164. Let k = d + 639. Is 68 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-874)\/95)\/(-23) + (-1 - 156\/15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.526 times -0.1\nAnswer: -0.1526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 + -77. Suppose u + 4*b - j = 0, -u + 82 = 2*u + 2*b. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9919.565 minutes to nanoseconds.\nAnswer: 595173900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 2*c + c - 4*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147*q**4 - 5*q**3*s**2 - q**2 - 31*q*s**2 + 23*q*s + 2*s**2 - 2*s wrt q?\nAnswer: -1764*q**2 - 30*q*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(931)*2*5)**2 + 2 + -3*sqrt(2299)).\nAnswer: -132*sqrt(19) + 372408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 + 704722609.\nAnswer: 704722610.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1491 - 223 = 0. Let i = j + -297. Calculate the remainder when 31 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x + 27*x - 61*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15631, 30328, 45025, 59722?\n\"Answer: 14697*h + 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -5567\nAnswer: -5566.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1718 divided by -52?\nAnswer: 859\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, 0.5, -42.53, -1\/3, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4694.026ml?\nAnswer: 4.694026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/25, 4, 2\/13?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - -87 - (3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**2\/2 - 23*l + 169. Calculate m(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -12*i - 238 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1377, -5 in ascending order.\nAnswer: -5, 1, 1377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 24 + -6 + -6 + 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 25*k**3\/6 - 9*k**2\/2 + 21*k. Let u be s(-8). Let l = -147 - u. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c + 25. Let b be s(-13). Let m = 584 + b. Let i(j) = m*j - 21*j**2 + 1 - 1 - 424*j. Let t(u) = 2*u. Calculate i(t(l)).\nAnswer: -84*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1 and -10396753?\nAnswer: -21833181.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34522503 (base 6) to base 13.\nAnswer: 2b547a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 646685, 646651, 646579, 646457, 646273, 646015, 645671?\n\"Answer: -2*t**3 - 7*t**2 + t + 646693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(72)\/(sqrt(42)\/sqrt(7))) + -2)*-6.\nAnswer: -6*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 19986*v - 459680. Calculate n(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 17*g**3 - 3*g**2 + 0*g**2.\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26340 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*a = 2*a + 17, 0 = -5*i - a - 21. Let j be 18\/(-4)*i\/6. Suppose -2*g + 2*r + 3 - 1 = 0, 0 = 4*g + 3*r - 11. Is g at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.08, 1\/4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2724 or -597?\nAnswer: -597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 57 - (-559 + 532 + (-2 - -26))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856*m = -853*m + 30, -2*m = 5*p - m - 3*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1371070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -3, -2314?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2. Let o(y) = -7962388*y. Give o(u(q)).\nAnswer: 15924776*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251*z**5 - 169*z**3 - 167*z**3 - 45*z + 336*z**3 - 130*z wrt z.\nAnswer: -5020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24320 divided by 903.\nAnswer: 24320\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 3, p: 3}. Give prob of sequence pp.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005232817 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:33 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1509 * -5.\nAnswer: 7545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 - (-11 - -14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -3*v + z, -3*v - 2*z - 53 = -389. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*n + 4463 - 5376 = 2*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.3. Let u be (264\/(-9))\/((-104)\/(-36) + -4). Let n = -134\/5 + u. Which is the biggest value? (a) g (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -245?\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (12 - 13) + -10 + 2 + 4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 5, 4, -2, 2, -0.9, 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2700?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (176\/(-6))\/((-184)\/276). Suppose 91 = p*f + 3. Solve 0 = -4*o + 4*n - 3*n, 5*o + f*n = 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332524612 divided by 47503516\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 7254200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**4\/24 + 5*x**3\/2 - 3*x**2. Let v be q(9). Solve -8 = -4*j + v*j + 2*z, 4*j = -3*z - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 + 7*o + o**2 + 3*o**2 - 14 + 0*o**2. What is the units digit of u(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000 + 111010?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(168\/1120).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 3*k. Suppose -5*p - 2*j = -j + 20, -p - 2*j - 4 = 0. Let w = 6 - 3. Let c(u) = -2*u**2 - 4*u. Calculate p*f(g) + w*c(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 157434 + 104?\nAnswer: 157540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:03 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a factor of 2252502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111643*h**3 - 63379*h**3 - 48261*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 221744462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 292.5812 kilograms?\nAnswer: 0.2925812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x*x*x**(2\/5)))\/x)\/x)**(9\/2)\/(x**(3\/4)*x*x*x*x*x**(1\/11))*(x*x**(-1\/2)*x*x**(3\/5))**(-18) assuming x is positive.\nAnswer: x**(-12747\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 3*o + 18, -4 = 24*q - 28*q + 5*o for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1420 - 710. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411, 962, 1511, 2058, 2603, 3146, 3687?\nAnswer: 4226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -30 and -31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + 15*j**2 - 6*j - 7. Let x be y(7). Suppose -12*v + 0 + 48 = x. What is the least common multiple of v and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 6*p**2 - 45*p\/2 - 243\/2 = 0.\nAnswer: -3, 27\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3621128 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25 and 206.9?\nAnswer: -51.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(34)*-4*-1)\/((sqrt(2) - (sqrt(2) + (sqrt(2) + sqrt(8) - sqrt(2))*3 + sqrt(2))) + sqrt(2) + (sqrt(56)\/sqrt(4))\/sqrt(7)))**2.\nAnswer: 2448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k - 6. Suppose -7 = -5*n - 2. Is n smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b + 76. What is a(8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -299*w + 9094. Give u(31).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**6\/60 + 2*t**5\/5 + 265*t**4\/12 - 92*t**3 + 1565*t**2. Factor q(g).\nAnswer: -2*(g - 23)*(g - 1)*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u - 50*u**4 - 6*u + 49*u**4 + 3*u**2)*(-2 + 1 + 0)*(2*u - 1 + 1 + (9 - 9 - 5*u)*(-1 + 1 + 1)).\nAnswer: -3*u**5 + 9*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1250 - 3?\nAnswer: -1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 7 - 16 + 28*f**3.\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*j + 0*j = 104, 0 = -2382*r + 2381*r - 4*j + 49 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 12 = -4*t, -4*t - 163*r + 36 = -159*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x - 21. Give h(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41621131 to the nearest integer?\nAnswer: 6451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/4 and -55\/9011576?\nAnswer: 9011576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7090.558 minutes to microseconds.\nAnswer: 425433480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3410295728 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = -i. Let t(o) = 0*o**2 - o**2 + 8*o - 5 - 5. Give t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*z, -3*z = -x - x - 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owilq. Give prob of sequence lq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-1 + (8 - -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200211 + 103413?\nAnswer: 304024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h + 45. What is the least common multiple of -8*((-10)\/h + (-15)\/9) and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79193 times -4?\nAnswer: 316772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034 - 11657.\nAnswer: -11657.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4186+8\nAnswer: -4178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16754, 32038, 47322, 62606, 77890?\n\"Answer: 15284*d + 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -23, 7834, -0.7, -5, -0.5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.1723kg?\nAnswer: 9172.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 7812 = 212*h - 5908 for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-24))\/(14*(-9 - 1302\/(-144)))\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**8\/840 + s**5\/40 - s**3\/2 + s**2. Let z(k) be the first derivative of d(k). What is the second derivative of z(f) wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, -2820840 in ascending order.\nAnswer: -2820840, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1370, 1493, 1708, 2015, 2414, 2905, 3488?\nAnswer: 4163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*b + 30 = 0, y = 5*b + 13 + 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 208702 = 12*a + 25*a. Is a a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/(y*y**8))\/(y**0\/y*y)**(-3\/7)*y**(2\/19)*y*y*y**(-5)*((y**1*y)\/y)**(6\/17) assuming y is positive.\nAnswer: y**(-11507\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4. Let y(c) = 6*c + 10 + c**2 + 4*c - 1. Let v be y(-9). Solve 22 = i*m - v*w + 4*w, -5*m - 4*w = -37 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39520 - 21876258?\nAnswer: -21836738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(2\/(22\/(-33)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 58 + -17 + -79 - -37\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3594\/313 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1148 or -53?\nAnswer: -1\/1148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k + 281. Let t be z(31). Put 3, 8, 1, t in increasing order.\nAnswer: 1, t, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, 1278, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 5*a)*(-11*a**3 + 68*a**3 + 51*a**3).\nAnswer: -324*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -22?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 1 - 9. Suppose -7 = -p - 4*g + 15, 16 = v*p + g. Solve p = -4*l - 2*z, 0*z - 6 = l - 4*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/3)\/((-865)\/4152) - -22?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25b3087 (base 13) to base 2\nAnswer: 101101001000011010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (23 - (3 - 2) - 4) + 0. Let s be ((-184)\/(-207))\/(22\/i + -1). Solve -5 = s*q + 5*l + 1, 0 = 2*q + 3*l + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2898)\/27)\/(-23)*(1089\/(-77))\/11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.833263 - 13337495.\nAnswer: -13337493.166737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.2*-39359.\nAnswer: -244025.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 38817435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 13*n**5\/60 + n**4\/6 + n**3\/3 + 2*n**2. Suppose -5*p - 13 = z, p + 7 = 5*p - 5*z. What are the prime factors of j(p)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(27) + 1*sqrt(27).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4243, 4283, 4323, 4363?\nAnswer: 4403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(2\/(-4) + 0). Suppose -2*n - 11 = -g + 2*g, -g - 2 = -n. Let k = h - n. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*z**2 - 1386*z + 2*z**4 + 2766*z - 1383*z + z**3 as n*z**4 + t*z**2 + x*z**3 + b*z + d and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k)\/((k*k**(-2\/5))\/k*k))**(8\/15)\/((k*k**1\/k*k)**(-3\/13)\/(k*k*k**(-1\/4)*k)**(-5\/7)) assuming k is positive.\nAnswer: k**(-16587\/9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50855473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5)**(-16\/9))**13 assuming i is positive.\nAnswer: i**(-1040\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 40*m = 44*m - 21, 2*m = -v + 13. Let j(n) = -4*n**3 + 6*n**2 + 5*n. Let o(r) = -r**3 + r**2. What is v*j(i) - 6*o(i)?\nAnswer: 2*i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 63.69. Suppose 1453*n = 1451*n + 8. Which is the third smallest value? (a) w (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 - -52 - (31 + 4 - -17)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -891 + 534. Let z be (37112\/(-156))\/(4\/6). Let c = x - z. Sort -5, 4\/3, c.\nAnswer: -5, c, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 6*z + 12. Let x be g(-3). What is the remainder when 39 is divided by 4\/x - 528\/(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -148 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irii when four letters picked without replacement from iriiiriiiiii?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttcccttctct. Give prob of picking 1 t and 2 c.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14916 or 9\/2?\nAnswer: -14916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**2. Let u(i) be the third derivative of -2*i**5\/15 + 5*i**2. Let k(r) = -6*u(r) - 5*y(r). Let x(h) = 5*h. Determine x(k(g)).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p + 2. Suppose 2*m + 1 = f, 0 = m - 4*f + 3*f + 2. Let v be (m\/(-2))\/(2\/12). What is n(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 947748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 685*b + 717*b = 4*a + 292, -5*a = 5*b - 65 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 4*t + 7*n, 153*n = 2*t + 128*n + 6 + 33 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*c)*(-11*c - 22*c + 7*c + (c + 0*c - 3*c)*(4 - 1 - 2) + 1 - 1 - c - c + c - c).\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 + 502\/5. Let g = -21 - 716. Let s be (-3 + g\/(-242))\/((-1)\/2). Put 4\/5, z, s in ascending order.\nAnswer: s, z, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.1 - 0.1. Let y = 3390\/11 + -308. Which is the nearest to 2\/5? (a) y (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66688 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 3*p**2 + 0*p**2 + (-2*p**2 + p**2 + 0*p**2)*(97 - 46 + 164).\nAnswer: -214*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-90)\/(-70) + -1)*(-63)\/(-54). Let v(l) be the second derivative of -2\/5*l**5 + 2\/15*l**6 + j*l**4 + 0*l**2 + 0*l**3 + 0 + 2*l. Factor v(x).\nAnswer: 4*x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let z be p(-1). Suppose 2*i - 5*i + 318 = z. Suppose i = 5*o - 9. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/15 - 1384*p\/5 - 4162\/3.\nAnswer: 2*(p - 2081)*(p + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2 + 2*t - 10. Let x(a) = 3*a**2 - 2*a + 9. Let j(b) = 5*c(b) + 6*x(b). Suppose j(s) = 0. Calculate s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*g - g + 12*g + 9*g.\nAnswer: 65*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4935 (b) 2\/13 (c) -3 (d) -19610\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -5*p**3\/3 - 5*p**2\/2 + 2*p + 9. Let d(y) = -y - 1. Calculate -5*d(o) + f(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 + 2*p**2 + p + 1. Let a(y) = -3*y**4 + 42*y**3 + 18*y**2 - 51*y + 57. Let r(k) = a(k) - 9*b(k). Determine f so that r(f) = 0.\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**4 - 9*s**4 - 3*s**3 - 1 - 16*s**2 + 15*s**2 to the form b*s**4 + t + r*s + j*s**2 + f*s**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11001110000 (base 2) to base 7\nAnswer: -4543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 6*x**2 + 24*x + 24. Give c(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63818.\nAnswer: 2, 17, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6)*5\/(135\/2)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/9))\/(y\/(y*y**(-1\/9))))\/((y*y\/(y**(-3)*y))\/y**(2\/11))*(y*y**3)\/y**(2\/3)*y\/(y\/y**(-1))*y**1 assuming y is positive.\nAnswer: y**(62\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/23, 2\/231, -0.3, -14\/13, -2, -1?\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 64 + (37 - 55) - 22\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.385 - -0.578. Let v = 4.89 + a. What is v rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 411.1682ml?\nAnswer: 0.4111682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**3 - 3*r + 3*r + 6*r)*(1360*r - 31992 + 31992) in the form g + n*r**4 + c*r**3 + f*r + h*r**2 and give n.\nAnswer: -1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrcrrcrc. Give prob of picking 2 r.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 9\/22 (c) -0.11 (d) -5 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 - 2 = w, 0 = 2*i + w - 9. Solve 4*q + 12 = 2*y, -i*q + 0*q - 9 = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 3*b + 38. Let n be s(10). Let f be 1845276\/n*(-4)\/18 - 3. Let a = 12799 - f. Calculate the common denominator of a and 63\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18634783, -18634785, -18634787, -18634789, -18634791, -18634793?\n\"Answer: -2*r - 18634781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j**2 + 13*j + 25. Let y(u) = 33*u**2 - 51*u - 105. Let r(b) = 9*f(b) + 2*y(b). Let n(i) = i**2 - 2*i - 2. Give -15*n(s) - 2*r(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*v + 47 = -374*v - 19. Sort v, 76, 3.\nAnswer: 3, v, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 90409595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 17*v + 86 - 49 + 7*v - 55*v.\nAnswer: -31*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -238*n + 1378. Calculate the remainder when x(5) is divided by 96.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, f: 1, q: 2, g: 2}. What is prob of picking 1 g and 1 k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64064.784 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -787.500175 to the nearest ten.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 71 - -4?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*d - 380*d + 3975 = 0 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 17597*x + 17119. Let q(w) = 8798*w + 8550. Let b(f) = 5*q(f) - 3*s(f). What is the derivative of b(z) wrt z?\nAnswer: -8801","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1412\/(-8))\/((-16)\/(-384)*4\/(-6)). Calculate the greatest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1364 + 1369.99. Let p = a + -4.402. Let i = p + -0.278. What is i rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 420441781?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -91, -117, -145?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -267780 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - 2 - (56 - 7 - 95)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2497897?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + -8 - -5 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i = 30*i - 12. Let z(m) = 72*m**2 + 11*m + 32. Let k be z(i). Round k to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 355\/(-10))*-2. Let z = -63 - f. Suppose -4*r = -6 - 2, z = -3*n + r + 166. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -480?\nAnswer: 29\/480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.7 (b) -1\/7 (c) 145 (d) -0.5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b. Let r(q) = 5425*q - 85. Determine j(r(k)).\nAnswer: 32550*k - 510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1155*y**2 - 1177*y**2 + 2330*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38646991459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2. Let m(z) = -2*z - 54. What is m(b(d))?\nAnswer: 12*d**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -7*j**6\/6 + 8*j**3\/3 + 2. What is the third derivative of u(n) wrt n?\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -19*h**3 - 4*h - 9. Let f(j) = -9*j**3 - 2*j - 4. What is 13*f(y) - 6*r(y)?\nAnswer: -3*y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17642, -70574, -158794, -282302, -441098, -635182?\n\"Answer: -17644*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3128*h**2*r**5 + 2*h**2*r**3 - 23*h**2*r + 81*h**2 - 10*r wrt r?\nAnswer: 62560*h**2*r**3 + 12*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 816.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 514266086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 706*u**2. Let m(h) = -57*h. Let l(c) = 93*c. Let k(d) = 5*l(d) + 8*m(d). Give k(y(r)).\nAnswer: 6354*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + v + 1. Let y be m(-2). Suppose y*n + 3*p = 0, -2*p = 4*n - 2 - 2. Solve 2*t + 8 + n = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 234, 4.9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -43.1. Let z be (-3 + 4)*(-3)\/((-15)\/(-10)). Sort 8, a, z, 2\/11 in ascending order.\nAnswer: z, a, 2\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i = 4. Suppose -l = -4*j - 2 + 5, 2*l - 5*j = -3. Factor 7*t**2 - 4*t**2 + 2*t - 2*t**i + l.\nAnswer: (t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - -3)\/1*(-15)\/3. Suppose 4*h - 9 = -t. Let r(v) = v**2 - 4. Let k(b) = 5*b**2 - 15. Let y be 15 + (6\/2)\/(-3) + 1. Determine h*k(o) + y*r(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -649789, -1299594, -1949399, -2599204, -3249009, -3898814?\nAnswer: -4548619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**5\/5 - 5*f**4\/28 + 3*f**3\/7 + 5*f**2\/14 - 2*f\/7 + 7. Determine q so that s(q) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 264 = 15*x - 62*x + 20*x - 3*t, -4*x - 8*t = -92 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162839 is divided by 10831?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -12843\nAnswer: 2697.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -18*x**2 + 9 - 72*x + 72*x. Let n(f) = -9*f**2 + 5. What is 9*n(u) - 5*p(u)?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**5\/50 - 2*z**4\/15 + z**3\/5 - 7*z. Factor l(n).\nAnswer: 2*n*(n - 3)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11682092?\nAnswer: 2, 2920523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2494 + 4*o**2 - 2490 + o**2. Let a(n) be the third derivative of -n**5\/15 - n**3\/2 - n**2. Determine -4*a(s) - 3*f(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 7*m - 9*m - 42, 5*x - 3*m - 52 = 0. Let a be (-8687)\/(-798) + (-4)\/(-24). Is x smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12383033 to the power of 1\/2, to the nearest integer?\nAnswer: 3519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - x + 2, 4*f + 14 = 5*x - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 209, -380, -1439, -2974, -4991, -7496?\nAnswer: -10495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1160 in -0.2, -0.1, 0.2, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3*f + 3 + 7 + 4.\nAnswer: 3*f + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02632515 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1 - 2 - 3*s + 5*s. Let a(i) be the third derivative of 5*i**4\/24 - i**3\/2 + 3*i**2 - 4*i + 2. Determine -4*a(x) + 9*u(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 7*p**2 + 8*p - 9. Let r be u(6). Suppose 4*b - r*q - 106 = 0, 0 = -b - 4*q - q + 38. Is 26 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3581 divided by -74.\nAnswer: -3581\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23113 and 19925?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302230 + 331?\nAnswer: 303221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44274098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37006050?\nAnswer: 2, 3, 5, 246707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.239 - 0.061. Which is bigger: -1\/4 or a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 11*y = -2, 2*o - 8 = y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382698007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 63*h - 12*h - 33*h - 9*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/9 + 2056*o\/9 + 528392\/9 = 0.\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(8)\/(sqrt(4) - (sqrt(96)\/sqrt(6) + sqrt(16)))).\nAnswer: -5*sqrt(2)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(832) - sqrt(52)))\/(2*sqrt(4)*-2) + 1 + 1.\nAnswer: 2 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 4*q + 8\/5*q**5 + 0*q**4 + 0*q**2 - 6 + 0*q**3. Differentiate f(h) with respect to h.\nAnswer: 32*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18787*v + 18730*v - 37207*v.\nAnswer: 310*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*o - 28. Let c = 32 - o. Solve -5*s = -c*m - 25, -2*s + 3*m = -3*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 11:39 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3 = -3*b, 0*b - 2 = -z + 2*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 867541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15 - -9*4088\/3780\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159.7 + 162.7. Let t = -3 + 1. Let c be t\/6 - 10\/24. Sort c, x, 0.1 in decreasing order.\nAnswer: x, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*i + 2 - 10 = 0, z + 16 = 5*i. Suppose 3*t + 22 = 5*m, -3*t + z*m + 3 = 23. Let u be (-4)\/t*1\/(-7). Are u and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5136259g to tonnes.\nAnswer: 0.0000005136259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8545.4 in 3, 0.2, 175?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-4)*k))**(-9\/4))**(-25))**(-40) assuming k is positive.\nAnswer: k**(-9000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13225450 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 8:26 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(-2 + sqrt(13)*-1))*-1*-4*4.\nAnswer: 16 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1.48.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19399340341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 498 = 376. Suppose n = -2*j - 919. Let h = j - -1243. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = 9*u - 90, 3*m + 5*u + 409 - 467 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -16*s + 536. What is the tens digit of l(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34.3 and 1.\nAnswer: -34.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/3)\/(108\/324). What is the second smallest value in i, -5, 0.3, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000166684 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k - 13. Give p(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/33 and (10\/(-354))\/(-16 - 79\/(-5)).\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjyfjkjyyfj. What is prob of sequence kf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s**2 - 3 + 1 - 1)*(3 - 1 + 0).\nAnswer: 4*s**2 + 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966 is divided by 222.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/(sqrt(18)\/sqrt(3)) + -1.\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 501 and 35810624.45.\nAnswer: 35811125.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 2*r**2 + 9*r. Let p be v(4). Factor 0*j + 0 + 2\/9*j**2 - 2\/9*j**p + 2\/9*j**3 - 2\/9*j**5.\nAnswer: -2*j**2*(j - 1)*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) -2\/3 (b) -2\/13 (c) -14\/391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -282109.32148 rounded to the nearest ten?\nAnswer: -282110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -639, -1275, -1911, -2547, -3183, -3819?\nAnswer: -4455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 i, and 1 y when three letters picked without replacement from {y: 3, n: 2, i: 7}.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386207 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 428917 and -7.\nAnswer: -3002419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2428*a**2 - 8*a - 391985?\nAnswer: 4856*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 + 4*x + 125. Determine s(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -220, -228, -254, -304, -384, -500, -658?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3619 = 17*l + 3721. Let q(k) = -4*k - 4. Let d(w) = 3*w + 3. Let s(a) = -a**2 + 2*a - 2. Let y be s(3). What is l*d(p) + y*q(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 = -3*n, 3*z = -n - 3 - 5. Suppose -8 = -q + 5*r + 15, r = -4. Let k be 12\/(-15)*(2 + q). Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -0.055701\nAnswer: -0.055701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 7*z**2 + 8*z + 3. Let b be a(8). Let r(f) = -2*f - 7 + f - f + 3*f. Let l be r(8). Solve -2*o - b = l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 7*t**2 - 7*t + 4. Let d be c(4). Suppose 0*m = 4*m - d. What is the third derivative of -5*r**6 - 3*r**2 + 2*r**m + 5*r**2 wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 378*g**2 + g + 2. Let h = 5 - 6. Is q(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 630.383s to microseconds.\nAnswer: 630383000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -7*j**7\/3 - j**6\/30 + 467*j**4\/2 + 2795*j. Find the third derivative of u(p) wrt p.\nAnswer: -5880*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5166 times 0.2?\nAnswer: 1.70332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 + -81 - (-8 + 2)) + 1 + 4.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 84\/56809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.2 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x**2 + 72. Let b(u) = 11*u**2 + 90. Let i(a) = -4*b(a) + 5*v(a). Let c(p) = 2*p**2 + 28*p. What is c(i(k))?\nAnswer: 2*k**4 + 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(208\/16))\/(6\/(-36)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 16*f - 15 - 4*f to the form l + i*f and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 72*j - 29. Let c be u(37). Let t be (-6)\/27 - (-220)\/18. Factor -8*v - t - 2*v**2 + c*v - 23*v.\nAnswer: -2*(v - 6)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6 - 14 - 25 - 17*p - 20. Is 16 a factor of s(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3547*d = -4515*d + 24200 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/((-1)\/(-15)). Suppose 14*w + x = 16*w. Suppose -6*u + 1 = 5*p - w*u, -2*u = -2*p - 2. Solve -2*m = -p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -389\/6. Which is the second smallest value? (a) 7 (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880*a**2 - 2659*a**2 + 818*a**2 + 965*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/34)\/((-9)\/(-30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) - (sqrt(66) - (1*2*sqrt(66) - sqrt(66)))) + sqrt(66) + sqrt(66))\/(sqrt(384)*-2) + 2*(-1 + sqrt(2816)))**2.\nAnswer: -127*sqrt(11) + 177483\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*p - 50*p - 2592 = -80*p for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*c**(-18\/11))\/c)*c**(3\/11) assuming c is positive.\nAnswer: c**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 - (-3 + 0\/(-2)). Let t = 7 + h. Let o be (-6)\/(-8) + (-2)\/(-4). Is o less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*f - 59, -3*d - d = 3*f + 58. Let q(u) = u + 7. Let j be q(d). Let y(o) = o + 1. Calculate y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*t**4 + 1114926*t**3 - 1560639*t**2 + 445878*t = 0 for t.\nAnswer: 0, 2\/5, 1, 74313\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5 = -v, 0 = -19*x + 15*x + 5*v + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lflcffzzfzzzzz. Give prob of sequence lz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3510 and 15320630.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 173?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5869 is divided by 5861.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37538 + 19943. Let y = 17596.00004 + u. Let s = y + -1. What is s rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1792, 2722, 3652, 4582, 5512?\n\"Answer: 930*q + 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11813492, -23626982, -35440472, -47253962?\nAnswer: -59067452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 19*g**2 + 17*g - 15. Let l be a(-18). Suppose 34797 = -l*h + 3*i, 2*h = -0*h - i - 23201. Round h to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-375)\/(-35) - (-2)\/7. What is the third derivative of -4*n**3 + 0*n**3 + r*n**3 + n**2 wrt n?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + 4 + sqrt(176) + 4*sqrt(176) + sqrt(176) + -3 + -5.\nAnswer: -5 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**2\/9 + 71668168*u\/9 - 321020394029764\/9 = 0.\nAnswer: 8958521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 + x**2 + 6 - x**3 - 5 - 3*x - 3*x. Let j be l(6). Which is smaller: 4\/19 or j?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611, -1324, -2037, -2750, -3463?\nAnswer: -4176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-6) - (12\/(-15) - 153\/(-135))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/20 - o**2. Let r(m) = -2*m - 29680. Let n(i) = -i - 16188. Let f(b) = -11*n(b) + 6*r(b). Calculate f(p(t)).\nAnswer: -3*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (178 - 172 - (2 + 136)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -192.8036 to the nearest integer.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1600.61792*2\nAnswer: 3201.23584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 144 + 16 = 0. Calculate the remainder when o is divided by (-4 - -1)*(-2)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1632 - -1622. Let l = 71\/3 + -24. What is the third smallest value in 2, l, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:11 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 39\/17 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1145 + -881. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 11:50 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 7*q**2 - 2*q + 4. Let k(j) = 5*j**3 + 29*j**2 + 9*j - 16. Let o(d) = -2*k(d) - 9*p(d). Let l be o(5). Sort l, 5, -5 in increasing order.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-308)*-422 + 36\/168.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**4 + 1495*x**3 - 15*x**2 - 4475*x + 2990 = 0.\nAnswer: -299, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10581 + -6801. What is the greatest common factor of x and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0, -2, 5, 25869 in ascending order.\nAnswer: -5, -4, -2, 0, 5, 25869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67612173 and 6501.\nAnswer: 743733903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5338 = 6*b - 638. Suppose -4*x = -8*x + b. Let u = -161 + x. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3 - -1) + 0)*-1. Suppose 3*p = t*p + 10. Is p less than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4379402084 - -917.\nAnswer: 4379403001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1)\/(3\/195). Let h = -46 + n. Suppose -h = -2*s - 7. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**3*n*n**(-1)*n)\/((n\/(((n*n**(2\/15))\/n)\/n*n))\/n**1))**(-1\/3))**(8\/5) assuming n is positive.\nAnswer: n**(-496\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.81 - 1.84. Let o = 0.937 + a. Round o to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by (13\/2)\/((-1)\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Suppose y*x - 3*r = 34, 3*r + 2*r - 30 = -2*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 3:40 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12700, 25243, 37638, 49885, 61984, 73935, 85738?\n\"Answer: -74*r**2 + 12765*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4835674726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.5 (b) 0.1 (c) -2 (d) 2 (e) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r. Let l(s) = -6*s. Give c(l(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.961 - -0.061. Let t = m + 3.2. Let p = -4.04 + 0.04. Which is the nearest to -1? (a) p (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t - 2 + 6*t)*(-5*t**4 + 0*t**3 + 0*t**3).\nAnswer: -10*t**5 + 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -9. Are i and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + v + 2)*(-1 + 7 + 1)*(v**2 - v**2 + v**2) as g + r*v**3 + t*v**2 + i*v and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880*v + 727*v - 190*v - 144768 = -1599*v for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -34 - 31 - 49 - 6*v**2 - 11*v**3 + 2*v - 6*v + 105. Let g(b) = 5*b**3 + 3*b**2 + 2*b + 4. Calculate 9*g(m) + 4*o(m).\nAnswer: m**3 + 3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -20*c**3 - 5*c**2 - 4. Let m be x(-3). Which is smaller: m or 489?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:03 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 190 - 328. What is the units digit of (10 + 2)*(-46)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 + 5?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 2 = -20. Suppose -6*y + 2*m = -3*y - 42, -2*y + i*m = -28. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2667 - 2667 + 941*y**2 + 794*y**2 to s*y + m*y**2 + z and give m.\nAnswer: 1735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 - 3)*(2 + 2*k - 2) - 5*k + 5*k - k)*(2 + 2 + 0 + (1 + 1 - 1)*(-3 + 3 - 2) - 3 - 3 + 4 + 2 - 2 + 1 + 0 - 1 - 1) to b*k + n and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1917*d**3 + 281*d**3 - 352*d**3.\nAnswer: 1846*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 9*i**2 - i + 7. Let w(y) = y**3 - 10*y**2 + y - 8. Let r(x) = 7*a(x) + 6*w(x). Suppose -16*o + 44 = 12. Calculate r(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (79 + 4)\/(1 + (-272)\/234). Let t = s + 511. Let w = 1 + 1. Which is the nearest to -0.1? (a) w (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0 = -9. Suppose 3*t - 39 - 171 = h, -n*h = 0. Suppose 2*y - 32 = -3*g - g, -g - 41 = -3*y. What is the highest common divisor of y and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-111*(-3)\/(-12))\/((-96)\/2176)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 615 = -c + 249, -5*h - 3*c + 1080 = 0. Let p = h - 214. Solve -p*u - 2*t + 11 = u, 2*u - 3 = 3*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 338 by -169.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5 + 1168*p**4 + 3368*p**3 - 28816*p**2 + 24276*p = 0 for p.\nAnswer: -289, -7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:46 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-90)\/(-4))\/15 - 9\/(-6). Find the first derivative of j - 4 + 9 + 84*c + 6 wrt c.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -377102 (base 8) to base 6\nAnswer: -2444430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -2)\/(4\/18). Suppose p - 1 = 2. Suppose -3*m = p*l - 9 - 0, l + i = 3*m. Solve j = -m*w - 12, 3*j - 21 = j + 3*w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 11:32 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + -2 - (-76 + 65)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/7*w**3 + 0 + 30\/7*w + 4*w**2 - 4*w**4 + 2\/7*w**5 = 0 for w.\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 707 and 26747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - s + 2)*(-s**2 - s**2 + 4*s**2 + 1 - 2*s**2 - 1 + (4*s + 0*s - 5*s)*(s + 0*s + 0*s) - 2*s**2 + 4*s - 4*s)*(-14 + 39 + 23).\nAnswer: 144*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1290709130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -15.29.\nAnswer: -12.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9966 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + -1. Let b be 2\/a + 145\/(-25). Let y = b - -17\/3. Which is greater: -6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 2*u - 0 + 4, u - 32*j + 65 - 189 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1480\/(-444) + 5938\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50358*x = -49949*x + 23722 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 + -30.8. Let n = -34 - d. Let h = -9 - -8.5. What is the nearest to 2\/7 in n, h, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/116 and -13\/238.\nAnswer: 13804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.66 >= -7\/32715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1139556 and -109\/49662.\nAnswer: 105978708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.82 - -1.82. What is the third smallest value in -5, a, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j + 4. Let x be g(3). Let k be x - (-9 + 9\/3). Suppose 2*d - 398 = k*m, -d = -0*d + 3*m - 189. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5*x + 390, -6*x + 83 = d - 2*x. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l - 2175 = 110*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3720173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 146301716 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2475 - 1191. Is s a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -13 - 2 - (-9 - (-1 + -3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/9 and 101\/3612.\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*f = q + 30, -q + 5*f = 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(252))**2*1 - ((2 + sqrt(63) + 1)**2 + 4).\nAnswer: 54*sqrt(7) + 941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 4, 3, 2, 1?\n\"Answer: -r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, m: 2, y: 3}. Give prob of picking 2 v.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5*s - 171*g**5 + 3*g**3*s + 3*g*s + 5*s - 5 wrt g.\nAnswer: 40*g**3*s - 3420*g**3 + 18*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33.075875+-6\nAnswer: -39.075875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-25) - 9\/(-30)*4. Let s(d) = -15*d - 7. Let k(n) = -21 - 10 - 13 + 14*n + 50. Let o(p) = -6*k(p) - 5*s(p). Determine o(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1105\/(-79)) + (-31341 - -31326)?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1999 - -962?\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*(-93 - -3). Let h be ((-3)\/4)\/((-5)\/u). Solve 3*j - h = -0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 243*b**2 + 0 + 4.\nAnswer: 243*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**4 - 3*d**4 + d**4 + d**4 - 2*d**4 + 2*d**4 + (d**4 - 2*d**4 - d**4)*(-5 + 0 + 3).\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5652, 11695, 17738, 23781, 29824, 35867?\n\"Answer: 6043*c - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - -26135462?\nAnswer: 26135516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/22 + (-236)\/(-330) + (-4)\/6. What is the fourth biggest value in 19, -0.3, -5, s, -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 11:40 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let b(r) = -r + 1. Suppose -3*z = o - 10, z + 2*o = 2*z - 1. Let m(h) = 2*h**2 - h + 1. Let a(d) = z*b(d) - 3*m(d). Give a(v(t)).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.39, -5\/2, -2?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.06 + 6. Let q = -7.06 - h. Let l = -6.99998 - q. Round l to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 7. Suppose q*d - 48 = 3*d. Suppose 0*z + 4*z = -3*g + 3, 5*g = -3*z + d. Solve 2*h + 1 = p - h, -h = g*p + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6634330 to the nearest integer?\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a minute in seconds?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 1. Let j be b(-6). Let o = 14 + j. Let q be 3\/1*(-16)\/(-120). What is the third smallest value in -1\/3, 1, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -115*d**6\/12 + 87*d**5\/10 - 31*d**2 + 13. Find the third derivative of f(x) wrt x.\nAnswer: -6900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -79500\nAnswer: -1\/19875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1653.1 - -1726137.\nAnswer: 1727790.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.633 (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10100000111101001000000?\nAnswer: 10100000111101001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -49\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1844, 1137, -4, -1549, -3468?\n\"Answer: 5*o**3 - 247*o**2 - o + 2087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 45 = -5*j, 2*j = 4*j + 4*i - 6. What is the smallest value in -1\/4, j, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.712 + -4.68. Let o = 0.032 - w. What is the closest to 2 in -1\/2, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n - 7 + 43. Suppose -2*x + n + 18 = c, -147 = -5*c - x. Let w = -25 + c. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5 = -5*z - 285, t = -z - 71. Suppose -21 = j + 45. Which is greater: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16620.\nAnswer: 2, 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -0.05 (c) -5 (d) -1 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205130 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 2\/15*w**3 + 1 + 0*w**2 + 0*w + 14\/25*w**5 + 1\/5*w**6 + 1\/2*w**4. Find i, given that a(i) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 488 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 374924.403ms?\nAnswer: 0.0006199146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 258809 and 0.4.\nAnswer: 258809.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 841*z**2\/2 - 431*z + 182. Differentiate n(h) wrt h.\nAnswer: 841","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 466741 + 82295 = 4*r, -2*f = 8*r - 1098040. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4362*u = 4361*u - 9, 6 = -w + u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.9. Let q = -3.5 - -4. Let o be (-2 - -1) + 0 + 2. Which is the closest to o? (a) k (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6205*m + 6202*m + 36. Which is the smallest value? (a) m (b) -5 (c) 38 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5960345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.5, -0.2, -2, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645540 and 607260?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -625779 divided by -4851\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j - 63*j - 3*g + 7 = 0, 0 = -3*g + 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u**15\/u)*u)\/u)*u)\/u)\/(u\/(u**(-1\/8)*u))*(u**5*u)**(8\/3) assuming u is positive.\nAnswer: u**(239\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 - 7)*(r + r + 227*r**2 - 188*r**2)*(-r + 3 - 3).\nAnswer: 546*r**3 + 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 741*((-10)\/(-15) - 1). What are the prime factors of 25\/(-75) - f\/3?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 2 - (9 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o + 1. Let b = 19 + -25. Let k(l) = 4*l - 1. Calculate b*k(r) - 5*t(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**8\/105 + y**4\/8 + 7*y**3\/3 + 13*y**2. Let j(v) be the first derivative of z(v). What is the derivative of j(q) wrt q?\nAnswer: -64*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 5:27 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7794 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 35. Let c(l) = 4*l**2 - 28*l. What is c(b(t))?\nAnswer: 4*t**2 + 252*t + 3920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/(-220) - (-574)\/(-11). Let y be (-4)\/16 + j\/(-16). Let s(v) = -4 + y*v - 2*v + v - 4*v. Give s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/47745907 and -73\/99?\nAnswer: 429713163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11186*i**3 - 2*i**2 + 5782*i - 4.\nAnswer: 67116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150894427 to the power of 1\/2, to the nearest integer?\nAnswer: 12284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - f - 2. Suppose -12 = n - 11, 5*b - 5*n = 0. Let h(d) = -11*d**2 - 6*d - 12. Let r(q) = b*h(q) + 6*g(q). Let a(t) = t**2. Calculate r(a(m)).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {z: 1, t: 1, v: 2, f: 3, w: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24800.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5460 - 5436. Solve y*q - 12 = 22*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2032.011 * -0.98.\nAnswer: -1991.37078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4 = -14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 + 346*x**2\/7 - 13532*x\/7 + 13184\/7.\nAnswer: 2*(x - 32)*(x - 1)*(x + 206)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 10*t**4 - 4566*t**3 + 75132*t**2 + 118312384*t + 47312640 = 0.\nAnswer: -135, -2\/5, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjz when three letters picked without replacement from jmjjjzrnmjrm?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1030 - 2?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 18 = 2*t. Suppose -3*g + 7*g - t = -3*k, 2*g = -4*k + 34. Suppose 4*r - 127 = -p, -k*p + 3*p - 67 = -2*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -351633*y**3 - 399*y**2 - 399*y. Let g(u) = -1767*u**3 - 2*u**2 - 2*u. Determine 2*d(z) - 399*g(z).\nAnswer: 1767*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t**2 + 39460*t - 13155.\nAnswer: 5*(t + 2631)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 233 + 62*h**2 - 233 - 2*h - 2*h**2 + 2*h + 0*h**2 - h**2 + 2*h**2 + (-h - 4*h + 3*h)*(2*h - h + h).\nAnswer: 57*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7264 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 - 4*m + 12*m - 2*m + 11*m in the form n*m + q*m**2 + p + x*m**3 and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 2*h**3\/3 + 6. Let w(b) be the third derivative of b**2 + 0*b**4 + 0 - 1\/15*b**5 + 0*b + 0*b**3. What is s(w(c))?\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r = -80*r + 119 + 133 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -625621 at least as big as -625620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79 + -f1?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -682.7 + 683. Which is the third smallest value? (a) g (b) -2\/11 (c) -5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/6 + 35*h**3\/2 + 201*h**2\/2 + 297*h\/2 = 0.\nAnswer: -99, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((57 - 57 + 11*y)*(-3 + 3 + 10*y) + (-4 + 6 + 0)*(-y + 0*y - y)*(-6 + 6 + 7*y))*(-3*y**3 + 3*y**3 - 2*y**3).\nAnswer: -164*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 3. Let i(n) = n + 4. Let t(h) = 3*i(h) - 4*s(h). Let q(l) = -3*l. Let z(r) = -6*q(r) + 14*t(r). Let d(x) = -21*x - 27*x + 45*x. What is d(z(k))?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 4. Let k be q(2). Solve 3*f + k*f - 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785419 - 45*l**2 - 785419.\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 13843?\nAnswer: -13842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkm when three letters picked without replacement from {w: 1, x: 1, p: 1, k: 3, m: 2, i: 5}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3179 + 5100. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*b + 6, b - 15 = 2*q - 0. Let d(a) = -20*a - 9 + 10*a + 11*a. Let m be d(b). Solve m = 5*n - 3*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9 - 4) + 3\/((-108)\/277) and 33\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 201 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 564077995*r**4 - 122334*r**2 + 2*r + 170 wrt r.\nAnswer: 13537871880*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-21))\/1 - (-1668)\/(-21). Let m = -69 - a. Suppose m*u - 335000000 = -0*u. Round u to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*w = -50, 5*w + 1 = 212*g - 216*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i*(i*i*i*i**(2\/3)*i*i)\/i))**12\/(i**5*i\/i**0*i))\/((i**(-1\/3)\/i)**(-7\/3))**(-49) assuming i is positive.\nAnswer: i**(589\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/122 and 57\/8.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -263\/323521 or 1?\nAnswer: -263\/323521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 33 + 20*l + 36 - l**2 - 99 + 44. What is the remainder when f(15) is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + -3 + sqrt(500) + -5 + -2.\nAnswer: -10 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + g**2 - 5*g - 17. Let p be t(-2). What is the second derivative of 3*y**4 - p*y**4 - 6*y - 3 + y**2 + 14*y**4 + 12*y**4 wrt y?\nAnswer: 192*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92422720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**4\/4 + u**2 - 2*u - 7. What is the remainder when z(-4) is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1026 - 1022. Let h = 2017378879\/668 - 3020029. Let i = 2\/167 - h. Which is the second smallest value? (a) i (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 4*u**2 + 2. Let s be k(-4). Find the third derivative of 5*g**s + 4*g**3 + 3*g**3 - 9*g**3 wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1564*i**3 + 112612*i**2\/3 + 32*i.\nAnswer: 4*i*(i + 24)*(1173*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.046342 and 2.5.\nAnswer: 2.546342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -183 in -467\/2, 0, -5, -23?\nAnswer: -467\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4787942 rounded to the nearest 1000?\nAnswer: -4788000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - o - 5. Determine j(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 23. Suppose f*x + 16 = 0, -2*g = -0*g - 3*x - 6754. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 698310*q + 1396608.\nAnswer: 3*(q + 2)*(q + 232768)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3 + 104*d**2 + 202*d + 100 = 0.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -6*k, 7*g + 2*k - 33 + 49 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in minutes?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74640?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxmvgvmxmmvmmgvv. What is prob of sequence vvmg?\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(4\/(-21)) - (-1)\/4. Which is the biggest value? (a) 0 (b) -0.08 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6 + 0 + 8*i + 7 - 4*i**2. What is the units digit of a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*-11*(-8)\/88.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17852, 71456, 160796, 285872, 446684, 643232, 875516?\n\"Answer: 17868*y**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*l + 378 = 107*l. What is the greatest common divisor of l and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94123, -188597, -283071, -377545, -472019?\nAnswer: -566493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 0.1, -556903, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26588 + -26585. Let q(r) be the first derivative of 0*r - 1\/5*r**5 + 0*r**4 - 21 + 0*r**v - 5\/2*r**2. Find the second derivative of q(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 142*k**3 + 6*k**2 - 6*k. Let o(n) = 2*n**3 - n**2 + n. Determine -6*o(x) - t(x).\nAnswer: -154*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 1 - 1)*(-15903*d + 3745*d**2 + 1221*d**2 + 15903*d).\nAnswer: 9932*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6182453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - c. Let t(j) be the first derivative of -j**3\/3 + 7*j**2\/2 + 15*j + 156. Let p be t(9). Let m(z) = -2*z**2 - 2*z. Determine p*w(i) + 2*m(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 5 - 10 - o + 4*o in the form k + h*o and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/12 + 3\/18. Let b(x) = x**3 - 6*x**2 - 6*x - 6. Let f be b(7). Let l = z + f. Solve -q = l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 8*b**2 - 6*b + 10. Suppose 9*y = -y + 90. Is 2 a factor of v(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 17.1. Which is bigger: j or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**4 + 16*p**3 - 22*p**2 - 6*p. Let q(m) = 4*m**4 - 16*m**3 + 21*m**2 + 5*m. Let o(v) = 6*q(v) + 5*w(v). Let o(a) = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(396)*-1.\nAnswer: -6*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39192751 and -3075.\nAnswer: -39195826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 123 = z, 0 = -0*i + 4*i - 4. Calculate the remainder when z is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 337*q. Let l(j) = -j - 3*j + 4*j - 2*j + 0*j. What is i(l(y))?\nAnswer: -674*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, -0.31, -61, 2\/7.\nAnswer: -61, -4, -2, -0.31, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -8. Suppose s = -5*d + 7, 3*s - 7*s + h = -4*d. Suppose 0 = -s*k + k. Solve k = 2*v - 6*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001111101 (base 2) to base 11\nAnswer: -16a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v - 11. Let p be k(3). Let g be (-16)\/12*(p + -4). Solve 0 = g*c - 4*n - 8, 3*c + 2*n = -2*n - 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 244*h**3 - h**2 - 3*h + 3. What is the tens digit of n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23122 - -23126. Put -0.209, s, 4\/5 in ascending order.\nAnswer: -0.209, 4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7691*w - 1. Let h(i) = -3*i + 8. Determine h(u(y)).\nAnswer: 23073*y + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1434392 is divided by 980.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 5 - 3 - 4.\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -96, -132, -194, -282, -396, -536?\n\"Answer: -13*d**2 + 3*d - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*j + 10, 2*j - 6*j - 6 = -3*a. Solve 5*t = -3*h + 3, -4 = -4*h + 5*t - j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a70 (base 11) to base 13.\nAnswer: a382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -20, -22, -22, -20?\n\"Answer: w**2 - 7*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 298\/14 - 5\/5 - 14\/49. Solve 2*d - 20 = 4*b, t*d + b + 19 = 24*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 328*p - 329*p + 8, p = 4*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20177 - 20177.016874. Round l to 4 decimal places.\nAnswer: -0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*b**3*c + 2*b**3*p - b**2*c*p - 14*b**2*c wrt b?\nAnswer: -396*c + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 5:00 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/42576 and -1\/480.\nAnswer: 425760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 375, 730, 1341, 2220, 3379, 4830, 6585, 8656?\n\"Answer: 2*g**3 + 116*g**2 - 7*g + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 + 237 + (-3 + 6 + -6 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 + 6*m + 4. Let l(w) = -14*w**2 - 8*w + 8. Let q(h) = 5*h**2 + 3*h - 3. Let t(c) = 4*l(c) + 11*q(c). Determine d(j) + 4*t(j).\nAnswer: 3*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n + 5*z - 1, -5*z = -2*n - 43. Let p be (n\/(-8) + -2)*-4. What is the remainder when 19 + (p - 0\/1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.5. Let l = 22.9 - 31.9. What is the biggest value in j, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 3. Let x = 2.4 + n. Suppose -3*t + 5 = -4*t. Put -0.4, x, t in increasing order.\nAnswer: t, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15419 + 7705 + 7712 + 150*n.\nAnswer: 150*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-5))\/((-3)\/(-10)). Let x(z) = 0*z + i*z + 4*z. Let d(j) = -10*j**2 + 37*j**2 - 15*j**2 - 21*j**2. What is d(x(r))?\nAnswer: -576*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*40\/(-15))\/(2\/123). Let z = h - -126. Which is greater: z or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(2 + -3 + 2). Let q = -0.35 + 0.05. What is the nearest to -1\/4 in q, 3, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46351287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3899 (b) -1 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - 141\/6. Suppose 11 = -z - 5. Calculate the smallest common multiple of 6 and ((-18)\/h)\/((-6)\/z).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*a - 41*a - 275*a - 385*a as w + g*a and give g.\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 5, 2\/1243, 14?\nAnswer: 2\/1243","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:31 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*q + 7347 = 1395 - 3798 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2073*q + 2868*q - 345870 for q.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 342 + -342. Solve b = 21*u - 20*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/66 and -21\/16916?\nAnswer: 558228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -8*q**2 - 2578*q - 8294 = 0.\nAnswer: -319, -13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**8\/1008 + a**7\/630 + a**6\/360 - a**5\/180 - 3*a**2\/2 + 4*a. Let g(m) be the first derivative of t(m). Factor g(b).\nAnswer: -b**2*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(468) + (-6*1*sqrt(468) - sqrt(468)) + 2)**2.\nAnswer: -360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*n + 3344 + 2058 = -1438 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 879413 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 2*m + 2. Let c be t(-1). Suppose c*n = n + 37. List the prime factors of n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 - 4. Let f(w) = -5*w**3 - 5 + 2*w**2 - w**2 + 6*w**3 + 0. What is -2*f(z) + 3*j(z)?\nAnswer: z**3 + z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -384, -9655 in decreasing order.\nAnswer: 0.1, -384, -9655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182448236.\nAnswer: 2, 23, 67, 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4715\/6 - 782. Let i = h - 43\/12. Which is the smallest value? (a) -6 (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10221120 (base 3) to base 5\nAnswer: -43002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104670 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9150 + -9140. Solve 4*m - 4 = -4*f, -a = 3*f - 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -774331440, -774331442, -774331444?\nAnswer: -774331446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3072)\/(-448))\/(-3) + 2\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 7*o**2 - 12*o + 13. Calculate b(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 28*u - 16. Calculate b(-28).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 3:24 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**5\/120 + y**4\/12 + y**3\/3 - 5*y**2. Factor c(o).\nAnswer: (o + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11025406 and 2422.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i + 58 - 58)*(-2*i + 4*i + 2*i) + 2*i**2 - 7*i**2 - 6*i**2.\nAnswer: 29*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -192, -1549, -5234, -12411, -24244, -41897, -66534?\n\"Answer: -194*d**3 + d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -v - 3*s, 4*v - 9*s + 13*s = 40. Solve 5*k = 4*m + 17, 2*m = -v*k - 16 + 45 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.12 + 0.12. Let f(g) = -g**2 + 12*g - 12. Let o be f(11). Let w be 4*(1 + -1 + o). What is the biggest value in k, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.084 - 0.016. Let i = q - -0.38. Let k = i + -1.28. Which is the nearest to -6\/17? (a) 2 (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 43354209?\nAnswer: 86708418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-19\/3)\/t)**(-2\/3)\/(t**(1\/6))**(34\/5) assuming t is positive.\nAnswer: t**(139\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/9*(-6)\/(-4). Suppose 12 = z*x - 196. What are the prime factors of x\/5 + (-3)\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 418737 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = w - 10. Suppose -4*u + 45 = -75. Which is greater: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 160327434 or 160327435?\nAnswer: 160327435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-8)*(-72952)\/(-501545)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**2 + 5*s - 5. Let k(y) = 43 + y - 5 - 39. What is 5*k(w) - t(w)?\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136291272.\nAnswer: 2, 197, 720997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 4*x. Let m be (-6)\/9 - (-14)\/3. Let g = -4 + m. Solve g = 2*a - 2*o + 3*o + 11, -x*a + 4*o = -14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17237 and 91.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -966*p**2 + 496*p**2 + 126*p**3 + 487*p**2 + (p - p**2 - p)*(-3*p + p + p).\nAnswer: 127*p**3 + 17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*l. Suppose 0*t = -t - 7. Let c be (t - 1)\/(-1 + 0). Solve -2*y + l*y = -c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*i - 50 = -10, -4*z + 56 = -4*i. Suppose z*b - 9 = 39. Solve -2*p = b*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12002241 (base 5) to base 4\nAnswer: -122302000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 22*k + 4. Let m(x) = -21*x - 3. Give -2*i(v) - 3*m(v).\nAnswer: 19*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29580 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 0*u - 2*u - 8*u**2 - u + 2*u**2 + u + (u - 3*u + u)*(-3*u + 2*u + 0*u) - 2*u**2 + 0*u**2 + u**2.\nAnswer: -5*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60\/403 - 2\/403. Which is the fourth biggest value? (a) 2\/15 (b) -0.14 (c) r (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b**3 + b**2 - b + 1. Let u be j(1). Let w = 25 + -15. Calculate the greatest common divisor of u and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -893\/9? (a) -4 (b) 0.2 (c) 4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -300?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/3))\/w**(-6\/11)*(w**1*w)**13 assuming w is positive.\nAnswer: w**(898\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107924 divided by 7.\nAnswer: 107924\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 460 - 460. Are i and 3\/61 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 16*u + 18 = 0. Let h(s) = 6*s + 50. Let m be h(u). Put 0.3, m, 0.4, -2\/17 in decreasing order.\nAnswer: 0.4, 0.3, -2\/17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13298 - -13297. What is the nearest to -11 in d, 44, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29502.6 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*a - 5920, 0 = -5*b + 2*a - 38549 + 9003. Let w = 71041\/12 + b. What is the common denominator of w and (192\/(-30) - -7) + 2 + 14\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**2 - 15*h**2 - 28*h**2 - 13*h**2 + 34*h**2. Let u(g) be the third derivative of -3*g**4\/8 + g**2. Determine u(y(r)).\nAnswer: 162*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + g**2 - g. Let z(o) = 9*o + 3*o + 46*o + 50*o - 20*o. Determine k(z(f)).\nAnswer: 7744*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*s + 2*t, 5*s - 3*t - 208 + 207 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.4 + 11.6. What is the fourth biggest value in i, -2, 3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573643 is divided by 3563.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 1. Let k be i(19). Let d(s) = -8*s - 57. Let r(f) = -5*f - 38. Let t(g) = -5*d(g) + 7*r(g). Is t(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -1\/18*h**4 + 4\/9*h + 1 - 34\/27*h**3 + 2\/3*h**5 + 1\/9*h**2. Solve m(i) = 0.\nAnswer: -1, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8 + 0*i**2 + i**2 - 10*i**2 wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 <= -242772\/5251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 30790*a - 17730725.\nAnswer: -5*(a - 5515)*(a - 643)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 6*n + 36 - 3, 6*l - l + 2*n + 62 - 78 = 5*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m*p**4 + 5514*m*p**3 + 4*m*p**2 + 22065*m + 2*p**4 - 2*p**2 wrt p.\nAnswer: 48*m*p + 33084*m + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2816885392 + 2.\nAnswer: 2816885394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 10*u**2 + 6*u - 7. Let z(p) = p**3 - 7*p**2 + 4*p - 5. Calculate 5*f(a) - 7*z(a).\nAnswer: -2*a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a - 12. Suppose 5*z - 14 + 4 = 0. Let g be (z - 3)*-6 + 1. Solve -2*n - d - g = 0, 0*n - a*d - 10 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24184 - 2*o**2 - 24184.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*1)\/(6 + 0 + -7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:37 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/741 and 68\/99159.\nAnswer: 24492273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144722.88 months to decades.\nAnswer: 1206.024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. What is the second derivative of z - 2*z**2 + 6*z**d - 2*z**2 wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n + t - 44, 3*n = 5*t - 64. Let u = n + 25. Suppose 0 = -2*d - w + u, -d + 5*w = d. Solve -3*i + 2*i + 28 = -d*p, 10 = -5*i - 5*p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kckkkkkkkkkk. What is prob of picking 3 k and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -10. Suppose 0 = -3*f - 8 + 2. Let h be 2*(f - 3\/(-4)). What is the nearest to d in h, 3, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.0838 * 2\nAnswer: -6.1676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1080 by -60.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3928 (base 15) to base 3\nAnswer: -121201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -5, 47, 0 in increasing order.\nAnswer: -5, 0, 1\/2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = l + 192, i - 5*i + 762 = -2*l. Suppose 0 = 3*p - 0 - i. Let o(n) = -3*n - 8. What is the remainder when p is divided by o(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 18. Let w be x(-13). Suppose -w*p - 12400000 = -10*p. What is p rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {f: 3, t: 3, m: 6, h: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.8 + -9. Let p(m) = m**3 - 6*m**2 - 3. Let c be p(6). What is the third smallest value in a, c, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 10544.\nAnswer: 37\/10544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 7 (c) -0.166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98856423, 98856424, 98856425, 98856426?\n\"Answer: n + 98856422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.3, -3\/1462, -15 in decreasing order.\nAnswer: 0.3, 1\/5, -3\/1462, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6653 divided by 2.\nAnswer: -6653\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4492762332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**2 + 4*p - 2. Let n(s) = -8*s**2 - 5*s + 3. Give 5*a(j) + 4*n(j).\nAnswer: 3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-28))\/(5\/(-90)*-9)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.11 - -1. Let p = z - -3.11. Let m = p + -2. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30*(-1)\/6*948\/420*7\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 24\/7 (b) -1\/2 (c) -45\/4 (d) 2 (e) 4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1829342*f**3 + 720198*f wrt f.\nAnswer: -10976052*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139188216.\nAnswer: 2, 3, 5799509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15516*b**3 - 184*b**4 - 15516*b**3)*((-3 + 6 - 2)*(1 + 1 - 4) + 1 - 4 + 4).\nAnswer: 184*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -63. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1208403 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2330 - -230672\/99. Let s = -1794491\/9 + 199391. What is the common denominator of n and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 3*v - 12, -16 = -5*v - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*g - 0*g + 15, -4*g = -2*h - 20. Suppose -51 = -2*o - a, -4*o + 2*a + 114 = -h*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, -2, 6\/59 in ascending order.\nAnswer: -2, -0.5, 6\/59, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -178 and 10207.69.\nAnswer: 10029.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivp when three letters picked without replacement from {i: 1, a: 2, v: 2, p: 1, g: 2, b: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r. Let z = -0.11 - -0.21. What is the nearest to r in -0.5, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (62483 - 62483 - 3176*l)*(5*l - 2*l - 2*l - 2*l + 0 + 0 + 4*l - 5*l - l + (1 + 0 + 1)*(2*l - 5*l + l)) in the form v*l**2 + b + w*l and give v.\nAnswer: 22232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -545\nAnswer: -4\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1601.\nAnswer: 5\/1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n + 178. Suppose -99 = -3*g + 3. What is the remainder when d(g) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1046603 or 1046593?\nAnswer: 1046603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(147)))**2 - sqrt(147).\nAnswer: -133*sqrt(3) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82019320 to the nearest integer?\nAnswer: 9056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 2\/97 bigger than -0.79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, y: 4, v: 3, q: 1, d: 1}. Give prob of picking 1 q and 1 y.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-708)\/(-10) + (156\/30 - 6) is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 29 = 3*c, 142298*w - 142297*w = c - 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1589 plus 0.2?\nAnswer: -1588.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 444396550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 17 = -22. Let l be (-4)\/6 + 38\/(-6). Let x = l - p. What is the lowest common multiple of 16 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*j - 47 + 18 = 0, 0 = -g + j - 9. Let v = -1 - 0. Let d = 4003\/62 - 129\/2. Which is the nearest to d? (a) 3 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l**(2\/15)*l*l)))\/l)**(33\/4) assuming l is positive.\nAnswer: l**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 21.4. Let x = -16 - -15.1. Let g = x - -0.6. Which is the nearest to -1\/3? (a) -4\/9 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2497*z**2 + 17453*z + 17. Calculate d(7).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0686 + -2.\nAnswer: -3.0686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 804547 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/((-2)\/6). Let z be 3 + 0*(0 - h). What is the third derivative of -z*y**2 - 8*y**5 + 4*y**5 + 0*y**5 wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 2*x - 3*x + (1 - 1 - 2)*(2 - 2*x - 2) - 3*x + 3*x + 2*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojjo when four letters picked without replacement from {o: 7, j: 6, n: 1, g: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 115014, 228640, 342264, 455886?\n\"Answer: -g**2 + 113629*g + 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55552.4 times -0.028?\nAnswer: 1555.4672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/5 + ((-15)\/(-3))\/25. Put i, -19, -2 in ascending order.\nAnswer: -19, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 650754589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = -2*i, 3*i = 2*x - 10 - 7. Suppose 4*f + x*p = 676, f = -5*p + 6*p + 171. Suppose -t - 275 = -3*j, 0 = 2*j - 4*t + 6*t - f. Does 39 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 7, z: 3}. What is prob of sequence yx?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -309 or -2173\/7?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -645.7 + 808.66. Let y = u - 163. Which is the closest to y? (a) -0.3 (b) 3\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -61. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -f + 2*l - 2, -f + 5*l = -17. Suppose -1 = 3*h - 4*y, 4*y = 5*h - 3*h + 6. Suppose h*j - 1 = 19. Put -2, f, j in ascending order.\nAnswer: -2, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -364?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(2 - 10\/8). Let z(f) = -f**2 - f + 2. Let q be z(i). Let n = q + 30. What is the highest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 901\/5298 - 3\/883. Which is the biggest value? (a) -0.3 (b) u (c) 151 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 7262.\nAnswer: 1\/7262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 4*c - c)*(6 + 3 - 2).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-141)\/235 + 77408\/30 + 12\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*p = -2*q, 2*p = -q - 2*q. Suppose -4\/7*h + q - 1\/7*h**2 = 0. Calculate h.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q**2 + 5*q + 1. Determine y(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1942 + 2566. What is the highest common divisor of 39 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11aa298 (base 11) in base 14?\nAnswer: 3c68d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -17) + -11 - 1*3. Let o be 1\/4 + 1\/(-4). Suppose 156 = -b*n - o*n. What is n rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1455 + -19255. Round l to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 5*n**2 + 6*n - 1. Let y be p(4). Suppose y = -4*l - 9. What is the units digit of (l + 2 - -2) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 524331 and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11*p\/(p\/(((p\/(p**(-1\/9)*p))\/p)\/p)))**27 assuming p is positive.\nAnswer: p**246","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k - 274 = 2*t, 2*t = k - 135. Let p = k - 2087\/15. Put 0, -3, p in ascending order.\nAnswer: -3, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001.9214 months to years.\nAnswer: 83.49345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 9*k + 13. Let t be n(9). Suppose -10 = 2*y, 6*s - 10*s + y + t = 0. Is 9 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14091*x + 931. Let a(h) = -829*h + 55. Let s(o) = -70*a(o) + 4*k(o). What is the derivative of s(d) wrt d?\nAnswer: 1666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 5:44 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2 + r**2 + 0*r**3 - 4\/3*r - 1\/6*r**4. Factor g(z).\nAnswer: -2*(z - 1)**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -295\/352017?\nAnswer: -295\/352017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*s + 105*s = -15. What is the highest common factor of s and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -6) + 20 - 17.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -71. Which is the third biggest value? (a) 2\/11 (b) i (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 + 7 + -3 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131978.\nAnswer: 2, 53, 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1 + -1)\/2. Suppose -4*y + 4*i + 8 = 0, 8*y = 4*y - 5*i + 8. Is y*77*d\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -153, 23, 22, 4 in decreasing order.\nAnswer: 23, 22, 4, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15801.61 - 3919.\nAnswer: -19720.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.05 - -0.05. Let t = 2.7 + -3. Sort t, j, -2 in ascending order.\nAnswer: j, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 7*b - 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2153, -2167, -2177, -2177, -2161, -2123, -2057, -1957?\nAnswer: -1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 571205 + 12*b - 571205. Let y(n) = n**2. Determine y(p(q)).\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - sqrt(1008)*-1)*-3 + (sqrt(1008) - 2*sqrt(1008))*4)\/((sqrt(288)\/sqrt(72))\/(sqrt(16)\/sqrt(4)*3)).\nAnswer: -360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c + 52 = -0*c - 5*m, 0 = -7*c + 4*m - 2*m - 36 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 136012?\nAnswer: 40803.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 70. Let n = 48 + u. Let m = 22 - n. Sort m, 3, 1.1 in increasing order.\nAnswer: m, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7726391 microseconds to days.\nAnswer: 0.00000000002051665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + 1.9. Let p = 130.9 + -131.1. Which is the closest to -4? (a) -1\/3 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 9*v**5\/80 + 7*v**4\/24 - v**3\/3 + 65*v. Factor h(i).\nAnswer: i*(i + 2)*(9*i - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177 + 177.4. Put 3, r, 8 in decreasing order.\nAnswer: 8, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -22. Put -0.1, s, 3\/7 in ascending order.\nAnswer: -0.1, 3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 19*a - 16. Let p be b(20). Let j = 204 + p. Is j a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119053.59 months in decades?\nAnswer: 992.11325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 22*x - 0 - 160 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 55415*j + 0 - 14297*j.\nAnswer: -69712*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) 14 (c) 3\/5 (d) -5 (e) 6 (f) -1654\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -4, 0.061.\nAnswer: -4, 0.061, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7827*x - 749346 = 1780*x for x.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*c - w + 3, -4*c - w = -12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 124 = 2*n, 0 = 5*n - 4*o - 194 - 123. What is the remainder when 330 is divided by n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15098448, -15098452, -15098456?\nAnswer: -15098460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -11\/7 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 504071\/18 + -27996. Calculate the common denominator of i and -81\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1063 + 17065. Is 88 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/15)\/((-2)\/(-99)). Suppose 0 = 4*f + v + 10. Let g = f + 45. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 10:13 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 1, n: 2}. What is prob of sequence jt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*r - 1653 - 3137 = 796 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-2)*10\/((-180)\/86646).\nAnswer: 7, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 0.2140098.\nAnswer: 2.3541078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 2, 0.8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(216))\/sqrt(8) + 5.\nAnswer: -3*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-12)\/(-3) + 0. Solve 3*w + 25 = m*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102733920 and 648?\nAnswer: 102733920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20)\/(-12 + (-520)\/(-50)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 + -7)*(0 + 20). Let w be z + 0 + (-1 - 1). Suppose -w = -l - 2*l. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15670804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 670 = 5*h - 5*r, -h - 2*h - 4*r + 416 = 0. Is 49 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84700949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*m + m. Let k(g) = -2 + m - 4*g. Let x(y) = 2*y**2 - 3*y. Let j(s) = -2*s**2 + 2*s. Let u(q) = 3*j(q) + 2*x(q). Determine k(u(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 g, and 1 s when four letters picked without replacement from vgggvggvugvgsvvv.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**6\/60 + p**5\/15 + 7*p**4\/12 + 4*p**3\/3 + 12*p**2 - 19. Let j(t) be the second derivative of q(t). Solve j(n) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.023 - -0.023. What is the third biggest value in 0, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, x: 1, p: 3, e: 3, r: 1}. What is prob of sequence xer?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (-5 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3\/2)*c\/(c*c**37*c))**(2\/15))**(-47))**(-2\/83) assuming c is positive.\nAnswer: c**(-7426\/1245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 530*k + 2311426 - 2343226 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -5 (b) 4 (c) -2\/93 (d) 2\/13 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcrrrjcjjcc. Give prob of picking 4 r.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23416\/105 + -223. Let h(t) be the second derivative of 0*t**3 + w*t**7 + 0 + 0*t**4 - 1\/50*t**5 + t + 0*t**6 + 0*t**2. Factor h(g).\nAnswer: 2*g**3*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2. Let h(u) = 15*u**2 - 4*u - 8 + 10*u + 2. Let j(r) = -14*r**2 - 5*r + 5. Let v(m) = -5*h(m) - 6*j(m). What is -6*c(i) - v(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 4*n - 62, -2*n + 24 = f. Calculate the highest common divisor of 55 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(24)*-4)\/sqrt(8)*-6 + -1*(-2 + sqrt(147)) + sqrt(147) + 5)**2.\nAnswer: 192*sqrt(3) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31250 and 1130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(60\/(-6)))\/(2\/(-1))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 45*j**2 + 564*j + 11806. Determine v(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9942 is divided by 174?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 2*o**2 + 2*o**2)*(-o**2 - 3 + 5*o**2 - 6*o**2).\nAnswer: -4*o**5 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 434*c - 2*c**2 + 395*c + 147 - 829*c. Let p(t) = 3*t**2. Determine p(q(j)).\nAnswer: 12*j**4 - 1764*j**2 + 64827","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100005 - -99996.2838. What is q rounded to one dp?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -4*(-35)\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*g = -30, 2*g + 2*g + 21 = k. Let h = 6932 + -6884. What is the highest common factor of k and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 34. Let q(a) = a**2 + a + 1. Let s be q(-2). What is d in -25 + w + 12*d**4 + s*d - 9*d**2 = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210 - -519. Find the third derivative of 309*x - 6*x**2 - x**3 - b*x - 2*x**3 wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 37*p**2 + 33*p - 876. Let v be l(37). Solve -6*h = -v + 375 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4023478ug to tonnes.\nAnswer: 0.0000000000004023478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + 535\/10. Let x = h + -55. Is 16 a factor of -480*(x - (-32)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 16, 3, -3 in decreasing order.\nAnswer: 16, 3, 1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*g**3 + 4099 + 4065 - 8226 to w*g**3 + n*g + i + k*g**2 and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1849582 is divided by 1298?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 4*c + 164. Let h = c + -1. Let x be (-12)\/h - 2\/7. Solve -3*v + x*v + 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 105*m - 500. Let z be b(5). Solve z = n + 9*f - 10*f - 3, -2*n + 4 = -3*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 123, -319, -28 in ascending order.\nAnswer: -319, -28, 9, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/580 and -123\/290.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/2 + 95*a**4\/2 - 1805*a**3 + 34295*a**2 - 651605*a\/2 + 2476099\/2 = 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, -0.6, -0.4.\nAnswer: -2.5, -0.6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129912453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 23*r - 24*r - 4 = 0, r = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275513786?\nAnswer: 2, 137756893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(0 - 1) - -8. Let g(u) = 3*u**2 - 9*u + 4. Let p(v) = -v**2 + v - 1. Let z(x) = -g(x) - 2*p(x). What is the units digit of z(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*i + 20807 + 515264 = -1395606. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52\/21 - 22\/7. Let i = -3071 - -3071.4. Which is the nearest to -3? (a) 0 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -17*n**5\/6 + 1620*n**2 - n - 2. Let g(w) = 15*w. Calculate u(g(h)).\nAnswer: -38250*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -6)\/((-1)\/(-2)) + 1. Let q be ((-15)\/(-6) + s)\/(3\/4820). Suppose -3*m = k - 1095 - q, 4*k + 8 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39593*i + 215*i**2 + 172*i**2 + 39594*i - 4 to the form o + x*i**2 + c*i and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j + 17*j**5 + 48*j**5 + 33*j**5 - j + 5*j**5 wrt j.\nAnswer: 2060*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10651, 56586, 137805, 254308?\n\"Answer: 17642*h**2 - 6991*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.3. Let q = -1236 - -1222. Sort q, w, 0.4.\nAnswer: q, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.331 and 2773835.097?\nAnswer: 2773839.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1940, -3182, -3720, -3548, -2660, -1050, 1288, 4360?\nAnswer: 8172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 20 = 4*l, 4 = -4*c + 2*l - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 15. Let r = y - 10. What is the third derivative of -5*v**3 + 4*v**2 - 2*v + 2*v - r*v**2 wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 79 = 57. Let d(c) be the first derivative of 10 + 0*c - 7\/2*c**n - 17\/3*c**3. Find the second derivative of d(q) wrt q.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -6, -829.\nAnswer: -829, -9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 20. Let o be 611991\/(-18) + (-1)\/g. What is o rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, 90, -3, -40 in increasing order.\nAnswer: -40, -3, 5, 17, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**3\/3 - 2*x**2 - 5*x + 20. Let i = 3 + 2. Determine w(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41265\/39 - 5\/65.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13860 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a + 29. Let y = 7 - 7. Calculate the remainder when s(y) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2636, -2, 22 in ascending order.\nAnswer: -2636, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 2*i - 3*i)*(-30 - 27 + 12).\nAnswer: -180*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - 385*p + 210*p - 752*p.\nAnswer: -914*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60119 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q + 3*q - 4*q - 2*q + 3*q + 5*q + (2 + 2*q - 2)*(0 - 4 + 3) + q + 2 - 2 + q - 2*q + 4*q + q + 0*q - 5*q to r + t*q and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 60. Calculate the greatest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/42*(-132)\/(-99).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16 + 4 - 80 - 255*s + 2 - 77. Does 15 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.248 - -2.292. What is i rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807.75 nanograms in grams?\nAnswer: 0.00000380775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25)\/100 - ((-25)\/4 - -1). Solve 4*b + 27 - 3 = 4*a, a + 12 = -k*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 13*k**2 - 31*k - 4. Suppose 4*z = -0*z + 80. Calculate the remainder when z is divided by o(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152366 (base 8) to base 14\nAnswer: 15c22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 37 = 2*i - 23, -5*i + g = -138. Suppose 0 = i*b - 28*b + 2. What is the tens digit of 5*(4 + b) + (-2 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Suppose 0*d = 4*d + 8. Let t(i) = -3*i. Let a(v) = -9*v. Let z(g) = d*a(g) + 7*t(g). Give z(s(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, -15, -2 in decreasing order.\nAnswer: 12, 0, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y - 352. Let z = y - -126. What is the remainder when z is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5332 and 250108?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 60120 = 4*r, -r = -39 + 35. List the prime factors of s.\nAnswer: 2, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**8\/504 - 2*s**7\/315 + s**6\/60 + 2*s**5\/45 - s**4\/9 - 4*s**2 + 4. Let u(h) = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/11))\/y)\/(y*y**(-3)\/y)*(y*((y*y**0)\/y)\/y*y*y*y)\/(y**(-2\/25)\/y)*((y\/(y**6\/y))\/(y**2\/y))**(-2\/73) assuming y is positive.\nAnswer: y**(148531\/20075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -15) + (4 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50902*z - 953*z**2 + 25448*z + 25454*z.\nAnswer: -953*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t - 86 + 99. Let v(a) = -a**3 + 7*a**2 + 7*a + 10. Let b be v(8). Calculate the greatest common factor of b and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261\/(-81) + (8 - 5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-4)*(-52)\/39)\/((-7)\/(-14) + -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124014 and 9834?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 - 3*m**2 - 2*m + 2. Let q(p) = -2*p**2 + 3*p + 2. Let b be q(3). Let i(t) = 10*t**3 + 10*t**2 + 7*t - 7. What is b*n(w) - 2*i(w)?\nAnswer: w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -54*b**2 + 66*b + 484. Let y be r(-6). Are -1855 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -4951*c**2 - 4101*c + 10161. Differentiate t(u) wrt u.\nAnswer: -9902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9800 = -2*i + 9*i. Suppose -5*r + i = a, 2*a - 355 = -2*r + 197. List the prime factors of r.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -26. Let r = -52 - y. Let p = r - -44. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8406137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 16*n + n + (2 - 3 - 1)*(-n - 2 + 2) - 3*n + 6*n - 4*n to the form o*n + f and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195 - -357. Calculate the remainder when v is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/4 - 5*t**3\/3 - t**2\/2 + 4*t + 142. Determine j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 599 by -87510.\nAnswer: -599\/87510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 181636. Let i(z) = -4*z**2. Give t(i(c)).\nAnswer: 8*c**2 - 181636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.1, -6208, 163 in descending order.\nAnswer: 163, 0.4, -0.1, -6208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/((j*(j*j\/((j\/j**5*j)\/j))\/j)\/j*j)*j**(2\/5)\/(j**(3\/5)\/j))**(-34) assuming j is positive.\nAnswer: j**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/36*(6\/21)\/(6\/(-56))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25054)\/4 + (-6)\/10. Let v = u - -6275. Find the common denominator of v and 73\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12125 divided by 5.\nAnswer: -2425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) -0.6 (c) -2861 (d) -1 (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7270 - -7269.8. Let s be (-6)\/(-9) + 3\/(-4). Which is the second biggest value? (a) 0.5 (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 25, -4, 11, -3, 21 in decreasing order.\nAnswer: 25, 21, 11, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from gjvjddddjgjdaudg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 25. Let a = -18 + i. Sort a, 5, 3.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7656511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104118 and 684204.\nAnswer: 4789428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*v + v - 11 = 0, -4*v + 69 = -5*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - 0.88. Let j = -0.0149259 - 0.7850728. Let p = o - j. What is p rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - 19 - (14 + 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 476 - 64 = 0. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o - 25. What is the remainder when w(4) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621013.5 kilometers to meters.\nAnswer: 621013500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10456409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*l + 26, 0 = 4*j - 2*l - 2*l - 24. Suppose j*b - 2*b + 535 = 0. Let c = 12 - b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86927765+-151384\nAnswer: -87079149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -40*d**3\/3 + 25852*d**2 = 0?\nAnswer: 0, 19389\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.032, -4.453, 99?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 4. Suppose 3*j - 3*u = 3, 2*u + 12 = -0*j - 3*j. What is the closest to 5 in f, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13876 + (7 + 335\/(-45))*-9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 9) to base 13\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -844 divided by 2?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2 + 2006484*a + 4451274?\nAnswer: 4*a + 2006484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r - 192 = 0. Suppose -5*q + r = 2*g, 5*q + 3*g = 31 + 21. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 132\/182 + ((-891)\/1890 - 1\/10). Which is the nearest to 3? (a) -1\/9 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -147*o + 4. Let z be t(6). Let f be z\/(-5) - 8\/(-20). Calculate the greatest common factor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**4 - 7*h**3 - 16021*h + 15975118?\nAnswer: 4*h**3 - 21*h**2 - 16021","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -139784.58 times 0.048?\nAnswer: -6709.65984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:06 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -256 (b) -1\/8 (c) -8957 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3205, -25486, -85903, -203524, -397417, -686650?\n\"Answer: -3178*v**3 - 35*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1, -3 in increasing order.\nAnswer: -29, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 22*j**4 + 12*j**2 - 3*j + 3. Let z(a) = -21*a**4 - 12*a**2 + 2*a - 2. Let h(r) = -2*l(r) - 3*z(r). Find the third derivative of h(f) wrt f.\nAnswer: 456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1749958712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 18896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 0 - 1\/24*z**4 - 4*z + 1\/2*z**3 - 2*z**2. Let m(j) be the first derivative of y(j). Differentiate m(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-65))\/(12\/600). Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 + 134*w - 3 + 168*w.\nAnswer: 302*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.046, -3, 3, -1.27056?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-4080)\/(-192))\/17)\/(135\/(-75)*(-5)\/(-4))\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 318*f**2 + 57*f + 7737. Give q(-159).\nAnswer: -1326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l - 780 = 33*l - 10*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*j - 8820773 + 307567 = 0. What are the prime factors of j?\nAnswer: 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 at most -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*f + 2 = -5*f, 4*i = 4*f. Suppose y - i*o = -3 + 2, 0 = -4*y + 2*o + 2. Let c(m) = 147*m**3 + 2*m**2 - m. Does 37 divide c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*z - 456 = -3*a + 305*z, 5*z = 30. Calculate the highest common divisor of a and 1269.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(102)*-1*-2 - sqrt(102)))\/(sqrt(726)*-1 - -6*(sqrt(6) + sqrt(12)\/sqrt(2))) + 5.\nAnswer: -2*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 + 9 = 0. Solve l = 2*w - 4*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/54 and -6 - ((-4640)\/30)\/(-8).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 times -48512.81?\nAnswer: 16251791.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 464170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 994 - p - 449 - 421 to the form i + o*p and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34942, -69494, -103658, -137434, -170822, -203822?\n\"Answer: 194*u**2 - 35134*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -412 != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2))**(-6\/19)*q\/(q*q*q*q\/q**(-1))*q*q*((q**(2\/3)\/q)\/q)\/q*(q**(5\/2)*q**(-1\/3)\/q)\/(q**6\/(q*q**(-3)*q*q)) assuming q is positive.\nAnswer: q**(-1063\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5016.5 + 5016. Which is the smallest value? (a) y (b) -80 (c) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/25 in 0, 4\/5, -48.6, 5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/63 + 2\/7. Let c = -0.28 + 0.48. Let u = c - 0.5. What is the smallest value in -0.5, g, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 200142?\nAnswer: 200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/3 - 58\/15. Put 2, 1, u in decreasing order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*f - 5838 + 5838)*(-4 + 3 + 2)*(4 + 1 - 2).\nAnswer: -84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + -2.04. Suppose -33*w + 40*w + 1400 = 0. Let g be 120\/w + 74\/90. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2299))*4 - ((sqrt(228) + -1*sqrt(228))\/sqrt(12) + sqrt(171)\/(sqrt(36)\/sqrt(4))))**2 + 4.\nAnswer: 344*sqrt(19) + 35151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4 + 205493*i**3 - 34*i**2 + 355786839*i.\nAnswer: -24*i**2 + 1232958*i - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/24*92\/(-138)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269, -785, -2, 5, -1\/3 in decreasing order.\nAnswer: 269, 5, -1\/3, -2, -785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqeeeeqqeeee. What is prob of sequence qqeq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -512 + 511. What is the closest to y in -3, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 14*r**2 - 20*r - 69. Suppose 4*x = -w + 47 - 74, 2*w = -3*x - 39. Give c(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/6 (b) 1\/2 (c) -0.011 (d) -185 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5807*s - 396. Determine t(0).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.08, 8\/19, 28, -4?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 280\/219 + 4\/73. Let u = -158 - -159. What is the second smallest value in -2\/13, f, u, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1974 - -1979. What is the second smallest value in h, -0.3, 0.052, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. Let g = -22 - -33. Calculate the remainder when g is divided by 4\/((2\/2)\/k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -495*w. Let d(k) = 55*k. Calculate 55*d(q) + 6*i(q).\nAnswer: 55*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*m - 4*m**2 - 2*m**3 - 7 - 15*m - m**2 to the form i + b*m**2 + t*m**3 + w*m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - b**5 + (9 + 8 - 8)*(b**5 + b**5 + 0*b**5))*(-4 + 2 + 0) + b**5 + b**5 + b**5.\nAnswer: -31*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -197, -250, -323, -416, -529?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-665)\/(-1045)*7\/(441\/3).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 330 - 329.8. Which is the smallest value? (a) -0.5 (b) 7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c72 + -2?\nAnswer: c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13 + 51 + d**4 - 4*d**3 - 16*d - 1036*d**2 + 3*d**4 + 988*d**2.\nAnswer: 4*(d - 4)*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -205, -207, -209, -211, -213?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 1484.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let y be (2 - 3\/3)\/((-4)\/(-20)). Let o be 3\/(-2)*((-75)\/9 + y). What is the third biggest value in o, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 10*l**2 + 5*l. Calculate n(9).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1013 - 410. Let g = 602 - c. Let s(q) = -4*q**2 + 0 + 0*q**3 + 3*q**3 + 1. Let j(h) = -h**3 + 1. Give g*s(p) - j(p).\nAnswer: -2*p**3 + 4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 5*t - 35, 23 = -5*o + 189*t - 188*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 47 = -11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*0.497141.\nAnswer: -3.479987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 6*i**3 + 4*i**2 - 3*i**2.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 60682*s - 2303027. Give w(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-34)\/l*l**12)\/(l**5\/l**(-25)) assuming l is positive.\nAnswer: l**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/270 + 7*z**5\/45 - 68*z**4\/27 - 104*z**3\/9 + 17*z**2 + 8*z. Factor r(u).\nAnswer: 4*(u - 6)*(u + 1)*(u + 26)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 11*g**2\/2 - 3*g + 2. Does 9 divide j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 4 = 0. Suppose -2*f = -6, 9*f = -v + b*f + 16. Calculate the highest common factor of 5 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*u + 8, -16 = r + 4*r + 4*u. Suppose r = n - 2*w, 4*n - 32 = -5*w - 6. Solve -n*l**2 + 3*l + 3*l**2 + 0 - 2 = 0 for l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5047.707l?\nAnswer: 5047707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -4, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -140 and 76855.\nAnswer: 76715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**4)\/(b**3*b))\/(b**(-14)*b\/(b\/b**(5\/2))))**(-39) assuming b is positive.\nAnswer: b**(-351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -c0d09c0?\nAnswer: c0d09c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (0 + sqrt(539) + 4 + sqrt(539) - sqrt(539)))**2 - (sqrt(539) - (-4 + sqrt(539)*1))) + ((sqrt(539) + sqrt(539)*-1)*-1*5)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5 - 95*g**4 + 1431*g**3 - 3465*g**2 = 0. What is g?\nAnswer: 0, 3, 15, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3672754892?\nAnswer: 2, 25577, 35899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-7) + (-18)\/63. Let l(u) be the second derivative of -u**4\/12 + 2*u**3\/3 - u. Let b be l(k). What is the nearest to 0.2 in 0.3, 1\/8, b?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -264583 or -262645?\nAnswer: -262645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9487834*z**6 - 20785*z**2 - 128?\nAnswer: -1138540080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 85 = 10*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t - 89 = 75. Solve -2*d = -5*s + 8, 0*d - t*d = 3*s - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5 - (-1 + -9)) + -26 + 52 + 7.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 8799584?\nAnswer: 114394592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3\/6 + 625*u**2\/6 + 9280*u\/3 - 10240.\nAnswer: 5*(u - 3)*(u + 64)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 0*r**2 - r**2. Let u(y) be the first derivative of -y**6\/360 + y**3 + 2. Let j(z) be the third derivative of u(z). Calculate j(c(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:53 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 = -2*q - 5*d, 0 = 4*d + 12. Solve -3*k = -q*o + 11, o + 2*o - 18 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*m = 3*n + 216*m + 15, -n = -4*m + 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(832) + -1)*-2.\nAnswer: -16*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**5 - 9*q**5 + 3*q**5 + (-2*q**3 + q**3 + 0*q**3)*(2*q - 2*q + 2*q)*(-2*q + 0*q + 3*q).\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l**3 + 95*l**3 + 75*l**3.\nAnswer: 147*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-5 - -12) + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 7, x: 9, m: 2}. What is prob of picking 2 x and 1 m?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1792*k - 1816*k + 48 = 0. Let c(u) be the first derivative of u**2\/2 + u - 2. Let d(i) = 5*i + 1. Calculate k*d(p) - 2*c(p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 3*i + (i + 3*i - 2*i)*(0 + 2 - 1) - i + 6*i - 2*i)*(-402 + 834 + 305).\nAnswer: 5159*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 17. Let j(m) = 2*m + 9. Give -7*j(o) - 4*q(o).\nAnswer: -2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-2) - -1) + 3\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-10) - (-12)\/10. Let t(c) = 1 - 3*c - a. Give t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and 7271.63?\nAnswer: 312680.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-35)*7\/7)\/((-254)\/(-33782))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*u - 2*u. Let t(y) = -y**2 + 9*y - 5. Let j be t(7). Let v(n) = 2*n + 2. Let h be v(j). Calculate the greatest common divisor of h and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - n**2 + n. Let t(m) = 5*m**3 - 4*m**2 - 5*m. What is -t(o) + 4*v(o)?\nAnswer: -o**3 + 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4\/5 - 9762*u**3\/5 - 29331*u**2\/5 + 58602*u\/5 + 78168\/5 = 0.\nAnswer: -4, -1, 2, 3257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 33 - 2)*(-4 - n + 4 + (-4 + 2 + 0)*(-n - 4 + 4) + 2*n - 2*n + 2*n).\nAnswer: 138*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*n + 2 + 81, -2*s = -5*n - 188. What is the remainder when s is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/8)\/((691713\/(-7672))\/(-459))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194.5283 + 22.449. Let s = -283 - -66. Let t = o + s. What is t rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y - 2. What is the nearest to y in -3, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 926.45 and 916.\nAnswer: 1842.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i*o**3*s + i*o**2*s + i*s - 3*o**3*s - 7*o + 4*s wrt o.\nAnswer: 48*i*o*s + 2*i*s - 18*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 - 29*c**2 + 14*c**2)*(880*c**2 - 190937*c + 190937*c).\nAnswer: -17600*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56333535?\nAnswer: 3, 5, 181, 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125924 = -15*l + 19*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**2 - 7*b + 3. Suppose 2*m + 4*u = -36, -m = -8*u + 3*u - 17. List the prime factors of d(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121127 is divided by 5506.\nAnswer: 5501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**2 - r**2)*(-2*r**2 + 2*r + 4*r**2 + 0*r) - 3*r**3 + 3*r**3 + 2*r**4.\nAnswer: -4*r**4 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, x: 1, z: 4, a: 1, n: 4, s: 4}. Give prob of sequence sxzs.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 144, 17 in descending order.\nAnswer: 144, 17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1902228, -1902258, -1902288, -1902318?\nAnswer: -1902348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.079 - 38.079. Let t = 42.2 + p. Let c = t + -9.2. What is the nearest to 1\/7 in c, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3377 - -16752\/5. Let q = -27 - b. Let z = 7 - 6.6. What is the closest to q in -0.01, 0.5, z?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/10 - (1 + 0 + 0). Let f(g) = -45*g**2 - 6*g - 26. Let l be f(a). What is l rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -8.7. Let g = 2 + l. Let h = -0.7000056 + g. What is h rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {h: 4, c: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 6. Let v(t) = t - 14. Let x be v(11). Let k = x + 8. What is the least common multiple of k and b(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 4*t**2 + 2*t + 2. Let o be f(-4). Let h = 1 - o. What is the remainder when 51\/4 + 3\/12 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 2 - 2 + 4*k - 3*k + k**2 + 2. Let j(c) = -5*c**2 - 9*c + 9. Determine 2*j(m) + 9*w(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + (-14 - (-10 - (3 - -9)) - 12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 149079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*f - 0*f - 71, 5*a + 5*f = 200. Let g = -41 + a. Let w(i) = 6 - g - 39*i - 4. Let t(z) = z**2. Determine t(w(o)).\nAnswer: 1521*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*l + 4*g, 15*l - 4*g = 50*l - 85 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39\/35022405623 + -52910134324641973\/6545687610938700. Let l = v - 2\/15575. Find the common denominator of ((-234)\/243)\/(38\/21 - 2) and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 divided by -2?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1255 = y + 4*u, y - u - 3*u = 1231. Suppose g = 5*m + 259, 5*g + m = -0*g + y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((0 + sqrt(300) + sqrt(300)*-1 - (sqrt(300) - 2*(sqrt(300) - (sqrt(300) + 2)))) + -5)**2)*-6.\nAnswer: -2304 - 1080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -242, 4, 17, -5 in increasing order.\nAnswer: -242, -5, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 251 + 1181. Suppose 1089 = 5*t - k. Suppose t = 4*o - 295. Round o to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {t: 5, u: 5, q: 3}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z - 16. Let q be l(-7). Solve -6 = -3*i + 3*t, -4*i + 4*t + q = 2*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 55 = 8*v - 3*v, 5*v + a - 35 = 0. Calculate the remainder when 23 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 65. Let d be -493*(-2)\/r*3. Let u = d - -98. Which is the closest to -1? (a) 0 (b) 1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*q - 374*q = 66 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 2. Suppose -9*j - 30 = -4*j. Let v be m(j). Let f be v\/2 - (-6)\/(-6). Solve -2*c - 2 = f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231 + -234 + (-3 - (-2 - -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-294)\/168)\/(63\/72*(-1)\/(-14)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n - 14. Give k(15).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + b - 10 = -2*b, 0 = 5*d - 3*b - 50. Let w(f) = -f**2 + 11*f + 4. Is w(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4581.638823 + -20.327.\nAnswer: -4601.965823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbrg when four letters picked without replacement from {l: 6, r: 1, g: 2, e: 3, j: 4, b: 2}.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 1:55 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**3 + 2*y**2 - 2*y + 1. Let d be v(1). Let n(m) = m**2 + 2*m - 1. Let t be n(1). What are the prime factors of (2 - 1)*d\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2266951?\nAnswer: 47, 139, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 + 2*g**2 - 2*g - 4. Let x(n) = -n**2 + 1. Let z = 127 - 123. What is z*x(k) + j(k)?\nAnswer: 2*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*k + 87 = 5*k, 5*k + 2788 - 3199 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0256 + -2.2744. Let l = -47 + 40.7. Let w = l - c. Sort w, 2, 0.2.\nAnswer: w, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - 0.2. Let w(x) = x**2 - 6*x + 1. Let r be w(6). Which is the nearest to -2\/3? (a) r (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8284944, 8284939, 8284934, 8284929, 8284924?\n\"Answer: -5*p + 8284949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -113, -399, -867, -1511, -2325, -3303, -4439?\n\"Answer: z**3 - 97*z**2 - 2*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7133 - -7132.90073. What is j rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 178*q**3 - q**2 + q + 1. List the prime factors of v(1).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -9) + 2\/(-2). Suppose -z*g + 14 = -11. Suppose 0*u + u - g*a = 7, 5*u + 4*a = 6. Solve m = -u*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -70074?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 4839339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 176794, 176790, 176800, 176830, 176886, 176974?\n\"Answer: n**3 + n**2 - 14*n + 176806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2787\/4643?\nAnswer: -2787\/4643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 218*q**2 - q - 1. Let d be w(-1). Let p = d + -143. Suppose -4*c + 150 = -c. What is the highest common divisor of p and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -417590531 and 0.08.\nAnswer: -417590530.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152))\/sqrt(8) + (2*sqrt(475))**2.\nAnswer: 2*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 802181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*f + 5*t, -6*t = -11*t - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(20 - 9 - 7)*(-6*f**2 - 2*f**2 - 9*f**2).\nAnswer: -136*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -175*j + 317. Let h(l) = -108*l + 212. Determine 8*h(z) - 5*q(z).\nAnswer: 11*z + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 682981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*m + 11, -q - 5*m = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174839487 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793*z - 4*x = 788*z - 65, 5*x = 2*z + 43 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 2*v + v)*(-10259*v + 3 + 6911*v - 3) to k*v + x + g*v**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1155*s - 2512*s + 501*s to o + g*s and give g.\nAnswer: -3166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 24 = p. Suppose -14*n + 37*n = 9*n + 420. Calculate the smallest common multiple of p and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 4*x**2 + x - 2. Let h be k(4). What are the prime factors of 394\/4 + ((-1)\/h)\/(-1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21120, -21120, -21118, -21114, -21108, -21100?\nAnswer: -21090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 8. Let f be (-76)\/12 - 1\/(-3). Let s be d(f). Determine l, given that -8*l + 8 + l**s + l**2 - l**3 - 12 - 7*l**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 4*f**2 + 0 + 1\/20*f**6 + 0*f**3 + 0*f + 1\/168*f**8 - 1\/35*f**7 + 0*f**4 - 1\/30*f**5. Factor n(h).\nAnswer: 2*h**2*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143042864 and 11952.\nAnswer: 1287385776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 + 924*j**4 + 129*j + 41144*j**2 - 41144*j**2 + 0*j**3 wrt j.\nAnswer: 11088*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31423\/(-8978) - (11\/(-2) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 6:03 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 4*p + 1. Let l = 6 + -12. Let t(g) = 5*g**2 - 93*g**3 + g**2 + 94*g**3 - 4. Let m be t(l). Determine x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2868 (b) 217 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2 + 3*t - 2. Let h(p) = p**2 + p. Let o be h(-2). Let d = 4 - 0. Let j be 11\/d - o\/(-8). What is a(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Suppose 5*h - 3*r - 15 = 0, 3*h = 2*h - 3*r + 3. Let l(f) = -9*f + h*f + 0*f + 7*f. What is q(l(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 254413383 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1343.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/((p*(p*p\/p**(4\/3)*p)\/p)\/p))\/(p*p**3*p\/p**(-4)*p))\/((p\/(p**(1\/4)*p)*p)**(-33\/7)*(p**(-2\/3))**(1\/54)) assuming p is positive.\nAnswer: p**(-11609\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 + 1)*(-2 + 3 + 1) + 85 + 61 - 51)*(38*l - 96*l - 14*l).\nAnswer: -7128*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/9 and 37\/52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21391069 and 82591?\nAnswer: 21391069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p. Let j(k) = 3*k**2 - k. Let q(y) = -i(y) - j(y). Let t(x) = 0*x + 3*x + 4*x + 8*x. Calculate t(q(z)).\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -390000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 9*f**2 + 5*f + 11. Let m be k(-10). Suppose 5*y + 54 = 4*b, -2*b - 3*b + 3*y + m = 0. Suppose -3*d + 4 = -b. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*n + 76, n - 133 = -2*n + 2*d. Suppose 0 = -5*y - 0*y + 1280. What is the remainder when y is divided by n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - z**2 + 5*z + 5. Give v(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:10 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31906534 + -31905054.1759. Let x = f - 1480. What is x rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/80)\/((-135)\/120)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3200*b**2 + 2. Let m be v(-1). Let q be 3\/4 + 3 + m\/(-24). Let n(d) = 3*d + q - 137. Let p(o) = -12*o**2. What is n(p(z))?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229032808, 229032803, 229032796, 229032787, 229032776, 229032763, 229032748?\nAnswer: 229032731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 41 - 84 = 4*g, 5 = 5*o - 2*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -231222?\nAnswer: 231154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 211.881 + -212. What is q rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, 85565, -4 in decreasing order.\nAnswer: 85565, 3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.327 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140*s**3*u**3 + 122*s**3 - s*u**2 wrt u?\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 0*y - y)*(-1750 + 1750 + 8*y)*(23 - 36 - 50) to the form d + c*y + u*y**2 and give u.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z. Suppose -27*r = -37*r + 50. Suppose -97*c = -96*c - r. Solve -10 = -z*q - c*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) + (-2)\/28?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -101000?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktt when three letters picked without replacement from kkkktkkkkkkkt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 6 - (-5 + 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*z**2 - 4 - 30 - 24 + 3809*z**2 - 5*z.\nAnswer: 3242*z**2 - 5*z - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 1128390*m - 50777600\/9.\nAnswer: 2*(m - 5)*(m + 5077760)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5 - 2786*y**4 - 1121648*y**3 - 106814960*y**2 - 3798182432*y - 46113200672 = 0. What is y?\nAnswer: -638, -49, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z - 2 - 2*z**3 - 6*z + 8390*z**4 - 8388*z**4 in the form j*z**4 + s*z**2 + h + o*z + f*z**3 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:47 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -g + 4*g + p, 2*g + 5*p + 3 = 0. Let n = g + -4. Suppose -3*x + 7 = -8. Put n, x, 3 in ascending order.\nAnswer: n, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*a + 73*a + 5*a**3 + 26*a.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -3389229759?\nAnswer: -3389229752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280 times -4.7?\nAnswer: 6016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:56 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9396 and 6.\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x. Solve 4*s + 3*o = -7, x = -4*s - 0*s + 4*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*k = 26, -3 = 5*z + 3*k - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 1222*v**3.\nAnswer: 1222*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/23 in -54, 3\/8, 1\/8, -1\/4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14566253 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 22*g - 98. Give a(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63.7 - 64. Sort -0.5, a, 8, 2.\nAnswer: -0.5, a, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 190961*n - 190949*n - 61, -n = 5*y - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 - 337743*g**2\/2.\nAnswer: -g**2*(g + 337743)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*(12 + 350). Let z = r + 177. What is the second biggest value in 0.1, z, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - d. Let x be (2 + d)\/((-6)\/(54*4)). Is -72 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 273\/(-26)*(-4)\/7. Let j be (3 - o)\/3*-27. What is the highest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11\/2 + 4. Which is the closest to -1? (a) o (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 427, 731, 1035, 1339, 1643?\n\"Answer: 304*n + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/4)*d*d**(-6)*(d**(-2\/13)\/d)\/(d\/(d*d**3))*d\/d**3*d**(-3\/5)*d**(-5\/2)*d**(2\/17)\/d assuming d is positive.\nAnswer: d**(-41487\/4420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -13 (b) 0.1 (c) 3\/5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + 3*s)*(13*s**2 + 59 - 59) + 8*s**3 - s**3 - 2*s**3.\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25354 and 12.\nAnswer: 152124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -44 - -3 - 0\/(-1). Let v = k + 62. Let b = -18 + v. Solve -b*i = -3*x - 3, -5*x - 4*i + 3*i - 23 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5142 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from fppfpfppfppffpffppf.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*k + 21. Suppose 7*a = -k*a + 70. Solve 4*o - 4 = 4*s, -5*s - 6 - a = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -10. Suppose 0 = 2*z - 7*p + 2*p + 18, a*z - 5*p + 15 = 0. Find the common denominator of ((-6)\/2)\/(z*(-15)\/(-8)) and 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 5143 = 5221. Let y = -14 + 39. What is the remainder when y is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 38854414*u\/9.\nAnswer: -2*u*(u - 19427207)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/269, 3, -945?\nAnswer: -1\/269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-42))\/(41\/(-123)). What is the fourth smallest value in r, 2\/5, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 40954*q**2 + q. Let p(a) = -a**2 - 11*a - 12. Let j be p(-10). Let d be c(j). Let l = d - 69814. What is l rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 5:21 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118478679.\nAnswer: 3, 11, 3590263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/(-4)*(-8)\/66?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19629395.\nAnswer: 5, 89, 44111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79062267 to the power of 1\/2, to the nearest integer?\nAnswer: 8892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 25*y**2 - 456*y + 3669. Calculate h(10).\nAnswer: 1609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1240)\/(-248)*(-3)\/96*-8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-4)*(-4)\/5. Let y = s - -10. What is the remainder when 13 is divided by 8\/(-3)*(-6)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2) + (-5)\/6)\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**7\/21 - 21*s**6\/5 + 96*s**5 + 512*s**4\/3 - 12*s + 39. Let d(u) = 0. What is u?\nAnswer: -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19126*b**4 + 4199*b**2 + b wrt b?\nAnswer: 459024*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102011 (base 3) in base 15?\nAnswer: 48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2. Let v(k) = -52*k - 228. What is v(n(z))?\nAnswer: 104*z**2 - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 + 35*n + 5. Give d(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/(-15) - (-3)\/5. Suppose -6*s = -i*s + 22. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a + 4 = 0, -u + 349 = -4*a. Suppose -5*y - 3*h = -3*y - 147, 5*h = -5*y + u. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.05035ng in milligrams?\nAnswer: 0.00000805035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-12\/5)*(k**(-1))**(-12\/5) assuming k is positive.\nAnswer: k**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 16*w + 35. Suppose 2*r = -w*r - 36. What is the third smallest value in 4, -2\/11, -1, r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) -5 (c) 0.5 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -62*1\/(-8) + (-1)\/(-4). Solve 5*a + 36 = 4*h, p = a + h + 2*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21760 and 10240?\nAnswer: 174080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(5))*4*-6)**2.\nAnswer: -1152*sqrt(5) + 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1257*g**4 + 1702 + 5*g**2 - 1857*g**4 - 3*g**2 with respect to g.\nAnswer: -2400*g**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6191\/138788 - -1\/2041. Let m = p + 5\/17. Let n(o) = o**3 - 4*o**2 - 2*o + 4. Let w be n(4). Which is the closest to m? (a) 5 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585857.\nAnswer: 585857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 573, 1124, 1685, 2256, 2837?\nAnswer: 3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -17*i**3\/6 - 227*i**2\/2 - 34*i. Let z be n(-15). Solve -4*o + 4*l = -z, -4*l - 10 = 7*o - 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 11*a - 7*a. What is the remainder when a is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**3\/2 - 3*a**2\/2 + 7*a. Let k be m(-9). Suppose y - k - 27 = 0. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.409 - 7.209. Let h(l) = l**3 + 3*l**2 + 2*l + 1. Let o be h(-3). Which is the nearest to u? (a) o (b) 3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32955107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 3*w - w - 2*w + 6*w - w + (-1 + 1 + 1)*(-2 + 2 - w))*(15 - 15 + 20*w**2) as b + v*w**3 + i*w + h*w**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 1287*l**4 - l**3\/3 - 2082*l**2 + 2*l + 3132. What is the third derivative of w(h) wrt h?\nAnswer: 30888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5. Let d(i) = i**2 - 3*i + 1. Let m be d(s). What is the units digit of m\/2 - (-9)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -l + 15. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -26313 in descending order.\nAnswer: 10, 0, -26313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 180 or -96?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2998*l = -103*l + 839*l - 362198 for l.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269398, 538859, 808302, 1077721, 1347110, 1616463, 1885774?\nAnswer: 2155037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i + 12946 = 11212 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1 + 19 = 0. Suppose -187 = 3*u - t + 6*t, l*u = -5*t - 246. What is u rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139667724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/((-9)\/(-5529)) - (-1 - 4).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -16*a**3 - 10*a**2 + 10*a. Let b(h) = -5*h**3 - 3*h**2 + 3*h. Determine -10*b(m) + 3*l(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/((j**(-1\/3)\/j)\/j))))**44\/(j**(-1\/5)\/(j*j**(-12\/13))) assuming j is positive.\nAnswer: j**(28654\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 5. Let q(r) = -6*r - 11. Let g(n) = -6*q(n) - 13*w(n). Let d(i) = 13*i - 5. Give -2*d(o) - 9*g(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441767?\nAnswer: 3, 113, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**3 + 9*h**2 + 6*h + 13. Let b(d) = 3*d**3 + 4*d**2 + 2*d + 6. Give 2*a(r) - 5*b(r).\nAnswer: -3*r**3 - 2*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**4 - 6*t**3 - 4*t**2 + 2*t + 2. Let q(h) = -5*h**4 - 31*h**3 - 20*h**2 + 11*h + 11. Let j(k) = -22*g(k) + 4*q(k). Find y such that j(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v - 20. Suppose 4*h - 404 = -v*f, -f = 4*f + 10. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 3*b. Solve -3*l + b*l = -9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from okkkkkkkkkkkkkk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 = -9. Let x = -5 + 2. Let c(a) = 4*a**2 - a + 1. Let k be c(1). Put q, x, k in descending order.\nAnswer: k, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3725*u**2 + 2261*u**2 + 1463*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((2 - 5) + 1). Let g = 13.9 + -14. Which is the nearest to g? (a) 0.3 (b) k (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -12*d + 12*d - 3*s, 0 = -d - 4*s + 9*s + 101 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*z = 1, 0 = 3*j - 4*j + 2*z + 4. Suppose -5*c + 90 = 4*c. Calculate the lowest common multiple of 16 and j\/(-5) - (-164)\/c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00434 rounded to 4 dps?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67605367 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149259, -148918, -148577, -148236?\nAnswer: -147895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 9. Let v be n(11). Suppose -v = h - 1. List the prime factors of 3\/2*(1 - h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2166, 2082, 1994, 1902?\nAnswer: 1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w - 4. Let i be d(0). Let y(q) = q**3 + 21*q**2 + 23*q + 15. Let c(l) = l**3 + 19*l**2 + 21*l + 15. Let k(x) = i*c(x) + 3*y(x). What is k(-12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/11 - ((-30)\/33)\/5. Let x be (-2)\/t*114\/19. Solve -3*b - 2 - 7 = 4*c, -x*b = -5*c + 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 33. Let x(d) = h*d + 1 - 18*d - 25*d. Is x(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.27043, -1\/3, 24, 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (501\/8016)\/(10\/480)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.183118052 rounded to three decimal places?\nAnswer: 21.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 18. Suppose 0 = -2*l + 5*l - 30. Solve m = 2*m + 5*b + v, l = -5*m - 4*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3538\/(-1769)*26\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-72)\/(-6)*(-3)\/(-27)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -316176, -632351, -948526, -1264701?\n\"Answer: -316175*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2 + (-1 - -1). Let k = 873\/2 - 437. Let g(r) = r**3 - 2*r**2 - 10*r + 9. Let n be g(4). Which is the second biggest value? (a) k (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/12, 6, -3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8289.162 nanometers in micrometers?\nAnswer: 8.289162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*2\/(-72)*2. Which is the closest to 0? (a) -2 (b) q (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*y**5 + 143\/3*y + 32*y**3 - 178\/3*y**2 - 14 - 20\/3*y**4.\nAnswer: (y - 14)*(y - 3)*(y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 5. Let m be i(4). Let h = 0.26 - -0.24. What is the second biggest value in h, -4\/3, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6788 is divided by 3321.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35724525 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23330.24 millennia?\nAnswer: 23330240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1747604.06 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -2 (c) -53.07 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65 and -3603.\nAnswer: -234195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - 6192\/(-90)*(1 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4712076*f**3 - 5*f**2 - 3*f - 1736 wrt f?\nAnswer: -28272456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 511463*g - 515506*g + 6 - 4 to q*g + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -89. Let n = -33 + q. Which is smaller: 0.2 or n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 27*c**2 + 45*c + 263. Calculate d(29).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32103 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y + 2*t + 34 = 0, -2*y = -5*t - 40. Suppose 3*j - n = 119, 262 - 199 = j + 3*n. What is the remainder when j is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 66 = 2*x + 103, -x - 86 = 2*t. Let j = -60 - x. What is the highest common divisor of 60 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -23*i**2 - 2*i**2 + 52*i**2 - 28*i**2 + i**3. Let g be 8\/(-6)*3*-1. Suppose -5*p = -2*p - 2*x - 16, -g*x - 16 = 2*p. Give h(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/236 and -25\/8?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - 4*y**4 + y**4)*(0*y + 17*y + 7*y).\nAnswer: -24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*s = -112*s + 70 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11100101100101011 (base 2) to base 12\nAnswer: -58037","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f\/(f*f**(-2\/9)))\/f)*f**7*f)\/(f\/(f\/(f\/(f\/(f\/(f\/(f*f**(1\/6)\/f))*f*f))))*f**(2\/9)))**(-2) assuming f is positive.\nAnswer: f**(-115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*p - 6. Let y(k) = 2*k - 10. Let g be y(p). What is the third derivative of 428 + 3*c**6 - 428 - 16*c**g wrt c?\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.7 or -15?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (56 + -26 + -19 - (-1 + -21 - 0))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4275016.\nAnswer: 2, 113, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560 is divided by 779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 + 72\/(-9 + 7). Let p = f + 91. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1396.51 - -3.\nAnswer: -1393.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 573.8 rounded to 0 dps?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/13708 and -85\/4508.\nAnswer: 671692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -268*p**2 + p - 8. Let f be m(-4). What is f rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 224*k**3 - 2*k**2 + 4*k**2 - 459*k**3 + 1 + 231*k**3 to the form p*k**3 + h*k**2 + u*k + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*9\/96*(-8)\/(-12)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -340*b**2 + 775*b**2 + 872*b**2 to the form j*b + w + q*b**2 and give q.\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 318 = 307. Suppose -3*a = 5 - y. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-72)\/(-90)*126\/216. Let g(c) be the third derivative of -3\/2*c**3 + 0 + 0*c + 0*c**4 - 7*c**2 - m*c**5. What is the derivative of g(h) wrt h?\nAnswer: -56*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*s - 42098 = 35*s - 75*s + 7054 for s.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-116)\/(-40) + -3)\/(6\/(-15)). What is the nearest to 1 in q, -2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20501 - 359271. What is t rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -75\/4. Let i = 393517 + -393517. Factor i - x*n**2 - 1\/4*n.\nAnswer: -n*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2. Let b(y) = -125228*y**2. Give j(b(f)).\nAnswer: 62728207936*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 406013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2678 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 2*l**2 - 9*l**2 + 6*l**2 + 33 - 2*l**2 in the form s + m*l + c*l**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/10)\/(12\/90). Let m = y - -6. Suppose m*n**2 - 2*n - n + n**2 + 2*n**2 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - -9) + 5 + 2 + -4 + 9.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3))\/((-9)\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2 + 2 - 4 - 6 + (4 - 2 - 3)*(0 - 1 - 1))*(18*h**2 + 0*h**2 - 4*h**2) to g*h**2 + k*h + d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -4 (c) -3 (d) 1157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 3*i - 6. Let b be k(-4). Suppose 0 = -2*j - g + 20, j - 3*g - 17 = -0*g. Calculate the greatest common divisor of j and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(72\/14) + (-3909)\/12. What is the third biggest value in 0.3, w, 2\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416788 and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8001.3 and 1.1.\nAnswer: 8002.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -5*x + 4*r + 50, -x + 5*r = -39. Calculate the greatest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*d - 358337 = -470*d + 445*d + 4445*d for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -10*w + 64, 448*w - 2 = 449*w - 2*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*u - 15, -2*x = 3*x - 2*u - 10. Suppose -4*r + 0*r + 60 = x. List the prime factors of (-90)\/(-25) - (-6)\/r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1750 + 865 + 5*w**2 + 2*w**3 - 10*w + 880 - w**4 as a*w**3 + r*w + l + v*w**4 + k*w**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 6.1. Which is the closest to 0? (a) m (b) 8 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 554, 830, 1106, 1382, 1658?\nAnswer: 1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -278b1 (base 13) to base 15.\nAnswer: -16dd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and -1109437?\nAnswer: -1886042.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 213 - 81 = 0. Suppose 5*o = m + 4. What is the remainder when -1 + 0\/(-3) + 28 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 19. Solve 2*p + 3 = x*j - 3, j = 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -55. Let o = m - -40. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*t = 160*t + 198. What is the smallest common multiple of t and ((-105)\/(-7) + 5)*29\/2?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 68*j - 34*j - 4*j**2 + 61 - 34*j + 13. Let u(c) = 2*c. Give z(u(l)).\nAnswer: -16*l**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130020 and 5910.\nAnswer: 130020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**3\/6 + 4*v**2 + 6*v. List the prime factors of l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(171)\/(sqrt(144)*2).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -200*v + 248832*v**2 + 1728*v**3 + 559*v - 359*v + 3*v**4 = 0. What is v?\nAnswer: -288, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/4 or -5?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13092 is divided by 226.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -674, -1350, -2026, -2702, -3378?\n\"Answer: -676*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -114, -137, -186, -273, -410?\n\"Answer: -2*n**3 - n**2 - 6*n - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -20*t**2 - 7*t + 7. Let h(b) = -9*b**2 - 3*b + 2. Let m(a) = -7*h(a) + 3*n(a). Let g(p) = -2*p. Give g(m(i)).\nAnswer: -6*i**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1061 + -1057. Solve 8*o + 12 = 5*o, -4*v - t*o = 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -33, -1\/6, 0, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 26*l**2 + 34*l - 36. Let q be d(27). Suppose q = 10*p - 47. What is the smallest common multiple of p and (-178)\/(-9) - 4\/(-18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z. Let w(p) be the third derivative of 5*p**4\/24 + 22*p**2 - p. What is g(w(l))?\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Suppose -h*j - 5*l + 1 = -6*j, -5*l = 5. Find the common denominator of -61\/6 and (-1491)\/168 - 1*j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.5047553 to 1 decimal place.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 + 6*w. Suppose 32 = -3*x + 23. Suppose -61 = -2*t + 43. Calculate the remainder when t is divided by u(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**2. Let i(a) = -8*a. What is i(l(t))?\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23858730 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 1310542?\nAnswer: -1310535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from pnwn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from {c: 1, f: 2, v: 2, o: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p\/(p*p*p\/((p\/((p*p**(-6))\/p))\/p)))\/p*p**(-3\/8))**24 assuming p is positive.\nAnswer: p**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**3 + w. Let n be (-4)\/(12\/45) - -1. Let t be (-74)\/n + (-2)\/7. Suppose z - t = -4*z. Give l(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 8*z**2 + 2*z - 12. Let s be l(8). Let o be (-3)\/s - 11\/(-4). Determine g so that -2\/11 - 2\/11*g**o - 4\/11*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6298 - 0.8998. What is the closest to -2\/5 in 1, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52452664, -104905328, -157357992, -209810656, -262263320?\nAnswer: -314715984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**7\/280 + g**4\/12 + 2*g**3\/3 + 2. Let o(u) be the third derivative of z(u). List the prime factors of o(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161 - 147. Suppose 0 = 2*z - 3*z - 46. Let j be z\/(-6) - (-10)\/(-15). Calculate the highest common divisor of o and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 620877.\nAnswer: 1\/620877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 + 13*k**2 + 6968*k + 1339*k.\nAnswer: 2*k**2 + 8307*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/(-7 - 351\/(-45))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20108 or 20233?\nAnswer: 20233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1001110101011?\nAnswer: -1001110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10243.4 - -10243. What is the second smallest value in 31, 2\/15, w, 0.1, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1834, 3577, 5318, 7057, 8794?\n\"Answer: -j**2 + 1746*j + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8853185 rounded to the nearest one hundred thousand?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.1991 - -0.3.\nAnswer: 6.4991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 0) + 0 + 17. What is the greatest common divisor of 304 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110330008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2\/7)*474\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.255707 years?\nAnswer: 0.04255707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38131 is divided by 125.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 1, w: 6, v: 2, h: 3, x: 4}. What is prob of picking 2 v?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.5 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 21 = 2*d, 12 = d - 0*q - q. Calculate the remainder when d is divided by (6\/4)\/((-27)\/(-144)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(15)\/sqrt(27)))\/((sqrt(96)\/sqrt(4)*3)\/((sqrt(72) + sqrt(72) + (sqrt(72) - -1*sqrt(72)) + sqrt(72) - sqrt(72))\/sqrt(9))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Suppose -2*g - 5*t = -6, g + 29 = 2*g - b*t. Solve -5*p + 8 = -2*q, -2*p - 3 = 4*q + g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -65. Suppose 3*d = -3*h + k + 10, 5*h = 5*d - 90. Suppose -d - 78 = -z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20538, -20526, -20514, -20508, -20514, -20538, -20586, -20664?\n\"Answer: -r**3 + 6*r**2 + r - 20544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 476*f**5\/5 - 42*f**2 + 1403. What is the second derivative of n(b) wrt b?\nAnswer: 5712*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-340)\/(-14))\/(23\/161)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 2 = -y, -2*c - 2 = -4*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 2946234?\nAnswer: 32408574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (1 - -2) + 33 + -14 + -16?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41 + -61533\nAnswer: -61574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 16*x - 16. Suppose -d - d + 8 = 0, -5*g = 2*d - 113. What is the remainder when f(-11) is divided by 0 + -2 + g - -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -190 and -263405983.\nAnswer: -263406173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*u + 19*u - 773. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8846953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -717406*a**2 - 137415 wrt a.\nAnswer: -1434812*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51239071 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 294*m - 1 + 14 as n*m + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 3*d - s = 16359998, 3*s = -2*d - 8179994. Round d to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24162322 is divided by 13713.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3\/4 (b) -79\/6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -a - 469, -6*a + a = 5*w - 755. Suppose -4*x + 2*i - 43 = -163, 5*x - 5*i - w = 0. Let t = 33 - 23. What is the remainder when x is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 5*o - 1. Let f be n(4). Let s be 78*(-3 - (-20)\/12). Let c be s\/(-10) - 6\/(-10). What is the greatest common factor of f and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 427 (base 8) to base 14\nAnswer: 15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 265 + -4565. Round s to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -27*r + 491. What is f(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 38*b**2 - 146*b - 3003. What are the prime factors of c(-20)?\nAnswer: 3, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -13. Let b = 2 - n. Which is bigger: -15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 104 = 4*w, 2*w = -3*d + 209 - 53. Calculate the remainder when d is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 26811 in increasing order.\nAnswer: -3, 2, 26811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - -32) + (-198 - -167).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-10) + 11)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2 - 2498507*a*f**2 - 83979838*f**2 wrt a.\nAnswer: -4*a - 2498507*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 453133 or 453139?\nAnswer: 453133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-10)*8\/5. Put q, -2\/21, 0 in descending order.\nAnswer: 0, -2\/21, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*m + 64*m + 689000. List the prime factors of m.\nAnswer: 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.211*-25.\nAnswer: -105.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238579 and 13079.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2143600471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15655 + -15649. Solve b*y - 100 = 31*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155 + -154.93. Let x = -2 + 1.94. Let t = -0.06 - x. Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28812*k**3 + 55649*k**3 + 33981*k**3.\nAnswer: 60818*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3))**6\/((l\/(l\/l**(-2\/3)*l*l))\/l**0))\/(l\/(l**10\/l*l)*l*l\/l**(-5\/2))**(-12\/13) assuming l is positive.\nAnswer: l**(-136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-139424)\/(-6) + 388\/582?\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2283*p**2 + 3 - 8 + 8 + 4.\nAnswer: -2283*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -65. Suppose -5*u - b = -312. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 1, c: 1}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*y**3 + 15*y**2 - 23*y - 16 wrt y?\nAnswer: 144*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -18 + 16. Suppose 0 = -l - 4*q + 8, -g*q + 1 = -3*l - 3. Let k = 33 + -32. Which is the nearest to -0.1? (a) k (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -516156*f**3 - 16505936*f**2 wrt f.\nAnswer: -3096936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 14*z**3 - 63*z**2 + 157*z + 87. Let n(p) = 5*p**3 - 21*p**2 + 52*p + 29. Let d(x) = 6*j(x) - 17*n(x). Is d(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.9506 or -3\/8?\nAnswer: -3.9506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 0.475711.\nAnswer: -0.02378555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 7 - (2 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -23\/24, -0.21, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:49 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-16)*((-15)\/(-10)*(-512)\/(-144))\/(-78).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34*(-1 + (44\/8 - 4)). Let l(g) = -4*g**3 + 0*g**3 - 4*g - 2*g - 2*g - b. Let p(z) = z**3 + 2*z + 4. Give 2*l(w) + 9*p(w).\nAnswer: w**3 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 72 = 2*c - 100, 3*p + 12 = 0. Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 332279 and 117531.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -188*s + 15. Let m(g) = 187*g - 16. Let w(r) = -3*m(r) - 2*v(r). What are the prime factors of w(-1)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/19 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2))**(-8\/9))**(-9))**(-35) assuming w is positive.\nAnswer: w**560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 546*g - 549*g + 3933. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -407*b**2 - 143*b - 143. Let v(s) = 17*s**2 + 6*s + 6. Calculate -6*l(i) - 143*v(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-42)\/(-28))\/(19\/(-8) - -2). What is the smallest value in 3, k, -41, 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -47*y**2. Let p(o) = -11744313*o**2. What is p(s(n))?\nAnswer: -25943187417*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-21))\/(6\/(-126)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 7. Let n be u(4). Let i = -7 + 11. Let b(j) = -5 + 5 + i*j. Let v(r) = -7*r. Determine n*v(s) + 5*b(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 3*l - 0*l - 29, -4*l + 16 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/20 - ((-49)\/2 - 2)) + 7\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173 smaller than 1128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6028*u**2 - 2*u + 1. Let m be h(-2). Suppose 0*b + 2*f + 6031 = b, 4*b - m = f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -1011030222323?\nAnswer: 1011030222311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 + 1495630*d - 559227274225 = 0. What is d?\nAnswer: 747815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(3\/4)\/m)*m)\/(m*m*m*m**7\/m))\/((m**(7\/4)*m)\/(m*(m\/m**(2\/19))\/m)) assuming m is positive.\nAnswer: m**(-327\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205 - 210. Let t be (1\/n)\/(3038\/35). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-3\/7)*q))\/q)**(2\/27) assuming q is positive.\nAnswer: q**(-8\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2506 take away -9.76?\nAnswer: -2496.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35f + a91?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/12*6\/(-2). Let c = f + 11. Let l(o) = -o + 5. Is 5 a factor of l(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108898 divided by -228?\nAnswer: -54449\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*b - 0*b - 19 + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 <= 41742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -362154\/121, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1144134111 (base 5) to base 13.\nAnswer: -745001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.119*12.\nAnswer: 49.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -161*t**2 - 26. Let f(y) = 20*y**2. Give s(f(l)).\nAnswer: -64400*l**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38958 + 5.\nAnswer: -38953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*w - 101*w + 15, 4*l + 4*w + 6 - 68 = -l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 2, -9, 3.\nAnswer: -21, -9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4606 - 639. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1499 - 1393 = 4*q, 2*v = -2*q + 1430. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 17*o**2 + 4*o + 29. Calculate q(-10).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373600435 to the power of 1\/3, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 7:34 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010100 - 100100?\nAnswer: 10011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35774*g**2 - 114*g + 3606504 wrt g.\nAnswer: -71548*g - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9244 = -2*x - 2244. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Suppose v*r + 4*x = -3, 4*r + 1 = x - 3. Let a = 7 + r. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7201?\nAnswer: 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2*x**2 - 5)*(-3*x - 4*x + 0*x) + x - 9*x**3 - 2*x - 9*x**3 in the form w*x**3 + t + d*x**2 + l*x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 8*j**2 - 4 + 0 + 0.\nAnswer: 8*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 6413?\nAnswer: 6415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 5*v + 5. Let c be u(5). What is the nearest to c in 0.4, 0.3, 2\/15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n + 19 = -33*n + 4*y, 25 = 3*n - y. What is the highest common factor of 7168 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (240\/280)\/(12\/56). What is the third biggest value in -1\/9, -1\/14, q, 2\/5?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9064*o - 3231. What are the prime factors of y(4)?\nAnswer: 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 0 + 1 = -l, -4*m - 2*l - 6 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512342 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:46 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(2\/11)*j)*j*j**(-11) assuming j is positive.\nAnswer: j**(-112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2\/19, 5, 369.5 in decreasing order.\nAnswer: 369.5, 5, -2\/19, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24047757 is divided by 125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -2, -172, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 19*p**7\/420 + 5*p**4\/2 + 10*p**3\/3 + 112. Let u(h) be the third derivative of t(h). Differentiate u(r) wrt r.\nAnswer: 114*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 25 - 16) + 17?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*d = -18, 96 - 42 = 3*s + d. What is the remainder when 9\/((-81)\/12)*-36 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87.0027387 - -96.40273. Let m = 114 + -123.4. Let a = c + m. What is a rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 403 + -342. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 67023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3 - 63*z**2 - 651*z - 1305 = 0 for z.\nAnswer: -5, -3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/4 + 341*g\/2 - 3435\/4 = 0.\nAnswer: -687, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -79, -81, -101, -145, -219?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*q**3 - 48*q**3 + 20*q**3.\nAnswer: -71*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44600406 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((42862 + -5)*-9*9\/(-81))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 4*h - 81 = 6*a, 3*a + h - 35 = 0. Suppose 0 = 4*q + a + 59. Let f be ((-6)\/8)\/((-27)\/q). What is the second smallest value in f, -2\/7, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfhh when four letters picked without replacement from hfhhhhhhhhfffhhhhf.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 + 7*a + 2. Let n be o(-6). Let c(l) = -3*l**3 - 4*l**2 - 8*l - 10. Let z be c(-2). Calculate the greatest common factor of z and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2992696 by -8.\nAnswer: 374087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/16571?\nAnswer: -8\/16571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1110*m + 123. Let v(i) = 556*i - 74. Let c(q) = -3*p(q) - 5*v(q). Let d(a) = 8*a. Give c(d(h)).\nAnswer: 4400*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708342633 to the power of 1\/2, to the nearest integer?\nAnswer: 52042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 0, -2*j = 2*v + 14 + 44. Let i be 8\/v + 14\/(-3). Is -3 + (-315)\/(-5) + i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**3 + 3*h**2 - h + 7. Let i be o(-6). Let p = i + -1125. Is 7 a factor of p\/18 - 4\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)\/((-4)\/(-80)). Suppose -3*p + 65 = t. Let r = p - -76. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39388317 and 1307496?\nAnswer: 315106536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/98 and -83\/210.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 81*d - 10890. Determine p(127).\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 - -1?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*q - 20*q + 744418. Is q 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 {b: 3, l: 1}. What is prob of picking 3 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 3, 0, 492 in decreasing order.\nAnswer: 492, 3, 0, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03022391 rounded to 4 decimal places?\nAnswer: 0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -610\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/(4\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -25*u + 431. Calculate k(15).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38935215 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166812 = 2*g + 24*i - 26*i, -g + 83415 = 2*i. What is the ten thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 16*n - 272. Let r = -131 + n. Let y = 53 + r. Let j(m) = m + 6. Give j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:56 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 8 + (-3)\/1. Let c(k) = k**2 - 5*k - 11. Let g be c(8). Let z = g - v. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -22. Solve -b*z = 4 + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 115 = -2*q, -7*q - 31*h - 304 - 1433 = -2*q - 446 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:50 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-3)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20712 = -19*g - 1484. Calculate the highest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = g, -4*x + g - 55 = 29. Let f be (-15)\/x + 1\/(-2). What is the closest to -1 in -3\/4, f, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*((-3*sqrt(68)\/sqrt(4))**2 - (sqrt(17) + sqrt(17) + (sqrt(68)\/sqrt(4))**2 + -4)) + (sqrt(51)\/sqrt(3)*-3 + -2)*4.\nAnswer: -432 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1)\/2*(1 + -3). Let p(g) = -7*g**2 - 3*g**2 + 20*g**2 - 6*g**m. Let v(c) = 1 - 1 - c. Give v(p(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 840617257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79222 and 5746.\nAnswer: 17508062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3411048 (base 10) in base 6?\nAnswer: 201035520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -7 - (1 + -1 - 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkvhkkkhhkvvhhhvh. What is prob of picking 1 k and 1 h?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbsbiisb. Give prob of picking 1 i and 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 - 6*g - 1. Let q(p) = -3*p**2 + 6*p + 1. Let m(i) = -4*n(i) - 5*q(i). List the prime factors of m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 - 2*q**3 - 18*q**4 - 3 + 2*q**2 + 16*q**4 as o*q**2 + t + u*q**4 + k*q + h*q**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/120 + i**5\/15 - 24*i**2. Find the third derivative of g(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (2 + -1*sqrt(7))**2.\nAnswer: -4*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*o - 265, -151 - 8 = -3*c + 4*o. Let x = -43 + c. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*f**2 + f**3 + 8*f - 31*f**2 + 37*f + 61*f + 7 in the form i*f + q + d*f**3 + l*f**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133360*f - 53086*f - 84169*f - 23222*f.\nAnswer: -293837*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Suppose -5*i + 0*p - 3*p = -10, 4*i - 21 = -5*p. Let n be i*(-4)\/(-4)*-1. Are u and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**3 + 4*j**2 - 13*j - 14. Let x(t) = -41*t**3 - 23*t**2 + 76*t + 82. What is -35*s(p) - 6*x(p)?\nAnswer: p**3 - 2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 205757 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = 5*p, -13 = -3*m + 8*m - 2*p. Let k = m + -2. Let f be (-294)\/(-30) - 1\/k. Sort f, 1, 5 in increasing order.\nAnswer: 1, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.345848 and 242.16793?\nAnswer: 248.513778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 118, 115, 104, 79, 34, -37?\n\"Answer: -v**3 + 2*v**2 - 2*v + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3301617511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**3 + 3636*b**2 + 39512*b = 0.\nAnswer: -898, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 4. Let l be o(-6). List the prime factors of (-1 - l)*(6 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60414 + -3?\nAnswer: -60420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 426957045?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-4)*z*z**(-1\/3)*(z**0)**(-11\/2)*(z\/z**10*z**(-5))**(2\/11) assuming z is positive.\nAnswer: z**(-161\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -6. Let m = 8 + s. Sort -3, m, -4.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5553852 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10*d = -5. Let g be (4\/(-5))\/(d\/20). Suppose 5*z - 3*z - g = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 + (-48)\/(-9). Suppose 0 = d + 5*m - 14 + 3, -w*d = 4*m + 8. Is -1*(-263 + 0\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 2436.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -221.3?\nAnswer: -110.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -36*s + 270. Let a be f(8). Let y = 9 + 11. Let w = y + a. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -0.0350354?\nAnswer: -0.0350354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**6\/9 + 32*f**5\/15 + 14*f**4\/3 + 2610. Factor o(a).\nAnswer: 2*a**3*(a + 2)*(a + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 117312629 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - -30 - 56 - (-1 + 17)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 14 = -3*m + 2*h, 5*m + 3*h = 0. Let u = 1 - -11. Suppose -s = 5*f - u, 3*s + m*f - 2*f - 8 = 0. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 849*g**2*i**4 - 5*g**2*i**2 + 2*g**2 - 12*g*i**2 wrt i?\nAnswer: 20376*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5632708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -1 - 2417\/(-7) - (-62)\/(-217)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - z - 1. Let r be a(0). Let x(g) = 5*g**2 - g - 1. Let v be x(r). Solve -3*j + 10 = 2*j - 2*o, o = v*j - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 2*h + 57, -618467*h + 141 = -618472*h + 7*z for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*(-12)\/48 + 32. Solve -56 - 94 = z*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142 and 7?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -858 divided by -286\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3062*o**3 + 1952*o**3 - 15085*o**3)*(o - 2*o + 2*o) in the form g*o**4 + z*o**2 + m + p*o + s*o**3 and give g.\nAnswer: -16195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -3*b - 2. Let g(r) = 18*r + 23*r - 54*r + 12*r. Calculate -2*g(a) - o(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-73 + 10 - 10) - -8 - -3.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 52577, 52378, 52077, 51698, 51265, 50802?\n\"Answer: 4*p**3 - 75*p**2 - 2*p + 52650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 18 - (-1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*c + 15 - 52, 4*c - 40 = 2*g. Suppose 0 = c*q + 104 - 167. Solve -2*r = -4*r - 3*m - q, -2*m - 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -25*p**2 - 21*p - 10. Let f(r) = 5*r**2 + 4*r + 2. Give 11*f(s) + 2*x(s).\nAnswer: 5*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237455 = 4462*p - 4457*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -20. Let g = 11 - m. Suppose -4*c = -2*c. Solve c = -g*l - l - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 192 = -x, 0 = 4*l - 44*x + 45*x + 762. Let h = -189 - l. Is h != -4\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7110266 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, -6\/11, 3, -1\/5, -12173 in ascending order.\nAnswer: -12173, -6\/11, -4\/13, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/5 + (4 - 2). Suppose 540 = 4*z - q + 6*q, -675 = -5*z - q. Let b be (-1 - (-141)\/z)\/(5\/25). Sort b, k, -0.01 in descending order.\nAnswer: k, b, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - -5.04. Which is the smallest value? (a) 42 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -3*q + 5*a - 15, 32*q = 60*q - 33*q - a + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (12 + (-35 - -19) + -4).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7463.587 litres?\nAnswer: 7463587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 316\/1685 or -1?\nAnswer: 316\/1685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4502 + 4525. What is the greatest common divisor of 1679 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**8\/336 + 107*m**7\/210 - 227*m**4\/12 + 330*m**2. What is the second derivative of j(a) wrt a?\nAnswer: 20*a**3 + 1284*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16091404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -31. Which is the biggest value? (a) -3 (b) v (c) -2 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2088 - 1692*f + 3376*f - 1685*f + (-2 + 0 + 0)*(-2*f - f + 0*f) + f - 1 + 1 to the form b + j*f and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 2. Let r be m(2). Suppose 8*i = 3*i - r. What are the prime factors of 217\/(-14)*4\/i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21471 is divided by 692.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**3 - 3*c**2 - 5*c - 6. Let p(n) = -5*n**3 + 2*n**2 + 5*n + 5. Let i(y) = 4*f(y) + 5*p(y). List the prime factors of i(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*o - 85*o - 96 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 19. Let q be o(-15). Let k be (6 - 3)*12\/45. Which is the second biggest value? (a) q (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656226102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*k + 58*k + 14 = -2*m, 0 = 2*m - 4*k - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 14) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 792956 + -11.854628\nAnswer: 792944.145372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3769664543 to the nearest integer?\nAnswer: 61398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*a + 10, -18*d - 14 = -4*a - 15*d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 10*l**2 + 9*l + 2. Let t be i(9). Let b(j) = 2*j**2 - 3*j + 3. Determine b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 5 - 24\/(-84)*-28. Let f be (-4 - h)\/((76\/(-352))\/19). Calculate the greatest common factor of 77 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.1154ng in grams?\nAnswer: 0.0000000671154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36300\/1694 - ((-3 - -8)\/20 - 99\/(-84))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/23, -11, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2941*n - 15569. Calculate the remainder when s(-6) is divided by 261.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, -0.13 in ascending order.\nAnswer: -4, -0.2, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2492 or 1?\nAnswer: -1\/2492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -854009327\/229110 - 389\/15274. Let v = 3731 + w. What is the common denominator of 28\/15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 11. Let o = 10 - h. Solve 3*j - 6 = o*d, 2*j = 3*d - 3*j + 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.1. Let f = -33.5 - -34. Sort -0.4, u, f.\nAnswer: -0.4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - y - 262 = 0, 0 = 4*g + 2*y + 3*y - 381. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 533760*r**3 - 17085440*r**2.\nAnswer: 5*r**2*(r - 32)*(r + 106784)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 134. Suppose 0 = 5*a - 45 - 15. Calculate the highest common factor of a and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21 - 2\/1 - -2. Suppose 2*b - 10 = -b + 4*i, 0 = 4*i - 8. Let w be (2 - 20\/b)*-3. Solve 9 - o = w*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 1755*i**4 + 1715*i**2 - 1274. What is the second derivative of z(l) wrt l?\nAnswer: 42120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 73 = 597. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -5\/2*i**4 - 5*i + 0*i**3 - 1\/720*i**6 + 0*i**2 + 0 - 1\/120*i**5. Let f(m) be the third derivative of o(m). Determine f(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 3836055.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-9)\/(-3))\/(-1). Let r(n) = n. Let s(p) = 28*p + 3. Let m(b) = k*s(b) + 2*r(b). What is the tens digit of m(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13785*f - 78 = 6*d + 13787*f, -88 - 84 = -2*d + 3*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*r - 29*r**3 - 279*r.\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3 - 10*q)*(18*q - 20 + 2*q**2 + 20) + 0*q + 0*q - 2*q**3.\nAnswer: -22*q**3 - 182*q**2 - 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1, -4, 4 in descending order.\nAnswer: 4, 1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129.804 + -1.396. Let d = 131 + t. Let v = 0.1 + 0.1. Which is the closest to 2? (a) d (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 743*n**3 - 16075 + 16075 - n**2 + n + n**2.\nAnswer: 743*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2.2, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 + 14*f**2 + 63*f - 14. Determine x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**2 - 324541*x + 372526 with respect to x.\nAnswer: -2*x - 324541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.52 (b) 102 (c) -2 (d) 5 (e) -0.022\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1382908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -496*k**3 - 7*k**4 + 2 - 5*k + 498*k**3 + 4*k**2 - 6*k**2 + 4*k as v*k**4 + b + q*k**3 + y*k**2 + w*k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -459 (b) -4 (c) 198 (d) 1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-14))\/(6\/(-21)*-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*q*t**3 - q*t + 1604*q - 317*t**3 - t**2 wrt t.\nAnswer: 60*q - 1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 13*o - 216 = 0. Let s = o + -407. Let m = s - -550. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - ((-35)\/(-12) + -4). Let w = -185\/84 - j. Which is the second biggest value? (a) -0.4 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/11 + (2959\/121 - 25) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3931, -16360, -37043, -65980, -103171, -148616, -202315?\n\"Answer: -4127*x**2 - 48*x + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43392 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(832))**2 - -1*(-3 + sqrt(13)))*-5.\nAnswer: -37425 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, -2, 495, 0, 307 in ascending order.\nAnswer: -5, -2, 0, 12, 307, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.00047, -1\/5, -0.3.\nAnswer: -0.3, -1\/5, 0.00047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}