diff --git "a/data/dm_maths/full_data_1/1124_11255.jsonl" "b/data/dm_maths/full_data_1/1124_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1124_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the next term in 72, 158, 246, 318, 356?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 199420 and 38350.\nAnswer: 997100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24065537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1983 divided by -2\nAnswer: -1983\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - -1.94. Let n = 4 + -7. Let p be (-2)\/(-21)*n\/(-1). What is the nearest to -0.1 in -1, v, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**3 + 14240867*t**2 + 350258522 wrt t?\nAnswer: -3*t**2 + 28481734*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17041045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16)*(-5)\/10*12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**8\/2352 + c**7\/294 + c**6\/840 - 17*c**5\/420 - 11*c**4\/84 - 4*c**3\/21 + 618*c**2. Let h(x) = 0. What is x?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -4*c. Let u(x) be the first derivative of -2*x**2 + 0*x**4 + 0*x**5 + 0*x + 0*x**3 + 1\/6*x**6 - c. Find the second derivative of u(t) wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178455.9 litres in millilitres?\nAnswer: 178455900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-x + 0*x + 3*x + (7*x + 35*x - 4*x)*(0 - 3 + 2))*(0 + 0 + x) - 65 + 65 - 27*x**2 as j + r*x**2 + b*x and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + -3. Let t = 80 + b. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-63))\/(27\/(189\/22)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 3*m**2 + 3*m + 1. Suppose -q + 3*h - 27 = 149, -2*q - 356 = -4*h. Let z be (2\/7*-3)\/(q\/637). What is p(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 361 - (4 + -4 + 8). Let c = l - 347. Solve -34 = -2*u + 4*i - c, 5*u = -4*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186, 189, 192, 195, 198, 201?\n\"Answer: 3*f + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 10:30 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-2 + 1) - 1. Let t be 730\/156 + 3 + f. Let x = t + -35\/6. Which is the third biggest value? (a) x (b) 0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -4*b**5\/5 - 179*b**3\/3 + 14*b**2 - 6*b - 4085. What is the second derivative of c(j) wrt j?\nAnswer: -48*j**2 - 358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -60196123*m**2. Let z(k) = k. Calculate z(u(l)).\nAnswer: -60196123*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 1670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**2 + 3396*j - 3343*j - 6 - 6*j**2)*(0*j**2 + 0*j**2 + 2*j**2) as r + y*j**4 + c*j**2 + z*j + a*j**3 and give a.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -14, 4 in ascending order.\nAnswer: -14, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19516*q - 6174*q + 3111*q - 19807*q - 13138*q.\nAnswer: -55524*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34489111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 385222*u**4 - 514*u**2 - 511 wrt u.\nAnswer: 9245328*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47871335 divided by -5?\nAnswer: -9574267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022062 weeks in nanoseconds?\nAnswer: 13343097600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 183 = -k. Suppose 3*s - 3*j - 873 = 0, k = -3*s - 3*j + 1010. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99)\/(sqrt(45)\/((sqrt(5) - sqrt(10)\/sqrt(2)) + sqrt(5))) + 5 - (1 + (0 + sqrt(1100) - -3*sqrt(176)))))**2.\nAnswer: -1512*sqrt(11) + 43803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -0.05, -0.1 in descending order.\nAnswer: 4, -0.05, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -639, -635, -621, -591, -539, -459, -345?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - 408*m**2 + 2765*m - 44. Determine i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-11) + 35192\/44. Suppose 0*u - n = 4*u. Let z be 0 + (34\/u - 1\/(-4)). Is -1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xol when three letters picked without replacement from llglggxgolgppo?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*i - 63*i + 32*i - 167)*(-1 - 2 + 1).\nAnswer: -2*i + 334","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 912 - 912 + 2745 + 3*w - 910.\nAnswer: 5*w + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1707 + 1706.9. Which is the closest to -4? (a) t (b) -2\/17 (c) -0.2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 19)*(-12)\/(-10). Let j = k - -46. Suppose -6 = 4*r - j. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 2 = -132 - 61 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 208200?\nAnswer: 208200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2195149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 2\/29, 2094, -1\/7?\nAnswer: 2094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 8 = -5*m + 5*w, 0 = 3*m + w + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b + 2*b + 0*b + 3*b + 3. What is the tens digit of q(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -818 - -1385. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (676 + -30)\/(-19) + 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u - 4*h - 8, -2*h - 4 = 0. Which is the nearest to u? (a) -1 (b) 0.1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -5, -53, 0.5?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3092040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 + h - 1. Suppose 229*j - 255*j - 26 = 0. Let v(o) = 4*o**3 + 6*o**2 + 13*o - 6. Calculate j*v(n) + 6*f(n).\nAnswer: 2*n**3 - 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -279*q**2. Let p(c) = -11*c**2. Give g(p(h)).\nAnswer: -33759*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -64, -97, -132, -169, -208, -249?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 432\/20 - (-2)\/5. Suppose f - y - 46 = 0, -4*f - 2*y + 45 + 127 = 0. Calculate the highest common factor of f and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*176\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.1 in -4, -2\/3, -3, -1, -2\/9615?\nAnswer: -2\/9615","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473*p - 228*p - 220*p = 1794875. List the prime factors of p.\nAnswer: 5, 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47\/2 in -2\/5, -3, 6160\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) -2 (b) -3 (c) 211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 1. Let i(r) = r + 1. Suppose -3*j - 9 = -o, -16 = 3*j - 4. Let f = o - -2. Let g(z) = f*y(z) - 2*i(z). What is g(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2\/3. Let m = -20 + 16. Let f be -3 + (m - -6) + 2. Is f smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*g - 2, 87 = 2*g + 5*x + 61 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*f + 3075 = 0, -5*u + 16*f + 5080 = 12*f. Calculate the highest common factor of u and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032747 < 4130989\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/35)*x**(-14)*(x**(-4\/7)\/x)**(-5) assuming x is positive.\nAnswer: x**(-216\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 468 (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 18249003?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let o(p) be the third derivative of -541*p**5\/12 - 59*p**2 - 25*p. Calculate a(o(l)).\nAnswer: 5410*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6 + g**2 - 3*g - 2*g**2 - 7*g. Let p be f(-9). Solve p*h - 13 = -2*v, 2*h + 0*v - 2 = 2*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.3621 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 974899 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 3.05. Let n = -14 - -10. Let h = -0.011 - -0.411. What is the second smallest value in h, n, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 i when three letters picked without replacement from {i: 1, q: 1, d: 1, l: 1, z: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4 - 6. Let b be ((-8)\/n)\/((-8)\/(-60)). Find the third derivative of -2*i**b + i**2 - 4*i**6 + i**2 + 3*i**6 wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 611 + -606. Sort f, 3\/5, -0.4, 0.03 in descending order.\nAnswer: f, 3\/5, 0.03, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*q - 30*q + 56*q = -1968 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14700 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlqlycqxqxdy. What is prob of sequence cdxl?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1356, -4501, -9424, -16125, -24604, -34861?\nAnswer: -46896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) + sqrt(12)\/sqrt(3)) + -3 - (sqrt(45) + (sqrt(3645)*2 - sqrt(3645))).\nAnswer: -59*sqrt(5)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*f = 20, -4*g + 2*f + 0 + 8 = 0. Suppose g = m - 2*l - 110, l - 383 = -5*m + 156. Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.055, 5, 0, 3, -1\/3, 2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 7 = -2*v, -5*g = -v - 19. Solve 2*l + 2 = 4*b, g*b + 0*l - 20 = -4*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 614*g + 305 + 19957 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/9 (b) -2.5 (c) -162 (d) -5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*z + 12 = 10360 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492 is divided by 746.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 8:42 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 309, 240, 173, 108, 45, -16, -75?\n\"Answer: t**2 - 72*t + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 124*a**2 + a. Let v be 2\/6 - (-2)\/3. Let o be t(v). Suppose -m + o = 4*m. What is the greatest common factor of m and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -20. Suppose -4*t - 5*r + 10 = 0, -4*r = q + 6. Suppose -t - 3 = 8*c. Which is smaller: 3\/34 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -50.7, 177, -0.01, 4?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-3))\/(80\/72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in -4, 5, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c + 4*c - 4*i + 4, 3*i = 4*c + 25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.358213 - -0.02116499?\nAnswer: -0.33704801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 314, 317, 320, 323, 326?\n\"Answer: 3*x + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1240, 5, 1\/10 in descending order.\nAnswer: 5, 1\/10, -1240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x + x)*(-2 - 2 + 1) + x + 2*x - x - 90*x - 84*x + 173*x - 8.\nAnswer: 4*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 62, 87, 114, 143, 174, 207?\n\"Answer: c**2 + 20*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 839767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(55) + (2*sqrt(55) - sqrt(55) - sqrt(55)))\/sqrt(11) - sqrt(20)*4))**2 - -2*(0 + (sqrt(720)*2 - sqrt(720) - sqrt(720)))**2.\nAnswer: 28*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*f**6*t**3 - 4*f**2 - 12*f*t**3 wrt f.\nAnswer: 4320*f**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 7. Let h(g) = 1. Let p(x) = c(x) + 4*h(x). Let v(s) = s**2 + 8*s + 11. Let t be v(-6). Let j(r) = -1. Determine t*j(i) + p(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 1\/9 (b) 1 (c) 393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2940056771 is divided by 1769.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(931) - (sqrt(931) + -2*sqrt(931) + sqrt(931)))**2*2*-5 + -3 + sqrt(931) + 0 + -5).\nAnswer: -27954 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220022 + -222?\nAnswer: -221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + 44. Let h = m - 91.0000098. What is h rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*d**3 + 4 - d**3 + 4*d - d**3 - d**3 + (-d**2 - d**2 + 8*d**2)*(-3 + d + 3).\nAnswer: d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.209 and 2966785597?\nAnswer: 2966785597.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 12. Suppose 3*y + 0*y + 5*q - 4 = 0, -q = 3*y - k. What is the units digit of -2 + 0 + 39 + y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**2 + t - 6. Let w(n) = -31*n**2 + 4*n - 31. Let p(f) = 11*j(f) - 2*w(f). Let m be p(1). What is the nearest to 1 in -1, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 4) + -2 + -1. Let f = -4904\/3 - -1613. Find the common denominator of 9\/b*212\/18 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -30. Calculate the remainder when 30 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 6:07 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 4*j - 33 + 3 + 15 + 8*j - 3*j.\nAnswer: 9*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - -5.04. Let n = 3 - s. Which is smaller: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25*6\/30)\/(2 + (-114)\/60)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-4830)*-23*(5*(-3)\/3)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k + 4*k - 2*k)*(k**2 - 4*k**2 + k**2)*(-62 + 14*k + 62).\nAnswer: -308*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30 - (-58)\/435\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -434, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062642 rounded to 3 dps?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -7. Let d be 32\/24 + (-55)\/3*-5. Let z = -743\/8 + d. Is z bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b = q + 38*b + 14, -35 = q - 9*b for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -327.26.\nAnswer: 4254.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25708268?\nAnswer: 2, 29, 221623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - sqrt(15))*4)\/sqrt(3).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 299, 601, 903, 1205, 1507, 1809?\n\"Answer: 302*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 10. Let p(l) be the second derivative of -l**3\/6 - 9*l**2 - 14*l - 9. Let f(n) = 3*p(n) + 5*y(n). What is f(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09 and 129119143327?\nAnswer: 129119143326.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 10:55 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0028 and -0.36.\nAnswer: -0.001008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = 2*o - 0, 4*k = -3*o - 3. Let u be k\/2*310\/15. Suppose -u*d = -27*d - 144. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -17*c**2. Let o(v) = 7*v**2 - 3*v + 3. Let k(b) = 2*b**2 - b + 1. Let u(m) = 6*k(m) - 2*o(m). Determine u(i(q)).\nAnswer: -578*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 991901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**2 + 4 - 1\/2*l**4 + 1\/5*l**5 - 1\/3*l**3 + 0*l. Factor r(h).\nAnswer: h*(h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4206 - 29. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 - -0.3. Let q = 4.1 + x. What is the third biggest value in -0.2, 2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/5)\/(1\/10). Let l be (-1 - b - 4) + 2. Let i be (-2 - -9405) + (-3)\/l. Round i to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 15*w - 19*w + 2*o, w - 4*o - 38 = 0. Let m(z) be the first derivative of -43*z + 36 + 0*z**3 + 0*z**w - 23\/2*z**4. Differentiate m(d) wrt d.\nAnswer: -138*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71190408*a**2 - 66101415*a?\nAnswer: 142380816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -22*y + 1. Let v(k) = -89*k + 5. Give -18*d(x) + 4*v(x).\nAnswer: 40*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2313335 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5\/9 + 6*d**4 - 104*d**3\/3 + 256*d**2\/9 = 0.\nAnswer: -32, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 44 - 60. Let h = 319 - 4784\/15. Which is the biggest value? (a) 1 (b) h (c) -0.4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 29. What is the highest common divisor of 30 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 2993562.\nAnswer: 2993561.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -504705.1 to the nearest one hundred.\nAnswer: -504700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 3*y + 2. Suppose 448 = f + 6*f. Let o = 68 - f. Suppose 22 = 3*p - 2*p + 5*c, 20 = o*c. Give b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*x - 44 - 324, 724 = 4*x + 5*j. Let s = -184 + x. Sort -5, -0.2, 2\/3, s in descending order.\nAnswer: s, 2\/3, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 3*t + t + 6*t to the form g*t + w and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 279753 or 11469864\/41?\nAnswer: 279753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v. Let i(d) = -56*d**3 - 2*d**2 + d + 2. Let z be i(-1). Let s(a) = -55 - 3*a**2 + z. What is s(j(h))?\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*z + 44, v + 4 - 25 = -4*z. Let n = v - 8. Find the third derivative of -3*b**2 + 0*b**5 + 2*b**6 - 2*b**5 + 2*b**n wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*4.51\nAnswer: -22.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/269, 3, 0.2, 0 in descending order.\nAnswer: 3, 0.2, 2\/269, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjsjgjsgjsgjjgggg. What is prob of sequence ss?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2361\/5 - 473. Is w less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140090.7 times 0.3\nAnswer: 42027.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2 - 2219*y - 13804016 = 0. What is y?\nAnswer: -2768, 4987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(0 + sqrt(325)) - -5*1*sqrt(325)) + (sqrt(325) - -4*(0 + sqrt(325)) - sqrt(325)) + 5)**2 + 1.\nAnswer: 550*sqrt(13) + 39351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 6 = 3*u, -3*v + 5681 - 5682 = -5*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61202 - 6611?\nAnswer: -70013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10632.\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180851?\nAnswer: 11, 41, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8672064 kilometers to millimeters.\nAnswer: 867206.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 6*w**5\/7 - 50*w**4\/7 + 58*w**3\/7 - 2*w**2 = 0.\nAnswer: 0, 1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51440 - 25719 - 25721 + 83*n**2 - 71*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 545.8615 millennia in decades?\nAnswer: 54586.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2657153 (base 8) to base 3\nAnswer: -1101212001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 3*n - 1. Let i be y(-5). Suppose i = 5*s - 1. Differentiate 0*l**s - l**2 - 1 - 1 with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38963*n**3 - 77920*n**3 + 38956*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -2\/11 (b) 2 (c) 31 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 407160 (c) -0.1 (d) 0.3 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1848 + 1854. Let b(x) = -2118*x**3 + x**2 - 2*x - 1. Let y be b(-3). Suppose -y = -2*w + a*w. What is w rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5097 is divided by 695?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let j(q) = 2*q + 532541. Give a(j(t)).\nAnswer: -4*t - 1065082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.2 - -0.2. Which is the smallest value? (a) -0.35 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -8, 52, 168, 358, 640, 1032, 1552?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 + -136. Suppose -3 + 1 = w. Let r be 77\/28 + (0 - 2). What is the nearest to 1 in r, a, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*9\/162)\/(12\/(-27)). What is the closest to 1 in 0.03, -0.2, w, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -38*(4 + (-45)\/10). Solve n = 31*s - 12*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/3, -176\/7, 0.5, -2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 14*n - 14. Let c(r) = 5*r**2 + 57*r - 56. Let s = 12 + -10. Let o(k) = s*c(k) - 9*b(k). Calculate the lowest common multiple of o(11) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.36, 2, 5, 120, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 12*o + 29 = 2*o + 8*o, 43*r + o - 13 = -68 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 33*b**2 + 17*b - 11. Determine m(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w - 4*w + 3*w)*(1 + 2 - 4)*(1168*w - 1310*w - 3324*w) in the form z*w**2 + y*w + v and give z.\nAnswer: -13864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 3 + -17 + (1 - 1 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11868 - -11873. Let u(n) be the second derivative of 0 + 0*n**4 - 11\/2*n**2 + 2*n + 0*n**3 + 0*n**y + 13\/15*n**6. Differentiate u(o) wrt o.\nAnswer: 104*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/30)\/((-18)\/45)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 4, -2, -119 in ascending order.\nAnswer: -119, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1.14, 2542, 2\/7, 4, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgxcxggtxggksgxtk. What is prob of sequence cxxx?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:01 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5770.\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 6*p + 1. Let f be t(7). Suppose -2*b + 3*d + 1 = -0*d, f = 4*b - 4*d. Let x = 22 - b. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(272) + sqrt(272) + 1) - (sqrt(272) - ((sqrt(272) + 0)**2 + sqrt(272))*5)) + sqrt(2448)*-1 + -6*(0 + sqrt(17) + sqrt(17)).\nAnswer: -40*sqrt(17) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*u - u + 115, -220 = -2*u + g. What is the remainder when u is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/24*2\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1695224 divided by 1695224?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 28682*h**2 - 17749200*h + 2689380000.\nAnswer: 2*(h - 300)**2*(h + 14941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 40, -5, 0, 51 in increasing order.\nAnswer: -42, -5, 0, 40, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64949 is divided by 1270.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892680579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72.64 in -1\/6, -0.12, -0.2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 400907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 4*b + 2*b)*(-32*b + 12*b - 30*b)*(0 + 1 - 2).\nAnswer: -200*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 18*o**2 + 3*o + 7. Let q(z) be the third derivative of -z**5\/5 - z**4\/12 - 5*z**3\/6 - 9*z**2 - 6. Calculate 5*j(i) + 7*q(i).\nAnswer: 6*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 - 468*y - 13. Let p(j) = -2*j**2 + 216*j + 6. Let g(s) = -6*h(s) - 13*p(s). Let a(w) = 9273*w. Calculate a(g(l)).\nAnswer: 18546*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*w + 7 = -0*k, 3*w = -6. Let b(m) = -m**3 - 4*m**2 + 3*m + 1. Is b(k) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.2, -17400, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*l + 85*l = 108*l + 48*l - 13668 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1936*c**2\/9 + 18739952*c\/9 - 45349406116\/9 = 0 for c.\nAnswer: 106477\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.639822 to 2 decimal places.\nAnswer: -19.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(4\/9))\/m)\/m*m*m**(7\/6) assuming m is positive.\nAnswer: m**(29\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 184*z + 18 + 27 - 222*z + 409*z.\nAnswer: 3*z + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 + 4*z**5 - 4*z**5 + (9*z**2 - 3*z**4 - 9*z**2)*(2*z + 6*z - 16*z) - z**5 + 2*z - 2*z.\nAnswer: 26*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0753 and -7087622195.\nAnswer: -7087622195.0753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*c - 2*s + 141, -9 = -3*s. Let z = 111 - c. Let w = -3 + z. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, y: 2, s: 4}. What is prob of picking 2 s and 2 d?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 2:47 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (53 - 53 + 9*q)*(-4*q + q**2 + 4*q)*(-17*q + 28*q + 18*q) in the form m + o*q + k*q**2 + f*q**3 + b*q**4 and give b.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(0 + (sqrt(200) - (sqrt(200) + 1 + sqrt(200)))))**2.\nAnswer: 11520*sqrt(2) + 115776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 1\/3*i**3 + 0*i**2 + 0 - 1\/3*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29655774 + -29655584.99917. Let h = f + -189. What is h rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8700, -34777, -78252, -139137, -217444, -313185, -426372?\n\"Answer: -2*a**3 - 8687*a**2 - 2*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/2 + -3)*(-3 - -1). Let c(d) = -d**2 + d + 1. Let j(k) = 6*k**2 - 4*k - 4. Determine b*j(g) + 4*c(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x. Let s(a) = a + 5*a + 3*a + 11*a. Determine p(s(z)).\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + sqrt(288))*2 + -3)**2.\nAnswer: 7920*sqrt(2) + 29889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 12 + 662\/(-74).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55722 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 998 + -9a1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 88006777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 13) in base 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22862*t = -22871*t - 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 0. Let v(x) be the first derivative of -x**2 + 1\/3*x**3 + 297 - x. What is v(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -16, -37, -76, -139, -232?\n\"Answer: -h**3 - 2*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (25 - (7 + -6))) + -7 - 2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*((-8 - 157) + 4\/2). What is the remainder when (-6 - c)\/(-10) - (1 - 0) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323231300 - 102?\nAnswer: -1323232002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -15*r**2 - 10*r + 61. Let p(i) = 17*i**2 + 10*i - 61. Let a(g) = -4*p(g) - 5*t(g). Is a(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {t: 5, a: 4, v: 2, n: 7}.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 11 = -85. What is the common denominator of 13\/2 and (86\/m)\/(2\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, a: 1, j: 2, p: 1}. What is prob of picking 2 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:22 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 706, 2791, 6252, 11089, 17302?\nAnswer: 24891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 646\/228*(3 + 4 + -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5333 - 83*j - 5333)*(-j**3 - 4*j**3 + 3*j**3) - 64*j**2 + 3*j**4 + 64*j**2.\nAnswer: 169*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41259 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 94*t + 1009 + 2015 = 0 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8b - -4?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, -2, -11, 5 in decreasing order.\nAnswer: 9, 5, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 4*b - 8. Let l(r) = r. Let h(m) = -k(m) + l(m). Let j be h(6). Calculate the greatest common divisor of 8 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(245)*-2 + (sqrt(5) - sqrt(10)\/sqrt(2)*6) + ((sqrt(55)*1)\/sqrt(11) - sqrt(5)) + 1*(sqrt(15) + -1*sqrt(240))\/(1*-1*sqrt(3)))**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 230.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 43*g**3 - 3*g**2 + 4*g - 7. Let l be 28\/6*(7\/14 - -1). Let k(h) = -14*h**3 + h**2 - h + 2. Calculate l*k(s) + 2*r(s).\nAnswer: -12*s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 3*f - 2. Suppose -4 = -v - 0. Let h be a(v). What is the third derivative of 4*q**2 - q**2 + 5*q**2 + 5*q**5 - 4*q**h wrt q?\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/(-34)*(-2 + 4\/(-2)). Let r be (b\/(-24))\/((45\/10)\/(-9)). What is the second smallest value in 2, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 6*g - 2 + 5*g**2 - 2. Let y be (-4)\/22 + (-216)\/(-99). Let z(h) = -2*h + h - 4*h + 3 - h**y. Give -3*x(m) - 4*z(m).\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.495186ml to litres.\nAnswer: 0.009495186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-2 + 0 - 9)*(1 - x**2 - 5 + 3)*(-22*x + 39*x + 27*x).\nAnswer: 484*x**3 + 484*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.019 (b) -1 (c) -0.5 (d) -6 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 11) to base 14\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let s = -186.8 - -20.8. Let i = 164 + s. Put 4, y, 5, i in decreasing order.\nAnswer: 5, 4, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 + -75. Suppose -2*p + 12 = 2*p. Suppose -3*f + 5*f - 2*u = 8, -p*f + 12 = u. Calculate the highest common divisor of f and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9035)\/(-364) - 25)*8?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 6 = 8*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -73 in ascending order.\nAnswer: -73, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17049*l - 11914.\nAnswer: 17049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*l + 2*v - 0, 3*v = -3*l + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -27, 28.03 in descending order.\nAnswer: 28.03, 2\/3, -27","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -12, -6 in ascending order.\nAnswer: -12, -6, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.056 in 0.4, -42, 3\/4, -9, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtt when three letters picked without replacement from {t: 6, g: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3 and -86\/15375.\nAnswer: 15375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*13.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 2, -15, -36, -61?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 21 = 12. Let s be (-5 - -5)\/(9\/3). Suppose s*g + 4*v = 4*g - 132, -2*g - v = -66. Calculate the greatest common factor of g and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 678*l - 24. Let m(o) = -2*o**2 + 677*o - 32. What is 4*f(u) - 3*m(u)?\nAnswer: -2*u**2 + 681*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233 (base 4) in base 14?\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1092)\/308 - (-12)\/22\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g = -39. Let l(u) = -15*u**2 + 15*u - 13. Let m(n) = -7*n**2 + 7*n - 6. Let j(f) = g*m(f) + 6*l(f). Find the second derivative of j(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -4*g**3\/3 - 2. Let v(c) be the third derivative of 0*c + 0*c**4 - 1\/60*c**5 + 0 + 0*c**3 + 44*c**2. Give v(f(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1019 + -4?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and 0.1158508.\nAnswer: 5.79254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-14)\/(-2) + (-440)\/45 + 0\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/6 + (-2)\/(-3). Suppose 0*l = f*l + 6. Let t be 0 + (-4 - l) + 4. What is the highest common factor of t and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 2*z + 0*z + (2 + z - 2)*(3 + 9 - 1 - 3 + 3 + 1 + (-1 + 6 - 3)*(-3 + 2 + 2)).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12798437957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/17 + -9\/68. Let a = -0.33 + 0.03. Put v, -1, a in decreasing order.\nAnswer: v, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-5))\/(g*(g*g*g\/(g\/g**3*g))\/g*g)*(g\/(g*g**(-2\/23)))\/g**(-9))\/(g**(2\/3)\/((g**5\/g)\/g)*g**(5\/4)\/(g**(-2\/23)*g)) assuming g is positive.\nAnswer: g**(145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j**2 - 14*j**2 - 9 - 186*j**2.\nAnswer: -231*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10\/13, -1.48, -4?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - -7) + 25278\/3. Let z = y - 1323. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303219681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493561 divided by -4?\nAnswer: -493561\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/540*3)\/(1\/16)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - l**4 - 3*l**3 + (2 + 3*l**3 - 2 + (1 + 2*l - 1)*(-4*l**2 + l**2 + l**2))*(-756 + 756 + 45*l).\nAnswer: -46*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 32*w - 53460. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73 and 730.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 100*z**2 - 89*z - 985. Let p be c(99). Let n(s) = s**3 + s**2 - 1. Let x be n(-1). Let t be 6\/1*x\/(-2). Solve t*a = -p - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367867391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdmz when four letters picked without replacement from mgggddqggdqzg?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10310888 by -5155444.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**5\/140 - 17*h**4\/84 - 19*h**3\/21 + 4*h**2 - 630*h. Factor b(t).\nAnswer: -(t - 1)*(t + 4)*(t + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/6 and (-43739)\/(-103050) - (2\/10 - 0).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 4*f**2 - 2*f - 5. Let y be s(3). Which is the second biggest value? (a) 5 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + sqrt(2736) + -2 + -1 + -2*(0 + sqrt(2736) + sqrt(2736)))**2.\nAnswer: 504*sqrt(19) + 24673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -59*j**2 - 2*j + 5. Let v(g) = -118*g**2 - 3*g + 9. Give -5*t(i) + 3*v(i).\nAnswer: -59*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/84)\/((27\/(-24))\/(-3))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110414912 rounded to the nearest 1000000?\nAnswer: 110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 7*p + 6. Let v be g(-6). Let w be v + 2*1\/(-3). Let f = -1 - -1. Which is the smallest value? (a) f (b) 2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 0)\/(2\/8*-4). Suppose m + 2*u + 6 = -0*m, m - 3 = u. Suppose -w*d + a + 27 = m, 0 = 5*a - 2*a + 9. What is the lowest common multiple of d and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.94 - 25.94. Let g = 3.4 - 3.3. Which is the nearest to g? (a) 1\/6 (b) -1\/6 (c) -1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9767.\nAnswer: 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5 + sqrt(68)\/sqrt(4))**2 - (sqrt(1088) - (2*sqrt(1088))**2)) + 5.\nAnswer: 2*sqrt(17) + 4395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 52*l**3 - l**2 - 2*l - 1. Let d be c(2). Let y = d + -258. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(720)*-1 + sqrt(720)) + (sqrt(200)\/sqrt(4)*4)\/sqrt(10))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - -1) + 285 + -311?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 416573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t**2. Let i be m(-1). Suppose -4*b = d + i, 0*b - d + 4 = -2*b. Let c(j) be the first derivative of -j**3 - j**2 + 2*j + 1. Determine c(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 14 = 2*h, -9 = -4*y - 3*h - 29. Is 4\/(-30) + ((-3373576)\/(-120) - y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3 = 238*p - 241*p, -5*d - 2 = -2*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5.5 * -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 0*l**2 - l**2 - 3*l - 12 as n + u*l**2 + x*l and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1710 divided by 855.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13520317 and 385273.7?\nAnswer: 13135043.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.62, -8335, 3\/2, 2\/15?\nAnswer: -8335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58120218 is divided by 29060109.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (4 - 8)) + (0 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1. Let v(r) = -r**2 - 4*r - 3. Let o(q) = -35*q**2 + 36*q**2 - 4 + 5. Let f(p) = y*v(p) - 3*o(p). Factor f(i).\nAnswer: -2*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + o = 435904, -5*l - 44594 = 4*o - 480525. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 14*c + 6*l = 110, 0*c - 2*c + 5*l - 83 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 5. Let d(p) = 48*p + 44*p - p**2 - 92*p. Determine d(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**4 + 6437*o**3 + 11121*o**2 - 1232248812 wrt o.\nAnswer: 4*o**3 + 19311*o**2 + 22242*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 30 + 35 + (12 - -16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6240014 - 1?\nAnswer: -6240015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.6 + -6.5. Let r = v - -2. Let j = -6 + 4. Which is the smallest value? (a) 3\/7 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwzvajm. What is prob of picking 1 z and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68539532\/176785 + -5\/70714. Let a = -326 - 62. Let x = a - k. Is 1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 16*h**2 + 46*h - 41. Calculate the remainder when g(18) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 2 - (55 - (7 + 58))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8679, 4, -5, 2.\nAnswer: -8679, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 10 + 13)*(4*i**4 - i**4 - 2*i**4) + i**4 - 3*i**4 + 3*i**4 + (3*i**2 + i**2 - 6*i**2)*(3*i**2 - i**2 - i**2).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.1 - 17. Let z = 25 + -25.3. What is the nearest to -3\/5 in q, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 7*b**2 + 3*b + 9. Let q be i(7). Let n = -2 + q. Suppose n*o + 85 = 33*o. What is the greatest common divisor of 68 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 l, 1 k, and 1 q when four letters picked without replacement from {l: 1, u: 1, q: 1, d: 2, m: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4 and 71\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 69\/545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 8*h - 13. Let x be n(9). Let z(q) = -5*q + 1. Let w(v) = -14*v + 2. Let p(d) = 3*w(d) - 8*z(d). What is p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6491 - 1651. Is 63 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbq when three letters picked without replacement from pbbqppqbbp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -20. Let h(v) = 4*v**2. Let i be h(-1). Let u = 14317 + -14315. Solve u = m*j + i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145818542*t**5 + t**4 - 766509905*t**2 wrt t.\nAnswer: -8749112520*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2134253\/4992 - -5559\/13. Calculate the common denominator of 73\/384 and i.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -27. List the prime factors of 96 + p*6\/(-9).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76784, 153684, 230584, 307484, 384384, 461284?\n\"Answer: 76900*k - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4128.2, 1\/3, -1\/2, 1\/2 in increasing order.\nAnswer: -1\/2, 1\/3, 1\/2, 2, 4128.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 26*g + 14400 = 0. Is g a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2 = 15*y - 14*y, 0 = y - 5*b + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:53 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/15 - 4 - 0.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.4 (c) -2 (d) -174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1*(-1)\/(-3)). Let q be (-1)\/j + 3\/9. Let r be (30972\/(-435) - -70)*14\/(-12). What is the fourth smallest value in 0.4, 5\/3, r, q?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 15752522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1, -1, -4 in increasing order.\nAnswer: -4, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**2 + 3. Let t(p) = 4*p**2 - 2*p. Calculate t(o(u)).\nAnswer: 144*u**4 - 132*u**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 2867*o**7\/70 - 3419*o**4\/12 + 5980*o**2. Find the second derivative of z(c) wrt c.\nAnswer: 103212*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*h + 227, -2*q - 3*h - 114 = -3*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 12\/21035 (b) 6 (c) 3 (d) 0 (e) 0.1 (f) -2 (g) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2, -469, -4\/11 in descending order.\nAnswer: 2, 2\/5, -4\/11, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - (9 - 7)) + (-9 - 2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58110 - 58096. What is the remainder when (-2)\/(-5) + 473\/5 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - h**3 + h**3 + (193*h - 55*h + 122*h)*(0*h**2 + 2*h**2 - 3*h**2) to k*h + j + d*h**2 + b*h**3 and give b.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqdo when four letters picked without replacement from {d: 2, q: 3, o: 1, t: 4, y: 6}?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72007867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 185.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + -2 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6255875686 to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 10. Let z be ((-6)\/4)\/3*f. Suppose z*t + 15 = 5*g, -g = 3*g + 3*t - 12. Solve -2*o - o = -g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/37))**(-27)\/((r\/(r\/((r\/r**11)\/r)*r))\/(r*r**(-14)*r)) assuming r is positive.\nAnswer: r**(54\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2237 - -15657\/7. Let f = -0.7 - 30.3. Which is the biggest value? (a) h (b) -4 (c) f (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1034*u**2 + 119*u + 50. Let k be x(50). Round k to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 91 - 89 = 0. Let m = 1607\/3 - 548. Find the common denominator of (-3)\/d - 267\/(-18) and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41462667 to the power of 1\/2, to the nearest integer?\nAnswer: 6439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447 (base 9) to base 11.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(66) + sqrt(66)) + (sqrt(66) - (sqrt(66) - -4*sqrt(66)*-3 - sqrt(66)) - sqrt(66) - sqrt(66)))\/(sqrt(48)\/(sqrt(1152)*5)*-2).\nAnswer: -690*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1471*h = -1442*h + 69281. Which is smaller: -2392 or h?\nAnswer: -2392","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (0 - (-7 - -5 - -51)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -36. Let z(s) = -s**2 + 14*s + 9. Calculate the remainder when z(10) is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333 minus 428?\nAnswer: -1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r - 5. Let p(d) = -3*d - 1. Give -11*p(n) + 2*q(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 11:03 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2450 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 3*m + 56, 2*m = -4*y + 128. What is the highest common divisor of 279 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60 and 2.9?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert c20dc (base 14) to base 12.\nAnswer: 1a6096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*d*h*u**2 + 2*d*h*u + 194*d*u - 2*h*u**2 wrt u.\nAnswer: 206*d*h - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.57 times 57\nAnswer: -146.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.4, -5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3780\/1215)\/(4\/(-36)*2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13147280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12130 (base 7) to base 3\nAnswer: -11022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(1*2\/4*-1). What is the greatest common divisor of q and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 11 = -m + 2*m, m = w + 5. Let n(l) = l**2 + 17*l - 4. What is the remainder when n(-19) is divided by -1 + 2\/(w\/(-13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33349971?\nAnswer: 3, 17, 29, 22549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19843 and 0.1.\nAnswer: 1984.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -127\/1810 or -1?\nAnswer: -127\/1810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {j: 1, p: 11, c: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 279 - -65. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 4:27 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + h**2 + 20. Let t be f(0). Let x be 47\/(-5) - (-8)\/t. Does 6 divide 2\/(3*(-1)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**6\/240 - g**5\/80 + g**4\/96 - 4*g. Let v(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36600943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**3 - 11*r + 9. Let q(z) = -4*z**3 + 6*z - 5. Determine 6*n(g) + 11*q(g).\nAnswer: 4*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1029) + sqrt(1029)*-1)\/(sqrt(3) + sqrt(1200)) + 2))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138196 is divided by 6662?\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*c*m*y**2 - 4*c*m*y - 10*c*y**2 - c*y + 39*m + y**2 + 779 with respect to m.\nAnswer: -24*c*y**2 - 4*c*y + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35488 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: Factor 4*q**4 - 23*q**3 + 47*q**2 - 40*q + 12.\nAnswer: (q - 2)**2*(q - 1)*(4*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -1\/4, -27, 0.4, 1\/286, -9, -0.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 680 = 60. Let a = s - -79. Solve -3*j = 2*j - a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832 - 67*q + 8395*q**2 + 832.\nAnswer: 8395*q**2 - 67*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a3 - 6095?\nAnswer: -6188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {p: 1, j: 2, y: 2, i: 1, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 199226478 a multiple of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 + 36*m + 136. What is i(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/12 + 2\/(-4). Suppose 0*n - n + 2 = l. Differentiate 5 + n - 3 - 4*o**4 with respect to o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) -338025 (c) -5 (d) 0.2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -m + 5*v + 67, 67 = m + 2*v. Solve -m = 4*g - 55 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/12 + 425*i**4\/24 - 890*i**3\/3 + 11*i**2 + 4*i + 17. Factor f(v).\nAnswer: 5*(v - 4)*(v + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 6*i**2 + 3*i**2)*(1 + 1 - 5)*(4 - 2 + 2) + (-2*i - 2 + 2)*(-175 - 16*i + 175).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 108 = 5*v. Put v, -3, 3, 0 in descending order.\nAnswer: v, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {n: 8, k: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6461 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 3*z + 4*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 12:22 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q = -26 - 762 + 11 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Suppose d*k - 10 = -0*k, 150 = 5*o - 5*k. Let t = -26 - -38. What is the remainder when o is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 33.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + z**3 - z**3)*(0 + 0 - z) - z**4 + 0*z**4 + 3*z**4.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 - 16*n**2 + 2*n**2 - 17*n**2 to g*n**2 + d + w*n and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2773*a**3 + 2*a**2 + 2*a**2 + 2063*a**3 - 6*a**2 to w + q*a**3 + m*a + g*a**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350487*y**5 - 1971*y**2 - 15*y - 5?\nAnswer: 21029220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/3, 1\/6, -1\/6, 2 in descending order.\nAnswer: 2, 2\/3, 1\/6, 0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/3 - 170*f\/3 + 1628\/3 = 0. Calculate f.\nAnswer: 11, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 6*o**3 - o**3 - 3*o**3.\nAnswer: -10*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*g + 113 = -275 - 737 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 3987*l + 6. Let x(k) = 4*k**2 - 7974*k + 15. What is 5*a(h) - 2*x(h)?\nAnswer: 2*h**2 - 3987*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 + -64. Calculate the lowest common multiple of s and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2394048 to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 53\/3 + 13\/39. Which is smaller: k or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15403*f**2 - 7670*f**2 - 7713*f**2.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 20*t. Let c(n) = -142*n. Calculate s(c(g)).\nAnswer: -2840*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5 + (-33)\/(-60))*-16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -420 - -2101\/5. Let q = 22 + -22.56. Let t = -0.06 - q. What is the biggest value in t, d, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*q**4*r + 18*q**2*r + 10256*q*r + 700*r - 7333 with respect to q.\nAnswer: -88*q**3*r + 36*q*r + 10256*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456 divided by -1228?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318 and 4770?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 181523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/2)\/(3\/21). Let o = y + 13. Let q(p) = -p**3 + 7*p**2 - 4*p + 8. Does 7 divide q(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17961.13 + -17961. Put -0.11, i, -16 in decreasing order.\nAnswer: i, -0.11, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -2*p**7\/21 + p**5 - 14*p**3\/3 - 293*p - 2. What is the second derivative of v(l) wrt l?\nAnswer: -80*l**3 + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51707 is divided by 17229.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 954.124 centimeters in meters?\nAnswer: 9.54124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44322157.88 rounded to the nearest 10000?\nAnswer: 44320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (5 + -15 - (10 - 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:47 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -4, 514, -2 in decreasing order.\nAnswer: 514, 43, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2660)\/(-30)*(-3)\/2. Let r = d + 129. Let b(z) = -16*z - 18. Let q(u) = u + 1. Let x(w) = b(w) + 12*q(w). Give x(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*a = -16. Let p = -40 + 60. Calculate the lowest common multiple of p and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741246.\nAnswer: 2, 3, 11, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**22*y)**(-1\/30) assuming y is positive.\nAnswer: y**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3300668823398 minus -5?\nAnswer: -3300668823393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1522462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 543901060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-64)\/(-6))\/(9 + 650\/(-75)). Solve -9*h + x = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**4 - 6*t**3 + 3*t**2 - 4*t. Let k(d) = d**4 - d**3 - d. Let n(o) = j(o) - 3*k(o). Factor n(w).\nAnswer: w*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252 - (98 - 98))\/(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 - 103) - ((-77 - 126) + 184)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7762 - 7762.1. What is the nearest to -1 in o, 1\/5, -6\/35, 3\/4?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*b - 4, -3*y - 2*b - 37 = -28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -2 (c) 0.2230905\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12341.85l?\nAnswer: 12341850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6485.10764 rounded to the nearest 100?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 83*(-2)\/2*-1. Suppose -p = -3*x - 17. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 2)*(15196 - -199)?\nAnswer: 5, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10037*o**4 + 5461*o**2?\nAnswer: -240888*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17580 and 960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1388, 18, -7, 2\/11 in descending order.\nAnswer: 18, 2\/11, -4, -7, -1388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -62. Let h(r) = -m + 3*r + 21. Let g(i) = -4*i. What is h(g(x))?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {g: 5, b: 8, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -859 - -1564. What are the prime factors of g?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8136 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 9. Let d = g + -11. Which is the biggest value? (a) d (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 4*m**2 - 2*m + 1. Let h be y(-3). Sort -5, h, 2.\nAnswer: -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4869249 years in millennia?\nAnswer: 0.0004869249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3290949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:29 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 4*m**6\/15 - 19*m**5\/60 - 69*m**2\/2 + 39. Let g(f) be the second derivative of p(f). Find the third derivative of g(s) wrt s.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -111454, -445859, -1003238, -1783621, -2787038, -4013519, -5463094?\n\"Answer: -5*u**3 - 111457*u**2 + u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 60668, 60623, 60578, 60533?\n\"Answer: -45*m + 60713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*s + 2227 = 2210, 0 = -3*t - s - 0*s + 19 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u = -101*u + 49*u + 45. Let q(d) = d - 7. What is q(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 9. Let p(k) = -k**3 - 8*k**2 - 6*k. Let n be p(-7). Let w be y(n). Sort w, -5, 3 in decreasing order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*4*-1.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**1*r*r\/r**4)**(-1\/23)*(r**(1\/2)\/r)**(-4\/35)*(r*r**2)**(10\/3) assuming r is positive.\nAnswer: r**(8166\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1062, 976, 902, 846, 814, 812?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 4. Calculate g(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*l, -5*s - 29*s + 2*l - 404 = 14*s + 3*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304.879 - 304.2. Which is smaller: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**3 - 3 + 3 + 1 - 2 - 1 + 2*o**3 + (2*o + 3*o - 6*o)*(0*o + 0*o - o**2).\nAnswer: 7*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17885*s + 6893*s + 6968*s + 2828*s + 5757*s to the form b*s + k and give b.\nAnswer: 40331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i**3 - i**3 + 3*i**3)*(-2 + 3 - 3).\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 17*a**2 - 4*a + 1. Let f be o(1). What is the highest common divisor of f and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(1*sqrt(52)*3)\/(sqrt(64)\/sqrt(4)).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -558 + 561. Let b = 209 + -1889\/9. Sort b, 2, o, 1 in ascending order.\nAnswer: b, 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247 - 99. Let i = 153 - f. Which is the second biggest value? (a) 2 (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -1166, 1?\nAnswer: -1166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.341422 millennia?\nAnswer: 34.1422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -15353?\nAnswer: -15356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218198?\nAnswer: 2, 3, 191, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1788, 1787, 1788, 1791?\n\"Answer: f**2 - 4*f + 1791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.186 times 148620?\nAnswer: 27643.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 86*o + 9*o**2 - 87*o)*(-o + o - o) - 89*o + 5*o**3 - 4 - 6*o**3 + 91*o.\nAnswer: -13*o**3 + o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*x - 455 - 1265 - 3768 = 0 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 612 + 612 - 8*y. What is t(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200686175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842*o = 3*u - 840*o - 18, -5*u = 2*o - 26 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-16) + 38\/(-24) + 2. What is the smallest value in z, 0.5, 2, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129 (base 10) to base 16\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(39\/(-6) - -5). Let j = u - -25. Suppose -j*x + 453 = -14*x. What are the prime factors of x?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + k + 14 + 2, -3*q - 4*k + 31 = 0. Suppose q*g + 91 = 1011. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*h - 23 = 89*h + 4*v, h + 4*v + 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.93 * -24697\nAnswer: -22968.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16)*66\/33.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 506 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 6*x - 8, -d + 2*x - 8 = -3*x + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*g = -2043*g - 12913 - 11483 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5672 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b = -1652 + 1034 - 1407 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/47995 and -50\/9?\nAnswer: 431955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3\/5, -48, -2 in decreasing order.\nAnswer: 0.2, -3\/5, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 816 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 4.9\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 7:00 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 14*w = -14. Let t = -238093\/40 - -5951. Let i = 9\/8 + t. Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r + 34*r + 78*r + 9555 = -40*r for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -37*y**2 - 80*y - 86. Give r(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 16. Let v(j) = 5*j + 24. Let p(i) = 8*u(i) - 5*v(i). Let g be p(4). Solve 3*o + 6 + 4 = 2*y, 3*y = -5*o - g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 8456128 + 8456128.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12686543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1470\/65011?\nAnswer: 1470\/65011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.75 - 30.65. Let u = -3 - -5. Which is the nearest to -0.2? (a) h (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9491 + 18865 = -556*w for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1232)\/(-1144)*(-39)\/(-9). Let s(d) be the first derivative of 2\/9*d**3 + 3 - u*d - 2*d**2. Factor s(a).\nAnswer: 2*(a - 7)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-5\/2))\/(s*(s**(-1\/7)\/s)\/s*s*s))**(6\/11))**(-29) assuming s is positive.\nAnswer: s**(261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 0*p)*(0*p - 2*p + 0*p)*(-1 - 1 + 3)*(1387*p - 476*p + 36 - 36).\nAnswer: 3644*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2301 or 2303?\nAnswer: 2301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -9*j - 6. Let d be j - 0\/(7 + -5). Suppose d = -l + t + 1, -5*t = -t - 16. Solve 4*r - 4 = -4*a, 0 = 3*r - 0*r - l*a - 27 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -353410000 rounded to the nearest 1000000?\nAnswer: -353000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*x - 39, -4*x = -2*i + 6*i - 24. Suppose -4*m = 3*k - 14 - 10, -k = -2*m + 22. Calculate the greatest common divisor of m and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)*a**(-16))\/(a**(-4\/19)*a*a**(3\/4)*a) assuming a is positive.\nAnswer: a**(-4303\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968179?\nAnswer: 37, 137, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/18*(-22)\/(-44)*-18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53.2 + -3.2. Let x = -52.7 + m. Let k = 2.3 - x. Which is the third smallest value? (a) -2 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17696\/2528 - -2*361\/(-14)) + 6\/(-14)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 32*j**2 + 2*j - 65. Let c be x(32). Which is smaller: -3\/865 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 1 (c) 0.3 (d) -0.5 (e) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120213891 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f\/((((f\/(f*f*f**6)*f)\/f)\/f)\/f*f))\/(f*f**0\/f*f*f)**40)\/(f**2*f\/f**(-15)*f)**17 assuming f is positive.\nAnswer: f**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3290 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/213?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((2*sqrt(153))\/sqrt(9) + (sqrt(170)*1)\/sqrt(10)) + 2)**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y - 57. Let v be b(0). Let p = 108 + v. Let x be (-8)\/(-32) + p\/(-12). Is x greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.5747682 + -0.76.\nAnswer: -5.3347682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 928.1*7.7\nAnswer: 7146.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2898376, 5796738, 8695100?\n\"Answer: 2898362*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 16. Let k be (10\/(-25))\/(1\/35). Let i(q) = q**2 + 13*q - 9. Let c be i(k). Let x be p(c). Is x at most 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5814*o + 5613*o - 380362 = 133853 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 633915781 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15\/14 + -43\/42. Let p(v) be the second derivative of -1\/70*v**5 - 1\/42*v**4 - 5*v + 0*v**2 + o*v**3 + 1\/105*v**6 + 0. Factor p(j).\nAnswer: 2*j*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.56 + 0.537. Round m to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420 = -37*o + 202 + 214 + 311 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26b - -b?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-115)\/299)\/((-10)\/12).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 11*g**3 + 4*g - 8 + 17 - 4*g**3.\nAnswer: 7*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1101101011011101010111011?\nAnswer: 1101101011011101011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*1)\/sqrt(6))\/(sqrt(200) + -2*sqrt(200) + sqrt(200) + sqrt(200)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9980472049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + d + 32. Let i be h(-5). Let a(p) = -p**2 - 1. Calculate a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1*-1 - -1. Let c = 43 - 41. Find the third derivative of -4*i**2 - 3*i + 5*i**c + k*i - 3*i**4 wrt i.\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k + 248 = 578. Calculate the remainder when 85 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.161541381 to five decimal places.\nAnswer: 0.16154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16370*f + 2268*f - 5136*f to the form k + a*f and give a.\nAnswer: -19238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c + 23*c - 128. Solve 0 = m + c*s - 11, -5*s = -m - m - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uauuuauuvauuaauauau. What is prob of picking 3 u and 1 a?\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 619533201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 11:37 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 4:35 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = 12*s - 23. Solve -5*a + s = 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 66*d + 816. Determine s(30).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose -s - 6 = -d + 8, d - 26 = -u*s. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**3 - 9*g**2\/2 - 6*g - 5. Determine k so that a(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221 - -321332201?\nAnswer: 321330320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 14)*15\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 + -9 + -6 + 909. Sort r, -5, 5 in ascending order.\nAnswer: -5, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 165 - 5*c**2 - 156 - 5*c + 4*c as r*c + x*c**2 + h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 235152 and 3692.\nAnswer: 3056976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -644, -967, -1290?\nAnswer: -1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32891 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(97092\/18848) - ((-1578)\/(-174) + -9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 64 = 0. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 41*o - 2. Let d be (-1 - -1)\/((-4)\/2). Suppose -2 = -2*z - d*z. Is j(z) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwgjbyjjywgjwyvjwwg. What is prob of picking 1 y and 1 v?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0.1 (c) -2\/37 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 459 (base 10) to base 15\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -190*i - 46*i - 204284 + 191304 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -897612 by -149602.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*g**4 + 27*g**4 + g**2 - 5 - 3*g + 3 + 4*g**3 as v*g**3 + t*g + j + f*g**4 + q*g**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.11, -8\/3, -10, -1\/2, 4\/3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7.125*-1598\nAnswer: 11385.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -74, -0.22 in decreasing order.\nAnswer: 0, -0.22, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 3*q + 103085. Let w(p) = p**2. What is x(w(s))?\nAnswer: s**4 - 3*s**2 + 103085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6 - (2 - 4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-7*4\/(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**2. Let n(h) = -63*h. What is n(g(d))?\nAnswer: -378*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + m - 1 - m + m + 4*m + (2 + m - 2)*(-3 - 1 + 6) + 0*m + m + m - 2*m + 4 - 4 to i*m + n and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - b - 4 = -19*x, 0 = -4*x + 3*b + 12. Let u = 24 - 44. Let s be (-2)\/6 - u\/6. Solve x = g - s*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 15. Let p be t(11). Is (-2253)\/p + 8\/(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -51*q + 79. Let s be d(-7). Let i = s - 224. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 689*x - 682*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 8*l - 21. Let d be f(-6). Let t(i) = -i**3 - 10*i**2 - 13*i + 7. What is the tens digit of t(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/8)\/((-20)\/16). Let x be (-2)\/(-6) + (-1)\/(-3). What is the second biggest value in x, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 431665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 1:14 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/2 - y**4\/12 - 2*y**3\/3 + 4*y**2 + y - 14. Is d(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 24 = 13*n. Suppose p + 12 = n*i + 3*p, 4*i = 3*p + 32. Let v be (-13)\/78 + 15\/63. Sort v, i, -0.4.\nAnswer: -0.4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 914681.9 days to hours.\nAnswer: 21952365.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 + 0*x**3 - 2*x**3 + 0*x**3 - 4*x**3 + 2*x**3 + 2*x**2 - x**3 - 2*x**2 + (-1 - 2 + 1)*(-x**3 + 0*x**3 - x**3).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 10*s**2 + 11*s**2 - 2*s**3 as i*s + p + g*s**3 + n*s**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31848.36 - -31848. Which is the biggest value? (a) -0.1 (b) x (c) 1\/48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 656222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -2*c**2 - 4854. Let h(b) = 32*b**2 + 16*b + 16. Let v(f) = 11*f**2 + 5*f + 5. Let m(n) = -5*h(n) + 16*v(n). Give m(o(d)).\nAnswer: 256*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 75, 276, 641, 1212, 2031, 3140, 4581?\nAnswer: 6396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 993 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 18 + 3*y - 20 + 38.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 55*m - 66*m. Solve -2*x = -10, -4*x - 1 = m*g - 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, s: 2}. Give prob of sequence se.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -473.797 - -474. Let g = -0.093 + 0.09. Let t = a + g. What is the closest to t in 0.4, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 + 89. Let a(x) = 2*x + 24. Let m be a(t). Solve 0 = -m*r + 6*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 2. Give h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -31*y**4\/4 - 19*y**3\/6 + 11*y**2\/2 + 18*y. Let b be v(-15). Let x = 31129 + b. Round x to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19179 - 19179.000072988. Round t to six decimal places.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**6\/45 + 3*i**5\/10 - 7*i**4\/6 + 19*i**3\/9 - 2*i**2 + 67*i. Factor s(t).\nAnswer: -2*(t - 6)*(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -21*i**2 - 21*i - 9. Let n(g) = 5*g**2 + 5*g + 2. Let m = -105 + 96. Let k = 9 + -11. Let h(c) = k*f(c) + m*n(c). Suppose h(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**3\/6 + 6*n - 124. Let c(u) = 1570*u**2. What is i(c(s))?\nAnswer: 1570*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 596681.5 decades in millennia?\nAnswer: 5966.815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - (-17 + 8 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 90*y**2 + 4*y + 4. Does 23 divide n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2002000 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2))\/m**(-1\/3)*m**0\/m*m**4\/m assuming m is positive.\nAnswer: m**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 321937560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((69\/51)\/(-23))\/(4*(-2)\/(-8)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164055?\nAnswer: 5, 443, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 278360387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 19. What is the nearest to i in 3\/2, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*f = f - 30, -3*f - 5 = -4*u. Let p be (1 + 21)*8\/((-10)\/u). Are -87 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 d when three letters picked without replacement from {d: 6, r: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541984 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -m - 4, 4*m - 2*v - 5 = -15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16285509 divided by -4?\nAnswer: 16285509\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) - 372\/(-27). Let m = c + -31. Let l = m - -81. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1122, -2241, -3350, -4443, -5514, -6557, -7566?\nAnswer: -8535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 253086499 divided by 4148959\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 534.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = 2*y + 17 + 13, 8*y = -73*t + 75*t + 43 - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (249\/(-6))\/((-4)\/(-3)). Let v = 31 + l. Let w = -0.1 - -0.2. What is the closest to -1\/2 in v, w, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.65 - -1.35. Let n = 218\/5 - 44. What is the biggest value in 2\/7, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2. Let d(u) = u**2 + 2*u**2 - 28 + 28. Calculate m(d(g)).\nAnswer: 54*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 238053*x + 2618508. Give n(11).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2\/7 - 504460*p\/7 = 0. What is p?\nAnswer: -126115, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microsecond in nanoseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*m - m + 8, -3*t = -2*m - 13. Solve 4*p - p = 0, -i + t*p = -2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 580 = -515, -61 = -3*y - 0*y + 4*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/9)\/14*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 45 = 1579*t - 1574*t, t = 2*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let m = -5 + 7. Let q = m - k. Sort -3, -1\/2, q in ascending order.\nAnswer: -3, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -2 - 3*2. Let q be (0 + i)*38\/(-8). Suppose z = -4*p - 2*z + q, -4*p + 4*z + 12 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 797405?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*l + 23 = 0, 0 = l + 4*l + 5. Suppose 5*p + 15 = r*a, 23 = -5*p + 4*a - 3*a. Let m(u) = 2*u + 4. Determine m(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -0.1383, 29802?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 55, 54, 53, 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16941 * 5.\nAnswer: 84705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12539 minus 3?\nAnswer: -12542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -8808395 and 7067.\nAnswer: -8801328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 2114*x**2\/5 + 199680*x + 27252000.\nAnswer: (x + 300)**2*(x + 1514)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (6\/57 - (-222)\/57). Let l be t + 1*-4 - (40 - 52). Solve -l = -0*d - 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/(-90))\/(-1))\/(310737\/88782)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-1) - 9)\/(15 + -16). Suppose -w*l = 8*l - 1296. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104864 divided by 58\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7062, -7076, -7094, -7116, -7142, -7172, -7206?\n\"Answer: -2*z**2 - 8*z - 7052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/2, -2\/3, 22\/9, -4, -0.4 in decreasing order.\nAnswer: 22\/9, 3\/2, 1, -0.4, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - z**2 + 3*z + 2. Let s be i(-3). Let c(v) = -2*v**2 + 23*v - 9. Let n be c(s). Factor -8*q**2 - 2*q - 2*q + 3*q**n - 4*q**3 - 3*q**2.\nAnswer: -4*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q**5 + 3108*q**4 - 3153*q**3 - 8562*q**2 + 4707*q + 7020 = 0. Calculate q.\nAnswer: -260, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + 10. Suppose x - 2*x + 3*i = -99, i + 289 = 3*x. What is the remainder when x is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32571 divided by -2?\nAnswer: 32571\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(128) + (sqrt(128) - 2*sqrt(128) - sqrt(128))*4)\/(-3*sqrt(64)) + -1).\nAnswer: -14*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -460\/61 or -8?\nAnswer: -460\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/6)\/(8\/(-360)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/45)\/((-2)\/(-18)*-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - n + 2. Let d be ((-4 - -4)*-1)\/(-2). What is v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(11 - 14 - (-1 + -3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1242 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -2*t**3 - 21*t**2\/4 - 9*t\/2 - 2. Let u(k) = 0. Calculate k.\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**6\/10 - 19*a**3\/6 - 17*a. Find the second derivative of d(m) wrt m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 17. Let o(b) = -2*b + 16. Give -7*o(j) + 6*v(j).\nAnswer: 2*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1564*x**2 + 532*x**2 + 548*x**2 + 527*x**2.\nAnswer: 43*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220 (base 3) to base 4.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1688*s - 5 = -1683*s, -4*b - 1 = s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.210286 tonnes?\nAnswer: 4210286000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + x**2 + 3. Suppose -3 = b - 0. Let w be -1 - ((-12)\/(-4))\/b. Let z be a(w). Solve -z*l - 4 = -5*u, 0 = 3*u - 2 - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 + 1604*l - 64414*l**5 + 64393*l**5 - 5 - 7*l**4 wrt l.\nAnswer: -420*l**3 - 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 - 2*y**2 - 3*y**2 + (y + 2*y - 5*y)*(6*y - 3*y - y) - 3*y + y**2 + 3*y)*(4*y - y - y) as n*y + x*y**2 + v*y**3 + q and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 61. Calculate the least common multiple of k and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1734\/(-6069)*945\/5\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-26496)*-48)\/(12\/12)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 542*v**2 - 2*v - 2. Let y be z(-1). Let k = 562 - y. Which is smaller: 17 or k?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r - 8 = -26*r. Solve -q + 6 = r*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 6) to base 16\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3344, 4282, 5836, 8006?\n\"Answer: 308*g**2 + 14*g + 3022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {l: 5, g: 2, h: 1, j: 4, f: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1920 - 3*i - 719 + 2678.\nAnswer: -3*i + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 60*b - 6*b)*(-126*b + 52*b - 11*b) + 5*b - 5*b + 2*b**2 + (3*b + 0*b - 4*b)*(2 - b - 2) + 2*b**2 + b**2 - 2*b**2.\nAnswer: -4161*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g - 29. Let u(z) = 3*z + 1. Let k(b) = -d(b) - 2*u(b). Determine k(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12982, 52119, 117410, 208855, 326454?\n\"Answer: 13077*t**2 - 94*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2. Let k(b) = -748615*b. Determine k(c(t)).\nAnswer: -2994460*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-136)\/(-22) - 2\/11) + -3. Suppose r*o + 3 = 6*o. Let z = 324 + -5510\/17. Which is the closest to o? (a) z (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12266860 by 34.\nAnswer: 360790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3bab43 (base 13) to base 8\nAnswer: 5423636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o - 72*o = 5*a - 36, -3*o - a = -7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 - 53*o**2 + 14*o + 103. Calculate the remainder when 1525 is divided by r(-11).\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from okbbkbbbbksobbsb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506.9978 millimeters to micrometers.\nAnswer: 506997.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 4*h**2 - h**2 + 5*h**2 to z*h + o*h**2 + j and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*o - 14. What is the second derivative of o*f**3 - 16*f - 21 - 13 - f**2 + 34 wrt f?\nAnswer: 42*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 44, 81, 138, 221, 336, 489?\n\"Answer: w**3 + w**2 + 13*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 329483?\nAnswer: -12\/329483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116\/15*t + 1682\/15*t**2 + 2\/15.\nAnswer: 2*(29*t + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1564*i + 20089. Determine k(13).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*h - 93, 4*w - w = -3*h + 63. Let x be (11 - (9 - 4)) + -40. Let a be (1 - x) + (-4)\/(-20)*-5. What is the greatest common divisor of a and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j**3 + 2*j**2 - 3*j. Let c be i(1). Suppose -c*r = -14*r + 36. Solve -2*f = -5*f + r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*v = 57*v + 342 - 986 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvlvzlvvzllztl. What is prob of sequence tvv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4220 - 7296 = -466*d + 1155 + 19483 for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12 and -37\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/7)*i**(-15) assuming i is positive.\nAnswer: i**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 12. Let n = 11 - 15. Let k be (n\/(-10))\/(2\/50). Let v be c(k). What is the highest common divisor of 18 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60517068?\nAnswer: 2, 3, 307, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2130 + 1613 = -308*j + 111*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/((6\/8)\/1). What is the highest common factor of x and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -524, -1051, -1578, -2105, -2632?\nAnswer: -3159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20154 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12269338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 0.4, 460, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - j**3 - j**3 + (-j**2 + 1 - 1)*(-7*j - 6*j + 3*j) + 7*j**3 - j**3 - 3*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/3)\/j**(1\/21))\/(j\/j**(-2\/7)*j**(-1\/4)))**44)**(-29) assuming j is positive.\nAnswer: j**957","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a - 3*l + 51 = -53*a, 0 = 3*a - 5*l - 75. Solve -22 + a = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 0 - 23*u - 19\/6*u**3 - 1\/2*u**2. Give i(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - (-3 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 163216.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2\/3 + 2480416*f\/3 + 769057941632\/3 = 0.\nAnswer: -620104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.96 + 4975.\nAnswer: 4973.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2389 + 2871 = 0. Let k = i - 542. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/x**(-2\/5))))**(-33) assuming x is positive.\nAnswer: x**(-231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3 - 6*q - 4 + q**2 + q. Let x be 8\/36 - (25\/(-9) + 1). Suppose -r = x*r - 21. Calculate f(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 281 + 544 = 0. Calculate the common denominator of -32\/25 and 1 + 109*(-3)\/x.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28183453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-14))\/(14\/1519).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 = 26. Let h be (1 + 1)*m\/(-14) - -127. Suppose -36 = 9*v - h. Calculate the remainder when 39 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3*v = -8, -4*k - 617 + 653 = -4*v for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -44. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835023 is divided by 2263?\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12*o - 11*o + 3 - 3. Let h(g) = -6*g**2 + 2*g + 1. Let s(m) = h(m) - 2*y(m). Suppose 0 = 3*u + 2*u + 5. Determine s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151814 by -5.\nAnswer: -151814\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, j: 5, d: 4, b: 5}. Give prob of picking 1 b, 1 e, and 2 d.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4*(1 + sqrt(2057) + sqrt(2057)) - (sqrt(2057) + 6*-2*sqrt(2057))) + 4)**2.\nAnswer: -4455846 - 20064*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13)*-2 + (sqrt(91)\/(sqrt(21)\/sqrt(3)))**2.\nAnswer: -4*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/344 and 1\/616?\nAnswer: 26488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -194*t - 1345. Let u be g(-7). Suppose 0*s - 2*s + 6 = 0. Find the second derivative of s*j**3 + u*j**3 + 7*j + 14*j + 10*j wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78332 + -18799577\/240. Calculate the common denominator of y and 46\/21.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/525*(-42)\/124?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = w - 8*s + 11*s, -w + 3 = -s. Which is the second biggest value? (a) 0 (b) -6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*r + 39 = d, 5*r = 2*d - 18 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93626327657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k**2 - 42*k + 66. Let l be n(-6). Solve 0 = -18*z + l - 156 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 227 - 232. Let d be -3 - a - 0 - (-16)\/(-8). Solve k + 3 = -d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943578.1mm to micrometers.\nAnswer: 943578100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**3 + f**2 + 1. Let x(g) = 17*g**3 + 3*g**2 + 4. What is 9*h(k) - 2*x(k)?\nAnswer: 2*k**3 + 3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 750 divide 303029250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -322 - -323. Let n(g) = -g**3 + 3*g**2 - 3*g + 1. Let l = 6 + -4. Let h be n(l). Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2037 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**2*k**2 - 1140*g**2 - 205*g*k + 21 wrt k.\nAnswer: -8*g**2*k - 205*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (22 - -2) + 3 + -3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/5, -37\/2, -0.4, -5, -2.2, -7.57?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 50*s + 1460. Give o(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41971673 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-366)\/(-9) + (-2)\/3. Let p(b) = -b**2 - 10*b + 7. Let q be p(-10). Suppose j + q = y. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 11*c + 80 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**5\/11 + 1850*q**4\/11 + 118856*q**3\/11 + 1974528*q**2\/11 = 0?\nAnswer: -857, -36, -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 23*d - 6. Let m be t(12). Let r(f) = -f**2 + 11*f - 14. Let l be r(m). What is the greatest common divisor of 40 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 4 (c) -603\/44 (d) 91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6273.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 4. Let q be o(-9). Is (-631)\/(q\/(-3) - 4\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 0. Suppose n - g*n = -3*o - 63, 5*n + 2*o = 73. Let m = n + -11. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -5)\/(1 - (-1)\/(-4)). Solve 3*g - j = -7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-42) + (-22)\/(-14). Suppose 0 = -4*r + g + 11512, 4*r + g = w*r + 5750. Suppose 6*a - 9*a + r = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99*((15 - (-3582)\/(-234)) + (-11)\/((-429)\/(-27)))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -7 (c) 0 (d) -15\/17 (e) 2\/11 (f) -4\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 446541667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8892656*5.\nAnswer: 4.446328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 5*g + 15, 307*v + 3*g - 28 = 312*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 9*y**2 + 10*y - 10. Suppose 36 = -3*u + 132. Let n = -23 + u. Is k(n) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 45*l + 5. Let z be x(-45). Suppose 6*c - 100 = c + 4*o, -z*c - 3*o + 135 = 0. What is the remainder when 114 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 893 = -117. What is the second derivative of 301*r**2 - 24 + 11 + 13 - h*r wrt r?\nAnswer: 602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -934*p**3 + 324*p - p**2 + 931*p**3 + 238*p to the form k*p + h + l*p**2 + m*p**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6012424 divided by -176836?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 172 = 18*p - 16*p, w - 2*p - 22 = 0 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367217*k + 367214*k + 0*k**2 + 6 - 12*k**4 - k**2 to g*k + h*k**2 + d*k**3 + f*k**4 + y and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 19 - 3. Let s be (z\/8)\/((-2)\/(-68)). Let q = 29 + s. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70129057*3.\nAnswer: -210387171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*d + 2\/7*d**2 + 0.\nAnswer: 2*d*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -1036.27?\nAnswer: 10.3627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7923 + 54979. What are the prime factors of s?\nAnswer: 2, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.013 - 12. Round i to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 159*o - 18 - 7)*(-5 + 2 + 2).\nAnswer: 159*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -79130, -79130, -79132, -79136?\n\"Answer: -t**2 + 3*t - 79132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 5. Let k be 6\/3 + (-1)\/(-1). Suppose -8*i + 35 = -k*i. What is the units digit of d(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 + 7*b + 7. Let a be d(7). Let n be 6 - (-3)\/(-6)*-2. Calculate the greatest common divisor of n and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 132320 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*h**3*s**2 - 77*h**3*s - 26*h**2 - h*s**2 + 7387143*h wrt h.\nAnswer: -552*h*s**2 - 462*h*s - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine quarters of a milligram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -3, 0, -4, 3\/65 in ascending order.\nAnswer: -4, -3, 0, 3\/65, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 8.6. Let k = j + -4. What is the third biggest value in 5, 3\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 24*q = -o + 22, 9*o + 47 = 4*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 35 = 2*d + 1037, -5*z = 5*d - 2475. What are the prime factors of z?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/(i*i**(4\/3)*i*i))\/(i**(-3\/20)*i*i**(4\/19)) assuming i is positive.\nAnswer: i**(2971\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 4*a**2 + 2*a - 4. Let n be o(4). Suppose 6 - 2 = -2*m, -2*m + 62 = -2*s. Let x = s - -33. Solve x = t + t - n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1, 0.3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -33, -21, -3, 21, 51?\n\"Answer: 3*m**2 - 3*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-116725)\/(-100) - (-2)\/(-8) - 2. Suppose 45*n = u - 265. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2141 (base 5) in base 16?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 4:01 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 295 = 3*p + x, 4*p - 2*x - 202 + 244 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -32. Is h\/66 - (-290)\/22 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 t when four letters picked without replacement from {t: 12, z: 1, h: 3}.\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/20*149\/(-1788). Which is the biggest value? (a) i (b) 0.2 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -23\/5322?\nAnswer: -23\/5322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1157, 1154, 1149, 1142, 1133, 1122, 1109?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 7246 + 7246)*(-4 + 1 + 4)*(0 - 2 + 3) to the form q + o*u and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37530, 75429, 113328, 151227, 189126, 227025?\n\"Answer: 37899*d - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttt. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4406, 25035, 61886, 114953, 184230, 269711, 371390?\n\"Answer: -d**3 + 8117*d**2 - 3715*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9452\/9 + -1055. Let b = -109\/18 + c. What is the common denominator of -2 + 1 - 141\/27 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x**2 + 13*x**2 + 8*x**3)*(0*x + 4*x - 2*x).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/52)\/(9\/3)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 0 (c) 361897\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -29. Let x be (1\/28)\/(f\/(-4)). Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z**3 - 6*z**3 + 36*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-1 + r + 3 - 3)*(r - r**2 - r).\nAnswer: r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - 14) + (-131 - -94) - 66.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, z: 7}. What is prob of picking 2 w?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*u + 170. Solve 0 = -4*y + g - 17, 5*y + u = -3*g - 0*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/((4 - -13) + -11))\/(4\/(-30)). Let j(i) = 16*i - 33. Let r(w) = -4*w + 8. Let l(f) = -2*j(f) - 9*r(f). Calculate l(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1282 = 290. Let w be l\/(-78) - 2\/13. Let s be 4\/2*w\/8. Solve n + 2 = r, -5*r = -3*n - s - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3973456 bigger than -3973457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 - 66*v**2 + 234*v - 28. Determine z(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -7699232?\nAnswer: -135\/7699232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116 - -116. Let w = 4 - 2. Put w, v, -8 in ascending order.\nAnswer: -8, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 7*x**2 - 5*x + 2. Let p be h(-6). Let o be (-100)\/6 - 3*12\/(-54). Let r be (-8)\/o*p\/(-2). Solve -4*n + 5 = r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -9, -38, -195 in descending order.\nAnswer: 2, -5, -9, -38, -195","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Divide 777928 by -388964.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j + j)*(2 + 5 - 1) + (3*j + 0*j - j)*(2 + 0 - 3).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 213 and -586894123695?\nAnswer: 586894123908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1086703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -601*c**2 - 132*c + 132*c.\nAnswer: -601*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w**3 - 2480*w**2 + 5844*w - 1672.\nAnswer: -4*(w - 2)*(w + 209)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/((-2611)\/1865)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:25 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/12*-2*-14. Let d(p) = -2*p + 6 - 3 - n. Calculate d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1094548 >= -1094829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:30 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982429 is divided by 282?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*-311388.5\nAnswer: -311388.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 8735 - 4377 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4164*i - 8 = 8332*i - 4170*i, -53 = 3*d + 7*i for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 3. Let f be s(3). Suppose c + 1 + 19 = 0. Let r = f + c. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 6\/4)*292540\/(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3 + 7579*y**2 + 7576*y - 15156 = 0.\nAnswer: -7578, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -16. Suppose -f = 2, 2*o + l*f - 17 = -3. Let q be (-3)\/o + (-1)\/5. Which is the biggest value? (a) 0.4 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*u + 51 + 91, -p = 3*u - 35. Let x(f) = -f**3 + 28*f**2 - 43*f - 7. What is the units digit of x(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13256)\/12 + (-6)\/(-9). Let n = p - -2301. Suppose -4*r + 1679 + n = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 + 148. What is the tens digit of t\/((-6)\/(-96)*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + -333341311?\nAnswer: -333341334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1976\/494 + (-96)\/22?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 8, f: 5}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10011100100 (base 2) to base 11\nAnswer: -a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 = 8*h - 153 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66300?\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -95*h**2\/2 + 2513. Let j(u) = 2*u**2. Calculate g(j(r)).\nAnswer: -190*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (996\/(-1743))\/(52\/455)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 656 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17418641 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112.3 - 114. Round d to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 43. Let q be y(6). Let r = q + 49. Solve -3*t = -6*t + r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 9*k = 253 - 109 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1236938t in grams?\nAnswer: 123693.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2. Let s(d) be the second derivative of 19*d**3\/6 + 75*d. What is s(l(c))?\nAnswer: -76*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 + -0.4. Let f = -1 - o. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5324914.5?\nAnswer: 5324916.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12 + 0*j**2 - 4*j**2 + 5 wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + q - 10*q**2 + 3*q**2 + 2*q**2.\nAnswer: -9*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/106194 and -133\/7810086.\nAnswer: 85910946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.2398 years in centuries?\nAnswer: 1.672398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 8*u - 106. Let l be k(-9). Suppose 0 = 3*h + l - 1043. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3620923l to millilitres.\nAnswer: 362.0923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = n - 46. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 60\/11227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 5. Let k(n) = 5*n - 1. Let r be k(1). Determine l(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -166\/5 + 1167\/35. What is the smallest value in 4, 0.2, -0.01, g?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*p - 2 = -167*p + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 12 = -5*g, 5*s - g = 12. Let a be 4*s\/16*-1. Let c = 57 - 56.6. Put 0.5, c, a, 2 in increasing order.\nAnswer: a, c, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -52*t**2 + 0*t + 0*t**6 + 0*t**5 + 17\/35*t**7 - 3\/8*t**4 + 0 + 2\/3*t**3. Find the second derivative of r(a) wrt a.\nAnswer: 1224*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*q + 364*q - 505 = -89 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.56 - -25.44. Let s = 0.022 - 20.022. Let k = o + s. Is 0 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((-246)\/21 - (14 + -14))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in 9, 1\/398, 1?\nAnswer: 1\/398","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -63\/2. Let x = 0.5 + -1. Is q < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 38 = 3*r, -2*r + 9*p = -0*r + 2*p - 30 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4261, 8509, 12731, 16915, 21049, 25121?\n\"Answer: -2*k**3 - k**2 + 4265*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262915077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 28 + 7 = -2*t, -1 = k - 2*t. Let o = -907 + 911. Let a(w) = -o*w - 6 + w + 0*w - w + 2*w. What is a(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3871*p**2 + 9*p - 9. Let u be m(1). What is u rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1492 + 1492. Let l = 1097 + -36197\/33. Is l >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 1, y: 1}. Give prob of picking 1 m and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 407 + -743034?\nAnswer: -742526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z + 20, 12 = -4*a + 2*z. Let i = 5423\/828 - 150\/23. Is a <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**5\/60 - v**4\/8 + v**3\/6 + 2*v**2. Let a = -1 - 1. Let k be j(a). Solve k*z - 2*x = z - 4, -3*z + 5*x - 12 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43724531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/5 (b) -0.5 (c) 5 (d) -21 (e) 0.064\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 92353894 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 307, 665, 1277, 2227, 3599, 5477?\nAnswer: 7945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 128*q + 104. Give l(-128).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/4)\/(29\/47676) is divided by 618\/9 + 2\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (333\/74)\/((-63)\/14)*40?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/7 - 4*v**2\/7 - 11*v\/7 - 6\/7 = 0. What is v?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*f + 12, 16*x - 21*x + 3*f - 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfffzczzzzzzzcfzccz. What is prob of sequence cff?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -62, 0.5.\nAnswer: -62, 0.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + u**2 - 1817*u + 10. Calculate i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3398*i**2 - 1984*i**2 - 2067*i**2 + 2901*i + 1479*i wrt i?\nAnswer: -14898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 58 = b, -74*f = 5*b - 72*f - 250. Let j(y) = 88*y. Let k be j(3). Calculate the greatest common divisor of b and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.45 <= 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-27)*1)\/(6\/(-9))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-72) + 74\/(-8). Let n be (-254)\/h + 58\/(-261). Calculate the highest common factor of n and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(136)*1*3 + sqrt(136) + sqrt(136) + sqrt(136))\/(sqrt(8)*-1*-4 - sqrt(8)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -126146*p. Let n(u) = 2076*u**2. What is z(n(b))?\nAnswer: -261879096*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 25516 = -32*i + 30*i, 5*i + 2*r - 63862 = 0. List the prime factors of i.\nAnswer: 2, 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (18 - (-8 + (-3 - -8)) - -5).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-1*(-6)\/(-44)). Let t be (-4)\/22 - (-180)\/b. Let o be 34\/8 + (-2)\/t. Solve o*c = c - 3*d + 12, c - d = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 3. Let k(q) = 4*q**2 - 15. Let n(b) = 6*k(b) + 30*o(b). Let c(i) = -3*i**2. What is n(c(v))?\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*q - 38, -5*b - 4*q = -129 - 36. Solve 0 = -b*d + 33*d - 28 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 1, e: 1, y: 2, n: 11}. What is prob of sequence nyw?\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*d)*(-20*d - 32*d + 12*d)*(-10*d + 12*d + 9*d) to the form b + f*d + i*d**2 + u*d**3 and give u.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 47 = -3*w + d, 3*d = 5*w - 51. Suppose 5*m - 5*v = 25, w + 25 = 5*m - 2*v. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 130 - 5*p + 193 - p**3 + 11*p.\nAnswer: -p**3 + 323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5888 - -10951. List the prime factors of n.\nAnswer: 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r**2 - 14*r + 1. Let p(k) = -5 + k**2 - 27*k + 4 + 28*k. Let g(j) = 3*p(j) + w(j). Let y(x) = -4*x**2 - 4*x - 1. Determine 3*g(n) - 8*y(n).\nAnswer: -4*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 10*r**2 - r - 8. Let y be s(-10). Let k = y - 9. What is the common denominator of (28\/90)\/(k\/140) and -17\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 - 10*h**2 + 3*h + 13. Let c(n) = 2*n**3 + 5*n**2 - 2*n - 7. Let q(f) = -5*c(f) - 3*z(f). Determine q(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*4\/20 + 505\/25. Factor -6\/5 - 21\/5*f**5 - c*f**3 + 48\/5*f**2 + 3\/5*f + 78\/5*f**4.\nAnswer: -3*(f - 1)**4*(7*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2542664 and 1\/10?\nAnswer: 12713320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7594 is divided by 1283.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2 + 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -598, 1, -5, -1, -5.2, -1\/5 in increasing order.\nAnswer: -598, -5.2, -5, -1, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r - 5. Let y be h(4). Let i = -6 + 15. Let f = y - i. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 6:43 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58468 divided by -58468.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-9\/8))\/f)\/f)\/f*f\/(((f\/f**(-8\/5))\/f)\/f)*(f**(-20)\/f)**21 assuming f is positive.\nAnswer: f**(-17749\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20184269 - -20288928.\nAnswer: 104659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1477 = 62*a + 116*a - 1727 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 14*m - 3. Let y be l(7). Let q = 75 - y. Suppose -2*b = -q - 11. Solve -2*u + 6*u + 23 = -3*h, b = 5*h - 5*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 2*i)*(i**3 - i**3 - 2*i**3) + 0*i**3 + 0*i**3 - i**4 + (2*i**4 + 21*i**3 - 21*i**3)*(-154 + 80 + 81).\nAnswer: 17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + (-3 - 0) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/70 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14966.\nAnswer: 2, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 49 = -157. Suppose -8 = 4*v - 64. Let n = v + j. What is the remainder when n is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5794 is divided by 715.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 251.466 nanoseconds?\nAnswer: 0.000000251466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 + 397*s - 3*s**4 - 80 - 36 - 394*s + 2*s**2 to the form k*s**2 + h*s + z*s**4 + b + m*s**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:07 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -205683 (base 9) to base 6\nAnswer: -2342120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 102 = -21*w. What are the prime factors of (-2)\/w + 48840\/99?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 40, 12, -14?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1518 and 0.1.\nAnswer: 1518.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001 + 10101000100?\nAnswer: 10110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2084820 rounded to the nearest ten thousand?\nAnswer: 2080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61380 and 2574?\nAnswer: 797940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -38, -56, -66, -62, -38, 12, 94?\n\"Answer: o**3 - 5*o**2 - 12*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 15 = 2. Suppose -1335 = -22*w + k*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 3}. What is prob of sequence nll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0613 - 4.0613. Sort 2\/7, 0.4, w, 2 in increasing order.\nAnswer: w, 2\/7, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*o + 26, -2*o - 7 + 15 = 0. Let d be 0\/(-2 + 1) + 20. Suppose 4*b + 4 = d. Calculate the remainder when n is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 2*l**2. Let g be f(1). Let r = -2018.4 + 2018. Sort g, r, 3 in decreasing order.\nAnswer: 3, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-3)\/12*41.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -19*r - 1689. Calculate the remainder when 240 is divided by w(-95).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 19 + 1. Let w = 30 - 18. Suppose 2*p - 5*j = 33, -3 = -5*p - j + w. Which is the nearest to 1\/3? (a) t (b) -2\/15 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/9)*a**(-13\/4)*(a\/((a\/((a*a*a*a*a**(-10)*a)\/a))\/a))\/(a*a\/a**12))**(-15) assuming a is positive.\nAnswer: a**(-535\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-15))\/((-12)\/18) - 8. Let n(x) = -x**3 - 7*x**2 - 3*x - 21. Let d be n(y). Solve 12 = 2*h - d*h + 2*w, -2*h - w = -11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 2 = -5*u. Let h = -10 - u. Let p be (h\/(-3))\/((-6)\/(-27)). What is the greatest common divisor of p and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.389*-7.\nAnswer: -9.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55432*o**2 + 37729 wrt o?\nAnswer: 110864*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -279317*u. Let f(m) = -m. Calculate f(g(o)).\nAnswer: 279317*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61510 is divided by 160?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 20*x**2 + 2*x - 1. Let l(j) = 41*j**2 + 5*j - 2. Calculate 2*l(h) - 5*p(h).\nAnswer: -18*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108\/14*14\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2178 divided by 363\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.89973 weeks to minutes.\nAnswer: 402189.2784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.19 (b) 0.5 (c) 0 (d) 123\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**3*o + 3704059*n**3 - 2*n**2*o - 2*n**2 - 2*n*o + 14*n - 2044*o - 2 wrt n.\nAnswer: 18*o + 22224354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354981?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*w - 156*w + 4 = -316*w, -34*j + 35*j = -12*w - 52 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = 9. Let m(q) = -q + 8. Let a be m(i). Suppose 3*p = 2*d - 2*p - 15, -18 = -2*d + a*p. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, q: 8}. Give prob of sequence qq.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 1\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5322 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66, 75, 90, 111, 138?\n\"Answer: 3*n**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from aaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -1792713.\nAnswer: 1792712.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 377317 and 0.7?\nAnswer: 377316.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*n + 160*n - 39852 = -3*c, 5*c = -3*n + 119536. What are the prime factors of n?\nAnswer: 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7247, -14482, -21707, -28922, -36127, -43322, -50507?\n\"Answer: 5*d**2 - 7250*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 + 0.5. What is the closest to -3 in -2, 0, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/(-6)*(204\/(-3230))\/((-1)\/5).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 59 (b) 1\/4 (c) 2 (d) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**5 - l**2 + l - 1. Let n(u) = -5*u**6 + 3*u**5 - 9*u**2 + 3*u - 3. Let b(q) = -n(q) + 3*y(q). What is the third derivative of b(z) wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 5:08 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/99 and 6.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 2. Let p be u(0). Let y be ((-726)\/54 + 11)*((-150)\/33 - -4). Solve -2\/9*i**3 - y*i**p - 2*i + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 28 = -5*c, -2*c + 22 = 5*z - 27. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*n - 2843003 - 3425374 + 902996 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 126. Suppose -x*u = -4*u - 4*y + 2, -u + 11 = 4*y. Solve 2*h + 6 = -z - 1, u*h - 3*z = 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.02 (b) -4 (c) 14.45 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 189907487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(-2\/23))*x\/(x*x\/(x\/x**(-6\/7)*x))*(x**4*x)\/(x\/x**(-7)))\/(((x*x**(-1))\/x)**(-9)*(x*x\/(x**0\/x))**(-26)) assuming x is positive.\nAnswer: x**(10778\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*x - 18*x + 32*x - 17*x - 2*x**2 + 1 to the form c*x**2 + w + v*x and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6580 = -6*h. What is h rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3280215*p**5 - 12*p**3 + 360950907*p.\nAnswer: 65604300*p**3 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbb when three letters picked without replacement from {j: 7, b: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-1) - (-3 + 2*-356)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*l*o**3*p*u + 2*l*o*p**2 + l*o*u + 2*l*u - 2*o**3*p**2*u - 14*o**2*p**2*u - 2*o*p*u wrt p?\nAnswer: 4*l*o - 4*o**3*u - 28*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + ((sqrt(1100) + 2)**2 - sqrt(1100) - sqrt(1100)) + sqrt(1100) + -4)*-5.\nAnswer: 450*sqrt(11) + 16500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139389979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50180 divided by -4.\nAnswer: -12545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -300163.2193 to the nearest one thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000974 to 6 decimal places.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-394 + 8372 - 1727 - 925 + 6698)*(-5*a - a + 4*a).\nAnswer: -24048*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 2046*u**5\/5 - 337*u**2\/2 + 23. Find the second derivative of z(m) wrt m.\nAnswer: 24552*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 22*k**2. Let h(l) = -6*l**2. Determine s(h(w)).\nAnswer: 792*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/9*(7 - 1). Let k(y) = y**3 + 3*y**2 - 3*y. Let f be k(b). Put 4, f, 3 in ascending order.\nAnswer: f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -23. Suppose -9*l = -o*l - 847. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29786802 to the power of 1\/2, to the nearest integer?\nAnswer: 5458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2383700 and 1452.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -375*z + 405. Let j(q) = 11*q - 12. Let g(u) = -135*j(u) - 4*n(u). Let x(l) = -57*l**2. Give x(g(m)).\nAnswer: -12825*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r*r*r*r)\/(r\/((r**1*r)\/r)) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -279 + 670. Suppose a = -v - 5*w + 1026, 0 = 3*v - 2*w - 1854. Suppose v = 13*s - 8*s. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 15. Suppose -4*w = c + 22. Is w at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + 7*d**2 + 1612*d + 6379. Determine y(-4).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(180) - sqrt(180))**2 + -1)*-2 + ((-1*sqrt(300))\/sqrt(5))\/(sqrt(192)*5) + 0.\nAnswer: -sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.046 - -0.246. Let m = 0.01 - 0.41. What is the second smallest value in m, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 7:59 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -23*o + 11. Let s(v) = 15*v - 7. Give -5*f(k) - 8*s(k).\nAnswer: -5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*p + 1 + 2 = 0, -5*l = -3*p - 45. Let k be (3 - 1173)*(-4)\/l. Suppose -k = -5*t + 2*t. What is t rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 6*y + 8. What is the remainder when 76 is divided by u(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 547489.1 and -1779.6.\nAnswer: 545709.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9143 and 73144?\nAnswer: 73144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5\/2 (b) -1 (c) 1\/8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96) + 1*sqrt(96)*2)\/(-5*2*sqrt(2))*-2 + -1)*4)**2.\nAnswer: -384*sqrt(3)\/5 + 7312\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**4 + z**3 + 84*z**2 - 3696 wrt z.\nAnswer: -8*z**3 + 3*z**2 + 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*y, y + 5*c - 4 = -0. Let m be y\/(-2)*-2 - -99. Let r be 3\/(-2 - (-31)\/14). Calculate the greatest common factor of r and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 5\/(-5 + 0). Suppose 3*i - 3 = m - 1, h*m = 2*i - 18. Let f(q) be the first derivative of -q**4\/4 - 2*q**3 - 2*q**2 - 1. Determine f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -221 + 323. Suppose d - 7*d + g = 0. Suppose d = -5*l + 152. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -3 + (-23 - -24) + -17 - -28.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 1 - 33 - 12*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022102222 - -122?\nAnswer: 10022110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1835 or -1834?\nAnswer: -1835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 53*b**2 + 17*b + 200. What are the prime factors of z(-9)?\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 0*d**3 + 2 + 70*d**2 + d**3 - 2*d**3 - 76*d**2. Give b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**2 - 2*h - 21. Let p be k(-2). What is the third derivative of -m**6 - 4*m**2 - 7*m**2 + 6*m**p wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.991 + 0.009. Let w be 2\/((-2)\/(-1 - 36\/(-20))). What is the biggest value in -0.1, f, w, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*k + 92*k = -3*h - 1, -5*h = 3*k - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0*m**3 + 0 - 1\/60*m**5 + 0*m**4 + 0*m + 2*m**2. Let s(c) be the first derivative of 3*c**3 + 19. What is x(s(n))?\nAnswer: -81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4139\/11 + 377. Suppose 0*j + 4*j - 120 = 0. Find the common denominator of u and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32924 or 32927?\nAnswer: 32924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -13. Suppose -s**3 - f*s**3 - 2 + s**3 + 4*s + 2*s**4 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 434661 by 33.\nAnswer: 144887\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7877, 15721, 23555, 31373, 39169?\n\"Answer: -l**3 + l**2 + 7848*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Let r(w) = 76*w - 1. Determine 2*r(f) + 2*y(f).\nAnswer: 156*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 140249093, 280498186, 420747279?\n\"Answer: 140249093*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5499 and 1553331?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1289702, 1290259, 1290818, 1291379?\nAnswer: 1291942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/83 in 0.2, 16, -1\/4, -4, -89?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 80*j**2 + 75*j - 15. Let z(v) = -27*v**2 - 25*v + 5. Let g(i) = i + 6. Let x be g(-3). Let f(p) = x*a(p) + 10*z(p). Factor f(u).\nAnswer: -5*(u + 1)*(6*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/25)\/((-182)\/(-420))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 6) in base 3?\nAnswer: 101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**3 + 5*k**2 - 2*k - 4. Let h be n(2). Put -2, 0, h in descending order.\nAnswer: 0, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/37)\/t*t\/t**(-5\/4)*t)**(-3\/19)*(t**(4\/5)*t**(-2\/11))\/((t\/(t*t**(-1\/4)))\/((((t**8\/t)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(310979\/77330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*k - 55 - 2*k**2 + 55 to the form y*k + z*k**2 + f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 0 - 1\/2*p**3 - 3\/2*p**2 + 1\/6*p**4 - 28*p. Suppose 3*g - 6*g + 9 = 0. Give x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.550399 to 2 dps.\nAnswer: 29.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -7616211?\nAnswer: -7616214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4116*v + 2*j = -4117*v + 11446, 0 = v + 3*j - 11450. Does 266 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d - 1243*d + 306*d to the form w + a*d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*y**6 + y**2 - 5*y**2 - 4*y**2 + 4*y**2 wrt y?\nAnswer: 1200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(1\/51)\/(n\/n**24)**(-26\/9) assuming n is positive.\nAnswer: n**(-50824\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 23 - 89*t + 40 - t**3 - 11 as z*t**3 + u*t**2 + r*t + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92793\/5 - 18220. Let p = d - 18813\/55. Let t = 746 + -51476\/69. Find the common denominator of p and t.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*k - 269 = -5*i - 140*k, 5*i - 203 + 42 = -4*k for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 654 - 649 - (-2 - (-1 + -12) - (1 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28078 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - j + 2*j - 4, 14 = 3*f - j. Suppose c + 0*c - 7 = 0. Suppose f*x = c - 1. What is the remainder when 4 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m + 20 = 70. Suppose 0 = q + v + 2*v - 12, -4*q + 2*v + 6 = 0. Suppose 5*t + 4*h - 658 = 0, -m*t - q*h = -89 - 177. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -26. Let x be 2 - 2*(-2)\/4. Suppose -4*j = 2*k - 12, -5*j + k + x*k + 15 = 0. What is the lowest common multiple of r and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 756*a**2 + 12672*a + 51456.\nAnswer: -3*(a - 268)*(a + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-2)\/8)\/(47\/(-564)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1487, 2959, 4435, 5915?\nAnswer: 7399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 4:42 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11153)\/(-3) + 26\/(-39) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94*p**2 - 206?\nAnswer: -188*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + 2*x + (4*x - 3*x - 5*x)*(1 + 2 - 5) + x + 2*x - x)*(5*x**2 - 5*x**2 + x**2) + 40*x**3 + 28*x**3 + 0*x**3.\nAnswer: 77*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.840393 rounded to 1 decimal place?\nAnswer: -114.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24007?\nAnswer: 24007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, r: 1, p: 2, v: 4, t: 2, z: 2}. What is prob of sequence rv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2 - 603\/(-6). Suppose 0*d + g = d. Is 32 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18973692 is divided by 20646.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 545 = -2*g - g, -4*m + 177 = -g. Let l = g + 1269\/7. Let 2\/7*d**2 - l*d**3 - 2\/7*d**4 + 2\/7*d + 0 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393 less than or equal to 1375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38\/(-10) - 1\/5. Let i = z + 4. Suppose 3*x - 29 + 11 = i. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1988841413?\nAnswer: 13, 229, 668069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6075, -12152, -18229, -24306, -30383, -36460?\nAnswer: -42537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(4*3\/12). Suppose -5*r - 35 = 5*t, -5*r + 3*r + t - 2 = f. Calculate the remainder when (-12)\/r - (-30 + 3) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8389143407?\nAnswer: 8389143407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2153*i - 9391*i - 1340*i - 7936*i.\nAnswer: -16514*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1201122?\nAnswer: 1201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164 - -267. Suppose 2*m + 224 = -x - 3*x, -m - u = 5*x. Is -118 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352850622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -857 - -1501. What is the highest common divisor of s and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44 + (2\/2 - 0))*1. Let w = j - -48. Suppose 5 = w*y, -5*a + 462 = 4*y - 252. List the prime factors of a.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561572 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 82, 133, 184?\n\"Answer: 51*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-4*(-45)\/(-216)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38815 is divided by 264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14965475 + 10748.\nAnswer: 10747.85034525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**3 + 4*v**2 - v + 5. Let l(r) = -4*r**3 + 4*r**2 - r + 4. Let z(k) = 6*l(k) - 5*n(k). Let d = 25 - 29. List the prime factors of z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*f - 345*f = 980 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p = -5*q + 185, 0 = -4*q - p + 165. Let z = -21 + q. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-5814)\/(-2584))\/(((-54)\/4)\/(-3))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -178 and -180 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024956149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5 + 5673*v**4 - 56466*v**3 + 67500*v**2 + 406296*v = 0 for v.\nAnswer: -2, 0, 6, 1881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1677586.87\nAnswer: -6710347.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*r + 9, -2*i + 6 = -3*r - r. Solve r = -8*c + 12*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 0, 14, -3 in decreasing order.\nAnswer: 14, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4486.2782 rounded to the nearest integer?\nAnswer: -4486","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45027965 is divided by 298198.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 2. Let s be v(9). Solve 4*j + 12 = -4*d, s*j - 3*j = 4*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244 divided by -15.\nAnswer: -244\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 6*p**3 + 0*p**2 + (p**2 + 6*p**2 - 5*p**2)*(p - 2*p + 4*p))*(-p**2 + 0*p**2 + 0*p**2).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151078934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*11443282.\nAnswer: -5721641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 2*g + 2*g + (-77 + g + 77)*(-2 - 3 + 2) to i + q*g and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-16)*(n*n\/((n*n**1)\/n))**6)**(-27) assuming n is positive.\nAnswer: n**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 280 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 5*t - 10. Let j(i) = -6*i - 11. Let d be j(-6). Let c = d - t. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(80)*2 + (sqrt(30) + sqrt(300)\/(sqrt(20)\/sqrt(2)))\/sqrt(6) - (4 + 1 + sqrt(405) - (1 + sqrt(405) + 3))*1)**2.\nAnswer: 12*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27123 = -7*c - 6*c + 18351. List the prime factors of c.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 5. Let x = -64 - -63. Let u be b(x). Differentiate -2*c**u - 35 - 18*c**3 + 42 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 0*d**3 + 0*d**3 + (-8030 + 151*d**2 + 8030)*(0*d**2 + 0*d**2 + 2*d**2).\nAnswer: 298*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = -5*a - 5*q - 10, 0 = -2*a - 387*q + 390*q + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40201 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7638.7 and -5.\nAnswer: -38193.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/7 + 7725*y\/7 - 31236.\nAnswer: 3*(y - 28)*(y + 2603)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 37. Let g(c) = -18*c**2 + c + 14. Determine g(s(m)).\nAnswer: -72*m**4 + 2666*m**2 - 24665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 10 = -7*n. Calculate the lowest common multiple of n and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -2. Let f(m) = m**2 - 6*m - 4. Let p be f(7). Put 1, x, p in ascending order.\nAnswer: x, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 1 + 0 + 5. Let u = -63 + 66. Let o(h) = 2*h - 5. Let i(l) = u*o(l) + 2*q(l). Differentiate i(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159\/477 - (4505\/(-3) - 2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.28+-23\nAnswer: -23.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8098763 is divided by 75689.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 i, and 1 l when four letters picked without replacement from cxcxlxxxxxecxxixxxix.\nAnswer: 52\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/((-237)\/246 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -147*48\/(-560) + 8\/20. Solve 0 = -x + w*k - 12*k - 2, 0 = 5*x + 4*k - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23434313 a multiple of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -617*x**2*y**2 + 2*x**2*y - 18*x**2 + 3*x*y**3 - 3*x*y**2 + 275*y wrt y.\nAnswer: -1234*x**2 + 18*x*y - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 34. Let o be b(9). Let s(t) = 2*t + 6. Let m be s(-4). Is m greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12712255 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -309 + 300. Is -5 - 4515\/(-28) - d\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*j + 30 = -112*j + 220*j. Let d = -0.04 + -6.16. Let f = d + 6. What is the closest to f in j, -3\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*p - 9, -3*s + p = -2*p. Suppose -s - 4 = t - 2*d, 0 = 5*d - 20. Let m(j) = -62 + 7*j**3 + 2*j + 33 + 28 - 2*j**2. Give m(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*c - 51*c + 2*f = -6, 4*f + 71 = 79 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(-91) - (-314)\/(-7). Let q be i\/(-24) + (-1)\/(-8). Find the first derivative of -10*z**q - 13 - z + z + z**2 wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**5\/10 - v**3 - 2*v**2 + 51*v + 154. Let u(t) be the first derivative of d(t). Factor u(z).\nAnswer: 2*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 74\/14 - (-4)\/(-14). Suppose -5 = -n*o, a - 3*o = -2*o + 1. Let r(c) = -3*c + a*c - 3*c. Let w(l) = l**2. Give w(r(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3703 and 2453801.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-24) + 6\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -2598, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14875198 and 15340.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 k when three letters picked without replacement from {u: 5, r: 1, y: 7, k: 2, m: 3, p: 2}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 + 2*s**3 + 31565*s - 4*s**3 - 31565*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.91 + -1.8784. What is p rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43065.60510059 + 43063.8051. Let d = 1.8 + m. What is d rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-7)\/(266\/(-4))). Let j = d + 39. Solve -2*a = 2*a - 4*k - 8, k - j = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 2*q + 7. Let d be b(-5). Let m = 19 + d. Calculate the greatest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 14) to base 7\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*n + 1896 = v + 276*n, 3*v + 4*n - 5633 = 0. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*t + 5*t. Suppose x - 127 + 5 = -r, 0 = -5*r + t*x + 610. Suppose l = -l + r. Is 29 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 23, 4037?\nAnswer: 4037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106*l*o**2*s + 7*l*o**2 + 9*l + 2817*o**2*s + 18151*o**2 - 3*s wrt s.\nAnswer: -106*l*o**2 + 2817*o**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/28)\/(-4) + (-7)\/(392\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 2*p**2 - 2*p - p**3 + 2*p**3 + 0*p**3 as d*p**2 + s*p**3 + r + l*p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 933 + 9?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0*s**(-8)\/s*s\/(s*s*s\/s**(-1))*s*s\/s**(-8) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -322030323 (base 4) to base 12\nAnswer: -b5b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 25. Let h be (2 - 2)\/(2 + i). Suppose h = 5*b - 11 - 4. Solve 0 = -g - 6*u + 3*u, 2*g + 3 = -b*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 271?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 0*o = -91. Suppose 3*i - o = -2*m, 3*m + 5*i - 9 = 10. Suppose 8 = -v + 2*v. What is the least common multiple of m and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 - (-5 - (-20 + 5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -322.738 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*h + 7, -32*h + 33*h + 4*q - 21 = 0. Sort h, 15, 3, 23 in ascending order.\nAnswer: 3, h, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -13. Let r(t) = 7*t + 2. Let u(z) = 1. Let m(s) be the first derivative of 11*s**2 + 18*s + 12. Let h(a) = -m(a) + 12*u(a). Give v*h(k) - 16*r(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 74254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37977547.39869976 + 37977567. Let j = z + -19.5913. Let m = 0.01 - j. What is m rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*u, -3*f = 3*u + 9 - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -36.1?\nAnswer: -36.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -894414, -3577665, -8049750, -14310669, -22360422?\n\"Answer: -894417*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**7\/840 + j**6\/360 - j**5\/30 - j**4\/8 + 2*j**3\/3 + 3*j**2. Let o(u) be the first derivative of l(u). Give o(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644518727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1871 take away 64.29?\nAnswer: -1935.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2451 (base 9) to base 3\nAnswer: -2111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/78 and -59\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1182 divided by -394.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6654777 by 47197.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 1:33 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(7\/(63\/(-6))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -748\/31, -1\/7, 0.4.\nAnswer: -748\/31, -1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 344726897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -31.\nAnswer: -31, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 14 = 18*r - 21*r, 0 = 4*k + 4*r + 48. Let c be 3 - 0\/((-2)\/2). Calculate the common denominator of 45\/2 and k*20\/64 + c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*-3*(-16)\/154*(-56)\/224.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 834, 830, 826, 822, 818?\n\"Answer: -4*g + 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1217345546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 21. Let w(k) = -28*k**3 + k**2. What is the units digit of w(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 19 - (-3 + 13 - (11 - (-10 - -2)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 101 and -37.09.\nAnswer: -3746.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.118 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57590621 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*119\/850*-5*2\/(-7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02080695 to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5090.517l to millilitres.\nAnswer: 5090517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-14)\/56*28.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5) + 0 - sqrt(5)) + 6*sqrt(10)\/sqrt(2) + (sqrt(20)\/((sqrt(100)\/sqrt(5) + sqrt(20))\/sqrt(5)))**2.\nAnswer: -11\/4 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 980900407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 93*-0.08\nAnswer: -7.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*t - 4, 2*q + 10 = t - 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 13 = -5*f, 5*f - 283 = a. Is -260 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9\/y)\/(y*y**(-12)))\/(((y**(1\/3)*y)\/y)\/y)**32 assuming y is positive.\nAnswer: y**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127559444.\nAnswer: 2, 1031, 30931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 divided by -8274.\nAnswer: 179\/8274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 - (2 + (1 - 3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165669.262 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b*h**3*t - 1198*b*h**3 + 2*h**3*t + 242*h**2*t + 2 wrt b?\nAnswer: -3*h**3*t - 1198*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 15*w - 6*w)*(-85*w - 12*w**3 + 85*w).\nAnswer: -180*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(-2*sqrt(5) + sqrt(5)) - (sqrt(891) + 1).\nAnswer: -10*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i. Let u be ((-4)\/24)\/(3\/24). Which is greater: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447180213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 93087894 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:04 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17179*t**2 + 71543*t + 1 wrt t?\nAnswer: 34358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(1 + (-2 - 0)). Suppose w*b + 1 = -2*m + 10, -4*b = -2*m + 36. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1*j)\/j)**(7\/6))**(-23)*(j**2*j\/(j**(-1\/9)\/j))**(6\/11) assuming j is positive.\nAnswer: j**(-541\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -297.33438.\nAnswer: -302.33438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1330.7 + -1271. Let n = m - -7.3. Let w = n + -67.0000061. What is w rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449333?\nAnswer: 449333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 12:01 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -12 - 11*w**2 + 4 + w**3 - 12*w**2 + 9*w**2 + 25*w. Let n be k(12). What is the third derivative of -24*d**4 + 12*d**n + 8*d**2 - 10*d**2 wrt d?\nAnswer: -288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -23*h + 4. Let r be o(-4). Let a = r + -59. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856*m + 719*m + 8044 + 82254 + 1052 = 0 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 495 by -1.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1 + 5)*6 - (-2 + (sqrt(363)*-1)**2)) + 5.\nAnswer: -332 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -134, -194, -234, -248, -230, -174?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 32*d**2 + 12*d - 3. What is the lowest common multiple of m(16) and 93?\nAnswer: 5859","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/205 - 10247\/3280. What is the common denominator of m and -131\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 7\/3)*6. Let l be x\/6 - 35\/15. Suppose -i = -4 + 8. Sort 2, i, l in increasing order.\nAnswer: i, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433264850?\nAnswer: 2, 3, 5, 31, 127, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 36143.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*m**2*n**3 - 2*m**2*v - 25945*m*n**3*v - n**3*v - 87749*n**3 wrt v?\nAnswer: -2*m**2 - 25945*m*n**3 - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 22*h**2 - 17*h - 187. Let o be l(-11). Solve 2*n + 36 - 38 = o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -148.4, 4, 2, 0.7, -2\/3117?\nAnswer: -2\/3117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 1, j: 1, r: 1, p: 1}. Give prob of sequence jrz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/18 <= -11443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(((-150)\/620)\/(-15)))\/(42\/(-189)*-9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -665, -1330, -1995, -2660?\nAnswer: -3325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1998022156 and 5876?\nAnswer: 5876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.98 rounded to one dp?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 - 2490455*u - 2490435*u + 4980922*u.\nAnswer: -u**3 + 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 35.1 and 3\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1017*w = 888*w - 1884*w + 210 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/25728669?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 h when three letters picked without replacement from {h: 5, j: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -597 (base 11) to base 6\nAnswer: -3143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 30. Suppose z*y = y + 6. Let j(g) = -g + 5. Let w be j(6). Which is the second biggest value? (a) y (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-40))\/((-24)\/170) - 2. Which is the nearest to -1? (a) 11 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8838, 8582, 8158, 7566?\nAnswer: 6806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2. Let o(v) = 743*v**2 + 15. Determine o(b(k)).\nAnswer: 36407*k**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {u: 4, g: 3, q: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. Suppose -f*a = -1 - 8, -3*a - 75 = -3*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: Let w(r) be the second derivative of 0*r**2 - 1\/96*r**4 - 3 + 1\/336*r**7 + 1\/240*r**6 + 1\/24*r**3 - 5*r - 3\/160*r**5. Determine u, given that w(u) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232102 (base 4) to base 10\nAnswer: 2962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.113982 times -2.2\nAnswer: 0.2507604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1866356 or -1866351?\nAnswer: -1866351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a minute in seconds?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/50)\/(18*28\/3906) and -69\/190.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10579712 and 129\/22880.\nAnswer: 52898560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/(-59))\/((3\/6)\/1)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 25 + 8*q**2)*(-3 - 4 + 5)*(q - q - q).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, v: 19}. Give prob of sequence vwv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2228 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 4)*(-15 - -10). Solve -7*l - t = -12*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 11*l + 64 = 13*l. Let o(j) be the first derivative of 7*j**2\/2 + 59*j + 1. What is the units digit of o(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/11 + 2054*y**4\/11 - 153885*y**3\/11 - 480168*y**2\/11 = 0. Calculate y.\nAnswer: -3, 0, 81, 1976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-2\/7)\/k))**(-7\/9)\/(k**1)**(-39))\/((k*k*k**(-5)*k*k*k)\/k*k**0*k*k*k*k*k**(1\/2)*k**(-1)\/k) assuming k is positive.\nAnswer: k**(643\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104810 rounded to the nearest one thousand?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-63)*(-3)\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Let y = 7 - x. Let o be 2\/(14\/(y - 5)). What is the second smallest value in -5, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 - -249. Let c = t + -71.5. Let g = c + -20. Round g to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 + 1157*h**3 - 1148*h**3 + 80)*(-3 - 2 + 6).\nAnswer: 9*h**3 + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 23*v. Let n be -1*1 - (-23)\/(552\/28). Let b(r) be the second derivative of 0*r**3 + n*r**4 + 0*r**2 + 4*r + 0. Give b(z(w)).\nAnswer: 1058*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3 + 3*h**2 + 12*h + 11 + h**2 - 27 + 2*h**2 = 0 for h.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 11 = 23 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 25*n + 5 + 23*n - 47*n. Let z(a) = 1. Calculate s(t) - 3*z(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f = -2*f + 14654. Is f < 430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v - 65. What is the highest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -363\/141245?\nAnswer: -363\/141245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 589198180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:27 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**2 - h + 6*h**2 + 3*h**2 + h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) 0 (b) 0.15 (c) 10 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62369 is divided by 107?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.58956316 rounded to three dps?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 1. Let l(c) = 3*c + 3. Let f(a) = -a**3 - a**2 - 2*a - 1. Let w be f(-1). Calculate w*l(p) - y(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*r - 13 = 0, 2*w - 3*w + 3*r = -7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2464*l + 118048 = 2472*l. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -5)**2*-6.\nAnswer: -3552 + 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/5)\/s**(-8\/11) assuming s is positive.\nAnswer: s**(29\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11388 - 11387. Solve 12 + 13 = 5*j, j = -x + k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.148324 centuries to months.\nAnswer: 4977.9888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -75938.\nAnswer: -21\/75938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**3 + 32*v**2 - 16*v + 20. Let k(p) = 22*p**3 - 129*p**2 + 65*p - 80. Let r(m) = -9*b(m) - 2*k(m). What is the hundreds digit of r(31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 10 + 3*c - 11*c**4 - 2*c + 4 as x + b*c**3 + j*c + v*c**4 + m*c**2 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 17180 to the nearest one hundred.\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*j = 2*j + 39, -4*k + 90 = 2*j. What are the prime factors of k\/(-66)*(-588 + 0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 49*k**3 - 2 + 3*k - 2*k.\nAnswer: -49*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d + 4*c = 246, -2*d = -c - 537. Suppose 3*i - q - 192 = 0, 4*i + 3*q = q + d. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 281643 and 112173?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/43)\/(w\/w**(6\/13)) assuming w is positive.\nAnswer: w**(-327\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -343, -342, -341, -340?\n\"Answer: v - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.4, 0, -0.2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6 + 7*s**3 + 6*s + s**3 - 7*s**2 + 6*s**3 + s**2. Let v = 384 - 390. Let r(f) = -14*f**3 + 5*f**2 - 5*f - 5. Determine v*r(l) - 5*x(l).\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 9*s - 4. Let u(f) = -f**3 + 9*f**2 - 8*f + 9. Let q be u(8). Let l be v(q). Sort 9, 0, 3, l in ascending order.\nAnswer: l, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.923 - 0.223. Let m = d + -10. What is the nearest to 0 in m, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -18*h**2 + 1. Let f be 3\/2*(-8)\/12. Calculate x(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*w - 3*x = -6, x + 8 = 3*w. Find the second derivative of 3*n**w - 3*n**3 - 9*n + 26*n + 11*n**4 wrt n.\nAnswer: 132*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/60 - (8\/3)\/2. Let g = 3.93 + 0.07. Put i, -0.2, g in increasing order.\nAnswer: i, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 426.99999729 + -427. What is u rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5839113 and -5.\nAnswer: -5839118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 2, v: 4}. Give prob of sequence vry.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**4*i*q + a**4 - 133*a**2*i + 6*a*i*q + 3*a - 2*i*q + 138*q wrt a?\nAnswer: -72*a**2*i*q + 12*a**2 - 266*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (354\/5)\/((-165)\/(-25) + -7). Is t >= -181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1573*w**2 + 379*w**2 - 339 - 339 + 678 to x*w**2 + s + p*w and give x.\nAnswer: 1952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-4*(-1)\/12)\/(-1). Put -55, n, 4 in increasing order.\nAnswer: -55, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from temkmjkj. Give prob of sequence jtk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*y + 27566, 3*y - 13517 = -5*x + 20946. Let j = x + -1379. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 451*k + 4569. Give s(-10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/22 (b) -0.4 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98.200847 + -97.7608. Let r = 24.56 + -25. Let o = f + r. Round o to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 x when three letters picked without replacement from fxxdxxfffxxxfddfd.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*3\/(-6))\/((140\/80)\/7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 48473758.\nAnswer: 48473758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.031? (a) -590 (b) -12\/13 (c) -2 (d) 0 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8673\/11564*(219\/(-225) - -1*1).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 14 = 5. Let a(y) = 9*y + 2. Give a(h).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12119 - 12162.751. Round w to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (9 - ((7 - 11) + 3) - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 188455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/(88\/(-154))*(-4)\/78\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 224093 rounded to the nearest 1000?\nAnswer: 224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahaazooaak. Give prob of picking 1 h and 1 o.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 20049 and 160399\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1103401\/45703 + (-12 - 1)\/1)*(-28)\/6\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, -419, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 8*z**2 + 4*z - 17. Let k be x(-7). Suppose -909 = -4*p - 3*s, 11*p + 673 = 14*p + k*s. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*f - 9 = -8*f, -3*s = -5*f + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/((x**(-11)*x)\/x))\/(x**(-5\/3))**(2\/155) assuming x is positive.\nAnswer: x**(746\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.1. Let u = z - 0.1. Let j = 496\/7 + -71. Which is the closest to -1? (a) j (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -8 - 64\/34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 4, 891, -4 in increasing order.\nAnswer: -39, -4, 4, 891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 76189140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.014, -2\/11, -2.2504 in descending order.\nAnswer: 7, -0.014, -2\/11, -2.2504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c**2 + c + 4*c - 19999*c**3 + 6*c**2. Let d be t(-5). Round d to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -66.9. Let r = g - 3.90000113. Round r to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 30 = -22*y. Let z(u) = -53*u + 37. Let q be z(y). List the prime factors of ((-1)\/5)\/((-1)\/q).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 2*j. Let v(m) be the first derivative of 0*m + 6 - 1\/2*m**2. Calculate 2*v(a) - y(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3903 a factor of 186568302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 42*y**2 - 115*y - 68. Does 6 divide j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 37.6. What is v rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771521?\nAnswer: 53, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0245571 rounded to five dps?\nAnswer: 0.02456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 6 + 4*w - 8*w**2 - 5 + 0 as u*w + z + d*w**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*o + 13 = 0, -2*o + 30 = 5*f + 3*o. Is f*(6\/(-3) + 37) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*w + 2*w - 16 = 0, 8 = -2*w. Solve -b + 5 = r*m, 4*m + 4 = b - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2360075414 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f**2 + 8*f. Let d(k) = -849*k**2. Give q(d(w)).\nAnswer: 8649612*w**4 - 6792*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 1\/2*k**2 + 2 + 0*k. Let z(u) = -8*u. Calculate 10*c(v) + z(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/2743803 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(80) + 3*sqrt(80))*-1)*-4 + -2 + 3*(sqrt(80) + -3 + sqrt(80) - sqrt(80)) + -5)**2.\nAnswer: -3040*sqrt(5) + 29280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/13330 and -41\/15996.\nAnswer: 79980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 709.3641 hours in nanoseconds?\nAnswer: 2553710760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*z - 2546 = 320*z - 31*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 1. Suppose 0 = -k - 3*y + 13, -y = k + y - 9. Let p(j) = -17*j - 30. Let q(u) = k*p(u) - 4*n(u). Differentiate q(c) wrt c.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 120\/(-40) + (-1)\/(1\/(-2)). Which is smaller: x or 1\/207?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 + 7*w**2 + 8*w - 2. Let q(x) = -x**3 + x**2 - x - 1. Let c be q(2). Is j(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let w be p(4). Let m(v) = -6*v + 5. Let r(i) = 77*i - 26*i - 38*i - 5 - 6. Let u = 359 - 368. Determine u*m(c) + w*r(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = u + 3*p - 40, -2 = 2*p. Suppose 3*d - 12 = -0*d. Suppose k = d*v + u, 0*k + 3*k + 4*v = 175. Is k 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 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249 by 83.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8*w + 99 = 0. Let g = -17 - w. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 855, 854, 843, 816, 767, 690, 579?\n\"Answer: -b**3 + b**2 + 3*b + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/6 - 101\/30. Suppose -5*c - 7 = -2*q + 16, -6 = 2*c - 4*q. Let j = -1.21524 + 1.11524. Put j, x, -11, c in increasing order.\nAnswer: -11, c, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -81?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -273, -7, -4, 4, -1, 3, -2.\nAnswer: -273, -7, -4, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (280\/105)\/(1010\/1008 - 1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1634000 and 17888?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*s - 31*s - 16*s)*(0*s + 2*s**2 + 0*s).\nAnswer: -196*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1752*u - 41 + 41 + 2933*u to the form z*u + x and give z.\nAnswer: 1181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*-3*(-10)\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -2 - -2) + 4 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11016262 (base 7) to base 6\nAnswer: -32134401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.026617+2.4\nAnswer: 2.426617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 46 + q**2 + 12 + 17.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from maaakaaakkmkakaak.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2\/4 - 327168*s + 130867.\nAnswer: (s - 261734)*(5*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*s + 15 + 165 = 0, -3*s = 0. Let j = d + -57. Solve j = -3*m + 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(27)\/sqrt(9)) - (-4*sqrt(152) - sqrt(152))\/sqrt(8)) + (sqrt(1900) - (sqrt(1900) + (sqrt(1900) - (sqrt(1900) + -1))) - -3*sqrt(931))**2.\nAnswer: -36*sqrt(19) + 8380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1081325 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2901, 9133, -5, 2 in ascending order.\nAnswer: -5, 2, 2901, 9133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*m + 11 + 7 = 0, 3*g + 6 = -3*m. Suppose 0 = -5*n + n + 5*r + 39, g*r = -2*n + 6. Solve 0 = n*p - 2*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9146 - -8243.0854. Let c = -8208.53 + i. Let q = -3.83 - c. Round q to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t - 3*t + t)*(12 - 7 - 2) + t + 5*t - 4*t)*(-25*t**3 - 23*t**3 - 24*t**3).\nAnswer: 288*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcrkyrzcccccrzz. What is prob of picking 1 k, 2 r, and 1 c?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80 (base 13) to base 5.\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuufoyoucocou. What is prob of sequence cuof?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 81\/4 of a day?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-2\/19))\/h)\/h**(-1\/5))\/(h**(-1))**(2\/49) assuming h is positive.\nAnswer: h**(1611\/4655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-12))\/((-4)\/16). Suppose u*w - 88 = w. What is the greatest common divisor of w and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/(-28) + (-159698)\/(-3416).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -1 + sqrt(720))*-3)**2 + 0 + -1 + 4 + (sqrt(720)*-1)**2 + sqrt(720).\nAnswer: -420*sqrt(5) + 26652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + 18. Let k(i) be the third derivative of -19*i**5\/60 + 95*i**2 - 9*i. Determine s(k(g)).\nAnswer: 1083*g**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*f - 11, 0 = -3*f + c - 4*c + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v**2 + 13*v - 13. Let y(q) = 4*q**2 - 3*q + 3. Suppose 0 = -0*n + 3*n - 18. Suppose -195 = -12*l + 117. What is l*y(u) + n*t(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o**3 - 2*o**2 - o - 2. Let h be r(2). Let 32*a**4 - 124*a + 54*a**3 + h*a**2 + 70*a - 56*a**4 - 33*a**4 - 3 = 0. Calculate a.\nAnswer: -1, -1\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u - 243 = u + 199 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*f**5 + 78*f**5 - 30*f**5 + (4*f**2 - f**2 - 2*f**2)*(1 - 1 - f**3) + 3*f**5 - 5*f**5 + f**5 + (-107 - 74 + 207)*(2*f**2 + f**5 - 2*f**2).\nAnswer: 47*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 - 114.472. Let n = -0.077 + -0.021. Let i = n + v. What is i rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 491202 = 2*m, 5*g + 83407 = -m - 162182. Let p = 8470 - m. Suppose -6*k + p = -51931. What is k rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/57)\/((100\/9)\/5).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*l - 50 = 0, 5 = -3*r + 5*l - 5. Suppose 0 = 6*v - r*v. Suppose -3*a + 9 = v, 2*a + 553 = 4*d + a. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -28. Suppose -4*j + 323 - 243 = r. What is the remainder when 59 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 38*p + 2)*(-3*p**2 + 4*p**2 - 4*p**2) as d*p**3 + c*p + j*p**2 + q and give d.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121122102000222 - 10?\nAnswer: 2121122102000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10355 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = k + 4*v - 11, 2*k + 23 = 3*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + -8. Let c = 56 + y. Suppose c*b - 1540 = -5*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19298025 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 9*j + 5*j)*(6*j - j - 2*j).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2640 + 2660. Solve 4*l - a = 0, 15*h = 17*h + 3*l - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -838*i - 7*i**3 + 838*i.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -406760, -813522, -1220286, -1627052?\n\"Answer: -f**2 - 406759*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -8. Let r = -2589 - -2611. What is the third biggest value in r, 2, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 + 8 = 0. Suppose -6*t + d*t + 20 = 0. Suppose -27 = -t*g - 12. Solve 4*r = 4*q - 13 - 15, 3*r + g = -3*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 408\/(-306)*-2*6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.02613\nAnswer: 0.13065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 112*q**2 + 6*q + 2. Let j(v) = -2*v**3 + 106*v**2 + 5*v + 2. Determine 2*i(c) - 3*j(c).\nAnswer: 2*c**3 - 94*c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - h + 9 + 17.\nAnswer: -h + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 + f - 10. Let i(o) = -14*o**2 + 3*o - 20. Let c(p) = 5*p**2 - p + 7. Let k(q) = -17*c(q) - 6*i(q). Let v(s) = -h(s) - 6*k(s). Give v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -655*m - 174*m + 112*m - 996*m.\nAnswer: -1713*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*v**2 + 454*c**3*v - c**3 + 7*c**2*v + 76*c*v**2 wrt c?\nAnswer: -6*v**2 + 2724*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r + 4*a = 4, -3*r + 4 = 4*a. Suppose -3*z - 2*n + 0*n + 53 = r, 3*z - 4*n = 83. Calculate the highest common divisor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 33. Let f be m(14). Suppose 4*s - 5*x = -18, s + x = f*s + 10. Let g be (-4 + 2)*4\/s. Solve g*j + 0 = 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 10*q**2 + 2*q - 14. Let j be t(10). Is (4\/j)\/(4\/36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22b (base 13) to base 11\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3703 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 16*a + 1. Let y(l) = -4*l**2 + 18*l - 1. Let n(z) = 5*o(z) - 4*y(z). Determine n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 9 = 3*u - 26, 5*u = -3*t + 21. Suppose 8 = 5*v - t. Solve -3*k + v = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2000 and 39\/4000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/24*(-2)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 66*j - 264. Is u(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189 - -315. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33546, -33591, -33634, -33675, -33714, -33751, -33786?\n\"Answer: a**2 - 48*a - 33499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/6)\/((-2)\/(-444)). Let h(k) = 130*k + 39. Let a be h(2). Suppose n - 6*n + v = 3*m, -5*n - 2*m = -a. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 27. Let d(u) = 2*u - 26. Give -4*d(f) + 3*m(f).\nAnswer: -2*f + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -484 + 2715. Let j(p) = -h + 2231 - p. Let b(s) = 10*s + 1 - 1. Give j(b(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + -100000111011000011110?\nAnswer: -100000111011000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 110*d**3 + 114*d**2 - 5*d - 6. Determine a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - y + 13 - 24, -4*y + 8 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3715 + -35604775?\nAnswer: -35601060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - 59*z**2 - 39*z + 47. Is x(-29) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = -19*s - 5435. Suppose 5*i - l + s = 7*i, -2*i - 3*l + 1077 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -n - 4*n. Let i be (-9)\/6*(0 - 2). What is the derivative of 3*q**3 + n*q**i - 5*q**3 + 1 wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1f?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 53?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14) - 462\/1617)\/1 + 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*2)\/2 + (-5111)\/1614.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 - 135341*b**2\/4 + 4602461*b\/4 - 39123375\/4.\nAnswer: -(b - 17)**2*(b + 135375)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 27*y**2 + 469*y - 31. Calculate h(39).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9545.0170128 + -9487.017. Let v = -58 + i. Round v to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 7:17 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5 + (-360)\/(-900)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 5*x**2 - 2*x + 11. Let i be y(5). Let q be i\/(-1) + 1 + 1. Let j be (12\/8 - 7)*-2. Solve q = -5*m + j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**2 - 1. Let h be x(-1). Factor -3*t**4 + 2*t**4 + h*t**4.\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 5:14 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -13*f**2 - 1. Suppose 0 = 14*t - 121687 - 112701. Let n(q) = 0 + 16740*q - t*q + 0. Determine n(k(p)).\nAnswer: 52*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -155*q + q**2 + 1\/36*q**8 - 29\/18*q**4 + 4\/21*q**7 - 8\/15*q**5 + 0 - 4\/3*q**3 + 11\/45*q**6. Solve n(i) = 0 for i.\nAnswer: -3, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let q = 6.1 - 6.1. Let k = 49 - 48.8. Sort z, q, k in descending order.\nAnswer: z, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -609, -1149, -1595, -1947?\n\"Answer: 47*i**2 - 681*i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 957*d**4\/4 + 29*d - 951. What is the first derivative of g(b) wrt b?\nAnswer: 2871*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 8*d + 104. Let q be g(15). Put 1, q, 0 in increasing order.\nAnswer: q, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 16*m - 158. Let j be w(-7). Calculate the greatest common divisor of 279 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6262229 and 3.\nAnswer: -6262226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 2*x + 4. Let c be s(3). Let t(h) be the first derivative of h**2 - c + 2 - 3*h**2. Give t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19572147*w + 12502480 wrt w.\nAnswer: -19572147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*r**4 - 20*r**3 + 1900*r**2 + 80*r = 0.\nAnswer: -2, -4\/95, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/46 (b) -1 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.91? (a) -2 (b) -1\/81 (c) 0.4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -39. Let v(a) be the second derivative of -a**4\/12 - 17*a**3\/6 - 15*a**2\/2 - 2*a. Is v(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1369 and 10767?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-26 - 0)*(-3)\/2 is divided by (-1)\/(-1)*-1 - -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j. Suppose 5*g + j + 15 = 0. Let r be (-1)\/4 - g\/12. Solve m + 2*o - o = r, 5*o = 5*m - 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 17*p**3 + 4*p**2 - 75*p + 204. Give m(3).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*t + 3*x + 2, 12 = 4*x. Find the second derivative of 9 - 2*h**3 - 3*h**t + 80*h - 85*h - 4 wrt h.\nAnswer: -12*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k - 43 = -193. Let a be (-10)\/2*(-1)\/(-1). Let d = 15 + a. What is the highest common divisor of k and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 1. Let x be o(-1). Let l be (-4 - -5)\/(2\/4*1). Is -115*x\/(l - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/448 and (-142)\/(-504) + 43\/(387\/(-4)).\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34732854, 34732855, 34732856?\nAnswer: 34732857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1099041*i + 1123. Let s be c(-3). What is s rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**6\/75 - 6*l**5\/25 + 7*l**4\/6 + 4*l**3\/5 - 36*l**2\/5 + 821*l + 2. Find w such that u(w) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*6\/(-108) - 994\/(-18). Let k = -174 + j. Let h = -63 - k. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1291*t**2 + 209*t - 4.\nAnswer: 2582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-28 - -22) + (-37)\/2)\/((-4)\/808)?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a1bc16 + -4?\nAnswer: -6a1bc1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -3\/4 (b) -1\/3 (c) 0 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - w + 9. Let o(u) = 5*u**2 + 4*u - 36. Let c(g) = -o(g) - 4*q(g). Let x(b) = -20*b. Let n(r) = 20*r. Let l(v) = 6*n(v) + 7*x(v). Give c(l(s)).\nAnswer: -400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/2 or 1962?\nAnswer: 1962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0406052 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57932 - -57940. Let d(p) = 2*p - 9. What is the lowest common multiple of d(6) and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 25 + 60 = 2*o + 5*o - 2*o, 5*o - 6*h = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 7:05 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 9:50 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 595, 594, 571, 514, 411?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:45 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z**3 - 347*z - 357*z + 696*z)*(-89 + 89 - z).\nAnswer: -9*z**4 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(2)) + -1 + -3.\nAnswer: 6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 113 = 24*d - 35*o - 32*o, -69 = -3*d - o for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -122*z**3 + 2*z**2 + z - 1. Let h be f(-1). Let q = h + -86. Suppose -4*t = q - 108. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-46) assuming j is positive.\nAnswer: j**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2625891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*w - 77*w - 7*w**3 - 2*w**2 + 150*w + 2*w**2 in the form z + f*w + y*w**3 + a*w**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/20, -0.13, 0.72 in descending order.\nAnswer: 0.72, -0.13, -7\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2 + 1644*t + 28815 = 0. Calculate t.\nAnswer: -17, 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + h = 61, 0 = -3*j - 0*j - 2*h + 62. Let s = -18 + j. Let t = 67\/12 - 25\/4. What is the nearest to -1\/2 in s, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 = 120*w + 1188 + 579 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by -3\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3516 - 2a0?\nAnswer: -37b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 - 24. Let z = -102.1 + g. Is z less than -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/7 + 2106*x**3\/7 + 104796*x**2 + 84171520*x\/7 - 12129600 = 0 for x.\nAnswer: -380, -294, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.373 and 756.\nAnswer: 752.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Suppose -53 = -q - 4*p, -q - q = v*p - 82. Suppose 12 = d - 2*j, 6 = -3*d + j + q. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 61*n**5 - 9*n**4 + 6*n + 99. Let x(m) = 31*m**5 - 4*m**4 + 3*m + 49. Let s(q) = 4*t(q) - 9*x(q). Find the second derivative of s(y) wrt y.\nAnswer: -700*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*-2*-3*4)\/(sqrt(60)\/(sqrt(48)\/sqrt(4)) - (sqrt(25)\/(sqrt(5) + sqrt(25)\/sqrt(5)) + sqrt(5))).\nAnswer: -192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - q + 4285. Let j(c) = -2*c**2. Calculate r(j(y)).\nAnswer: -8*y**4 + 2*y**2 + 4285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(4\/15))**48)**(-22) assuming z is positive.\nAnswer: z**(-6688\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:40 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3123 + 3128. Let i(d) be the first derivative of -15 + 3*d**b - 13\/3*d**3 + 0*d**2 + 0*d + 0*d**4. What is the third derivative of i(h) wrt h?\nAnswer: 360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26584319276\/926107 - -198402\/10177. Let r = 28685 + p. Let a = r - -18\/13. Put -4, -2, a in increasing order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 2, c: 3, j: 1}. Give prob of picking 2 c and 1 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44504, 51021, 57538, 64055?\n\"Answer: 6517*v + 37987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8\/(((f\/f**(-1\/4))\/f)\/f)*(f\/((f\/(f**8\/f))\/f))\/f**(-5)*(f**(10\/9)\/f*f**14)**(-46) assuming f is positive.\nAnswer: f**(-22585\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -36, -1\/9, 5, 327, 3\/5 in descending order.\nAnswer: 327, 5, 2\/3, 3\/5, -1\/9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 2\/15*m**6 + 1\/6*m**4 - 7\/20*m**5 + 1\/6*m**3 + 10*m + 0 + 0*m**2. Factor g(p).\nAnswer: p*(p - 1)**2*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + n)*(n**2 + 2 - 2) + 2*n**3 + 2 - 2 + 0*n**3 - 3*n**3 + 4*n**3 - 9769*n + 6*n**3 + 9548*n - 2*n**3.\nAnswer: 8*n**3 - 221*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from ppbzr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(126)\/sqrt(2) + -1) + (3*(sqrt(567) + (2*sqrt(567) + sqrt(567))*-6))**2.\nAnswer: 12*sqrt(7) + 1474763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*q + 9*q + 6*q**4 + (14*q**2 - 7*q**2 - 4*q**2 + 8*q - 2*q**3)*(3*q + 4*q - q).\nAnswer: -6*q**4 + 18*q**3 + 48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2376\/29 or -83?\nAnswer: -2376\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2274 - -3.\nAnswer: -2271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3, -4, -5, -1, 4, -15.\nAnswer: -15, -5, -4, -1, 3, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -184.46 and -0.03.\nAnswer: 5.5338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/63 - (-15 + 11 - 1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1187*n**2 - 547*n**2 - 98*n**2 - 546*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/6)\/((-1)\/162). Suppose 7*q - 2 = t + 3*q, t = 2*q. Is b - (0 + t) - 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from bggbbbgeb.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -510*t**5 - 250*t**4 + 641447*t wrt t.\nAnswer: -10200*t**3 - 3000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.041758 + 6146.24106\nAnswer: 6146.282818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -281 and -4.5245?\nAnswer: 1271.3845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 30557*p**4\/12 + 3*p**3\/2 + p**2 + 6*p. Let k = 0 - 6. Let g be y(k). Round g to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 4. Let j be (-28)\/16*(0 + 4). Let g be d(j). Let r(y) = y**3 + 3*y + 1. Is r(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 10. Let p(w) = 15 - 3 - c*w**2 - 12. Let f(y) = 3*y**2. Determine p(f(t)).\nAnswer: -45*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 9. Let v = 6.1 - 6. Which is the closest to 3? (a) -1 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o + 3767 = 2578 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 - 8\/126. Let d = y + 15\/28. Which is the second biggest value? (a) -3 (b) d (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = s + 5, 6*o - o + 2*s = 18. Suppose -t - o*t = -35. Round t to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x**3 - 2*x**2 + 3*x - 2. Let v be a(1). Let t be ((-3)\/v*6 - -1)*-4. Solve 0*i + 0 + 3\/2*i**3 - 3\/2*i**4 + t*i**5 - 1\/2*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0 - 10. Let g(d) = d - 4*d**3 - 1 + 3*d**3 + 2*d**2 - m*d. Let b(o) = -o**2 + 1. Let a = -1 + -1. What is a*b(c) - g(c)?\nAnswer: c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 2)*(-715)\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/16 and -19\/1360.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 15981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Suppose 0 = -a*w + 5*n + 56, 0*n = -4*w + n + 52. Let m = -5 + w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280795866 a multiple of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 2255.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1929846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -2.\nAnswer: -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*o = -49, -5*o - 126 = -5*j - 21. Suppose -7*t + 5*t = -j. Suppose -4*x - 104 = -3*k, t = k + 3*x - 5. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 12*l**2 - 4. Let z be q(12). What are the prime factors of (z\/1)\/(5\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 107175, 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.68451, -59\/4, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1431 - -4?\nAnswer: -142b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:37 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4131293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40541.\nAnswer: 71, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 11*g - 4. Let b be v(-3). Let o = 0.8 - 1.1. Let l = -9 - -6. Sort o, l, b in decreasing order.\nAnswer: b, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 + 50 = 4*n, -n + 15 = 2*o. Let r be 6\/n + (-26)\/21. Is -2 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 931?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2 and -1 - -2 - 6292\/2552.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -273*k**4\/8 + 51*k**2 + 2*k - 15. Let t(w) = -w**2. Determine f(t(l)).\nAnswer: 819*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3551\/9 + -395. What is the fourth smallest value in -0.5, 4, z, -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 + 209*l\/2 + 1089.\nAnswer: (l + 11)*(l + 198)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 12 + 7 = -k, 10*d - 7*k = 5 + 38 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 468224 and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 915\/11 (b) -1 (c) -4 (d) -2 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2. Let j(o) = 2*o + 405. Calculate q(j(s)).\nAnswer: -12*s**2 - 4860*s - 492075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9295\/874 - 200\/19. Let k = n - 933\/8372. Sort 3, -2, k in increasing order.\nAnswer: -2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*p - 26669 = 93921. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -2\/3*z**4 + 0 + 0*z**6 - 21*z + 0*z**7 - 1\/7*z**8 + 0*z**5 + 0*z**3 + 0*z**2. What is the third derivative of m(w) wrt w?\nAnswer: -960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5790 or -3410?\nAnswer: -3410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p - 14*p + 6*p + (5 - 5 - 4*p)*(-4 + 4 - 2))*(0 + 1 + 0).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*o - 96*o + 3263 = -4921 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.4 (c) 57 (d) -4 (e) -0.269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139671 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5027 - 1175?\nAnswer: 3742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77727 is divided by 483?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**13)**32\/(p**13)**(2\/7) assuming p is positive.\nAnswer: p**(2886\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3515 = -374*x + 2095 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77824 - 53239. List the prime factors of n.\nAnswer: 3, 5, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32366, 31767, 31168?\n\"Answer: -599*h + 32965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3 - q**2 + 6*q = 0?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a decade in months?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7757143.\nAnswer: 59, 131477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u + 1890 = 47*u. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 x when three letters picked without replacement from {p: 2, k: 1, o: 1, x: 2, q: 2, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -15*v**2 + 4*v - 14. Let r(z) = -16*z**2 + 4*z - 10. Let i(f) = -3*j(f) + 2*r(f). List the prime factors of i(5).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8821 * 149.\nAnswer: 1314329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -35304 - 4?\nAnswer: -35308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*d + d, -5*k + 4*d = -2. Find the second derivative of 5*v - 4*v - 4*v**2 + 2*v**2 + 3*v**k wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66297.86 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54860, 109722, 164584, 219446, 274308?\n\"Answer: 54862*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -25610 to the nearest 100.\nAnswer: -25600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 8604?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 9*g + 12. What is y(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15, -21, -29, -39, -51, -65, -81?\n\"Answer: -m**2 - 3*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480493981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -24. Suppose -5*h = -2*t, m*h - 5*t = 5*h - 35. Suppose 4 = 4*o - h*o. What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 37 = -25. What is the greatest common divisor of 12 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 452, 0.1, 0.4, 0.17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-10)*460\/46\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (769*j + 211*j - 438*j + 1914*j + 267*j)*(-j**2 - j**2 + j**2).\nAnswer: -2723*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.42 (b) -1 (c) -0.25 (d) -3\/4 (e) 0.5 (f) 1 (g) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -694, -1073, -1450?\nAnswer: -1825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1474*150521\nAnswer: 22186.7954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/56*552\/(-6))\/(-2) and -23\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 89903492.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*h + 13 = -16, 22 = 4*x - 2*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, e: 1, g: 1, p: 9, k: 1}. Give prob of picking 2 g and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-9))\/(4\/(-8)). Suppose 5*o - 2*k = -7*k + 30, o + 5*k - 10 = 0. Let x be 2\/5 + (-26)\/o + 0. Are x and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9821 - 8651. What is the highest common factor of 26 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j**3 + j**2 - 4*j - 4. Calculate s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2. Let v = 965 - 577. Let x = -389 + v. Let a(i) = -4*i**3 - 8*i**2. What is x*a(p) + 8*h(p)?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-2\/81)*(z*(z\/((z**4\/z)\/z))\/z)\/z assuming z is positive.\nAnswer: z**(-79\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*469365.\nAnswer: -17835870","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-44)\/252))\/((-3)\/(-2)*-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/5, -39, 1\/3, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*o**2 - 187 + 372*o - 377*o + 429 - 5*o**2 - o**4 + 1200 wrt o.\nAnswer: -4*o**3 - 90*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1745650 to the nearest 10000.\nAnswer: 1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-8291111.\nAnswer: -3316444.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3025738.\nAnswer: 2, 43, 151, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(95)\/(sqrt(20)\/sqrt(4)) + 0 + sqrt(19) + -4))**2.\nAnswer: -400*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 6*r + 3. Let w be n(-5). Let f = 499\/6 - w. Sort f, 5, -1\/6 in decreasing order.\nAnswer: 5, f, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*44\/66\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45107 and 794855?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/120 and -67\/864.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41605073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -83, -76, -65, -50, -31, -8?\n\"Answer: 2*f**2 + f - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7460 and 226784?\nAnswer: 1133920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63938*n*q*u**2 + 17*n*q*u - 6*q*u**2 - 4*q*u - 6*q + 1384*u**2 - 1 with respect to n.\nAnswer: -63938*q*u**2 + 17*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-40 + 270 + -220)\/(10\/12)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v**(-12\/5)\/v)*v)))**(7\/4)\/(v**(1\/11)*v**(1\/26)*v*v))**31 assuming v is positive.\nAnswer: v**(649047\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2112913 is divided by 1154?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 34*a - 5. Let m be i(2). Let s = m + -36. Let u = s + -18. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5607871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -57*o**3 - 5*o**2 + 7. Let h(n) = 55*n**3 + 4*n**2 - 6. Determine -4*a(x) - 5*h(x).\nAnswer: -47*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111 + -2120002?\nAnswer: -2200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h - 5. Suppose 4*s - h = s. Find the third derivative of z**s + 2*z**2 + 0*z**2 - 2*z**6 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) - (-18)\/4. Let w = p + -6. Let o(z) = z + 4. What are the prime factors of o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:52 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*g + 3 = -28, 0 = -4*l + 4*g + 32 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = r. Let y = r - -26. Suppose -4*m = 5*q - 11 - 16, -y = -4*q - 5*m. Calculate the greatest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.5 + 5. Let l = w + 1.5. Which is the closest to l? (a) -0.2 (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 582\/4*16\/3. Suppose 0 = -3*t + 1 + b. Suppose 3*j - 268 = 2*a + 3, 3*j + 4*a = t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m - 20 = 0. Let a be ((-115)\/(-10))\/(2\/m). Is (265 - 0) + (21 - a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934304541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161\/3*5796\/13524.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50340728 is divided by 515?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*y + 234 = 0, -1499 + 584 = -4*j + 5*y. Solve -17*w + j = -72*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942725033 to the power of 1\/2, to the nearest integer?\nAnswer: 30704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167916 and 1257900?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 4*c - 5*c - 3*c - c + 2*c + (-6 + 2 + 3)*(-2*c + c + 0*c))*(3 - 2 - 4)*(-2 - 3 + 6) in the form b*c + i and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: List the prime factors of 53706.\nAnswer: 2, 3, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2729 - -2729. Let h(s) be the second derivative of 1\/6*s**6 + 0*s**3 - 1\/6*s**4 + 0*s**2 - 3\/20*s**5 + 15*s + r. Let h(d) = 0. What is d?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f - 2*z - 44, 4*f - 4*z - 148 = 0. Let v = f - 27. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22528 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/8)\/(6\/(-16)). Let a(y) = -2*y**3 - x*y**2 + 4*y**2 - 2*y - 1 - y**2. Suppose 2*r - 2 + 4 = 0. Give a(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5586 - 3940 = 131*z + 168*z - 4633 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -12*k**2 + k + 1. Let u be d(-1). Let z = u - -47. Is -3*(-3)\/9*z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 391752874 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1080*j**2*t + 1385*j**2 wrt t.\nAnswer: 1080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/83 and 27\/61.\nAnswer: 5063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -144*k**4 + 3*k**2 - 126*k - 6. Let p(m) = 289*m**4 - 7*m**2 + 253*m + 14. Let l(y) = -7*j(y) - 3*p(y). Find the second derivative of l(x) wrt x.\nAnswer: 1692*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -554420 divided by -3\nAnswer: 554420\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10340 - 32400?\nAnswer: -43240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/(-132))\/(6\/52)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 3)*(2*c - 2*c + 2*c) + 32 + 121*c - 32)*(-2*c**3 - c**2 + c**2).\nAnswer: -246*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5035 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/8)\/c*c)**(-32)\/((c*c*c*c**(3\/2))\/c**22) assuming c is positive.\nAnswer: c**(91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h. Let b(d) = 199044*d - 2. Determine b(k(w)).\nAnswer: 1990440*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -22. Suppose 4*z = -2*m - 2*m + 52, -15 = -5*z. Let k be (-12)\/m*15\/(-6). Is u > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*s + 0*s = -23, 3*s = f + 9. Let t = 8 - f. Let x = 0 - t. Put -3, x, -4 in ascending order.\nAnswer: x, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.003 * 170409\nAnswer: -511.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7526292 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9214704 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/4*(-4 + (-10630)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9383020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/91 + -4\/13. Let n = -5816\/19 + 306. Let z = -3.9 + -0.1. Which is the second biggest value? (a) n (b) z (c) g (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -57, -133, -241, -381, -553?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -81*w - 15. Let x(s) = -40*s - 12. What is -5*r(g) + 9*x(g)?\nAnswer: 45*g - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52 - -5 - -1) + 0 + 1. Let v = 47 + q. Solve v*k = 3*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 0*r**2 + r**2)*(2017 - 495 - 488 - 491 - 543 - 53926*r) in the form w*r + z*r**3 + d + g*r**2 and give z.\nAnswer: -107852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3 - 43*h - 38*h - 2*h**3 + 87*h + 3*h**3. Suppose 0 = -y + 5*y - 4. Let p(x) = -x. Give y*v(g) + 6*p(g).\nAnswer: g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 13581, -5\/4, -2\/3, -9\/13 in descending order.\nAnswer: 13581, -2\/3, -9\/13, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 - -25?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (-4)\/(-6)*(-249)\/2. Suppose 3*o - 4*j - 4 = 38, j + q = 5*o. Let t = -18 + o. Solve -s - l + 2*l - 4 = t, 3*l - 17 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14055, -14098, -14165, -14268, -14419?\n\"Answer: -2*v**3 - 29*v - 14024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8493?\nAnswer: 3, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101 (base 2) to base 7.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**4 - 29*l**2 - 278*l.\nAnswer: -48*l**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.33463 + -0.03463. Sort 3\/8, -6022, d in increasing order.\nAnswer: -6022, d, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256624?\nAnswer: 2, 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (15 + -3 + (-4 + 1 - 0))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Let y = h - 5. Let t = -0.109638 + -0.190362. Which is the closest to -0.2? (a) -2\/9 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -5, -10, 452, 0.5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z. Let i(w) = 367*w + 4. Let f(o) = -194150*o - 2118. Let v(u) = 2*f(u) + 1059*i(u). Give v(b(a)).\nAnswer: 706*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Suppose v = s + a*v - 9, -3*s - 3*v = -36. What is the remainder when 29 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*8\/(-88))\/((-24)\/(-44)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415, -463, -485, -481, -451?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f - 5*m = 38*f + 17541, -29197 = 5*f + 2*m. Is -5836 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-8\/3)\/((y*y\/(y\/(y*y**(1\/3))))\/y**(1\/2)) assuming y is positive.\nAnswer: y**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3\/4 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 0*t + 0*t)*(-22 - 223*t + 286*t - 135*t - 307*t + 19).\nAnswer: -379*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 - 157 = -154*s. Solve -m = 4*q - 16, -4*q + 22 = 2*m + s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6390462 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -80\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1000010001 (base 3) to base 9\nAnswer: 30101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -427, -647, -849, -1027, -1175, -1287?\nAnswer: -1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(12)\/sqrt(6)) + sqrt(35))\/(-6*sqrt(5)*-3 + sqrt(5) - sqrt(5)).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqqccqq. What is prob of picking 1 c and 2 q?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 428028 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 - 20 = 4*v. What is v rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 297*a - 4930 = 361*a for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760546 is divided by 3141.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11298 - 11301. Let m = -2.96 - 0.04. Let z = -2 + m. What is the closest to 0.1 in 3, y, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132 - -23 - 99) + 19\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-660)\/45)*(-18)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 + (-19)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 909211 and 5767.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/2292545 + 2292537\/9170180. Factor v - 3\/4*v**2 - v**3 + 1 - a*v**4.\nAnswer: -(v - 1)*(v + 1)*(v + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 + 3*s**2 + 1. Suppose 3*m - m = -2*i + 2, 3*m = -2*i. Let b(j) = -j**3 + 6*j**2 - 9*j - 3. Let r be b(i). Determine q(r).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3795 and -59\/30.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8213 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 + 0*y**2 - 293*y**2 + y + 17*y - 196*y**2 as x*y**2 + w*y + r and give x.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32116\/(-369334) + (254\/(-3))\/2*24\/(-46)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((3 - -4) + -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35228, 5, 3, 0, 8, -5, 1 in increasing order.\nAnswer: -5, 0, 1, 3, 5, 8, 35228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 12 - 12 + 2*u**3 + 2*u in the form b*u**2 + v*u**3 + w*u + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/120 + 17*u**5\/60 + 5*u**4\/6 - 23*u**3\/6 + 35*u**2. Calculate the remainder when o(-15) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 166475.\nAnswer: 3\/166475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*q - 4, 4*q = 4*k - 0 + 8. Suppose k = -4*d + 8 + 8. Suppose -d*a = -5*a - 8. Let r(f) = -f**3 - 7*f**2 + 8*f + 5. What is r(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*l + 3*l - 16 = 0, 2*y + 10 = 4*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84*i + 267 - 267)*(22*i**3 - 38 + 38) to n + v*i**3 + j*i**2 + g*i**4 + c*i and give g.\nAnswer: 1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2 + 8*m - 3*m + 7*m. What is the units digit of n(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 10952.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 2*z + 1\/2*z**3 + 0*z**2 + 0. Let y(p) = -p**2. Give y(w(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 10. Suppose 4 + 2 = d*k. Let o(b) = -b + 7. Let a(h) = h - 6. Let u(m) = 4*a(m) + 3*o(m). Let n(s) = -3*s + 7. Give k*n(c) + 7*u(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 7*k + 5. Let n(p) = p. What is -b(f) + 6*n(f)?\nAnswer: -2*f**2 - f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1\/5 (c) -2\/13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10267 (base 13) to base 14.\nAnswer: a7c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 302723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-3)\/(-15)*5. Let c(j) = -j**3 - 2*j**2 + 10*j + 2. Let b be c(q). Let a(f) = -44*f - 47. What is the units digit of a(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 divided by 4?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20366.8279 rounded to 0 decimal places?\nAnswer: -20367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642854802?\nAnswer: 2, 3, 107142467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzw when three letters picked without replacement from {y: 2, z: 1, w: 3, h: 6, l: 7}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 12. Let w be ((-12)\/(-68))\/((-9)\/q). What is the nearest to 2 in w, -4, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 42*z - 39*z = -145, 2*y + 4*z - 32 = 0. Let l(o) = 2*o**2 + 26*o - 133. Is l(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(3)*-6)\/sqrt(2).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**5\/20 + l**4\/3 - 5*l**3\/6 + 260*l. Calculate k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 + -123. Suppose 0 = -3*o + b + 56 + 99, 2*b + a = o. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 22*l**2 - 67*l - 19. What is the hundreds digit of n(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*a - 500*a - 42*a to the form b*a + k and give b.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**4\/4 - 2*t**3 - 3*t**2 + 5*t + 1. Let z be x(-5). Let u = z + -2. Calculate the highest common divisor of 16 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -262*(16 - 3)\/(60\/(-90)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + a = -117, -4*a + 660 - 192 = 4*k. What is the highest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-1 + 4 + 0. Calculate the remainder when 243\/18*(1 + j) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 28 (b) -0.4 (c) -2\/15 (d) -233\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*o - 108*o = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 954 divide 2970980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(1100\/(-80))*(-105)\/(-126)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -48. Let s be 40\/n*1\/4. Which is the nearest to -1? (a) s (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o + 4*m = 103, -m = -o + 35483 - 35504 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5\/2 - a**4 - 16*a**3 - 15*a**2 + 63*a\/2 = 0.\nAnswer: -3, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129080740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7612 and 1401488.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 6 = -d, 136 = -2*v - 37*d + 45*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 - 2 = 0. Let f(g) = 6*g**2 + g + 4*g - 7*g**n - g + 7. Calculate f(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10637 or 10635?\nAnswer: 10637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 41961 (b) 4 (c) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2104*k + 23 - 5 - 9.\nAnswer: -2104*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*f - 522*f = -60 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(175) + 3 - sqrt(175).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-8) - (-4)\/16. Suppose 3*c - k*q - 10 = -2*q, -4*q = -3*c - 5. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 5*m**3 - 18 + 0*m**3)*(14*m - 45*m - 17*m).\nAnswer: -240*m**4 + 1488*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -361 + 126. Let q = -235 - d. Let u be (-3)\/(-6) - 25\/42. Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, h: 3}. Give prob of sequence ff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 26364, -9\/4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 11 (c) -4 (d) 517 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 7*n - 10. Let j be s(9). Let p(z) = -z**2 + 6*z + 17. Let t be p(j). Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 - 3*h. Let v(s) = -s**2 - s. Determine r(b) - v(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 16. Let r be 4\/2 + 5\/5. Let d be (r + -6*1)*-1. Solve x - 3*w = o - d, w = -x - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3672 and -47\/138?\nAnswer: 84456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -154*q - 4552. Determine u(-30).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 9*z**2 + 8*z - 5. Let c(i) = -2*i + 3. Calculate the remainder when v(-7) is divided by c(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 237798?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13748438 or 13748439?\nAnswer: 13748438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/9*-3 - 2. Let y(v) = -v**2 + 3*v - 2. What is y(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d + 2*z + 153 = 0, -2*d - 2*z = -102. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-9)*(-17 + 2). Suppose 0 = 4*d - 5*q - 34 - 45, h*d + q = 77. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*13\/28 + (-135)\/(-315).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -3)*1 - 0. Suppose 3*l + 3*x + 2 + 1 = n, 4*x = 4*l - 36. Put l, -2, 0 in decreasing order.\nAnswer: l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -2 - -1)*-3. Let i = g - -5. Suppose 5*l = 3*r - 10, i*r = 5*l - l + 6. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2. Let v(x) = -4*x + 15. Calculate t(v(y)).\nAnswer: -16*y**2 + 120*y - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + u - 312. Calculate the remainder when u is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -438.788+-22\nAnswer: -460.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 387 and 21.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 594.\nAnswer: -8\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101002121121 + 21012?\nAnswer: 2101002212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**3 - 20*z**2 - 13*z - 44. Let k = -200 - -206. Let q(v) = -5*v**3 + 11*v**2 + 7*v + 22. Let d(r) = k*p(r) + 11*q(r). Determine d(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34439949\/608 + -113289\/2. Calculate the common denominator of m and 19\/16.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-48)\/(-9))\/((-14)\/(-105)). What is the greatest common factor of a and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 4241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328151 to the power of 1\/2, to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 16*i**2 - 27*i - 10. Let k be w(14). Suppose z - v = 4, -9*z = -5*z + k*v + 24. What is the closest to z in -3, 1\/6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -275*q**2 - 3 + 277*q**2 - 149*q - 260*q - 1 as f*q + t + u*q**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) -1\/42 (c) 7 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 898 (b) -1.4 (c) -82 (d) 0.04 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04201549 rounded to three dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238501 by 18.\nAnswer: 238501\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18588 - -18590. Let d(m) be the first derivative of 0*m**z + 0*m - 13\/3*m**3 - 21. Let y(p) = 2*p**2. Give y(d(q)).\nAnswer: 338*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5638438?\nAnswer: 2, 13, 229, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 6) + 2 - (-8 + -2) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -42 - (-5)\/((-25)\/(-15)). Let m = -42 - z. Which is smaller: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a meter in millimeters?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**4 - 1803400*h**3 - 3606812*h**2 - 1803408*h = 0.\nAnswer: -1, 0, 450852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 12*r - 20. Calculate the smallest common multiple of ((-3)\/(-24)*4)\/(1\/2) and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 - 79*r - 18. Give k(6).\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1849*z**2 - 132 - 344 - 109 - 45 + 89*z**2 with respect to z.\nAnswer: -3520*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + r + 8, 2*k - 2*r = r + 12. Let j be 26\/k + 8\/24. Is 18510\/16 + j\/72 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 14*m + 37. Let b be j(15). Suppose -b*w - 558 = 146. Let q = -17\/14 + 67\/35. Find the common denominator of w and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4073897 is divided by 853.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2011 + 12?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19319671 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: Let c(z) be the first derivative of 9*z**3 + 1185*z**2 - 528*z - 128. Find x, given that c(x) = 0.\nAnswer: -88, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1456 is divided by 121.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3978)\/5304*118\/3\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2434645449.\nAnswer: 3, 47, 5755663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1191*s**5*u - 95*s**2*u - 2*u wrt s?\nAnswer: 71460*s**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(3)*1))**2 - (0 + -1 + sqrt(19)).\nAnswer: -sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0947 - -11832\nAnswer: 11831.9053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 125832 divided by 14\nAnswer: 8988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-4.20449.\nAnswer: -4.20449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:12 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135448 by 33862.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 smaller than 0.026899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g + 8. Let y be i(3). What is the greatest common factor of 1222 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 greater than 3\/74396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5 = -3*t, -157*t + 122*t + 18*v - 14*v + 74 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 1\/2 (c) -85 (d) -13\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.1 (b) 1 (c) 5 (d) 44\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-5 - -8))\/((-1)\/2). Solve v*t - 4*t + 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.59 - -1.41. Let h = 61\/3 + -62\/3. What is the closest to h in -13, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 + 16 = 0. Suppose -2*n = 3*g - 3*n - 17, -l = -2*g - 2*n. Let w(i) = -i**3 + i**2 + 7*i - 5. Let v be w(g). Round v to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 229 in -5, -3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -25. Let t(m) = -m**2 - 37*m + 1068. Let v be t(19). What is the smallest value in r, 3\/5, v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8597 is divided by 1210?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -699377 divided by -11.\nAnswer: 699377\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4393885*b**2 - 4302189 wrt b?\nAnswer: -8787770*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -269 or -270?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3800*s**3*w**2*y**2 + 422*s**3*w**2 - 2*s**3*w*y + w**2*y wrt y?\nAnswer: 7600*s**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 239.70001779 - 239.7. Round t to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -8 (b) 4 (c) -0.09415\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0539878 plus 39?\nAnswer: 38.9460122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 106290 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 18. Let h = y - -19. What is the remainder when 30 is divided by 2 - (0 + (-27)\/h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 7*g - 24*g + 12974. Are 500 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 286 + 12 = -2*f, 0 = -2*z + 3*f - 186. Let p = z - -68. Does 12 divide 19820\/110 + 4\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 1, 7 = f - q. Solve g = f - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1 - 7*q + 2 + 9*q + 4. Let o(h) be the third derivative of -h**4\/24 - h**3\/3 - h**2. Let l(z) = -6*a(z) - 13*o(z). Calculate l(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 56764*n + 56765*n + 1095 - 113529*n.\nAnswer: 2*n**2 + 1095","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -857867.343 and 256.493.\nAnswer: -857610.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-550)\/600*4)\/(1\/(-9)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2334221 and 5213.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*r**5*v - 11*r**3*z**2 + 3*r**3*z - 645*r**2*v*z + 7*v*z + z**2 wrt r.\nAnswer: 1800*r**2*v - 66*z**2 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4136\/3 or 0?\nAnswer: -4136\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 10:21 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30687961?\nAnswer: 30687961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 113 = 3*h, -3*m + 4*h + 192 - 31 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 7*l + 2148. Let k = l + 931. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 48 - 84*f + 79*f + 75. Let r be w(24). Solve a + r = -2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 36. Solve w = q - 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26421915.59 to the nearest 1000.\nAnswer: 26422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 20*n - 22*n - 121 = 0, -77 = -4*x - 5*n. Suppose -z + 55 = z + i, 0 = -5*z - 5*i + 130. What is the remainder when z is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2467266, 4934510, 7401748, 9868980, 12336206, 14803426?\n\"Answer: -3*m**2 + 2467253*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 13*o - 4*p + 138059 = 0, 3*o = p + 82832. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 2*u**2 - 624799 + 624799.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24840 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**5 + i**2 + (0*i + 0*i - 2*i**2)*(i**3 - 11*i**3 + 5*i**3).\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nffn when four letters picked without replacement from {n: 2, a: 10, f: 4}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1528*l = -1534*l + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.4 - -0.1. Let s = k + -4.49953. Round s to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4 = -q. Let b be (12\/(-9))\/(q\/6). Suppose -2*d + b = -8. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1928*k**4 + 137*k?\nAnswer: -23136*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.204 take away 97967?\nAnswer: -97967.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 74. Let f = q - 16. Let l = -19 + f. Is 6\/11 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/32 - (-184)\/64?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 29 - 120860*z**2 + 120873*z**2 + 61.\nAnswer: 13*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 397 = -j - 419. Solve 0 = -46*r - j - 72 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f**2 - 2*f. Let r(n) be the first derivative of 7*n**3 + 2*n**2 + 136. Determine -5*q(y) - 2*r(y).\nAnswer: 8*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*s - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 868 divided by -2\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 - 5*b**2 - 9*b - 6. Determine x(-5).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/o**(1\/8)))\/(o\/(o**(-1\/2)\/o)))\/(o**(-1\/2))**(18\/11)*((o*o**(-2)*o)\/o*o**(-7))\/(o**(-2)\/o**(-7)) assuming o is positive.\nAnswer: o**(-1193\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let s be (-16)\/6*(-3)\/r. Let k(o) = 144*o - 69*o - 22 - 74*o + 18. Give k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -1688.04.\nAnswer: -1688.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Suppose -2*j + 5*l - 3 - n = 0, -2*j = -2*l. Solve -5 - 5 = -j*y, -30 = -5*c - 5*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40675511 + 0?\nAnswer: 40675511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 10847\nAnswer: 4\/10847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22216794 - -0.0213.\nAnswer: -0.20086794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5\/3, 1685479 in increasing order.\nAnswer: 5\/3, 13, 1685479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 2. Calculate the smallest common multiple of 14 and 14\/(-1)*z\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 17*t + 21*t**2 + 2 - 24*t**2.\nAnswer: 3*t**2 - 17*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2 = -18. Suppose 2*a - m*a + 10 = 0. Let z be 17\/5 - 8\/20. Solve 2*k - z = a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(32) + 4 - sqrt(2)) + sqrt(2) + sqrt(2))*4 - (-1*sqrt(1944))\/sqrt(12))**2.\nAnswer: 928*sqrt(2) + 1938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfw when three letters picked without replacement from {z: 4, f: 8, w: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*j**2 - 71*j**2 + 3*j - 3*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -1739139.8?\nAnswer: 12173978.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4452 = 227*n - 229*n. What are the prime factors of n?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ae + -5?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 71*d**2 - 15*d - 16. Let j be v(-1). Suppose -j*w - 13 = -13. Suppose 0 = -4*c + 3*f + 10, 0*c + 4*f - 4 = c. Sort 5, w, c, 10.\nAnswer: w, c, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 9*g + 10. Let s be j(-8). Suppose -5*o + 5*f + 31 = -4, 2*o + 2*f = -s. Solve -5*q + 5 = -5*k - 2*q, 0 = o*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23\/3 - 9. Calculate the common denominator of b and (1 + 0)*(-22)\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 17*f - 4. Let l(c) = 35*c - 8. Let m(a) = -4*l(a) + 9*x(a). Let y be m(4). Calculate the greatest common divisor of 32 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + 2*k - 4*k)*(149*k + 3*k**2 - 149*k - 2 - 2*k**3) to the form z*k**3 + u*k + r*k**2 + b + l*k**4 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109283203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86711, -172248, -257785?\n\"Answer: -85537*t - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -15 - (0 - 9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -89*s**2 - 46*s - 9. Determine v(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6138, 62, -3, -7 in ascending order.\nAnswer: -6138, -7, -3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.27 or 2\/5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + -2 + sqrt(19)*-1 + sqrt(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4*(-10)\/60)\/3)\/((-10)\/5).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2435555.53 rounded to the nearest 1000?\nAnswer: -2436000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*d**2 - 9*b**3*d*g*m - b**3*d*m + b**2*d*g**2 - 102*d**2*g**2*m + d**2*g**2 - 2*d*m wrt d.\nAnswer: 2*b**3 - 204*g**2*m + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2 - -3.1. What is the nearest to 0 in g, -2\/7, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1007242 less than or equal to -1008075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000925448964 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 4. Let o be x(4). Suppose 2*a - 7*a = o. Let k be 2 - 4*(-2)\/(-5). Which is bigger: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6650 and 2082248?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3 + 280423*v**2 - 19659124520*v - 19659404944 = 0.\nAnswer: -1, 140212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20285314, 40570666, 60856018, 81141370, 101426722?\nAnswer: 121712074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -41, -57, -79?\n\"Answer: -3*q**2 - q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94621 + -50321. Round i to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 138, -2\/5, 5, 0, 1\/2, -0.02, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z - 14. Determine h(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 + h - 2. Let u be s(-2). Suppose 6*l - 2*l - u = 0. Suppose -2*y - y = -l. Solve -y = 4*a + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)*c\/((c*(c**8\/c)\/c)\/c))**(-10\/3) assuming c is positive.\nAnswer: c**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - v**2 + 3)*(5*v - 4*v + 3*v) + (-5*v**2 - 3*v**2 + 5*v**2)*(-3 - v + 3) to the form z*v**2 + b*v**3 + y*v + h and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -47558*a**2 + 4*a - 5*a + 47563*a**2 + a. Let j(n) = 9*n**2 - 7. What is r(j(z))?\nAnswer: 405*z**4 - 630*z**2 + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17023705\/1927692 - 126\/17849. Let p = r + -2\/27. Find the common denominator of p and -32\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 2. Let d be g(-5). Let v(j) = j**3 - j**2 + j - 3. Is 9 a factor of v(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 25.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -120680 and -197?\nAnswer: 23773960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-816)\/170)\/24)\/(1\/(-115))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61318 + 8768527\/143. Let y = 1050086\/117 - 8975. Calculate the common denominator of n and y.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 1 + 21. What is the smallest common multiple of 13 and z?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -527849 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286598\/146 + (0 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84.267 + -83.5. Let h = 0.023 + p. What is h rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4)\/(-10)*-4 + -2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 3131.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -69, 36, -1, 5, -2.\nAnswer: -69, -2, -1, 1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-4)\/30*3). Suppose 4*u = 10 - 6. Let q be 3*(u - (i - 3)). Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*d + 555*d - 6270 = 116*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3\/3)\/(15\/(-10)*10\/18).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*l + 256*l - 61*l = 0. Find q such that 2\/5*q**3 + 0 - 8\/15*q + l*q**2 + 2\/15*q**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (5 + (-135)\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -819*c + c**2 + 791*c + 6*c**2 to the form j*c**2 + i*c + a and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2240)*-1)\/(sqrt(448)*3).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -11 - 29. Let q(o) = -o**3 + 9*o**2 + 10*o + 5. Let h be q(x). What is the units digit of 46 + -4 + h - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.3 times -2105084?\nAnswer: -34312869.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*k + 2, 8*k = 3*k - 4*n + 18. Find the third derivative of -42*x**5 + 350 - 350 + 59*x**2 - 21*x**k wrt x.\nAnswer: -2520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7328647119 to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -33945, 5 in ascending order.\nAnswer: -33945, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0063 + -0.0363. Sort -2\/17, s, -0.22 in increasing order.\nAnswer: -0.22, -2\/17, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 1:49 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -3, 5579, 0 in increasing order.\nAnswer: -4, -3, 0, 5, 5579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -18.\nAnswer: 31\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20764747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15624 is divided by 681.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1816*a**6 - a**4 - 424*a**3 + 165421*a**2 - 2*a + 3 wrt a?\nAnswer: -217920*a**3 - 24*a - 2544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 at most as big as -1426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 2:41 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 704755\/12 > 58729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 + 3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 3*u - 1104953*u**3.\nAnswer: -1104953*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t + 28 = -35*t - 5*d, -3*t - 3*d = 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -21037274 equal to -21037288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 - (2 + -173)) + (-7 - -10) + 21.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12213103 (base 4) to base 5\nAnswer: -1331331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*n + 19 = 0, -3*f + 2*n = 4*n - 6. Solve 2*p + 0*r + r = 3, -p + 5*r = f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3031130420 (base 5) to base 13.\nAnswer: -1361150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7877493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 17, i: 2}. Give prob of sequence dd.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339513586?\nAnswer: 2, 5003, 33931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1211 - 189260\nAnswer: -189259.8789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 27*s - 46. Let z(r) = 2*r. Let j(t) = -d(t) - 2*z(t). Find the first derivative of j(x) wrt x.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2 (b) -1 (c) -4 (d) -1\/8922\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140 + 145. Suppose -4*d + 3*h + 14 = 0, 0*h - t*h - 2 = 4*d. Solve 0 = 4*j + d*w - 6, -j - 10 = -2*w + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 22*c - 394. Let y = 8 + -4. What is the smallest common multiple of y and n(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 5*s - 4. Let v(a) = -a**2 + 3*a + 2. Give 6*r(g) + 10*v(g).\nAnswer: 2*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1220767 divided by -317.\nAnswer: -3851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 30*j**2 - 40*j.\nAnswer: -5*j*(j - 4)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r = 21. Let g = -3 - r. Suppose 4*f + 80 = 5*c + 14, f = -g*c + 36. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**9\/15120 + w**8\/3360 - w**7\/2520 + w**4\/3 + 2*w. Let n(t) be the third derivative of q(t). Suppose n(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6743 - 6738. Suppose -5*y = -8 - 2. Suppose -r*s = -10, -2*d + s = y*s - 310. What are the prime factors of d?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -57?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -577217 divided by 1?\nAnswer: -577217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -26*d**2 - 2263*d + 77. Let t be f(-87). What is the highest common factor of 4100 and t?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Which is the closest to -2\/3? (a) -0.11 (b) h (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1716, 3437, 5160, 6885?\nAnswer: 8612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) + (-13)\/(-84). Let a = 14.231 + -11.231. What is the nearest to 0 in -1, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**2 + 3*c + 16 - 8*c**2 - 3 + 15. Let j be y(7). Suppose j = 3*l - 4*u - 362, 214 = 3*l - u - 160. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 937860*m - 73298448300.\nAnswer: -3*(m + 156310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 21 = -v. Let p = v + -12. Solve 10 = 2*i - 2*b - p, 0 = 2*i + 2*b - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16585678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.4578 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1917 and -4\/35145?\nAnswer: 105435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -71, -9, -0.4, 21?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 - 6*q**4 + 32*q**3 + 65259*q**2 wrt q?\nAnswer: -120*q**2 - 144*q + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -15. Let m(x) = x**2 + x. Let c be m(0). Suppose 5*r - 16 + g = c. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 25*k**2 + 29*k**2 + 29*k**2 - 109*k**2 + 27*k**2 + 9 + 460*k - 467*k. Let y = 12 + -7. What is x(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -34, 2596, 1, -2 in descending order.\nAnswer: 2596, 4, 1, -2, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -127b7 + -5?\nAnswer: -127bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17358 + -15755. Calculate the remainder when f is divided by 58.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*d + 4655 = r, 5*d + 11630 = 5*r. Suppose i - 16*i = -r. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -58, -86, -138, -220, -338?\n\"Answer: -u**3 - 6*u**2 - 3*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35717277*s**3 + 341136*s - 22?\nAnswer: 214303662*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2 - 4363*k = 0.\nAnswer: -4363, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19062*m - 4114*m + 79084 + 70816 = -475852 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54\/115 - 20\/23. What is the nearest to r in -62, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009903088 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Suppose -7*j = -11*j - 4. Let b be j\/5 + (-5)\/(-25). Solve b = -l*s - 5*q - 7, s + q - 2*q = -5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 smaller than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1010100110010 (base 2) to base 7\nAnswer: 21551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 7*d + 5. Let c be p(4). Let m = c - -21. Suppose -a + 2*a = 11. What is the remainder when m is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1573020585.237997722 - -1573022467.238. Let p = 1882 - x. Round p to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-171)\/5016*-11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20646651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32960?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 6\/3)\/((-5)\/(-10)). Suppose 6*n + 2*o = n + s, 0 = n - 2*o - 8. Solve 2*r = -n - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab5 + -40?\nAnswer: a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 58, 98, 144, 196?\n\"Answer: 3*i**2 + 25*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -174.4 + 175.4. Which is smaller: a or -762?\nAnswer: -762","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 77*o**2 + 3*o - 4. What are the prime factors of z(-3)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 103279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-10 + (7 - 7) + 9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (64\/6)\/(2*(-2)\/(-318))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3 + 5*h**2 - 550*h = 0 for h.\nAnswer: -11, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 14*d - 11. Let h be p(13). Suppose 35*s - 30*s = -h. Let c = s + 100. Is c a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392) - -4*(sqrt(392) - (1*sqrt(392) - sqrt(392))))\/((sqrt(4) - (sqrt(8)\/sqrt(2) + sqrt(4)))*4 + sqrt(4) + sqrt(20)\/sqrt(80)).\nAnswer: -140*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17988482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19*z - 44. Let d(v) = 10*v - 21. Let s(t) = 7*d(t) - 3*n(t). What are the prime factors of s(25)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5312 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10495 and 47254787.\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 24449676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 3*o**2 - o + 2. Let t be k(-3). Let s(j) = j**2 - 4*j - 2. Let r be s(t). Let a be ((-12)\/(-54)*-6)\/(1\/(-3)). Which is greater: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29255*a + 27999*a = 69080 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312) + (sqrt(312)*-1 - sqrt(312)) + sqrt(312) + sqrt(312))\/sqrt(8))\/(sqrt(144)\/sqrt(3) + sqrt(3)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 5*l**2 + 11*l + 9. Let g be p(-7). Suppose 2*c - g = -3*c. What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-11178)\/(-12) - 8\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**(-2\/113)))\/l**(-39))\/(l**(4\/13))**(-10\/3))**(1\/3) assuming l is positive.\nAnswer: l**(176315\/13221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**4\/2 + 29*f**3 - 82*f**2 + 28*f = 0.\nAnswer: -14, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(4\/6))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -2*(-134)\/(-4). Suppose 5*x - 200 = 5*s, 9 = -s + 2*x - 33. Let v = s + o. Calculate the highest common factor of v and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 10 = 5*w, 4*h - 4*w = 24. Suppose -5*n + 77 = -h*x, 0 = -x - 5*n + 6*n - 20. Let j = x + 62. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.5 + -8. What is the nearest to -2 in q, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/4 = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 217074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1807, -3620, -5433?\n\"Answer: -1813*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t - 17*t + 16*t - 8*t)*(-5 + 5 - 3*t**2 + (-2*t + 2*t + t)*(3*t - 2*t - 3*t)).\nAnswer: 115*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 214 - 250 = 4*p, 5*j + 5*p - 45 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/((-1)\/((-3)\/(-30)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**4\/6 - j**3\/6 - j**2 + 532*j. Calculate i(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 - -622. Let i = 349 - o. Which is the third biggest value? (a) 2\/15 (b) -0.22 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -120?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 97 (b) -2\/5 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1953011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 12*(8\/6 + -2). Suppose 5*o - 185 = t - 0*t, -3*o - u*t + 111 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) + (-2478)\/(-105). Let g = f + -21. Suppose g*d - 7*d + 180 = 0. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -15.96. Let a = j - -0.04. What is the third biggest value in a, 3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -51, -5, 7771, 4 in increasing order.\nAnswer: -51, -5, -2, 4, 7771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29809 is divided by 4966.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 2:25 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, 15540.53, -5\/3?\nAnswer: 15540.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/21 - (-27)\/63. Suppose -1 = -2*w + s. Suppose -u + 41 = w*r, 4*r + 12 + 4 = 0. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6)*(-3 + -3). Let j be -1 - -13 - (-1 - -1). Suppose 0 = 2*m - 6*m + j. Solve y - 4*n = 4*y + 16, -l*y + 12 = -m*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39820 and 29304?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4244*n**2*w**3 - n**2*w - 2*n**2 + 2680*n*w**3 - 2*n*w - 1262*n + 2*w + 941 wrt w?\nAnswer: -25464*n**2*w + 16080*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 576 + -573. Suppose f = 2*f - 1, 5*v - 29 = -4*f. Suppose 4*q - w + 0*w = -1, 0 = q - v*w + 24. What is the nearest to -1 in d, -10, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3.7. Let k = -14 - -14.7. Let v = k + m. What is the nearest to -1 in v, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(-63) - (-1 - (-70)\/49)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 4*i**2 + i - 5. Let c be j(6). Let v = c + 131. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 1\/5 (c) 21 (d) 3 (e) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 14655*b**3 - 10745775*b**2 + 10731125*b.\nAnswer: -5*b*(b - 1465)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -3 + (-685384610)\/308. Let w = 2225351 + q. Let z = w - 521\/7. Find the common denominator of z and 89\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 9:38 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.5, 1040879 in increasing order.\nAnswer: -0.5, -0.1, 1040879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -26. Let u(p) = -p - 9. Let y be u(x). Which is greater: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(17) - sqrt(51)\/sqrt(75))*-6 + -3)*6)**2.\nAnswer: 20736*sqrt(17)\/5 + 1442448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:52 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 4*n**2 + 2*n + 9*n**3)*(0*n**2 + n**2 - 2*n**2).\nAnswer: -9*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-9) - (-12)\/(-54). Let k be (-56)\/10 + (-2)\/5. Let g be (k\/v)\/(12\/(-32)). Sort -3, 5, g in descending order.\nAnswer: 5, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/15 - 8\/3. Let d(v) = -v**2 - 2*v + 4. Let l be d(f). Let q be (1\/9)\/(l\/(-3)). Is q equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18758 a multiple of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2622283?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 = -3*x + 4, 0 = 2*x - r - 1. Suppose 101 = x*p + 23. Suppose -5*a + 2*o + 145 = p, -2*o + 4 = 0. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*x + 60*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, d: 1, t: 6, f: 2}. Give prob of picking 1 t and 3 s.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3004627 (base 8) to base 13.\nAnswer: -2180c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 119\/3. Let i = 11 - 10. What is the nearest to i in -6, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o - 1. Let i(r) = -5*r - 1. Let h = 14 + -10. Give h*p(d) - 3*i(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 2*m - 2. Let l be n(-4). Suppose -7*q + l = -2*q + 3*p, 3*q - 5*p = 24. Put 2, q, 5 in increasing order.\nAnswer: 2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 1 + 1)*(1 + 2*z - 1) - 4*z - 3*z + 5*z - 101*z + 19*z - 73*z - 4 + 2 + 0*z - 3*z)*(-3 + 2 + 2) as y*z + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8896.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10202 (base 3) to base 9\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m = 382 - 82, 4*b + 3*m = -0*m + 198. Suppose -3*y - 3 + 507 = 0. Calculate the greatest common divisor of b and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347197825 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + f = -1, 9 = 8*w - 4*w + f. Is 3 a factor of (w + (-4)\/8)*14\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317115960 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02967 + -0.07033. What is the nearest to -0.1 in -0.4, o, 135\/2, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l + 47. Let x = -4 - l. Let o(p) = -10 + x + 7*p - 8 - 3*p. Determine o(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, -5, 1, 2, -4 in ascending order.\nAnswer: -5, -4, 1, 2, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43433781 - 43433760.3999901. Let w = 16.5 - -4.1. Let o = l - w. What is o rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 4, x: 2}. Give prob of sequence yx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5 = -x - 2, 4*x - 8 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 104191983679.\nAnswer: 104191983679.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 13*f. Let c be n(-13). Suppose -4*p - 1 + 9 = c. Let w(k) = k**3 - k + 7*k - 1 + 6*k**p - 5. What is w(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4513, 8933, 13271, 17527, 21701?\nAnswer: 25793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*c + 15721 = -15625 + 17178 for c.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2470 and 64203230.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 3:57 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 78 = -438. Let h = -174 - g. Let m be 10*(-1 - 3\/(-2)). Sort m, h, 0 in decreasing order.\nAnswer: m, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*j. Suppose -3*q + j*q = -18. Suppose q*k = -3*k + 14769. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 4, f: 5, n: 1, o: 1, c: 3}. What is prob of picking 1 j, 1 f, and 1 o?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a century in decades?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215570?\nAnswer: 2, 5, 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*k = -15, -7*u = -4*u + k + 5. Suppose 2*l - 230 + 228 = u. Solve -5*o - 7*a + 2*a = 5, 2*o = -5*a + l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 4 - 4 + (4 - 4 + 2*l)*(-6 - 15*l + 6) + l + l**2 - l in the form f + s*l**2 + y*l and give s.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23276*i**2*k**3 + 120*i**2*k + 927*i*k**3 + 3*i*k**2 - 25*i*k - 5*k**2 wrt i.\nAnswer: 46552*k**3 + 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 w when four letters picked without replacement from {x: 2, s: 6, w: 2, c: 3, g: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 3 - 2) + (-15)\/27. Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.55977 millennia?\nAnswer: 955.977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*n*t**2 + 96*n*t - n - 279*t**3 + 286*t wrt t.\nAnswer: -186*n - 1674*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/8, 10, 4, 41?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 8:50 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-53928)\/10395)\/214*5\/2\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 7. Let a(v) = v. Let h be a(2). Suppose -4*k + 45 = -h*t + t, k - 14 = 3*t. What is the remainder when f is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/((-10)\/6))\/(4\/(-20)). Suppose 0 = 2*p + v - 21 + 1, 4*p - y*v = 30. Suppose 11*u - p = 10*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - u + 30 - 37 = 0, 5*f - u = -21. Let w = -1.1 + -2.9. Which is the nearest to f? (a) w (b) -5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**3*u**3 - 16*j**2 + 5*j + 76*u**3 - u**2 - 2 wrt j.\nAnswer: -9*j**2*u**3 - 32*j + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(-3\/5)*m)\/m*m**(-6))**(-12))**(15\/2) assuming m is positive.\nAnswer: m**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/8)\/(-1)*((-136)\/(-17) - 42). Solve 3*l - 17*k = -16*k + 11, 5*l - 2*k = n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:05 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1 + 22*h**3 + 94*h**2 - 95*h**2 + h + h. Is r(1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374 and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1162027408 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 16*b**2 + 12*b - 4. Calculate the remainder when s(-4) is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53 + -0.029605.\nAnswer: -0.559605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 103312033?\nAnswer: -103312123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqquqquu. What is prob of sequence quqq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/90*7\/((-686)\/(-21))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2324 - 2324. Let b(l) be the first derivative of 7*l**2 + f*l**3 + 0*l - 5 - 1\/4*l**4. Find the second derivative of b(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 3103.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 417286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u - 10*u = 0. Is -1 + u + 5641 - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = 8*r - 35. What is the tens digit of (51\/r)\/((-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -304*f**4 + 174*f**2 wrt f?\nAnswer: -7296*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -135268 greater than -135260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y - 87*y**2 + 2*y - 13*y + 59*y**2 + 32*y**2 in the form h*y**2 + f*y + s and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/7)*t**(-3\/5)\/t*t**(-16)*(t\/t**8)\/t*t assuming t is positive.\nAnswer: t**(-841\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**3 + 14*g**2 + 14*g - 9. Let r(n) = 4*n**3 + 7*n**2 + 7*n - 5. Let b(x) = -5*r(x) + 3*u(x). Let f be b(-5). Is 14 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 197405 and 552734?\nAnswer: 2763670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1051496, -1051492, -1051488?\nAnswer: -1051484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.85233 bigger than 14\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let b be (-344)\/(-43) - (7 - -1). Put -5, b, p, 10 in increasing order.\nAnswer: -5, b, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*r = 15007, 2*m - 1383 = -r + 28628. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29568655?\nAnswer: 5, 19, 409, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -26*g - 23. Let x be n(-3). Let c(v) = v**3 - 7*v**2 + 2*v - 9. Let z be c(7). Calculate the greatest common divisor of x and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 17*i**2. Let m(g) = -6*g**2. Let d(b) be the third derivative of b**5\/20 - 21*b**2. Let p(z) = -13*d(z) - 6*m(z). Determine w(p(k)).\nAnswer: 153*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + sqrt(2)*2 + 1) - (-1*sqrt(2) + 4))**2.\nAnswer: 10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000371662 to 6 dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {g: 9, c: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*s + 5*p, 0 = -26*s + 27*s + 5*p - 15. Which is the nearest to -2\/25? (a) -2\/15 (b) -1\/7 (c) 7 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 35. Let a be u(-16). Let s be 8\/6 - (1 + (-5)\/a). Suppose 4*i + 12 = b, -2*i + 4 = -4*b - 4. Sort s, 1, i in increasing order.\nAnswer: i, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000019565 rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300)*2*-2 - sqrt(1300)) + -3)**2.\nAnswer: 300*sqrt(13) + 32509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249920 and 45653?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/((-10)\/(-12)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*c = -1711*c - 13829 - 97503 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/21 + 4\/(-14). Let a(c) = -c**3 + 3*c**2 + 5*c - 1. Determine a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137743998 divided by -1029\nAnswer: -133862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888922065.\nAnswer: 3, 5, 29, 97, 21067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, 286.02, -2, 2, 2\/17 in descending order.\nAnswer: 286.02, 2, 3\/11, 2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31044 (base 7) to base 14.\nAnswer: 2a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 4, -20.\nAnswer: -45, -20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 6 + (-9 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 43 = -5*z, -4*k - 2*z + 194 = -0*z. Suppose 43*u - k*u = 0. Solve 2*l + u = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67763 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3588, 3.9, -0.5, 8\/7?\nAnswer: -3588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 5*u**2 + 5*u + 3. Let r(w) = -4*w - 21. Let q be r(-9). Let y be (2 + (-35)\/q)\/((-1)\/(-9)). Give d(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c - 188. Let n(x) = -6*x - 280. Give 8*g(p) - 5*n(p).\nAnswer: -2*p - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2160)\/432)\/(-1*(4*-1)\/(-8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 15520.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 681083000 to the nearest one million.\nAnswer: 681000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4363 + 4788. Solve 424*n = b*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 1. Let s be l(-1). Let g = -4 - -2. What is the nearest to s in 0, 0.3, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i + 1. Let q(k) = k**2 + 4*k. Let s be q(-5). Let y(d) = -d**3 + 5*d**2 + d - 4. Let n be y(s). Let h(m) = -3*m**2 - 3. Give n*h(v) + 2*g(v).\nAnswer: -v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**5 - 718750*r**4 - 10063120*r**3 - 51754240*r**2 - 115010560*r - 92008960 = 0.\nAnswer: -4, -2, 143764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -160165200 divided by 2135536?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3 + 23479*n**2 - 4*n - 17499.\nAnswer: 6*n + 46958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/60642548 and -9\/7.\nAnswer: 424497836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995*i - 78 = -1021*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7 (b) 122 (c) 1\/3 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-33))\/((22\/(-88))\/((-9)\/456))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**5)\/(u*u\/u**(-6))*u**(-1\/9)*u*u**(-3\/4))**(1\/2))**(6\/5) assuming u is positive.\nAnswer: u**(-67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 13*z + 90 = 0. Let a(f) = 2*f**2 + f - 2. Let q(l) = 8*l**2 + 5*l - 9. Give z*a(m) + 2*q(m).\nAnswer: -2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -20075001.\nAnswer: -20075010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/72 and 149\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-28)\/(-16))\/(3\/12) and 33\/(-12)*(4\/2 + -6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -408*d**5 + 730*d**4 + 8336*d**3 + 11504*d**2 + 1984*d - 96 = 0.\nAnswer: -2, -1\/4, 2\/51, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 187485 divided by -435\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104612756 to the power of 1\/2, to the nearest integer?\nAnswer: 10228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109424071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 3.744.\nAnswer: 4.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)\/v**(-5)*(v*v**(-4)\/v)\/v*v*v**(-3) assuming v is positive.\nAnswer: v**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -0.5, 1.3576, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/219436 and -101\/40501616.\nAnswer: 283511312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -9724?\nAnswer: 6806.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308 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: Which is smaller: 48098 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 1. Let i be z(-4). Suppose 3*l = -y + 9, -3*y + 11 = 4*l + l. Differentiate -6*d - 7*d**2 + l*d - i + 2*d wrt d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9*a - 6 + 14*a + 4.\nAnswer: 23*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -796*j + 1. Let y(i) = -799*i + 1. What is -4*o(r) + 5*y(r)?\nAnswer: -811*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14*k. Let s = -1 + 6. Suppose 4*i = -s*j + 9, 2*i - 3 = -i - 5*j. Let l(z) = 16 - i - 5*z - 10. Give -11*l(u) - 4*t(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t**5\/5 + 101112*t**4\/5 - 274534*t**3\/5 + 115608*t**2\/5 + 11560*t = 0 for t.\nAnswer: -7225, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q = -4. Let n(z) = 4 - q + 0*z - 3*z. What is the units digit of n(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o - 2*o - 7 + 2*o - 2*o - 4*o**2. Let d(r) = 2*r**2 - 2*r + 3. Calculate -7*d(h) - 3*w(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43a1 (base 12) in base 2?\nAnswer: -1110100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -17*g + 81. Let u(k) = k + 2. Let f(c) = -h(c) + 2*u(c). What is the derivative of f(n) wrt n?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 13*q - 5*c = -167658, 3*q + c = 251539. List the prime factors of q.\nAnswer: 191, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499714?\nAnswer: 2, 249857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23262548*d**3 + 46525086*d**2 + 23262528*d - 10.\nAnswer: 2*(d + 1)**2*(11631274*d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 + 60*s - 13570*s**2 + 27138*s**2 - 13573*s**2 to the form o*s**2 + n + b*s**3 + r*s and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(1672\/64))\/((-14)\/77)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/((-5)\/125)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178\/3*b**2 - 1588\/9*b + 352\/3 - 2\/9*b**3 = 0. What is b?\nAnswer: 1, 2, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmw when three letters picked without replacement from wmpw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 4*j + 12 + 3 - 21. What is h(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 387 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000206581061 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1. Let m(y) = 2*y + 14. Suppose 6*u + 4 = 10. Let d(x) = u*m(x) + 2*j(x). What is d(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Let q = v + 0. Solve b - 3*b = -4*z - 22, 3*b + q*z = -12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 83 = 5*g, g - 516 = -2*u - 506 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z)**(-30\/13)\/((z**1*z)\/z)**(-37)*(z**2*z)\/(z\/((z\/(z*z**1\/z))\/z))*(z\/(((z*z*z\/(z\/z**(-3\/11)*z)*z*z)\/z)\/z*z))\/(z**1\/z) assuming z is positive.\nAnswer: z**(5165\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 + 19856*l**2 - 158332*l - 1288560 = 0 for l.\nAnswer: -5, 13, 4956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k**2 + 137*k + 76. Calculate u(16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 8:23 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 5, 0.6, -0.5, -0.3, 0.07?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 13 = 4*s, -s - 16 = -2*a - 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -16*a - 1. Let n be y(3). Let d = n - -5. Is d\/(-2)*2\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 239351, 478678, 718005, 957332, 1196659?\n\"Answer: 239327*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -5 (c) -1\/6 (d) 28 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - r**2 + 3*r - 4. Let i be b(2). Suppose i = -z + 8*z. Solve 0 = z*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 2 + 3\/(-1) + -74 + 139.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**2 - 3*w - 18. Let a(q) = 6*q**2 + 4*q + 18. Let x(c) = -6*a(c) - 5*f(c). Let t be x(-7). Does 17 divide -2*14\/t*17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007258 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29830.\nAnswer: 2, 5, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102a4a9 (base 11) in base 13?\nAnswer: 4b7028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2142 - 444. Is -2588 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.037 - -0.017. Let n = -0.22 - x. Is n equal to 1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3178 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**3\/5 - 828*f**2 + 12446*f\/5 + 16584\/5 = 0.\nAnswer: -2073, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 1.02. Let u = -963\/7 - -138. Let g = 2 + -3. Which is the third biggest value? (a) w (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 26*z - 14 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/405*9*3\/((-6)\/(-234)*1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13203 - -13382) + 0 + -94?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34269 or -0.07446?\nAnswer: -0.07446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 0*j**4 - 27\/2*j + 0*j**2 + 15*j**3 - 3\/2*j**5 + 0 = 0.\nAnswer: -3, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + b**2 - b. Let t = 9224 - 9223. Let v(y) = 40*y**3 + 30*y**2 - 30*y. Calculate t*v(p) - 30*o(p).\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 6 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 41*v - 12. What is the tens digit of x(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*j + 62. Let v be (j\/(-6))\/(6\/18). Suppose 0 = -0*o - 4*o + 8. Solve o*a = v + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-3) - ((-16)\/(-3) + -4). Let b(d) = -8*d - 6. Let f(r) = -r - 1. What is j*b(p) - 5*f(p)?\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6591760 and 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64728)\/(-4495) - ((-8)\/50)\/((-22)\/55).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 1, m: 7, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-21 - ((-19 - -8) + 11)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - 3*n - 2*n - 3*n + 3*n + (-5 + 1 + 2)*(0 + 2*n + 0))*(-10 - 5 + 11).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5968588.\nAnswer: 2, 1492147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 526378?\nAnswer: 526378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4962763?\nAnswer: 13, 41, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/3 + 2 - -2. Suppose 0 = -0*b + b - 14. Suppose 4*d = -f + 10, 4*f - b = -4*d + 2. What is the nearest to 0.1 in a, d, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8011.973 rounded to the nearest 100?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16660359 to the nearest integer?\nAnswer: 4082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-30)\/9*(-66)\/304 and -49\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - w + 1. Let m be g(5). Let f = 17 - m. What is the units digit of (3 - 3 - -49) + f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97316*h**4*x**2 + 3*h*x**2 + 48498*x**2 wrt h?\nAnswer: -1167792*h**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17884*o - 35910*o = -17940*o - 1118 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18417 is divided by 169.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -266*p**2*w**4 + 53*p**2*w**3 + 32*p**2*w + 2*p*w + 516 wrt w?\nAnswer: -3192*p**2*w**2 + 318*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -3*a - 3, d - 2 = 5*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (19 + -19 - -13) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(250)\/sqrt(5).\nAnswer: 4 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11775126.\nAnswer: 2, 3, 11, 23, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 2*j - 1. Suppose -75 = -5*d + h, 4*d + 0*h - 76 = 4*h. Let m(b) = -b**2 + 15*b - 12. Let v be m(d). Determine s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - -19*6\/(-27)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/4 - 51262416*v + 875945098052352.\nAnswer: 3*(v - 34174944)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 13) to base 5.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 867 and 191029?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r - 9357*r**3 - 1595*r**2 + 1595*r**2 + 11*r.\nAnswer: -9357*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/92 + 110110\/299299?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**5 - 479493*y**4 - 1917939*y**3 - 2397411*y**2 - 958962*y = 0.\nAnswer: -159827, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -8 - (-16 - (6 + -18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -76. Let j = n - 49\/2. Sort -3\/4, j, -2\/17 in descending order.\nAnswer: -2\/17, j, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 16 + 40. Suppose -s = i - 4, 5*z - 2 = -4*s. Solve -v - 1 = 0, 0 = l + z*v - 3*v + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98783 is divided by 447?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -1 (b) 0.5 (c) -5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 0*g + 6 = -s, -5*g + 2 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 211 + 227 = -4*u, -3*k - 9 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78145500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 18 + 1 = p, 4*p - 12 = 0. Calculate the lowest common multiple of 2 + 0 + (-1 - -1) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.727598373+2.75\nAnswer: 4.477598373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141*b**4 - 151997*b**3*h**3 - 2*b*h**3 + 7*b*h**2 + 5*h**3 + 29437*h**2 wrt b?\nAnswer: -1692*b**2 - 911982*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a hour in minutes?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342287?\nAnswer: 3, 149143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788*j - 802*j - 2492 = 0. Is -177 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -41. Let d = 8 - l. Let h be (-1)\/(-9)*1*-1. Which is the biggest value? (a) h (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i - 4*i + 11*i + 0*i + 3. Determine x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*w**5 - 420931*w**4 + 4*w**3 + 723*w**2 + 28265*w wrt w?\nAnswer: 660*w**2 - 10102344*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82957167?\nAnswer: 3, 89, 103567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - -122. Let n = f - 151. Solve j + 16 = 4*j + 4*k, 5*j = -3*k + n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1149?\nAnswer: 1\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 321802 divided by 6\nAnswer: 160901\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 i when three letters picked without replacement from tttiiiiitt.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.82 - -10.61. What is a rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**7\/840 + x**6\/90 + x**5\/24 + x**4\/12 + x**3\/3 - 3*x**2. Let u(r) be the first derivative of v(r). Factor u(d).\nAnswer: (d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlq when three letters picked without replacement from {r: 2, q: 1, l: 2, z: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/5 - 14*z**2\/5 + 12*z\/5 = 0. What is z?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 7. What is the units digit of m\/7 - 288\/(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1846 + 2998. Is v less than 1152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5195 + 23083. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*h + 10, g - 2*h - 6 = -0*g. Let o be g*2 + (-2)\/(-1). Is 3 a factor of o + (2 - (1 - -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6586, 22488, 48990, 86092, 133794, 192096, 260998?\nAnswer: 340500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8207 = -f, 16392 = 16*f - 14*f - c. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 4, p: 6, f: 3}. Give prob of picking 1 p and 2 f.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 7*t. Is (t - 3)*2321*3\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 25*h**2 + 55*h - 30. Let n be v(27). Which is the nearest to 1? (a) 1\/6 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*z + 26*z + 2*z + 2 to the form q*z + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*w**2 + 896\/5*w - 892\/5.\nAnswer: -4*(w - 223)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**5\/5 + 2*p**3\/3 + 7. What is the third derivative of s(l) wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + q = 2*q + 12, 4*i - 12 = 5*q. Suppose -7*t + 15 = -4*t. Calculate the remainder when i is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 990, 989, 988?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -1624*v**4 - 3300*v**3 - 1168*v**2 + 1068*v + 560 = 0.\nAnswer: -1, -35\/58, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*y + 62. What is the remainder when y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12823*(-9 + -313) + 24\/4. What is i rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 332131*n + 5978277.\nAnswer: (n + 18)*(n + 1328506)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -32.01. Let y = -0.00999964 - v. Round y to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1 - 1 + r + 9303*r**2 - 8052*r**2 - 38751*r**2. Let n be a(2). What is n rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30891981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 2. Let u(i) = -7*i + 17. Let s be ((-72)\/(-84))\/((-1)\/7). Let m(w) = s*u(w) + 51*l(w). Let r(n) = -4*n. Give r(m(c)).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 + 5176*y\/5 - 63908.\nAnswer: -4*(y - 1229)*(y - 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3*j + 2. Let u be o(-3). Suppose 0 = 16*b - 10*b. Solve -5*x + 3 + u = b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1955786 and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 7776467009 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 10) to base 6\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19409, -77554, -174459, -310124?\nAnswer: -484549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73\/365)\/(9*(-3)\/10)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -28, -29, -30, -31, -32?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 - 610*n**3 + 1 - 2*n + 610*n**3 - 4*n**2 + 8*n**4 in the form f + p*n**4 + q*n**2 + a*n + u*n**3 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 27*m**2 - 36*m + 480.\nAnswer: 3*(m - 8)*(m - 5)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -401 - -4?\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421360?\nAnswer: 2, 5, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68.0417 - 168437.\nAnswer: -168505.0417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75317 is divided by 712.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 113. Let j = -71.8 + s. Let c = j - -22. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37457.\nAnswer: 7, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*i + 1 + (-3 + 2 + 3)*(i + 3*i - 2*i) - 2*i - 3*i + 2*i + (1 + 5 - 5)*(-i - 2 + 2) - 2*i + 4*i - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:57 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 216*l**2 - 184*l - 58. What is the tens digit of i(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451.0675ml to litres.\nAnswer: 0.4510675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 290 + -295 + -2 + -8 + 1 + 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.902582 + 174.492882. Let j = a + -171.5. Let q = -45.2097 - j. Round q to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, -145, -2, 0 in decreasing order.\nAnswer: 13, 4, 0, -2, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 119*v**3 + 117*v**3 + 3*v.\nAnswer: 236*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 226*k - 25837. Calculate m(115).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 1, z: 1, i: 1, r: 1}. What is prob of sequence ei?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*-2 + -5 - sqrt(77)\/(sqrt(252)*-2).\nAnswer: -191*sqrt(11)\/12 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 7*u**2 - 6*u - 5. Suppose -70 = 4*h - 6*h. Let z be 10\/h + (-40)\/(-7). Determine i(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*15\/105*(147\/(-9))\/1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -314830 divided by 14\nAnswer: -157415\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 + (-64 - -236) - (-2 + 1 - (-2 + 1))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.3 and 1.289.\nAnswer: 5.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*q = -3*q, 4*u = -2*q. What is the closest to 0 in 2, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -235, -741, -1717, -3319?\nAnswer: -5703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92467 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -8. Suppose -j - 2*t - 8 = 0, j = 4*t + 11 + 11. Let b = -81 + 892\/11. What is the fourth biggest value in b, 0.2, l, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1746291\/40 - -210292\/5. Let d = -1591 - l. Find the common denominator of -79\/75 and d.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1298 and -0.3.\nAnswer: 0.03894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*k = -304*k + 327672. List the prime factors of k.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + 11*j - 14*j - j**3 + j**2 + (2*j**2 - 4*j + 4*j)*(j - j - 5*j).\nAnswer: -8*j**3 + j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -351 - 1509. Let q = -54 + p. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2. Let l(c) = 9*c - 3. Let x(y) = -37*y + 13. Suppose -6*r = 72 - 228. Let p(k) = r*l(k) + 6*x(k). Calculate p(j(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 128478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-6) + 1\/3 - 95840\/35940.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -256 + 256.5. Is 0.06 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**5\/60 + p**3\/6 + 4*p**2. Let l(g) = 8*g**2 + 7. Let h(c) = -l(c) + r(c). What is the first derivative of h(z) wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5671*r. Let z(v) = 96*v**2 + 2. What is z(c(a))?\nAnswer: 3087383136*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w = -34*w - 18. What is the third derivative of 11*a**4 + 29*a**w + a**4 - 27*a**6 + 21*a**2 wrt a?\nAnswer: 240*a**3 + 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = -g. Suppose 0*v = v - g. Calculate the common denominator of (-3 + 5)*107\/v and -7\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 609 and 3625.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.031, -3419, 145, -0.2 in decreasing order.\nAnswer: 145, 0.031, -0.2, -3419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8.8, -2 in decreasing order.\nAnswer: -1, -2, -8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 967912, 1935884, 2903914, 3872002, 4840148?\n\"Answer: 29*l**2 + 967885*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11138*p**4 - 12660*p?\nAnswer: 133656*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21048)\/57882*((-22)\/4)\/((-1)\/(-19))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 144400713 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 44. Suppose -3*c + 5*s + 57 = 0, -4*c + 81 = -3*s + o. What is the remainder when 35 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29165, 29154, 29263, 29498, 29865, 30370, 31019, 31818?\n\"Answer: r**3 + 54*r**2 - 180*r + 29290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, 24, 0.1, -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 25 = -8*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 777 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*(-3 + (sqrt(192) + -4*2*sqrt(192))*6))**2 + 2)*3.\nAnswer: 96768*sqrt(3) + 16257462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:27 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 440.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/20 and -19\/450.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 10) in base 13?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.6 - -25. What is the third biggest value in -1, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 121*f + 29. Let d be b(10). Let c = d - 379. What is c rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 956821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Let x(k) = -10 + 6 + 5 - k + k**p. Give x(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y + 292. Let a = -39 + y. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869286345.\nAnswer: 3, 5, 31, 1869433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28136869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000159148904 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3 + 2196*o**2 - 1000497*o - 28555254 = 0. What is o?\nAnswer: -1043, -27, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - o = 8, o = 2*i - 4 - 8. Let d(m) = 28*m**2 - 7*m. Let c(s) = 9*s**2 - 2*s. Let g(k) = i*d(k) - 14*c(k). Let r(y) = 10*y**2. Calculate g(r(u)).\nAnswer: -1400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1241 - -2041. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) -5 (c) -2\/13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Let m = -2 - g. Let r = m + 8. Solve 0 = 3*l + r*w + w - 32, 16 = -l + 4*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 63*z**2 - 13*z + 602. Determine j(63).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.6 + 2.7. Let l = -5.09 - -0.09. Which is the closest to s? (a) -6 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-68 - -158) + 5 + -1 + -4)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -3, 1\/2, -5 in descending order.\nAnswer: 5, 1\/2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 404.\nAnswer: -1\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 10. Let h be j(-8). Suppose -6*n = -h*n - 32. Suppose 0*a + 4*a - 160 = 0. What is the highest common divisor of a and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32139, 64282, 96425, 128568, 160711, 192854?\n\"Answer: 32143*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171.2 + 166.2. Which is the nearest to -1? (a) 4\/7 (b) -2 (c) i (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 2*b**2 + 1. List the prime factors of f(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/15)*m)**44 assuming m is positive.\nAnswer: m**(1232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99535 divided by 3.\nAnswer: 99535\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 56*f - 3746. Let v be a(67). Put 4, -2, 68, 1, v in ascending order.\nAnswer: -2, 1, 4, v, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 36*c - 35*c - 17, -5*p - 2*c = -29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 0 - 249*h + 0 + 248*h to the form a*h + p + n*h**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*v = 3532 - 6076 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 30979 = -3*b, 5*b + 5*z + 2803 = 54443. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76859261033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 4*d + 3. Let y be 4\/((-3)\/6*-2). Let m be r(y). Solve -2*t - 4*h + m = h, 3*t = 4*h - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2. Let x = -369 - -384. Let c(d) = 377 - 187 - x*d**2 - 191. Calculate n(c(j)).\nAnswer: 675*j**4 + 90*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11095940 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200277 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160975?\nAnswer: 5, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 8. Is 6 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029978864 to 6 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 663\/2*(-3460)\/22490\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1244666?\nAnswer: 248933.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbwx when four letters picked without replacement from xyywxb?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + n**2 - 2*n. Does 4 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2 = 5*n, 5*t = -2*n - 28 + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 5\/(225\/(-132)). Let v = -36\/35 - d. What is the third biggest value in 3, v, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 1:12 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1223*i**3 + 7215*i**2 - 131736663*i wrt i.\nAnswer: 7338*i + 14430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -165467 minus -741.8225718?\nAnswer: -164725.1774282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 76*z - 72*z + 5968, -3*z = -3*o + 8970. List the prime factors of o.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(-4 - (3 - 1)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97711006.\nAnswer: 2, 37, 127, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 426 - 426. Let t = -135\/7 + 19. Put t, 1\/2, i in decreasing order.\nAnswer: 1\/2, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630 and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roeodwdeeebwwbo. What is prob of picking 1 e and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.118 times -31\nAnswer: 3.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 + -0.49. What is the smallest value in 0.2, 24, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3, -589, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54\/313 + 2091\/25979. Calculate the common denominator of -47\/3 and l.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 26*f - 11*f + 4*f + 20 + 13.\nAnswer: -33*f + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-11 - (-12 + 7 + -5 - 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14616 and 108.\nAnswer: 43848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1962*n**4 - 1964*n**4 - n**3 - 3*n**2 + 0*n + n - 4*n - 221 to x*n**3 + a + s*n**4 + j*n**2 + l*n and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11010 = -5*h, 3*p + h - 4*h = 11010. What is p rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 15) to base 9\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 0*k + k)*(-5 + 20 - 1) + 4 + k - 4 to the form u + a*k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.764614 hours to seconds.\nAnswer: 27952.6104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27473241)\/(-969) - (-30)\/(-190).\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 4*c**5 - 9*c + 2*c + (-3*c + 3*c + c)*(c**4 + 0*c**4 + 3*c**4).\nAnswer: 2*c**5 - 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-4*m + 3*m - 2*m) + 2*m + 3*m + 0*m + (-2 + 5 - 10)*(0 - m + 0) + 0*m + 3*m - m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 - 109251*z**3 - 4584573*z**2 - 48124125*z = 0. Calculate z.\nAnswer: -36375, -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-12)*-3 - -3. Suppose 0*k - k = 5*j + 14, -3*j - 7 = o*k. Let p(l) = 75*l**2 + l. Is p(k) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqq when three letters picked without replacement from qqkhkhhhn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 119*b**4\/12 + 50*b**2 + b - 30. Differentiate u(o) wrt o.\nAnswer: 238*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1848 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*a - 7180, -9*i + 13*i + a - 7195 = 0. Round i to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38623 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-10)\/(-2) - 1. Let u = -1 - y. Suppose 0*t + 34 = u*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (45\/(-10) + 4)*-2. Let y be 31 - ((1 - -1) + c). Suppose 0 = -k - x + 9, -3*k - 3*x - x = -y. Calculate the greatest common divisor of k and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.8537 + 2.4127. Let d = 13.441005463 + x. Round d to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.748851 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, -0.01, -3\/5, 2, 8, 1046?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 24 and -908009.\nAnswer: -907985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/2 + 5\/3. Let s(q) be the second derivative of -d*q**3 + 1\/12*q**4 + 0 + 2*q - 7\/2*q**2. What is s(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-10\/7))\/(t**(-1\/20)*t*t) assuming t is positive.\nAnswer: t**(-333\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 213.708969 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccec when four letters picked without replacement from ccce.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 440442 (base 5) in base 12?\nAnswer: 8902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 4\/7, -7, 0.329, -1.8?\nAnswer: 0.329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**2 + 3*y - 4. Let a be p(6). Suppose 851 = f + 2*g + 821, -16 = 4*g. Calculate the greatest common factor of a and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(24)\/sqrt(3))*6 + -4)**2.\nAnswer: -48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(32))*4 - sqrt(108)\/sqrt(6) - (sqrt(242) + 2*(0 + sqrt(242) + sqrt(242)) + (sqrt(242) + 1)*3))**2.\nAnswer: 618*sqrt(2) + 21227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1200166 and -91\/247214.\nAnswer: 793309726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2396 + 2396. Let f = 51 + -51.3. What is the biggest value in f, 0.2, -27, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2*n**3*t**3 - 2597*i**2*n**2*t**3 + 14*i**2*n*t**2 + 14*i**2*t**2 - 15*n**3*t**2 wrt t?\nAnswer: 12*i**2*n**3 - 15582*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 129840350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(114) - 1*sqrt(114)*-3)\/((sqrt(42) + (sqrt(42) - (sqrt(210)\/sqrt(5) - sqrt(42) - sqrt(42) - sqrt(42))))\/sqrt(7)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -3\/7, 0.6, -0.1, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.16+2752589882\nAnswer: 2752589881.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94756689067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i + 6. Which is the nearest to i? (a) -1\/9 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9929*a**4 + 56103*a**2?\nAnswer: -238296*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228471.\nAnswer: 3, 76157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1740 is divided by 340?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108 + -140. Let o = -32.52 - j. What is o rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(1\/18)\/(d**(-4\/7)\/(d**(-1\/3)*d))*(((d\/(d*d**(1\/5)))\/d)\/d*d)\/d*d**(4\/3)*(d*d**0)**(-2\/3) assuming d is positive.\nAnswer: d**(-221\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1125*q = -1104*q - 231. Suppose 8 = 2*c + 2*c. Suppose c*k = 108 + 18. Calculate the remainder when k is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-4))\/((-13)\/(-26)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f - 12. Let b be k(12). What is the greatest common divisor of b and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*w - 15, 4*w + 21 = 5*m. Let n be ((-2 - 1) + 3)\/m. Solve 5*l - 2 + 7 = n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 28, 37, 50?\n\"Answer: 2*l**2 - l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/7 - g\/7 - 6\/7 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/245*-10)\/((-18)\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261990.\nAnswer: 2, 3, 5, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 76.7917.\nAnswer: 4.607502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 126990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*1 + (-1*sqrt(231) + sqrt(231))\/sqrt(11))\/(sqrt(7) + (sqrt(7) - sqrt(28)\/sqrt(4))*6 - (sqrt(42) + 2*sqrt(42))\/sqrt(6)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 20490*k**2 + 750235*k + 4264050.\nAnswer: 5*(k - 4061)*(k - 42)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose z = -2*o - 1 + 5. Let n = 2416\/13 - 186. Which is the smallest value? (a) o (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - w - 6 - 5, -5*w - 7 = 4*c. Sort 1, -5, 4, c.\nAnswer: -5, c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*b**2*x**3 + 12*b**2*x**2 + 12834*b**2 + b*x - 4 wrt x.\nAnswer: 108*b**2*x**2 + 24*b**2*x + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -1. Calculate the remainder when 43 is divided by w\/(-4) - (-116)\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953730607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 <= 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 320? (a) -1\/4 (b) 0 (c) 10 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32, -2\/5, -8?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 2) + (17 - (4 - -7) - 9)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.05886 plus 0.6?\nAnswer: 18.65886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2414208, 2414213, 2414218?\nAnswer: 2414223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) 10\/11 (c) 3\/4 (d) -14 (e) -21.54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:51 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 2*c**2 + c**2)*(-9*c + 19*c + c**2 + 1 - 7*c).\nAnswer: 2*c**4 + 6*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 49. Let u(c) = -c**3 - c**2 + c - 4. Let o be u(-3). Let n = q - o. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*h = -134*h - 1173. Sort h, 4, -32 in descending order.\nAnswer: h, 4, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.013 + 21.987. Let v = o + -24. Which is the smallest value? (a) v (b) 1\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*s - 419 - 421 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43814 or 43830?\nAnswer: 43830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + y - 2. Let r be v(0). Let s = r - -3. Calculate the common denominator of 91\/22 and 53\/18 + s\/(-1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2 + 2 + 1 + 6*r. Is x(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 13 - 3 - 31*a - 26*a + 85*a - 24*a + 7. Let u(m) be the second derivative of -m**4\/4 - m. Calculate u(q(l)).\nAnswer: -48*l**2 - 408*l - 867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -1936?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.43 - -0.73. Is 2\/13 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/1)\/(-1 - 1). Let x be 1 + -3 + n + 2. Is 1\/214 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 2. Let v(f) = -2*f. Calculate v(a(c)).\nAnswer: 4*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 159*i**2 - 20*i**2 - 104*i**2 + 11*i**2 + 18*i in the form d*i + c*i**2 + n and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.287 - 136.287. Let l = 41.178219 + 94.82178604. Let b = l + m. What is b rounded to 7 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -21*r - 10. Let p(h) = 4*h + 8. Let b(a) = -17*a - 36. Let z(g) = -2*b(g) - 9*p(g). What is n(z(q))?\nAnswer: 42*q - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6456*n - 7058*n - 13846 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 11118 = -98*v + 91*v, -3*v - b + 4762 = 0. Calculate the greatest common divisor of v and 671.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - -18. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11882d (base 15) in base 5?\nAnswer: 203320333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 53*v = 54*v + 19, 2*n + 5*v = -6*n - 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 21888247?\nAnswer: 21888247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39616 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -9. Let m be 35\/28 - p\/8. Sort m, 5\/3, -3 in increasing order.\nAnswer: -3, m, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6)*2)\/((-1118)\/(-258)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80775 - 342950 = -25*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5301680 is divided by 386.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 68664597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*p**3 + 67 - 67 + 4*p.\nAnswer: -197*p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -202 divided by -2\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, -77, -2\/13, -2\/7, -0.03, 2\/3?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*(0 + sqrt(2))*2.\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -16*c**2 + c + 42. Let v be s(-1). Let a = v + -33. Which is greater: a or -2.9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 8 - 3)*(-3*m + 0*m + m)*(-1 - 3 + 2 + (3 + 5 + 2)*(3 + 0 + 0)) in the form c*m + z and give c.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 7. Let z be -2 + 0 + 6 + n. Suppose 0 = 4*o - 3*k + 19, -4 + 15 = -o + z*k. Sort -4, 8, o.\nAnswer: -4, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 228.1 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210\/13 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/7)*h*h\/h**16*h assuming h is positive.\nAnswer: h**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 38.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135 + 258. Let m = 139 - v. Which is the smallest value? (a) 2 (b) m (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0529, 2, 6.88, 0.12?\nAnswer: 6.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35 - 0.2. Let k be ((-33)\/(-6) - 7)*5\/135*-6. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -7*v - 3. Put v, 4, -2 in increasing order.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -39027*a**2. Let f(p) = -p - 19. Determine f(x(z)).\nAnswer: 39027*z**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by -5\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11250074, 11250057, 11250022, 11249963, 11249874, 11249749, 11249582?\nAnswer: 11249367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 17*z**2 + 21*z - 5. Let k be m(16). Suppose -5*g - k = -5*o, 95 = 5*o + 3*g + 28. Calculate the highest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -675840 (base 9) to base 13\nAnswer: -1121a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -1 + -2 + (-9 - -20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, 62, 233, 566, 1115, 1934, 3077?\n\"Answer: 9*w**3 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-117)\/(-260))\/((-3)\/(-8)))\/((-2295)\/(-425)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + c**3 - 2*c**3)*(c**2 + c - c) + c**2 - 2*c**5 - c**2 + c - c - 2*c**5 + (-c + 0*c - 4*c + (0 - c + 0)*(-4 + 1 - 1))*(c**4 + 9*c**4 - 45*c**4).\nAnswer: 30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124 - 74 - 86)*(-3*i - 29*i - 109*i).\nAnswer: 5076*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.580289 litres to millilitres.\nAnswer: 580.289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Suppose x - 10 - 2 = h. Calculate the smallest common multiple of x and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 3, b: 2, e: 1, y: 3, t: 2}. Give prob of picking 1 d, 2 y, and 1 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 616757.3mm in centimeters?\nAnswer: 61675.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-55)*10\/(-35)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.071 + 0.971. Which is the nearest to -2? (a) 5 (b) -0.19 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9107 or 236819\/26?\nAnswer: 236819\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011523683 to seven dps.\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*g = -0*g - 6, -2*g = 3*v - 10. Suppose -v*j = 2*j. Suppose -2*b - 10 = -j*b. Let y(o) = -o**3 - 6*o**2 - 7*o - 3. What is y(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3860125 to three decimal places.\nAnswer: 0.386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 3*h**2 + 3*h + 3. Let c be q(-2). Suppose c = -d - 0. Let t(p) = 4*p**2 + p. Let i be t(d). Solve -4*r + 4 = i*z, -5 + 3 = -2*z - 2*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-59)\/(590\/90) - (-3 + -1). Sort 6, -0.3, i, -1, 11\/5 in ascending order.\nAnswer: i, -1, -0.3, 11\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 - 3 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b**2 + b - 6. Suppose z = a - 6*a - 9, 0 = -4*a - 12. Let t(m) = 9*m**2 - 2*m + 5. Let g(n) = z*t(n) + 5*l(n). Give g(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**2 + 4 - 4 + (2*u + u - u)*(0 + 0 + 1)*(3*u - u + 2*u) in the form b + z*u + d*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -243 less than or equal to 3035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/155 and -81\/40.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -1\/7 (b) 0.6 (c) -2 (d) -162\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 48721*t + 581. Let j(o) = -420*o - 5. Let n(p) = 581*j(p) + 5*s(p). Let u(c) = -2*c**2. What is u(n(h))?\nAnswer: -344450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*n + 251*n + 70 = 0. Let o(w) = 339*w - 26. What is the hundreds digit of o(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593396350?\nAnswer: 2, 5, 2473, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1114837.42 to the nearest 100.\nAnswer: 1114800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90888 - 272682 + 90889 - 992*k + 90905.\nAnswer: -992*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 54.87771um?\nAnswer: 0.00000005487771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498329, -996611, -1494893, -1993175, -2491457?\nAnswer: -2989739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1704 and 31959372?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Divide -582248 by 49.\nAnswer: -582248\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*z - 20, -7*t + 3*z = -10*t + 84. Which is bigger: t or 31?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d. Let p(a) = -10*a + 10*a - 5*a**2 - 6*a**2. What is p(i(o))?\nAnswer: -176*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -6550.\nAnswer: -6553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1321*y = 1310*y + 11891. What is the remainder when y is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2285695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1390 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -23626.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 52300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*b + 21*b = -228. Suppose 0*v + 122 = 2*v. Calculate the remainder when v is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.3, 7\/3, -2\/25, -0.01, -3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -848733893 divided by 121247699\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4756 divided by 29\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-16)*-2 - (-117)\/156. Let q = -75 + 59. Let h = 13 + q. What is the fourth smallest value in h, x, 1, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011263 to six dps.\nAnswer: 0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21929.963572 - -21930. Round a to three decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5491 - 5491 - 39*m**3 + (2*m - 3*m - 3*m)*(-m**2 + 2 - 2).\nAnswer: -35*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t - 3*t - 3*t)*(-2*t - 5*t + 5*t) + (2*t - 2*t - 3*t**2)*(-3 + 1 + 1) + t**2 + 0*t + 0*t + 3*t**2 + 8*t**2 - 15*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5089, 11818, 23041, 38764, 58993?\nAnswer: 83734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4073323580 - 0.0407?\nAnswer: 4073323579.9593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 4}. What is prob of picking 2 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-2) + 2)*(143 - 146). Is 18 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.026 (b) -178 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((2\/1)\/(-2))\/(2\/(-4)). Suppose 5*c = -h*c + 462. Calculate the lowest common multiple of c and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-12 - -9) + (7 - 4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 9*f**2 - 4*f + 17. Suppose 4*i = -4*j - 52, -2*i + 5*i + j + 31 = 0. What is the remainder when z(i) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -341, -489, -631, -767, -897, -1021?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219273*l**3*q + 13870*l*q - l wrt l?\nAnswer: -1315638*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 9. Suppose 93 = 3*g - o*l, -41 = -4*g + 2*g - 5*l. Let k be 38\/14 - (-8)\/g. Solve 12 = -k*j, -2*j - 2*j - 12 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 341276 in increasing order.\nAnswer: -4, 1, 341276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/25 of a micrometer?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 16*r + 2. Let v be k(8). Suppose -9 = -3*z - 90. Let i = z - -79\/3. Put i, -13, v in increasing order.\nAnswer: -13, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 12. Let r be b(-11). Let w be -1 + r + -7 + 9. Is 22 a factor of (-11 - -3)*(-11)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2)*h*h)\/h)**47)**6*((h**(-2))**(-8))**46 assuming h is positive.\nAnswer: h**454","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 10 + 67 + (68 - 93).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w + 4. Let o be (3 - 8) + 2 + -2. Let j(p) = -11*p + 8. Let q(l) = o*v(l) + 2*j(l). Is q(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -13 + 4 - (1 + 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*i**3*q - i*q - 5981*q wrt i?\nAnswer: -45*i**2*q - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*a = 5*a + 20, -4*a + 51 = -5*x. Let l be 5 + -5 + (0 - -6). Sort l, x, -3 in descending order.\nAnswer: l, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4)*(u\/(u*u\/(u*u**(-7)\/u)))\/u*u*u)**(-13) assuming u is positive.\nAnswer: u**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r + 48. Let o(j) = j - 9. Let b be o(r). Let n(t) = -5 + 3 - 2*t**3 - 3*t + 1 + t**b + 3*t**2. What is n(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-14)\/105)\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414000 = -20*k + 23*k. Round k to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13*j**2 + 3*j - 4. Let o(u) = 5*u**2 - u. Let s(i) = 3*o(i) - r(i). Determine s(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 10:46 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -37. Put 10, 4, 3, b in decreasing order.\nAnswer: 10, 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 4:00 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 14480?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332*p + 147*p - 157*p)*(-8*p**2 + 8*p**2 + 7*p**3 + (-1 + 1 + p)*(-2*p**2 + 4*p**2 - 3*p**2) - 3*p**3 + 0*p**3 + p**3 + p**3 - p**3 + 2*p**3).\nAnswer: 1932*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 2 - 2 + (2*f**3 - 2*f**3 + f**3)*(5*f - 8 + 8) + (1665*f**2 - 1665*f**2 - 1622*f**3)*(-1 + 1 - f).\nAnswer: 1629*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -48*x. Let u(j) = j. What is u(w(n))?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5995 = 5*y + 5989, 5*j + 3*y - 15 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 + 0 - -58 - (6 - -5)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*p + 3*m, 2*p - 2*m - 3 + 5 = 0. Let s(u) be the first derivative of -5*u**4\/4 + 4*u - 76. Let q(w) = 4*w**3 - 3. Determine p*q(n) + 3*s(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 23*j. Let g(w) be the third derivative of w**5\/60 + 7*w**2. What is g(u(k))?\nAnswer: 529*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pay when three letters picked without replacement from qpqayygawaaqqw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 103a2 + 4?\nAnswer: 103a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1808 - -2265. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 33 + 1 - 5) + (63 - 66)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -143.8?\nAnswer: 287.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/25)\/(11 - 3836\/350)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 6. Let h be n(-4). Suppose -3 - 3 = -x - 5*f, -x + 2 = f. Let z(b) = b**2 - 2. Let w(i) = -4 - 1 + 4. Determine h*w(v) + x*z(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1244 divided by 79463.\nAnswer: 1244\/79463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2769, -11096, -24977, -44412?\n\"Answer: -2777*d**2 + 4*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.83719 + -36.41719182. Let z = 0.74 + -0.16. Let f = n + z. Round f to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -23*p - 23. Let l be 4 - (13 - 10)*p\/9. Let g(a) = a**2 + 9*a + 12. Let x be g(-8). Which is greater: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 55. Let h be c(-21). Suppose 2*x = 94 - h. What is the remainder when 520 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 166015730 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:30 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(1*9\/(-6)). Let j be (f\/8)\/(1\/(-20)). Calculate the greatest common divisor of j and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 15 + 3. Let n(f) = -2*f + 5. Let c be n(5). List the prime factors of c\/j*-3*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 5*i + 133. Put i, -1, -37 in descending order.\nAnswer: i, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 - -152. Let n(o) = -11*o - 11*o**2 + g*o - 11*o**2. Let q(l) = -l + 3. Let r(z) = -z + 1. Let m(i) = q(i) - 3*r(i). Determine m(n(f)).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 6*j**2 + 7 - 7 + 54*j**2 as a + s*j**2 + g*j and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/21 - 10\/(-24))*(-4 + 408\/30).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133869870 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/5 + 5186814*z**3\/5 + 41494426*z**2\/5 + 108922794*z\/5 + 93362364\/5 = 0.\nAnswer: -2593399, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/7 + 5830*z**2\/7 - 17516*z\/7 - 23344\/7 = 0. What is z?\nAnswer: -2918, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4711 + -4711.13. Which is the third biggest value? (a) -2\/3 (b) 1\/4 (c) -0.3 (d) p (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03734 - 1.60286. What is m rounded to 2 dps?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 36\/(-18) + 7. Which is bigger: -3\/1555 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 51) + 33 - (-23 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1187316153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 + 6571*g**2 - 52571*g\/4 + 13143\/2.\nAnswer: (g - 1)**2*(g + 26286)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 - -1.3. Let r = w - 0. Let x = 7 + -4. What is the third smallest value in x, -1\/4, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 3*y = 36, -6*y + 2 = -5*y - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1798 = 3*i - 2*h, 5*h = 8*h - 3. Let a = 1411 - i. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197489?\nAnswer: 3, 399163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76 + -49?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55, -77, -113, -163, -227?\n\"Answer: -7*u**2 - u - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4*(-2)\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -374 - 372 - 371 + 723*g + 1117 as i + n*g and give n.\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9725 and 1225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.64831l to millilitres.\nAnswer: 88648.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 32. Let c = 37 + q. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1753568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 15*i**2 - 3*i - 1. Let a be p(7). Let s = a - 20. Solve w + 4 = s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*y - 17814170 = -115*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242 + 515?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1722 is divided by 273?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 17. Let y(c) = c - 1 + 4*c**q - 5*c**2 + 2*c**2. Let g(l) = -l**3 - 2*l + 3. Give g(h) + 2*y(h).\nAnswer: -h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -135*k + 21876. What is s(162)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107833699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32043, 32057, 32105, 32205, 32375, 32633, 32997, 33485?\nAnswer: 34115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 420 + -418. Factor 3362 + 21*w**2 + 164*w - 48*w**2 + 29*w**p.\nAnswer: 2*(w + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/(-18))\/((-1)\/3). Let m(g) be the third derivative of -g**4\/12 + g**3\/3 + 3*g**2. What is m(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 863.68 - 863.69. Let i = -6 - -3. Let z be (i\/(-2))\/(9\/8). What is the third smallest value in 1\/7, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*s = 20, 3*k + 8*s - 12 = 5*s. Which is smaller: k or -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1343*j - 1315*j = 2772. Suppose v - 4*v = -5*c + 116, -3*v = 2*c - 59. Calculate the remainder when j is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 - -95. Let q = -51 - n. Which is bigger: q or -3\/14?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + (-65 - -90 - 41)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 527.0083 + -527. Let f = n + 2.9917. Which is smaller: -22 or f?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445918.\nAnswer: 2, 11, 20269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 2:28 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (101061 + 1041*j - 7301*j - 101061)*(-2*j**3 + 4*j**3 - 3*j**3) to the form t*j + n*j**2 + k*j**3 + u*j**4 + p and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 643 = -753 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 920*y - 916*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 325 - -3\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.8 - 32. Sort 3\/2, 2, t, 0.\nAnswer: 0, t, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o*u**2 - 2092*o*u*z**3 + 2*o*u*z - 100*u**2 + 9*u*z**3 with respect to o.\nAnswer: -4*u**2 - 2092*u*z**3 + 2*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4\/11 + 2473910*u**3\/11 - 2473920*u**2\/11 - 9895640*u\/11 + 9895648\/11 = 0.\nAnswer: -1236956, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-14)*2)\/((-2277)\/(-10626))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2. Let d(r) = 81*r**2 + 2. Determine y(d(u)).\nAnswer: 13122*u**4 + 648*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(7) + sqrt(2) + -2 - (sqrt(2) + -2 + 0))**2 + -3)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5790.441 micrograms?\nAnswer: 5.790441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 3*s - 23. Let x = -32753 + 32767. Give o(x).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 1432663431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o**5 + 13*o**5 - 3*o**5 - o**5 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 7*h**2 - 7. Let l be 0*1\/(-4) - 49. Let p = l - -42. What is u(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - y - 315 = 0, -3*v - y = -6*v + 236. Sort -1, v, -5, 0 in ascending order.\nAnswer: -5, -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38201142 and 714.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.9 - -6.9. Let z = 6 + 2. Suppose 4*y - 5*l = z*y + 14, 4*y + 6 = -l. Which is the second biggest value? (a) u (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*o**3 + 24*o**3 - 142*o**3 - 5*o - 76*o**3 + 3*o - 13*o**3.\nAnswer: -424*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -16. Suppose 0 = 3*q + 2*y - 6 - 4, 5*q + 15 = j*y. Solve -o - o - 6 = q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/11, -2\/3, 2444, -0.3, 1, 2\/3, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*x + 7 + 11, -2*q + x - 9 = 0. Calculate the remainder when 43 is divided by q\/(-9)*(53 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1069 or 2264?\nAnswer: 2264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 677 + 440. Let s = -108 + 122. Suppose -1025 = -s*c + p. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6080977 is divided by 1722.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165544 (base 7) to base 5.\nAnswer: -2030310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8500004*x - 10. Let y be v(-4). Suppose 0 = -4*t - 3*w - y, 4*t + 42499994 = -t + 3*w. What is t rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-790*c**2 - 56*c**2 + 245*c**2)*(-4 + 3 + 2).\nAnswer: -601*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 16*v - 3. List the prime factors of b(18).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138987, 139576, 140165?\nAnswer: 140754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6)*(2\/(-6) + 1). Let y be (-36)\/24 - (q + 0). What is the nearest to -0.1 in 1, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 15.09206967394.\nAnswer: 15.09206967394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/((-225)\/81) + -6. Which is the closest to 1? (a) 0.12 (b) 6\/13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400 divided by 6?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*p**4 + 10*p**2 - 88492*p + 354128103?\nAnswer: 96*p**3 + 20*p - 88492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 81 - 63. Find i, given that -2*i**4 + l*i**5 - 10*i**3 + 32*i**2 + 8 + 16*i - 66*i**2 + 36*i**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 7. Let k(z) = -2*z - 20. Let y be k(-7). Let p be y\/(-18)*18\/10. Which is the closest to -2\/11? (a) d (b) -2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 12 - 31 + (-15 + 1 + 0)*(2 + 2 - 2))*(2*c + 3*c - 2*c + (2*c - 4*c + 0*c)*(2 + 3 - 3)).\nAnswer: 64*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-90)\/40)\/((-9)\/2))\/(2\/12). Solve 57 = -4*i - t*u + 62, -3*u + 9 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.982 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 1435*c + 264138. Determine h(-165).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 245?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.1 (c) 0 (d) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/95547 and 151\/191094.\nAnswer: 191094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1248, 1383, 1598, 1887, 2244, 2663, 3138?\n\"Answer: -c**3 + 46*c**2 + 4*c + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -2 - (-1 - -4) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 40?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4569329, 3, -3 in decreasing order.\nAnswer: 3, -3, -4569329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96450749 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3888 = 11*s - 21819. Suppose -8*g - s = -11*g. List the prime factors of g.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-3))\/((-2)\/6). Suppose -4*y + 10 = -r + 3*r, 2*r + a = y. Suppose -3*f + 3*w - 6*w = 6, 4*f - 7 = w. Put f, y, 8, -5 in decreasing order.\nAnswer: 8, y, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -c14a91?\nAnswer: -c14a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249 + -402043.\nAnswer: -401794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 26*f + 2. Let j(x) = 8*x. Let c be j(1). Let z = c - 5. Let s be w(z). What is s rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*t - c**3 + 5*c**2 - 43*c*t - 3*c wrt c.\nAnswer: 18*c*t - 6*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*t**2 - 116*t**2 - 115*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - u - 5 - 1, -3*m + 3*u = -12. Suppose -3*c - 155 = m*c. Let r = -10 - c. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.3 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5496494 * 0.14\nAnswer: 769509.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*2 - ((sqrt(114)*-2 - sqrt(114))\/sqrt(6) - sqrt(19)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.7043 - -63944?\nAnswer: 63931.2957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*v - 6, -2*l + 2*v - v = 9. Let p = 72.995 - 73. Let j = p + 0.405. Sort l, 0.5, j in increasing order.\nAnswer: l, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(3*a - 3*a - 2*a**2 + (2*a + 1 - 1)*(-a + 3*a + a))*(-6*a**2 + 4*a**2 - 9*a**2).\nAnswer: 88*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 1175 = 23*r. Suppose 4*q - 7 = -2*t - t, -t = -q - 7. Suppose j - r = 4*k, -2*j + 1175 = 3*j - t*k. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 3. Let d be x(-4). Let b(c) = -c**3 - 6*c**2 - 6*c + 2. What is the least common multiple of 11 and b(d)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/9511 and -4\/11.\nAnswer: 104621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((129\/(-36))\/(145\/(-1740)))\/1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -62\/3109581 in increasing order.\nAnswer: -5, -3, -62\/3109581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrbsrtrrsrrbr. Give prob of picking 2 s and 2 b.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282554 is divided by 1766?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/9 and 29\/29567?\nAnswer: 266103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 763, 1726, 2791, 3940, 5155, 6418, 7711?\nAnswer: 9016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153 (base 6) to base 7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 26564404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1053*z + 3512. List the prime factors of u(-3).\nAnswer: 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541042562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -136, -252, -376, -514, -672, -856?\n\"Answer: -q**3 + 2*q**2 - 115*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - 3*h**3 + 2*h**5 + (-3 + 4 - 6)*(3*h - 3*h - h**5).\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 440, 598, 788, 1010?\n\"Answer: 16*r**2 + 110*r + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 - 9*h - 6. What is the units digit of g(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 14 = 3*m, -4*m + j + 9184 - 9170 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -5*l + 3*n, -n + 2*n = -l + 28. Suppose 5*m - 19 = 1. Suppose 5*u - 479 = -t, m*u + t = 3*t + 386. What is the remainder when u is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2028 + 861. Let t = b - 459. Let f = t + -288. What is the highest common divisor of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flvffnlnnl. Give prob of sequence lfff.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*m + 14. Let a be 43\/39 + m\/21. Let b = a + -4\/39. What is the second biggest value in b, 3, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27910 - f**3 + f - 14173 - 14019 as t*f**2 + d*f**3 + c*f + b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + d**3 - 7*d - 13*d + 26*d + 4*d**2 - 2*d**3 - 30 as s*d + l + i*d**3 + o*d**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m - 4. Let f be i(5). Suppose 0 = -s + f*s - 15. Solve 0 = -6*c + s*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3421930?\nAnswer: 2, 5, 17, 20129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 - -80. Sort 2\/9, r, -5 in decreasing order.\nAnswer: 2\/9, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408910710 + -0.4.\nAnswer: -408910710.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) + 3\/6. Suppose o + o + 22 = -2*r, 0 = -3*o - 5*r - 31. Let v(j) = -j**2 - 12*j + 3. Let s be v(o). Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 + 153 - -1)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5896688 and 2516.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -3, -13, 818 in descending order.\nAnswer: 818, 1, -3, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14 = -2. Solve 0 = -2*q - 4*y - 24, 0 = y - t*y - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, i: 7}. Give prob of picking 3 z and 1 i.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 - 1. Let l be f(1). Let j(h) = h**2 - h - 2. Let q be j(l). Let v(n) = -3 + n + q*n - 2. What is v(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 4*p. Let t be h(2). Solve -3*g - 2 = z + 12, -5*g = -2*z + t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z. Suppose 3*d - 5*h = -2, -d - 1 = 4*h - 6. Let t(w) = 4*w**2 + 3. Let m(o) = -o**2 - 1. Let c(a) = d*t(a) + 3*m(a). What is c(j(v))?\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from {a: 10, y: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/27500 and -149\/48240.\nAnswer: 66330000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 + 111 = -20*z + 4 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 + 63.92. Let m = 0.08 + c. Let w = m + 13. What is the third biggest value in 1, w, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000248 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33143244 divided by 8285811.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1691594 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 6*x**2 + x - 30. Let u be m(-7). Suppose -266 - 1390 = -u*i. What is the remainder when i is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.046529um in meters?\nAnswer: 0.000009046529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.9, 5, 1\/2, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4592 by 7.\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 9 = 0, 2*i + 45 = 7*i - 5*x. Does 22 divide 518\/i + 10\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-20) + 80\/100\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 10 - 4 + 1 + 3 - 3 + (-1 + 2 - 3)*(1 - 1 + 2))*(p - 2*p - p).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 38798388?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.10795\nAnswer: -0.010795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19170\/(-9))\/(6\/(-80)). Round i to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/5 + 392*n**4\/5 - 4074*n**3\/5 + 9448*n**2\/5 - 5768*n\/5 = 0.\nAnswer: -206, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4372496 (base 12) in base 2?\nAnswer: -110000111110101100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 8*g**3 + 11 - 26 + 37*g**3 in the form i*g**3 + c*g**2 + w + s*g and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/4 (c) 7\/115 (d) -3 (e) -0.5 (f) 28 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m**2 + 4117*m - 8883. Give q(-414).\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a - a - a + (-5 + 0 + 3)*(-3*a + 3*a + 2*a) + 29*a + 214 - 214 as w*a + k and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 8, s: 1, f: 3, v: 2, c: 3}. Give prob of sequence sc.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1696343 is divided by 1174?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135 + 0?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*t + 5*t - 11, 0 = i - 3*t + 14. Let v(x) = -x**3 - x**2 + 8*x + 7. Is v(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 665 - 3354\/5. Calculate the common denominator of t and 43\/93.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 5 (b) -1\/26 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + 0*k**4 + k**4 + (2*k**4 + 0*k**4 - 3*k**4)*(-3 + 1 + 3) + 2*k**4 - 3*k + 3*k - 7*k**4 + 4*k**4 - k**4)*(-2*k + 3*k + 2*k).\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 25 (b) 0.4 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 2866?\nAnswer: 2846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 461*x - 14. Let q(r) = -2302*r + 75. Calculate -2*q(j) - 11*t(j).\nAnswer: -467*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 6. Suppose 0 = 2*n + 3 - 27. Let r(t) = 2 - 20*t - n - 2*t. Let z(f) = 7*f + 3. Give h*r(w) - 16*z(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 8*m**2 + 7*m - 9. Let s(c) = 4*c + 3. Let f(g) = 2*g - 19. Let l be f(8). Let d be s(l). Is t(d) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9911.997mm to micrometers.\nAnswer: 9911997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Suppose 4*q - 2 = 14. Suppose 3*v - v = q. What is the remainder when v is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 27 + 11. Suppose p*o + 4*o = 11224. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 116\/(-4))*(-84 - (77 - 160))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + i. Let x(h) = -h**3 + 3*h**2 - 8*h + 1. Let a(c) = 3*m(c) + x(c). What is the remainder when a(4) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/182 and -63\/286.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - -0.5. Let r = -1\/6 - -1\/2. Let n = -3.6 - -4. Which is the nearest to z? (a) 5 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 4*y + 6. Let t be c(-7). Is 41 a factor of (-1354)\/(-3) - (-7 + 198\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 156*k**3 - 572*k**2 - 420*k.\nAnswer: -4*k*(k + 1)*(k + 3)*(k + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 15*v**3 - 51*v**2 - 164*v - 34. Let k(h) = -6*h**3 + 20*h**2 + 66*h + 13. Determine 13*k(g) + 5*l(g).\nAnswer: -3*g**3 + 5*g**2 + 38*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(3\/7)\/x)*x\/x**(5\/3))**(-32))**(-39) assuming x is positive.\nAnswer: x**(7904\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 3*p**2 - 4*p - 4. Let v(f) = f**3 + 4*f**2 + 5*f + 5. Let l be -7 + (7 - 4) + 0. Give l*v(x) - 5*h(x).\nAnswer: x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1)\/(m**(-2\/9)\/m)*((m*(m*m\/(m**(4\/7)\/m)*m)\/m)\/m)\/m*m*m**(-1\/11) assuming m is positive.\nAnswer: m**(3853\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3255 and 77786471.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oztzzzzzotttoot. Give prob of picking 2 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 1. Let m(k) = -4*k - 3. Let x(d) = 4*m(d) + 10*y(d). Let z = 2594 - 2590. Calculate the remainder when x(2) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y - 8. Let a be d(7). Let s = a - 41. Suppose 2*x - 14 = -s*o + 3*o, -x = 1. Solve 0 = 5*m - 2*w + 23, 3*m + 4*w - 3 = o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 16. Suppose 0 = 2*i + 2*i - 12. What is the common denominator of i*(16\/12 - p) and -18\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10024136 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.4 - 9. Put 2\/13, -0.1, g in decreasing order.\nAnswer: g, 2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f - 91. Determine t(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -21\/2, 0.2, -5, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*d**4 - 447032 - 447025 + 893884 + (3*d + d - 2*d)*(0*d**3 - d**3 + 2*d**3) as f*d**4 + u*d**2 + v*d**3 + o + s*d and give o.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:12 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 613296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1326*n + 11941. What is a(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38811.9999981139 - -38812. What is t rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 119784988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 + 35*o + 14. Let y(s) = 1. Let d(h) = -c(h) + 4*y(h). Let j be d(9). Let n = -0.1 - 0. What is the closest to n in j, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, 6, 1\/2, -5 in decreasing order.\nAnswer: 6, 1\/2, -0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/165)\/(66\/(-52800)*-32)\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*i - 76, -2*i = 2*i + 4. What is the greatest common factor of 261 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, 4, -5, 7 in descending order.\nAnswer: 12, 7, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -3482335\nAnswer: -6964670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:23 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(1\/(-12)) + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -2 + 3)*(-15 - (9 + -23))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 26 = -v. Suppose -2*h + 4 = -8. Calculate the lowest common multiple of h and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5538723 rounded to 2 dps?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 416327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4)**(-18\/11) assuming p is positive.\nAnswer: p**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1287 is divided by 80?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*m + 7*m**2 - 41*m)*((3*m + 0*m - 4*m)*(4*m - m - 2*m) + m - m**2 - m - 1199*m + 1199*m - 20*m**2).\nAnswer: -154*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5102, -5104, -5106, -5108, -5110, -5112?\nAnswer: -5114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**3 - 13*i**2 - 20*i + 38. Let p(r) = 15*r**3 - 27*r**2 - 44*r + 81. Let f(h) = -6*p(h) + 13*t(h). Give f(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25886926036 rounded to 3 dps?\nAnswer: 0.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 + 128*k**4 + 2170*k**3 + 3844*k**2.\nAnswer: 2*k**2*(k + 2)*(k + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3913255?\nAnswer: 5, 53, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 6:53 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = i + 2*z + 3, 5*i - 21 = 2*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -24. What is the nearest to l in 0.2, -1\/2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40.8 + -0.2. Let z = -41 - w. What is the closest to 0 in -0.1, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.8 + -33. Let b = 4.9 + l. Round b to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -420*q - 1377*q - 8 - 6274*q. Is p(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2991*j**2 - 8969*j - 44223966.\nAnswer: 5982*j - 8969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1600980964787\/65997 + -24258390. Let s = -8561065445\/923958 - n. Let l = -9273 - s. Find the common denominator of l and 101\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -12) + 10 + 8 + (2 - -16).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2405274 or 0.05?\nAnswer: -2405274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/3*1 - -1. Let p be (0 - -2)*z\/(-2). Suppose 0 = 5*j + 3*o - 213, -6*o + 4 = -p*o. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s. Let i(f) = -59*f. Give -2*i(m) - 11*v(m).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 611 = g - 3*g + 5*b, -2*b + 1559 = -5*g. Let h = g - -2238\/7. Let n = -21 + -28. Find the common denominator of h and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4524 - 4518. Suppose 3 = -o + 6. Suppose -3*a + 2 = 2*q, -17 = 2*a + o*q + 2*q. Solve -3*f = -3*r - p, a*f = f - 5*r - 34 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 12*q + 17*q + 17, 0 = -2*y - q + 7. Solve 5*h - 3*m + 7*m = -5, -4*h = y*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-60)*19125\/(-135)*(-6)\/(-20)\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1565866633 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3435234, -6870455, -10305668, -13740867, -17176046, -20611199, -24046320?\nAnswer: -27481403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.16 + -41. Let o = 0.16 - y. Let q be 30\/36*4\/10. Sort q, o, -5.\nAnswer: -5, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63381 * -0.02\nAnswer: 1267.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36702*a**2 + 79779*a**2 - 40067*a**2 + a**2 - 5*a**2 + 2*a**2 + a + a**2 - a + (0*a - a - a)*(-2*a + a + 2*a).\nAnswer: 3007*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -3*i**3 - 322. Let y(m) be the second derivative of m**4\/4 - 2*m. Calculate y(t(c)).\nAnswer: 243*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152) - sqrt(152))\/sqrt(8)*5 + -1 + -4 + (sqrt(38)*1*4)\/sqrt(2)*-5*6.\nAnswer: -120*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239*v**3 + v + 4 wrt v?\nAnswer: 1434*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136905?\nAnswer: 3, 5, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 2*c - 16 - 4*c)*(20*c - 5*c**2 - 20*c).\nAnswer: 30*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 4, j: 6, q: 6, m: 1}. What is prob of picking 1 d, 1 q, and 1 y?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 8836992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4\/4 + 138313*t**3\/4 - 5114985*t**2\/2 + 9815039*t - 9676730 = 0.\nAnswer: 2, 70, 138239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7974191 by 1.\nAnswer: -7974191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10220252 - 132?\nAnswer: -10220424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3*b + 9, 17 = 3*c + 6*b - b. Let s = 236 + -172. Suppose 2*g + 3*z - 7*z = s, -128 = -c*g - z. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4, 165.7, -3, 0.5, -1\/4 in descending order.\nAnswer: 165.7, 0.5, -1\/4, -1\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/379, -1250, 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {w: 1, q: 2, l: 1, x: 2, e: 2, b: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3494*v*y - 4*v + y - 1622 wrt v.\nAnswer: 3494*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1)\/(4\/(-6398)))\/(-12 - (-98)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7473\/4 + -2237. Let a = 386 + -765. Let c = a - f. What is the common denominator of c and 46\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 73*y**2 - 159*y + 691. Calculate r(75).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - ccad?\nAnswer: -ccb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 6*g - 6. Let n be u(4). Let l be 2 - ((-1)\/1)\/n. Let z = 127 - 122. What is the second biggest value in -2\/9, z, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042138 is divided by 466.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y - 3. Let h be b(2). Let z = h + -6. Suppose -z = -4*i - 9. Sort 3, i, 0.06 in decreasing order.\nAnswer: 3, 0.06, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-2))\/(-9))\/(1\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171 - -176. Let i(r) = -2*r - 8. Suppose 0 = 3*t + 26 + 4. Calculate the remainder when i(t) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.5 - 128831.788?\nAnswer: -128748.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*m*o*p - 42*c*o**2*p + 17*c*o*p**3 + c*p**2 + 33842*m*o**2*p**3 + 5*m - 135*o**2*p**2 wrt p?\nAnswer: 102*c*o + 203052*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4043359?\nAnswer: 89, 181, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 43. Let v be d(5). Calculate the highest common divisor of v and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 941\/(-4655) + 152\/(-40) + 4. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (7 - -29 - 56).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 549 - 549. What is the biggest value in i, -3, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**4\/6 + 37*q**3\/6 + 65*q**2\/2 + 191*q. What are the prime factors of u(-35)?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2000\/9 - -222. Let u be 0 + 16\/5 - 1056\/(-1320). Which is the third biggest value? (a) 5\/2 (b) x (c) u (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxlvxcxv. Give prob of sequence lvxc.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -730*o - 3*o**2 + 731*o + 11*o**3 - 5*o**3 in the form z*o + x + s*o**3 + n*o**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 923 and 59711.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (61\/183)\/(1\/99). Suppose l*d - 3239 = 2635. Is d a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, -12980, 4, -20 in decreasing order.\nAnswer: 4, 3, -2, -4, -20, -12980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1080 = 11*u - 65*u. Suppose 19 = -0*a - a - 4*q, 0 = -4*q - u. Is 1\/18 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 1 + m**3 + 0*m**3 + 6*m**2 - m - 9*m**2. Is 6 a factor of u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15817 and 4718.\nAnswer: 74624606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -296732 or -296735?\nAnswer: -296735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -1a12ba?\nAnswer: -1a12b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 843 - 239. Suppose 4*i = k - 88. List the prime factors of i.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 146*j**2 + 973*j.\nAnswer: j*(j - 139)*(j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, p: 1, v: 1, m: 1, z: 1}. Give prob of sequence rvz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5014258l to millilitres.\nAnswer: 501.4258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 6, k: 2, z: 4, f: 2, i: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2508 and 396.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94345 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: Which is smaller: 143\/9930 or 1?\nAnswer: 143\/9930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -353?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -45916*p**2 + 366*p + 10*p**3 - 45690*p**2 + 92222*p**2 = 0.\nAnswer: -61, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2036 divided by 4.\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 8*s - 40. Suppose i + s*i = 1062. What is the remainder when i is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2) - sqrt(12)\/sqrt(6)*-6) + 2*-1*sqrt(288))**2.\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37478?\nAnswer: 2, 7, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 + 10*t**2 + 15*t - 34. Give i(5).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4292\/(-185) + 11\/55\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329260893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 43, 45, 49, 55, 63?\n\"Answer: n**2 - 3*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1568890 and 115.\nAnswer: 36084470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24440\/156*(-3)\/(-45) - (14 + 0).\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3626696?\nAnswer: 2, 41, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 16*b + 100. Calculate the lowest common multiple of b and 398.\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 10, -3, -120, 5, -78 in descending order.\nAnswer: 10, 5, 3, -3, -5, -78, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 617 divide 13836225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(26) + (sqrt(416) - (-1*sqrt(416) - sqrt(416))) + sqrt(26))\/sqrt(2) - -3*(sqrt(117)\/(2*sqrt(9)) - (-5 + sqrt(52))**2).\nAnswer: -231 + 207*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 + -172. Let m = v + 22. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*v**2 - 93\/4 - 24*v.\nAnswer: -3*(v + 1)*(v + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32864337 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 267880 <= 267883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + sqrt(96)\/sqrt(3) + sqrt(32) - (sqrt(512) + -3 + sqrt(512) + 2 + sqrt(512)))**2.\nAnswer: -640*sqrt(2) + 3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g - 95 + 31 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/10? (a) 13 (b) 2\/21 (c) 2\/5 (d) 1\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 4*r - 1. Let b be p(-4). What is the second derivative of -14*n + b + 3*n**4 - 31 + n**4 wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2. Let v(b) = 1 - 156*b + 68*b + 73*b - 2. What is p(v(y))?\nAnswer: 225*y**2 + 30*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 73, 181, 353, 601?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 9*f + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3 - 5)*3 + 20 and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9659953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 2*r + 10. Let x be o(6). Let w = x - -226. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5 = -2*t. Suppose 8*u = t*u + 30. Suppose -6 = -3*r + 5*z - 0*z, 5*r - u = 2*z. Solve -2*d = -2, 5*j - r*d = 3*d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 15*t**2 + 27*t - 96. Let l be d(12). Calculate the greatest common factor of l and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8 (b) -3\/5 (c) -5 (d) 4 (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1143, 9484, 32141, 76278, 149059, 257648?\n\"Answer: 1194*n**3 - 6*n**2 + n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -595, 6, -11, 5, -3 in increasing order.\nAnswer: -595, -11, -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 283 - 286.5. What is y rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 14*t**2 + 24*t + 5. Suppose 8*p + 10 = 3*p, -z = 2*p - 8. Give l(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-10)*(-1100)\/117975?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 1. Let t be k(-1). Let r(l) = l**2 - l - 4. What is the lowest common multiple of ((-2)\/t)\/(-3 + 2) and r(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33284169.\nAnswer: 3, 41, 107, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2370 is divided by (352\/231)\/(-16) - (-1 - 1180\/42)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5012, 20006, 44982, 79928, 124832, 179682, 244466, 319172?\n\"Answer: -2*i**3 + 5003*i**2 - i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -54, 2, 10, -4, -29 in ascending order.\nAnswer: -54, -29, -4, 2, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -13230?\nAnswer: -13213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58659 divided by 2?\nAnswer: 58659\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7595*i + 143 = -7584*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*k + 4*w, 5*k + 28*w = 24*w + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -84. Let l = q - -46. Suppose -h + 4*h + 5*g - 287 = l, -2*h - g = -196. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = 12*y - 326. What is the highest common factor of y and 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*n + 16, 11*x = -177*n + 174*n + 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 35 + 3*r - 12*r - r.\nAnswer: -2*r + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 29 + 1 = s, 5*s - 16658*j + 16662*j = -74 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -k + 2*a, -22*k + a = -17*k - 97. What is the greatest common divisor of k and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**4 + q**3 + 48*q**2 + 52*q - 16 = 0. Calculate q.\nAnswer: -2, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((36 - 340\/8) + -10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwdcincw. Give prob of sequence cdci.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/48 and 26\/19719?\nAnswer: 315504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21\/7*(-8742)\/(-846)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bet when three letters picked without replacement from bte.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -57, -86, -115, -144, -173?\n\"Answer: -29*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 21*o + 893. Let n be r(-27). Solve 3 = -3*g - 3*y + 24, -4*g - n*y = -24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, -48, -114, -190, -276, -372?\n\"Answer: -5*k**2 - 41*k + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 0 + 3 = 5*o, 37*o - 35*o + 3*k + 33 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/10942 and -31\/1764.\nAnswer: 9650844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -9 - (-42 - -39).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 28*j - 19. What is a(-29)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avm when three letters picked without replacement from qaqvaqamvqqaaamvqqa?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 42*w**2 - 5*w**5 - 31*w**4 - 70*w**3 + 360*w - 35*w**4 + 21*w**4 + 138*w**2 = 0.\nAnswer: -6, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*q**5 - 1325*a - 13935*q**5 - 6*q wrt q?\nAnswer: -40*a*q**3 - 278700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 5*g. Let f(c) = -6*c. Let q(h) = -4*f(h) + 5*x(h). Let m be q(3). Suppose -78 = -4*k + m. Calculate the greatest common factor of k and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g - 429 = 107 - 120 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 11*d - 15. Let m be w(-12). Sort -5, 2, m in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {r: 10, z: 2, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oplsrpnn. What is prob of sequence rppn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(20)*-2)\/((sqrt(576) - sqrt(36))\/sqrt(9))*5)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*o - 86, t = -3*o + 2. What is the remainder when t is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b - 186. Let u(y) = 15*y + 376. Let r(n) = -10*k(n) - 6*u(n). Differentiate r(t) with respect to t.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 11302 in descending order.\nAnswer: 11302, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 86 = -9*j. Let o = 278 - j. Suppose -45*v = -43*v - o. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 25 - 3*q**4 - 2*q**3)*(5 - 8 + 0)*(2 + 4 - 5)*(1 + 4 - 4).\nAnswer: 9*q**4 + 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = -44935\/16167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -13. Suppose 0 = 6*a - 7 + 43. Let k = j - a. What is the greatest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 17*i**2 + 3862*i + 27173. Calculate b(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17 and 6*-1*9\/(-6).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17\/14 - ((-250)\/20 - -14). Let m be (-6)\/15 + 4\/15. What is the second biggest value in 0, -4\/7, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18*-10*(-2)\/12. Suppose 2*p = -p + u. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -7\/4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 490\/56*(-136)\/425?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 361615, 361607, 361599, 361591, 361583?\n\"Answer: -8*y + 361623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 45 + 33 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g + 358 = 118 - 528 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 2*f**2 - 38*f - 72. Let u(w) = w**3 + w**2 - 14*w - 25. Determine 3*l(a) - 8*u(a).\nAnswer: -2*a**3 - 2*a**2 - 2*a - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7264*0.18.\nAnswer: 1307.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/81 and ((-11)\/(-18))\/(-2*1\/(-10))?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3*6\/10. Let w = -7 + 7.5. Suppose -3*f + 2 = -1. Which is the smallest value? (a) f (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 74195?\nAnswer: 296780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 19. Let w(o) = 2*o**2 + 9*o - 5. Let g be w(k). Suppose 3*y = -v + 26, 33 + 36 = 5*y - 2*v. Calculate the highest common divisor of g and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**2 - 1. Let w(c) = c**3 - 10*c**2 - c + 11. Let q be (6\/(-4))\/((-3)\/20). Let z be w(q). What is y(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a - 5*a + 4*a)*(-2*a - 5*a + 5*a) + (0*a - a**2 + 0*a)*(-1 - 2 + 1) + 4*a**2 - 3*a**2 + a**2)*(-5*a - 3*a + 5*a).\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 500 - 497. Suppose -y*m = -239 + 239. Solve m*q = -5*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28\/5 - 107\/20. Factor q*k**2 + k + 1.\nAnswer: (k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 3. Suppose -k - 3*w + 0*w + c = 0, -12 = -4*k + 4*w. Let l be 50*(k - (3 - 0)). Calculate the highest common divisor of 125 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -459 + 377. Sort -4, -2, 0, d in ascending order.\nAnswer: d, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19110)\/140)\/39*12\/(-133)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 4. Let y be j(5). Suppose 4 = 3*g - y. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -15. What is the closest to 1\/4 in 1, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-38 - (-60)\/(-15). What is the common denominator of 30\/7 and m\/54*(-228)\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d - 16. Let k(u) = u**3 + 7*u**2 + 7*u - 1. Let y be k(-6). Calculate the remainder when l(y) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 26*q - 6. Let o be i(5). Suppose -127*t - 57 = -o*t. What is the second biggest value in 0.5, 4, -3, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131596 is divided by 346?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1530\/20)\/(-17)*(-28)\/210\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 31 = -3*b, -b - 4*h = 2 + 20. Let k(o) be the third derivative of o**6\/120 - o**5\/60 - o**4\/6 - o**3\/2 + 6*o**2. Give k(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 9. Suppose -d = -u*d - 92. Calculate the common denominator of 3*d\/252*3 and 14\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000538966594 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t*t**(-1\/8))\/(t**(-1\/5)\/(t\/(t\/(t*(t*t**0)\/t)))) assuming t is positive.\nAnswer: t**(323\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 65?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -4, 8, 6, 2994 in decreasing order.\nAnswer: 2994, 8, 6, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -14*c**2\/11 - 74*c\/11 - 20\/11 = 0.\nAnswer: -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*z + 146, 2*h + 3 + 79 = 3*z. Suppose -10*y + 16*y = -z. Is 2738 + -3 + -8 - (1 + y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2 and -77\/988.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44953315 - -0.1184\nAnswer: 44953315.1184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/72 and -5\/198?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*u + 949, l + u - 201 = 3*u. Let t = -60 + l. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368 divided by 368.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001011100 + 11101?\nAnswer: -1111000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 9.\nAnswer: -9, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 44, 1\/2 in decreasing order.\nAnswer: 44, 5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0*w**2 + 11*w - 27\/20*w**5 + 0*w**4 + 14\/3*w**3 + 0. Find the second derivative of t(y) wrt y.\nAnswer: -162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*g, -3*w + g + 11 + 0 = 0. Solve -s = 4*i - 13, 0*i - w*i + s = -14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6216 + 4111. What is r rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxraoaqqarqaoqxr. Give prob of sequence aar.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28032 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -7*s**4\/24 - 18*s**2. Let g(l) = -3*l. What is x(g(o))?\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2206 and 713641.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 12) to base 5\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 252 - 282.1. Let v = 36.1 + j. Which is the nearest to 3? (a) v (b) -0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 9 = 3*r - 15, -5*r - 3*t = -4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 112948*s - 10918320.\nAnswer: -4*(s + 97)*(s + 28140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.66 greater than or equal to -2.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 - 10110230213231?\nAnswer: -10110230220013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*g**3 - 38*g**3 - 37*g**3 - 31*g**3 - 36*g**3 - 35*g**3.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2440 - 2415. Suppose 69 + 31 = 4*z. What is the highest common divisor of j and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**4\/24 + 11*o**2. Let l(u) = 16*u**2. What is c(l(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 2 + 4*j - 2*j + 39865*j**2 - 39868*j**2. Determine k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 82 divided by 3\nAnswer: 82\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 372106991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 182939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 334*b - 2866. What is the remainder when v(9) is divided by 69?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 487\/2, -3\/5, -0.09 in ascending order.\nAnswer: -3\/5, -2\/17, -0.09, 487\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 22, 41, 56, 61, 50?\n\"Answer: -y**3 + 7*y**2 + 3*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2139, 4278, 6417?\n\"Answer: 2139*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (-54 + -38 + 29)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 199 = 5*j + 159, -3*j + 2 = r. Solve -22 = -r*k - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 12111*f + 12114*f - 24224*f. Let k(q) = 13*q**2 + 67. Determine p(k(w)).\nAnswer: 13*w**2 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((7\/(7140\/(-100)))\/((-40)\/48))\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 7*k**2 - k**2 - 5*k**2. Let b(w) = 2*w. Calculate x(b(m)).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 32. Let z(a) = 2*a**2. Calculate z(h(r)).\nAnswer: 8*r**2 + 256*r + 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/4 or 5?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/10 - 2\/(-4). Suppose c + 9 = -5*g, 2*c + 9 = -3*g - j. Suppose -4*u = 16, -2*x = -u + 4*u + 12. Is g equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {c: 1, d: 3, s: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - 1a?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*s - 1192 = 2*o + 87*s, 2005*s = 5*o + 2001*s + 116 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14191 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1*3\/6*544\/1088\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-4))\/(-5) + (-339138)\/(-5976).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369901, -739803, -1109703, -1479601, -1849497?\nAnswer: -2219391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1867 - 756. Let s = c + -1116. Let u(j) = -5 + j**3 - 7*j + 4*j**2 - 2 + 2. What is u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(2 + -30) + (-243 - -165).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/18247?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(sqrt(468) + -1) + 1*sqrt(468) + 2.\nAnswer: -12*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3 = -3*p, 0*o + 2*p = 3*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12149, -17555, -22963, -28373, -33785, -39199?\n\"Answer: -f**2 - 5403*f - 6745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/5049 and 169\/60.\nAnswer: 100980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 22*q + 16. Let t(z) = 7*z + 5. Let w(k) = -5*a(k) + 16*t(k). Let m(n) = 3*n + 0*n - n - 6*n. What is w(m(p))?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)\/i*i**(2\/5))**(-3\/17))**(-2) assuming i is positive.\nAnswer: i**(-138\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (610*s - 1 + 9*s - 123*s)*(0*s - 4*s + 2*s) to the form q + r*s**2 + z*s and give r.\nAnswer: -992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**3 - 4*c**2 - 4. Let n(k) = -30*k**3 - 21*k**2 - 21. Let p(l) = -l**2 + 30*l - 193. Let h be p(21). Calculate h*n(w) + 21*v(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29565*c + 29566*c - 2*h - 2 = 0, 4*c = -32*h + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1)\/(-6)*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 27*w - 15. Let d be v(-14). Let a be (d*4 - (-1 - 0)) + 173. Suppose a + 1092 = 2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svhot. Give prob of sequence os.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 47364?\nAnswer: -47362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.224*0.0272.\nAnswer: 0.0060928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d**4 + 55*d**3 - 59*d**3 + 2*d**2 + 6*d - 7*d**4 + 15*d**4 - 3*d**4 as l*d**3 + n*d**2 + x*d + q*d**4 + p and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 8*r**2 - r - 10. Let f be j(7). Suppose -3*u - 4*q = -0*q - 9, 5*u + q - f = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.260183 to 3 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -32*z**2 + 14*z + 7. Let f(a) = 39*a**2 - 14*a - 10. Let l(u) = 2*f(u) + 3*y(u). What is l(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 + 6 + 2*m**2 - 6.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2101\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 396465193428 and -5.\nAnswer: 396465193423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.71 and 35?\nAnswer: -94.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811324 a multiple of 1394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*s - 8436 + 57754 = 0, -5*u + 61721 = 6*s. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. Suppose -2*p = -w*p. Suppose 4*i + 8 + 8 = p. Sort i, -0.4, -0.1 in decreasing order.\nAnswer: -0.1, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(4 - 14\/8). Let i(a) = 7 - 5 + 1 - a + 3. Let c be i(b). Let h(y) = -4*y - 4. Give h(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 40. Let n be j(-20). Let x(f) be the second derivative of 6*f + n - 5*f**2 - 3\/2*f**3. Differentiate x(z) wrt z.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 3:51 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -155734*u + 77872*u + 77864*u - 8. Let l(m) = -2*m + 39. Calculate a(l(f)).\nAnswer: -4*f + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 + 8*i - 8*i.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*v**2 + 20*v**2 - 42*v**2)*(-5 - 4 + 55).\nAnswer: -46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 1 = 9*h. Let x be h + (-431)\/(1 - (6 + -4)). Suppose -4*z + x = -288. Is z a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*t**5 - 137*f*t**4 - f*t + 34*f - 3*t wrt t?\nAnswer: 60*f*t**3 - 1644*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*d + 71*d + 31*d - 31*d to r*d + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/131 (b) -0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202211 (base 3) in base 9?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 20 = 122*f - 123*f, 32 = 3*t - 5*f. Calculate the least common multiple of 380 and t.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/13 and -59\/777?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 - -100. Let o be ((-84)\/(-18))\/i + -1*2. Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -465454.9?\nAnswer: -465454.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/((-14)\/10)*114\/10. Let a = y - -108. Which is smaller: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462964029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q + 49. What is l(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -9*w**4\/4 + 37*w**3\/2 + 71*w**2\/2 - 157*w. Let a(j) be the first derivative of i(j). Differentiate a(m) wrt m.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b54 (base 12) to base 14.\nAnswer: -85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1721*x + 23498 = -1248 - 2790 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - v**2 - 2*v**2 + 7*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 1\/2*t**5 - 1\/7*t**7 - 2*t + 0 - 1\/6*t**4 - 2\/3*t**3 + 0*t**2 + 1\/15*t**6. Solve u(o) = 0 for o.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 3*g**2 - 2*g + 2. Let t(c) be the first derivative of -c**4 - 3*c**3 + 3*c**2 - 7*c + 11. Let z(m) = -7*b(m) - 2*t(m). Solve z(i) = 0 for i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*n + 5. Calculate the common denominator of (-445)\/180 - n\/(-8) and -2\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.007 (b) -0.14 (c) 4 (d) -0.088 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*101\nAnswer: -11.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(132)\/sqrt(11) + sqrt(3)))**2 + 0 - sqrt(34)\/(2*sqrt(2)*-1)*3.\nAnswer: 17\/9 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {y: 5, i: 3, t: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3640788, 29126384, 98301578, 233011170, 455099960, 786412748, 1248794334, 1864089518?\nAnswer: 2654143100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16220 rounded to the nearest 100?\nAnswer: -16200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 53*a**4 + 5 + 2*a**3 - 1 - a**2 - 125*a**4 in the form f + c*a + x*a**2 + o*a**3 + z*a**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppuekukkluekkke. Give prob of sequence lppk.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139460 divided by -5?\nAnswer: -27892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -522*m + 491*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alaeeree. What is prob of sequence ar?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2 + 2)*(4*d - 1 + 1) + 3*d + 143*d**2 - 143*d**2 + 2*d**3.\nAnswer: 10*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 425*b + 69710. Give v(-164).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*p**2 + 59*h**2*p + 51*h*p**2 wrt p.\nAnswer: 2*h**2 + 102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 0, 3, 2143 in decreasing order.\nAnswer: 2143, 3, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67178500 by -41.\nAnswer: -1638500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/5 - 2832*j**2\/5 + 115920*j - 7344000.\nAnswer: 4*(j - 408)*(j - 150)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.46*133729.8\nAnswer: -61515.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399533 is divided by 4439?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**2*q)\/(q*q\/((q*q\/(q*q**6))\/q*q)) assuming q is positive.\nAnswer: q**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 1\/4, -33, 4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12664908 divided by 4\nAnswer: 3166227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 454934729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 7. Let o be i(-11). Let y(c) = -c + 5. Let l be y(o). Suppose -3*p = 2 + l. What is the smallest value in p, 0.1, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 20 = -4*t, 4*t + 1069*u - 24 = 1072*u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4330422 + -4330422.10892124. Let j = 0.1089 + w. What is j rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b542a (base 12) in base 7?\nAnswer: 43425244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 11. Let v(m) = 1 + 4 - 2 - 1. Let d be ((-12)\/(-9))\/(4\/6). Suppose 0 = -3*s - 4*z + d, 5*z = 2*s + 3*z + 8. What is s*u(j) + 11*v(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {p: 2, c: 4, u: 1, b: 1, z: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21202290356*n**2 + 3 - 21202290354*n**2 - 3.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 632 = -3*b, 504 - 72 = -2*b + 4*f. Let m be b\/56 + 10\/14 + -1. Let v be -394*(-3)\/78 + m\/26. Solve -2*i = 2*y - 10, y - 3*i + 0*i + v = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjxxxjxjjjj. What is prob of sequence xxx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b + 86*b + 65*b - 8319 = -19*b for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-1 - 1 + 4)*(0 + 0 - 1)*(-n + 3*n + n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 3\/5, 18?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 17*c - 27. Let x be o(-5). Does 6 divide 32*(-4)\/(x\/189)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4021701, -0.1.\nAnswer: -4021701, -18, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(1 - 16\/10). Suppose 2*u + w = -2*t - t, 2*t + 1 = -u. Let k be 1*(-1 - (-2 + t)). Solve -4*g + 2*i + 14 = 0, 5*g + k*g - 30 = 5*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 890931*p**3*x**2 - 5*p**2*x**2 - 2*p**2*x + 3*p*x**2 + 58*x - 5 wrt p.\nAnswer: 5345586*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -3 - 15*u**2 - 23*u + 0 + 10*u**2 - 5*u. Does 8 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (42\/(-7) - -2). Solve -5*n - 4 = -2*q + 2, 2*q - 6 = -p*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340055 and 4715?\nAnswer: 13942255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/44 and -43\/6?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, 0.21, 2\/21, -63?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from 436.82185.\nAnswer: 448.82185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 5:56 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (17 - 27)) + (5 + 0 - 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 40. Suppose 2*u = 2*q - 8, 2*q - 4 = u + 1. Suppose 0 = 4*m, -q - v = a - 5*m. Let i(s) = -s + 1. Determine i(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56673 and 3483?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -11800.\nAnswer: 47200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 10555 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {s: 1, q: 2, r: 3, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6176*p + 6415*p = 12440*p - 9664 for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*a + 21, 2*x - 5*a = 12 + 1. Solve -8 = -4*v + x*z, -2*v = -0*z + 2*z - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*k = 110*k - 3294 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, 13, 4, -28, 9, 1 in descending order.\nAnswer: 13, 11, 9, 4, 1, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885046?\nAnswer: 2, 547, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-18))\/((-14)\/(-714))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12083810 rounded to the nearest 10000?\nAnswer: -12080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2451, 2513, 2575, 2637, 2699?\nAnswer: 2761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2112) - (sqrt(2112)*2 - sqrt(2112)))\/sqrt(3) + (sqrt(33)*-2)\/sqrt(3) + -1*sqrt(44).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7441 = -9*t + t - 577. Calculate the remainder when t is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-9) - (-152)\/6 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2*6 + 2*(1*sqrt(77) - sqrt(77)))\/(3*sqrt(14)\/sqrt(2) - sqrt(14)\/sqrt(2)*5))**2 + -2 + -4.\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 6. Let b be c(-13). Let d(s) = 6*s - 19. Let g be d(b). Suppose 3*k = 4*a + g, -5 - 15 = 4*a. Sort -1, k, -2 in increasing order.\nAnswer: -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37\/2 + -19. Let l = 233 + -1634\/7. Which is the closest to k? (a) l (b) 1\/4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13159, 26325, 39489, 52651, 65811?\nAnswer: 78969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144105639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/749889 and -56\/1844965?\nAnswer: 116232795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.0701 and 31051.\nAnswer: 31053.0701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2058*j**2 + 11*j**3 + 7*j**3 + 2064 + 7*j**3 + 4125*j - 35*j**3 + 7*j**3 = 0. Calculate j.\nAnswer: -1, 688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:21 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 - -0.08. Let t = -0.05 - -0.35. Let f = 0.03787 - 3.03787. What is the fourth biggest value in f, i, t, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31920260*v**2 + 27423910*v.\nAnswer: -63840520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*r = -111*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3601443, -7202888, -10804333?\nAnswer: -14405778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-35))\/((-8)\/(-28)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 5*(-9 + -3). Let u be 6\/(1\/57*-6) - 0. Is u < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214631003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 36*o**2 + 62*o - 13. Let a be j(7). Suppose -606*b = -611*b + a. Calculate the remainder when b is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -89*m**3 + 4*m**2 - 2*m - 9. Let i(r) = 445*r**3 - 22*r**2 + 11*r + 45. Let o(f) = -4*i(f) - 22*l(f). What is the first derivative of o(p) wrt p?\nAnswer: 534*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20537\/10 - -2050. Let m = 28286660369\/2580 - 10963822. Let c = -1\/645 - m. What is the common denominator of u and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111*j**2 - 498*j + 2021496 wrt j?\nAnswer: -222*j - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*i**2 - 2*i + 184 wrt i?\nAnswer: -12*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -774, -782, -802, -840, -902, -994, -1122?\n\"Answer: -z**3 - z - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -408 - -402.275. Let r = 46.21 + -40.51. Let s = y + r. What is s rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.667632 rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2655141 millimeters?\nAnswer: 0.02655141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 206.\nAnswer: 4738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15480 + 15486. Let v(i) = i**2 - i + 1. Let p be v(0). Suppose -j = -0*j - p. Solve -k - g = -j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4\/7 - 80*c**3\/7 - 1756*c**2\/7 + 4856*c\/7 + 9984 = 0. Calculate c.\nAnswer: -13, -6, 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2604 = -520. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967263955?\nAnswer: 5, 7, 27636113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(6\/(-4))\/3. Suppose w = -0*w + i + 7, 0 = o*i + 15. Let k(s) = -5 + 2*s**2 + 5 - 3*s. Give k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1404323158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - o + 28 = -0*o, 4*o - 17 = -n. Suppose 0 = 3*j - n*m + 13, 2*j - 4*m + 11 = -j. Put j, -2\/25, 1\/6 in ascending order.\nAnswer: j, -2\/25, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 - 143*v**2\/2 - 36881*v\/3 + 37520.\nAnswer: (v - 560)*(v - 3)*(v + 134)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-15)*15975\/(-2130)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*c - 15 - 33 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by 16.\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11270 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9009 and 11723166?\nAnswer: 128954826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*a + 526 - 518 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 238*w**5 - 16*w**4 + 12559*w + 5. Let v(y) = 117*y**5 - 8*y**4 + 6281*y + 3. Let g(i) = 3*a(i) - 5*v(i). What is the second derivative of g(k) wrt k?\nAnswer: 2580*k**3 - 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6217 - -1.5217. Which is the third biggest value? (a) v (b) 0.3 (c) 0.05 (d) -1 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4145, 4146, 4147, 4148, 4149?\n\"Answer: b + 4144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23354 - -280241\/12. What is the closest to 20 in 2, 1\/3, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413909629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1387, -62, 2.\nAnswer: -62, 2, 1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 97595161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 6*i**2 + 9*i + 1. Let v(f) = f**3 + 9*f**2 - 2*f - 11. Let d be v(-9). List the prime factors of q(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 29 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 13. Let r = m + -10.75. Round r to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610 = -5*r + 49*r + 17*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 550180996 - 1755077406089\/3190. Let x = 18\/319 - c. Calculate the common denominator of ((-356)\/(-14))\/(1504\/1316) and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 738 + -756 + 20 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:37 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 6*w - 4*o + 10, -10 = -5*o. Let j be 3\/w*(-8)\/12. Let f = 78 + -82. What is the biggest value in -1, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 11:21 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-14)\/6 - -2. Let z = 2191.043 - 2192. Let w = -0.043 + z. What is the third biggest value in x, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -3.47, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/75)\/(3\/15)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l - 3*n + 420, n = 4*l - 404. Let c = l - 102. Which is smaller: -2\/13 or c?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602.8 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9335325*k. Let a(b) = 5*b. Determine w(a(g)).\nAnswer: -46676625*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 47*y**2. Let b(h) = -1087*h**2. Give b(c(x)).\nAnswer: -2401183*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4323342 + 8?\nAnswer: 4323351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011011100 + -100001111?\nAnswer: -11111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203231 (base 4) in base 3?\nAnswer: 22202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - 3.06. Let s = v - -2.93. Let k = s - 0.03. What is the third biggest value in -2, 0.6, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1222657 and 276828?\nAnswer: 14671884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10410131, -10410124, -10410117, -10410110, -10410103?\nAnswer: -10410096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -0.09, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 26*q - 58. Let s be d(14). Calculate the highest common factor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 281162901 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*g - 40, -b - g + 3*g = -17. Suppose 18*j = b*j - 20. Suppose -5*x + j*x = -165. What is the greatest common factor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234156091.\nAnswer: 7, 79, 211, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*a - 8 = 0, 5*a - 12 = -2*m - 0*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 10 + 10937610*s**3 + 2.\nAnswer: 10937610*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**7\/70 + q**6\/20 + q**5\/20 - q**4\/4 - 13*q**2. Factor v(c).\nAnswer: -3*c*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuaahcupaccdhcuhhc. What is prob of sequence huda?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + 13 + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 47*y - 2144. What is i(41)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/6384 and 55\/32?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -74, -110, -168, -254, -374, -534, -740?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -841.9 + 841.7. Sort z, 224, 0 in decreasing order.\nAnswer: 224, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(1*sqrt(8)*-5) + 0 + sqrt(34)\/(sqrt(8)\/sqrt(4)).\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2\/129 (b) -0.06 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-21) + 7)*3. What is the greatest common factor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 555 or 7200\/13?\nAnswer: 555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 7*k**2 + k + 17. Determine r(5).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 35 = -5*d, 0*d + 5*d = -n + 20. Solve -2*c - 2 + 10 = 5*j, 0 = c + d*j - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + s**2 - 2*s**2)*(-s + 2*s - 3*s + (3*s - 4*s + 0*s)*(2 - 4 + 1) + 4*s + s - s + 3*s - 7*s + 2*s + 3*s + s - 6*s) + 55*s**3 - 13*s**3 + 61*s**3.\nAnswer: 102*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**3 + 13*d**3 - 5*d**2 - 10*d**3 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -561.05 + 560.85. Let a = -9 - -1. Put z, a, -0.3 in descending order.\nAnswer: z, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = -6. Suppose -4*g + 5*o + 40 = g, -g + n*o + 24 = 0. Let c = 9936 - 9932. What is the remainder when c is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 314778 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 3. Let k(i) = -i**3 - 2*i**2 - 3*i. Let s be k(-2). Suppose -s*w + 4*w = 0. Which is the second biggest value? (a) w (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-299)\/(-414)*(-3)\/(-20). Let u(k) be the third derivative of 0*k**5 - 7\/6*k**3 + 5*k**2 - p*k**6 + 0*k + 0 + 0*k**4. Differentiate u(r) wrt r.\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -4 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 674 and 20?\nAnswer: 6740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 948*p + 346050. Determine s(-365).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12.303+-0.053658\nAnswer: -12.356658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 11. Give x(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -583 + 0\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:06 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 21. Let z be n + (2 - 1)*2. Let x = z - 6. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 210028?\nAnswer: 2100280","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -260 + 5102.7156422?\nAnswer: 4842.7156422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -42080 divided by -2630\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13*t + 11. Determine i(-13).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 27*x - 4. Let v(c) = -3*c**2 + 10*c. Let p(m) = 4*m**2 - 12*m. Let k(a) = -5*p(a) - 6*v(a). Calculate k(f(h)).\nAnswer: -1458*h**2 + 432*h - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - 4.3. Let k = -0.4452 + 0.5452. Sort -2\/11, 0.2, x, k in decreasing order.\nAnswer: 0.2, k, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 8. Let n be d(-4). Suppose -n*x + 10*x = -12. Suppose x*h + 62 = 14. Does h = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -0.7. Let d be ((-261)\/(-270) - (-4)\/(-5))*(-5 - -2). Sort z, 11, -0.06, d in ascending order.\nAnswer: z, d, -0.06, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = -4. Let p = -56 + 74. Calculate the smallest common multiple of v and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 3. Let i(d) = -d**2 - 3*d + 3. Let f(r) = -2*i(r) - 2*t(r). Let k(h) = 356*h. Determine f(k(l)).\nAnswer: 253472*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, -120, -4, 3, 0, -6?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n + 0*n + 15*n - 39*n**4 - 8*n wrt n?\nAnswer: -468*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -5\/3*z**3 + 7\/24*z**6 + 1\/10*z**5 - 7 + 0*z - 21\/16*z**4 - 1\/2*z**2. Find t, given that w(t) = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -1\/2, 30\/17, 2\/15, 5\/7 in descending order.\nAnswer: 30\/17, 5\/7, 2\/15, 0, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7824008*s**2 - 10763*s + 42?\nAnswer: -15648016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -23. Suppose 12 = 20*d - s*d. Solve -5 = -d*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.176 + -2.824. Which is the nearest to -2? (a) -5\/6 (b) l (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52769\/6 - -8771. Suppose -4*w = -4*p - 24, 0*p = 2*p + 3*w - 8. Find the common denominator of g and ((-9)\/(-12) + p)\/((-28)\/8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a**(5\/6)\/a)*a*a*a)\/a**(-3\/2))\/((a**(-20)*a)\/(((a**(-19)\/a*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let s be 2\/4 + 9\/u. Suppose -s*q + 3*w + 56 = -4*q, 4*w + 59 = q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -117*m**3 - 7*m**2 + 30. Let l(v) = 76*v**3 + 5*v**2 - 20. Calculate 5*g(j) + 7*l(j).\nAnswer: -53*j**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h + 23*h = -50*h - 11*h - 5590 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -38*q + 12. Let z(p) = p - 1. Let o(i) = 3*u(i) + 42*z(i). What are the prime factors of o(-4)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - 2.3. Let s = 75 + -7. Let f = s + -68.4. Put g, f, -0.5 in increasing order.\nAnswer: g, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 + 86. Let k be (3 - 44\/16) + g\/4. Let x = k + 29. Calculate the greatest common divisor of 60 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**7\/315 + z**4\/2 - 14*z. Let a(t) be the third derivative of v(t). Let x(k) = -k**2. Determine a(x(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 8. Let q = -17 + 24. Let s be g(q). Solve -z = 4 - s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 9)*((-2)\/1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 78120.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 4*q**2 - 5*q + 1. Let m be x(4). Let k be (7\/1 + m)\/(5*-1). Let f be (8\/(-6))\/(-1) + 1\/(-3). Which is bigger: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1132342401 (base 5) to base 10\nAnswer: -2621601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7797*h**3*n**3 - 28*h**3*n*y + 9816*h**2*n**3*y - 12*h**2*n**2*y - h**2*y + h*n**3 - 2*n**3 - n**2*y wrt h.\nAnswer: 46782*n**3 - 168*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 1, b: 5, e: 1, t: 1}. Give prob of sequence ty.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-12) + (-2)\/6. Is ((-60)\/14)\/(k - 29\/28) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1069*m**2 - 1092*m**2 + 512*m**2 to the form p + d*m + f*m**2 and give f.\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggk when three letters picked without replacement from {k: 7, g: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -16 (c) 2\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, -1118 in ascending order.\nAnswer: -1118, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -1.8?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -202485 less than -5.9?\nAnswer: 202479.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - (2*-2*sqrt(30) - sqrt(30))) + (-2*sqrt(180))\/sqrt(6))\/(1*sqrt(294) + sqrt(24)\/(sqrt(4) - sqrt(16))).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 5) in base 8?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -4\/5 (c) -0.342\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 55*v**2 + 1. Let f be a(1). Let s be 2\/(-7) + (-1832)\/f. Let k = 55 + s. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -2.62.\nAnswer: -2.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1215 + 0.0215. Which is the nearest to 4? (a) 5 (b) 3\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(18\/7))\/v**(1\/9)*v**(-1\/16)\/v*v**(-9)*v assuming v is positive.\nAnswer: v**(-10831\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824611 to the power of 1\/2, to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111 and 333?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1837*w**2 + 2*w + 891*w**2 + 1 + 923*w**2 to q*w**2 + h + r*w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118238133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 154 (c) 117 (d) -3\/8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -20*v**5 + 20472*v**4 - 493048*v**3 + 1539024*v**2 - 562932*v - 503496 = 0.\nAnswer: -2\/5, 1, 3, 21, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100774234439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*y - 0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16024 in 4\/75, 1\/4, 6, 4?\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 12*m**2 + 14*m - 2. Let r be a(-2). Let n = -2 + 1. Let v = 1 - n. What is the highest common divisor of v and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**4\/4 + v**3\/3 + v - 4. Let w be a(0). Sort 2, w, 3 in descending order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 31 = -f, -3*f = -3*i - 0*f + 39. Let z be (-8 + 5)\/((-6)\/4). Calculate the highest common factor of i and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 45*z + 88*z - 4962*z**2 - 44*z + 766*z**2.\nAnswer: -4196*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 0)*14\/(-21))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -6245 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 12*u**3 + 3*u**2 - 23*u - 31. Suppose 3*i = 6 + 18. Is t(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-14))\/i*i)\/i**16*(i**(-2\/27))**(-48) assuming i is positive.\nAnswer: i**(-220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 381 + -548. Let k = -167.000138 - z. Round k to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49e5a3 (base 15) to base 14\nAnswer: -682993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 24*j - 3. Let x(z) = 3*z**2 + 42*z + 5. Let h(d) = 5*g(d) + 3*x(d). Factor h(t).\nAnswer: -t*(t - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = h - n - 12, 0 = 2*n + 4. Let r be (1\/(-4) - 20\/16)*88\/(-3). What is the highest common divisor of r and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*p + 3*p + 3*p)*(3 - 3 + 2) + 5*p - 3*p + 5*p)*(3*p**2 - 2*p**2 - 3*p**2).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 155684031 and 22400580.\nAnswer: 3113680620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 4215 + 5704. Is f a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, -6, -22, -54, -108?\n\"Answer: -s**3 + s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(90\/(-300)). What is the units digit of 6 + -5 + 0 + (-5950)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 3*k + 6. Let l be j(-2). Solve 4*w - 4 = l*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 11*x**3\/6 - 1705*x + 1. Let c(b) be the first derivative of 9*b**2\/2 + 8. Determine o(c(s)).\nAnswer: 99*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -291*t**5 + t**4 - 2*t**3 + 1524*t**2 + t?\nAnswer: -17460*t**2 + 24*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 89?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 321.59 and -779.\nAnswer: -250518.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2553, 10207, 22963, 40821, 63781, 91843, 125007?\n\"Answer: 2551*v**2 + v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -36*r**5\/5 - 3*r**4\/4 + 5*r**3 - 15*r - 149. What is the third derivative of o(j) wrt j?\nAnswer: -864*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (264\/(-18))\/4*-351*(-86)\/(-1118)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (-27)\/(-45). Let k be 4 - a*(-2)\/2. Let 8*w + 1 - 4*w - 3 - 4*w**k + 2*w**4 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 4.48. Let a = -7 - -3. Let z = a + t. What is the closest to -1\/4 in z, 4\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 311?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1321, 4, 2, 3, -5 in decreasing order.\nAnswer: 4, 3, 2, -5, -1321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182777*h - 19678 + 19678.\nAnswer: 182777*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/83 and -45.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 + -6.3. Is x > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1929 = 25*l - 5179. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 9*b - 33. Let x be g(10). Let m = -148 - x. What is the remainder when m is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6608848 and 2768?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/9, 2\/7, -4166?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*2 - 124\/2. Let m be 4\/(-12) + l\/(-9). Solve -6 = n - m*x + 4*x, -5*n - 5*x - 10 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3315 = 42*p - 47505. What is the remainder when 4843 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, y: 2, q: 3, o: 1, s: 1, c: 1}. What is prob of picking 1 i and 1 q?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**3\/12 + 163*u**2\/4 - 327*u\/4 + 15047. Factor i(s).\nAnswer: (s - 1)*(s + 327)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -p + q, -4*q = -2*p - 12 - 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 774*x**2 - x - 9. Is d(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244024313 + -1?\nAnswer: 244024312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20810141 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26694 by 6.\nAnswer: -4449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2. Let w(b) = 67*b - 67*b + 4*b**2. Determine t(w(d)).\nAnswer: -96*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 306655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 - 0.26. Let t = x + 0.3. Let m = t - -0.12. What is the closest to 1\/2 in m, -4, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 17. Calculate the common denominator of 24\/11 and (9\/(-18))\/(f\/(-158)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a**2 + 3*a**6 + 3*a**3 + 8*a**3 - 11*a**3 wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from {x: 1, t: 1, d: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 135.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 2, y: 2, m: 6}. Give prob of sequence gyyg.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 - (96\/400 - (-21606)\/(-3150)). Factor -30\/7*k**2 - 24\/7 - 1\/7*k**4 + 9\/7*k**3 + w*k.\nAnswer: -(k - 3)*(k - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(1\/36)\/i))\/(i\/(i**(-13)*i))*i**22*i**(4\/7) assuming i is positive.\nAnswer: i**(2657\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84 - (5 + -20)) + 6 + 14.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 + -144. Solve f = 5*v + 5*l - 3, -16 = -5*v - 2*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7436 = 138*y + 103*y + 67*y + 264*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4\/3 - 104*n**3\/3 - 896*n**2\/3 - 3160*n\/3 - 1300 = 0. Calculate n.\nAnswer: -13, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*x - 17. Let h be x\/14 + 184\/7. Let k(v) = -2*v**3 - 9*v**2 - 46*v - 190. Let m be k(-5). What is the highest common divisor of m and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 4, 2 in decreasing order.\nAnswer: 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -17*o**2. Let c(d) = 8*d**2 + 5*d. Let t(n) = -24*n**2 - 16*n. Let y(i) = -16*c(i) - 5*t(i). Determine x(y(p)).\nAnswer: -1088*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -618*t + 593*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 2920*d**2 - 658595*d + 655670.\nAnswer: 5*(d - 173)*(d - 1)*(d + 758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 18 (b) -2 (c) 5\/182 (d) 0.035 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, d: 2, q: 8}. What is prob of picking 4 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1739 + 1743. Solve 5 = -r*a - 4*j - 3, 5*a + j = -6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563199070.\nAnswer: 2, 5, 7, 8045701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1938, 7742, 17410, 30942, 48338?\nAnswer: 69598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 8.5152.\nAnswer: -1.021824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 2. Suppose -2*z = -7*z. Suppose 2*u - 3 = -3*q + 1, 2*q + 4*u - 8 = z. Let y be l(q). Solve -13 = 5*j + y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2024*s**5\/15 - 31926*s**4\/5 + 28562*s**3\/15 + 31362*s**2\/5 - 30586*s\/15 + 564\/5 = 0.\nAnswer: -1, 18\/253, 1\/4, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37650, -37658, -37680, -37722, -37790, -37890, -38028, -38210?\nAnswer: -38442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*m - 10 = 0, 1 = -2*a - 2*m - 1. Let u be 5\/a + (-2)\/4. Let j(o) = o**2 - 4*o - 8. Let v be j(6). Calculate the greatest common factor of u and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/4)\/(((21450\/(-416))\/15)\/((-70)\/504)).\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*s = -433*s + 384 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78.899999199 + 78.9. Round r to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58879016?\nAnswer: 2, 7, 79, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014*f = 1026*f - 1560. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*r - 1, -2*r + 11*t = 12*t - 2 - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g - 1. Let r be m(-1). Suppose r*x = -c + 3*c + 14199992, -7100004 = c + 2*x. What is c rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75\/7*f**2 + 3\/7*f**4 + 0 - 30\/7*f**3 + 0*f.\nAnswer: 3*f**2*(f - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/16 in -80, -5, 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. What is the least common multiple of z and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143.67 - 0.33. Let s = d - -144.0000114. Round s to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/(-72)*(-16)\/6. Find n such that 0*n + 0 + 1\/4*n**3 + 0*n**c = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1937 (base 11) in base 10?\nAnswer: -2460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 311145 to the power of 1\/2, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - -8. Let y be 1 - (-14)\/h*-4. Which is the second smallest value? (a) 3\/7 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2. Let h(f) = 6*f**2 - f + 1. Let v(s) = 11*b(s) + 2*h(s). Let x be v(3). Suppose -90 = -3*j + x*n, 4*j - 120 = 4*n - n. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**7\/21 + 16*s**6\/15 - 29*s**4\/2 + 26*s. What is the third derivative of a(z) wrt z?\nAnswer: -120*z**2 + 768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 121.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (-12 - 1 - (-6 + -4 + -18)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsjuusuuujuugueuguj. Give prob of picking 3 u and 1 e.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**2 + 10*z - 2. Let v be g(3). Let b = v + 46. Solve b*j + 3*w + 2 = 0, 2*w = 6*w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 794 by 612.\nAnswer: 397\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-7) - (-704)\/28. Suppose -d = -6*d + b. Let r be 69\/15 + 2\/d. Is r less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 47, 1\/8, 61 in descending order.\nAnswer: 61, 47, 1\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.793 - -0.793. Sort v, -11, -232\/7 in descending order.\nAnswer: v, -11, -232\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14558967 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(245) + 5 + 4 + (sqrt(245) + -1)*6 + sqrt(245) + sqrt(245) + sqrt(245)*-1 + 1)**2.\nAnswer: 224*sqrt(5) + 15684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141 + -23. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*w - 15*w - 160. Calculate the greatest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2013240 + 12?\nAnswer: -2013223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r**2 + 162*r - 499. Let t be g(3). What is the closest to 1 in t, 0.132, 2\/5, -1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a meter in millimeters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -205, 23, -1, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -135*s + 2196. Let r be x(-36). Calculate the greatest common factor of r and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7526, -14963, -22390, -29801, -37190, -44551, -51878?\nAnswer: -59165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 4:38 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(2\/61)*m*m\/((((m\/(m**19*m))\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(1527\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -106, 1, 7\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 5*n**3 - 2*n**3 + 11*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1084 = -4*d, -5*p + 2306 = -2*d + 923. Suppose -r = -46 - p. Suppose 4*v = r + 175. Is v a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -288*s**4 - 16*s**2 - 54*s - 1. Let i(z) = -578*z**4 - 37*z**2 - 108*z - 3. Let o(p) = 6*i(p) - 14*y(p). Find the second derivative of o(a) wrt a.\nAnswer: 6768*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229.6855 millilitres to litres.\nAnswer: 0.2296855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*z**2 - 126*z**2 + 183*z**2.\nAnswer: 257*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (-89 + 64 - -108)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*u - 2*u + 8*u - u + 2*u**2 + 84 with respect to u.\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079317 rounded to 5 decimal places?\nAnswer: -0.00793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11026 divided by 1\nAnswer: -11026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 4*q**2 - 14*q + 6. Calculate the remainder when 1606 is divided by m(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2)*x)**(-3)\/(x**(9\/7)\/x*x*(x\/(x**(-9)\/x))\/x))**17 assuming x is positive.\nAnswer: x**(-1343\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4616*p + 425 = 4558*p - 2359 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401135765?\nAnswer: 5, 80227153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-130)\/(-21) - 6). Let u(y) = 2*y**2 - 20*y - 9. List the prime factors of u(t).\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 0*d + 5*d**2 + 0*d**3 - 5\/24*d**4 + 0 + 1\/10*d**5. What is the second derivative of m(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*f - 1 = -98*f - 16, -5*j - 2*f + 3*f - 303 = -34 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 14\/5 (b) 2 (c) -9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let l(i) be the second derivative of 3*i + 0 - 1\/6*i**3 + 0*i**2. Give l(c) + 2*t(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899209?\nAnswer: 13, 146093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-754)\/(-2262))\/((-3)\/(-333))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -19*u - 221. Let n be (48\/30)\/(u\/20). Is n at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:27 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(132)\/sqrt(4))\/sqrt(3) - sqrt(132)\/(sqrt(36)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2. Let p be h(1). Let k(f) = -f**3 + 8*f**2 - 8*f + 3. Let x be k(7). Let a(n) = -n - 2. Let t be a(x). Is p less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1319\/134 + -760\/67. What is the fourth smallest value in 0.1, 0.0208, -5, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56.8 + -59. Let v = i - -1.9. Which is the nearest to 1? (a) v (b) 1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529.3997ns in hours?\nAnswer: 0.00000000042483325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11625 is divided by 10513.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*x - 14 - 3, 4*l - x = -15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114071\/5368 + 1\/5368. Let s be 32\/8 + (-220878)\/(-34640). Let c = s + -3\/2165. What is the common denominator of q and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-743*v**4 - 133713*v**3 + 133713*v**3)*(2*v + 4*v - 5*v).\nAnswer: -743*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3362)\/(-22) + (-4)\/(-22). Let r = u - 26. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20950, 41880, 62810?\n\"Answer: 20930*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 9:23 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2580 and 330?\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -8.9. Let p = -0.1 + d. Suppose 0*i - 3*i = 0. What is the nearest to i in -4, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-2)\/((-8)\/52). Let k(h) = 836005*h + 50. Let z be k(y). What is z rounded to the nearest 100000?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -85. Let l = 26 - 77\/3. Which is the closest to l? (a) r (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.5 (c) -3\/2 (d) -299313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2141287699\/12201 - -175501. Is c equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in 3, -3\/5, 2202, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143 + 341. Suppose 0 = 3*n - d - 537. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8090 + 8114. Solve -5*z - 2*o = -12 - 16, -o + y = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 1080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3792 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3055 (base 7) to base 15\nAnswer: -4b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 100294 + 113585 = -176152. Is f a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-6))\/(3\/18). Let a = m - 7. List the prime factors of (2\/a)\/(16\/168).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -224*c*v**2*y**3 + 2*c*v**2*y + 3*c*v*y + 3*c*v - 2*c + 11*v + 14*y**3 wrt v.\nAnswer: -448*c*y**3 + 4*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 (base 7) in base 12?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-17)\/(1360\/(-25)))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21 and -2930196270244.\nAnswer: -2930196270223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2. Let d(c) be the second derivative of -7*c**3\/6 - 19*c**2\/2 - 18*c. Let z(h) = h + 2. Let v(l) = -d(l) - 6*z(l). Determine g(v(y)).\nAnswer: y**2 + 14*y + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18*1*(-83)\/3. Let d = 5482\/11 - f. Factor 10\/11*c**3 - 8\/11*c**2 + 0 - d*c**4 + 2\/11*c.\nAnswer: -2*c*(c - 1)**2*(2*c - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*h + 79330595 = 28279391. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-88)\/(-55))\/((-4)\/(-10)). Let k(x) = -x**2 + 6*x - 6. Let u be k(v). Let i(m) = -2*m**2 + m + 2. Give i(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 5*g**9\/432 - g**8\/28 + g**7\/56 + g**6\/36 + g**3\/2 + 2*g. Let j(n) be the second derivative of y(n). Solve j(o) = 0 for o.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -44*m + 3. Suppose -5*j - 5 = -2*z + 26, 0 = 3*z - 4*j - 29. Let o be z\/9 + 7\/(-3). Is n(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0056494 years?\nAnswer: 0.00056494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 - 3 = 0. Let d(u) = -u**3 - 16*u**2 + u + 11. Let p be d(-16). Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 113.56 (b) 2 (c) -3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 49198*a**2 + 4*a + 6. Suppose -74*r = -68*r + 6. Let k be q(r). What is k rounded to the nearest 1000?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1587 divide 1647467874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 406369729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -8124?\nAnswer: -8129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 1669*y - 164392. Give u(-89).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k**2 - 14*k**2 - 1 + 6*k**3 to x*k**2 + v*k + b + z*k**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c**2 + 0*c)*(-15 + 75 + 6)*(0*c**3 + 2*c**3 - 4*c**3).\nAnswer: 132*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 8 = -53*v + 140 + 262 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, n: 4}. What is prob of sequence nm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 0 + 0*d + 24*d**2 + 13\/60*d**5 + 19\/210*d**7 + 0*d**6 + 0*d**3 + 0*d**4. Find the third derivative of q(i) wrt i.\nAnswer: 456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40025\/461 greater than 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eleeefeeeemlle. What is prob of sequence feml?\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**27))**40\/((u\/(u\/((u\/(u\/(u*u**22)))\/u)))\/u**(-8\/5)) assuming u is positive.\nAnswer: u**(-5518\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*h + 72*h = -156*h - 568 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:50 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5387 - 923. What are the prime factors of m?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*h**2*v - 18938641*h**2 - 9069*h*v + 7*v wrt v.\nAnswer: 61*h**2 - 9069*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349753*l - 349764*l + 310 = -31. Let x = 95 - 47. Let h = x - 32. Calculate the remainder when l is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6710113 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2. Let q(j) = -18460*j. Give q(i(p)).\nAnswer: 36920*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*w**3 + 3*w**2 - 44*w**3 - 3*w**2.\nAnswer: 30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 778001?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 742?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-12 + 8 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**7\/168 + x**6\/120 - x**5\/40 - x**4\/24 + x**3\/24 + x**2\/8 + 14*x. Factor g(f).\nAnswer: (f - 1)**2*(f + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 249*q + 0*q - 19 - 36*q in the form w*q + n and give w.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + (-1)\/(-2). Suppose -24 = -3*n - 5*q, -5*q + 5 = -4*n + 37. Let d be 1016\/40 + n\/(-20). Solve x = 5*r - d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeekoxekeeoyxnoeeone. Give prob of picking 2 e and 1 x.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**3\/o**4*(o*(o**(1\/2)\/o)\/o)\/(o**(2\/5)*o))**(-5\/8))**(-17) assuming o is positive.\nAnswer: o**(-493\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-3) + 0)*3\/6. Suppose 25 = 3*z - c, z + 1 = -m*z - 2*c. Calculate the greatest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**3*c*m - 82*a**3*c + a*c*m - 62*c*m + 12*c wrt m?\nAnswer: -2*a**3*c + a*c - 62*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 11. Let y(u) = u**2 + 9*u + 10. Let h be y(f). Suppose h*v = 3 + 25. Solve 5*r + v = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2. Let i(t) be the third derivative of -3*t**5\/10 + 3*t**2. What is i(d(q))?\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/8 (b) -0.06 (c) -1\/67 (d) 0.3 (e) -4\/7 (f) 48\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 759.291 - 760. Let v = c - 0.291. What is the nearest to 0 in 0.08, -2, v?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19778 times -44886\nAnswer: -8877.55308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 12 = -5*q, 14 = 2*i + 2*q + 6. Suppose 5*y + 6*t - i*t = 447, -2*y + 3*t = -181. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raa when three letters picked without replacement from {r: 3, b: 1, a: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309670263.\nAnswer: 3, 7, 47, 71, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014 + -2?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100 or 1.7065?\nAnswer: 1.7065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 9*h = 99. Let t(d) = -d**3 + 10*d**2 + 14*d + 11. Determine t(h).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543908 divided by 4.\nAnswer: -135977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-12))\/(1\/(18\/(-45))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*h - 4, 16*w + 7*h = 20*w - 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22418495 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 318620 - 573185. Let o = c + 2797309\/11. Let p = o + 264. Which is smaller: p or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 355415\/4 or 88854?\nAnswer: 355415\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 17*b - 74 = 0, 3*b - 4 + 7 = 5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 5*c**2 - 3*c - 4. Let q be g(-4). Let n be (-3)\/7 - q\/28. Let l = -2 + 1. Are n and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 2*t - 4856 + 4864, 4 = -4*g for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = -48 + 184. Let o(p) = y*p**2 + 5*p**2 - 11*p**2. Let s(k) = 17*k. Determine o(s(m)).\nAnswer: 578*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 9369122440389\nAnswer: -9369122440389.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1342 + -933.5. Let l = 409 - a. What is the second biggest value in -5, -7\/8, l?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -63*w**4\/4 - 2*w**3\/3 - 638*w - 90. Differentiate i(d) with respect to d.\nAnswer: -189*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 3267401698385?\nAnswer: -3267401698389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -0.09684?\nAnswer: -0.20316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 42 = -30. Suppose -4*u + 10739 = 5*f, 2*u = u + s*f + 2669. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -636 divided by -212\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**4 - r**3 + r - 1. Let c(u) = -u**4 - u**3 - 2*u**2 + 2*u - 2. Let q(j) = -2*c(j) + 4*h(j). Factor q(p).\nAnswer: -2*p**2*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*d - 3 = 0, 0 = -4*b + 5*d + 3 + 4. Suppose -x - 4*x = 5*i + 20, -2*i = b*x + 4. Is 4 a factor of (8\/10)\/(i\/(-80))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -389\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 1:49 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 3:27 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjffddfjiioodyj. What is prob of sequence jijd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/156874280 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/11 - 346*l**3\/11 + 3060*l**2\/11 - 9126*l\/11 + 9099\/11.\nAnswer: (l - 337)*(l - 3)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1606608*g = 1606629*g - s - 46, 2*s + 14 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206.4 + 206.44. Which is the second smallest value? (a) 2 (b) -96 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/27 or 159831.75?\nAnswer: 159831.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/1093, 6\/17, 20.38?\nAnswer: 20.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 316421778 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = 2*n - 3*d, -3*n + 22 = -2*d. Suppose 0 = -3*w - u + 20, 5 + 5 = -2*w + n*u. Solve 4*p + 6 = w*k, 2*k - p + 8 = -2*p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 >= 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -5 (c) -26 (d) 0.4 (e) 0.2 (f) -10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/240 and 137\/450.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*z + z. Calculate the lowest common multiple of (z\/(-8) - -10) + 3 and 19.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 2. Let w be s(4). Let q be (-2)\/5 - 45546\/(-15). Suppose -1022 = w*n - q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-8)\/(-14)) + 0. Let z = -537 + 536.8. What is the nearest to a in z, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222550 is divided by 222542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 12404, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3872*i**2. Let f(t) = 2378*t**2 + 2375*t**2 - 4754*t**2. Determine a(f(g)).\nAnswer: -3872*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 272 + c?\nAnswer: 27e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -19*v**2 + 937*v - 263. Give h(49).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2. Let h(n) be the second derivative of -n**3\/3 + 3*n**2\/2 + 11*n. Let c(z) = -3*z + 5. Let y(g) = -3*c(g) + 5*h(g). Give y(q(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -338*y**5\/5 - 559*y**4\/2 - 332*y**3 - 116*y**2 - 16*y - 27. Determine w so that p(w) = 0.\nAnswer: -2, -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1. Let n(m) = m + 5*m + m - 4*m - 3 + m**2. Let d(q) = q**2 + 5*q - 5. Let i(w) = c*n(w) - 3*d(w). Let p(k) = 3*k. What is i(p(x))?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, o: 3, s: 4}. What is prob of sequence ooo?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 133979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223894773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -35. Suppose -481 = -3*g - j*d, d - 5 = -3. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000889503 rounded to 5 dps?\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:28 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9220 or -9217?\nAnswer: -9220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmy when three letters picked without replacement from {h: 4, p: 8, m: 4, o: 2, y: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128207\/3384 - -341\/9. Let o = -769\/6392 + m. Is o at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l**2 + 0*l**2 + l**2. Let k(u) be the second derivative of 0*u**3 + 0 - u - 1\/4*u**4 + 0*u**2. Determine t(k(c)).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5)*3*5. Suppose a*y = h, -h = 5*y - 2*h. Solve 0 = 4*n + t - 7, 5*t - 3 = -4*n - y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (-9 + 43) - 10) + -10.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15117\/12001?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*o - 2*x - 404, 4*o = 2*x + 414. Let r be 9\/2*(-20)\/(-15). Is (-105)\/(-5)*o\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815 + 3640 = -1294*j - 65421 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let o be 12 - 2\/(d - 0). Suppose 4*l = o - 3. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 465925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*w - 37*w - 20. Suppose 4*x - w*j - 2044 = 0, 162 = 2*x + 5*j - 867. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 2, o: 3, x: 6}. Give prob of sequence elxl.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/7, -1, 0, 8\/337, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008158053 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57129 in 5, 1\/3, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.475795 rounded to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15602 or 1?\nAnswer: -15602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - p + p)*(-61 + 31 - 23) + (-2*p + 0*p + 0*p)*(p + 3*p - 2*p).\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/3 + b**3\/3 + 3*b**2 - 3*b.\nAnswer: -b*(b - 3)*(b - 1)*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by -34?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1095.4 + -1095. Which is the closest to 1\/13? (a) -4 (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 3*k**2 - 15*k + 30. Let r be m(6). Calculate the highest common factor of r and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -9 - -5)*(-3 + 32\/12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -413. Is ((-3)\/((-36)\/p))\/((-2)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 12 = v - 5*d, -4*d + 32 = 2*v. Calculate the remainder when (0\/1)\/(-1) + 22 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**6\/200 - 47*g**5\/100 + 17*g**4 - 280*g**3 - g**2 + 80*g. Factor b(d).\nAnswer: 3*(d - 20)**2*(d - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71284, 71297, 71334, 71407, 71528, 71709, 71962, 72299?\nAnswer: 72732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*y**3 + 71*y**3 - 2*y**4 + (2*y**3 - y**3 + 0*y**3)*(-3 - 2*y + 3).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8432 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. What is the third derivative of 4*t**y + 2 + t**4 - 2*t**2 - 2 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - -460502651?\nAnswer: 460503020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13895 minus -7.97331243?\nAnswer: -13887.02668757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 13 = 6*t + c, t - 8 = -5*c. Suppose 0 = 184*x - 185*x. Suppose x = -n + 2, -t*h + 4*n + 164 + 29 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 2*z**3\/3 - 4*z**2 - 17. Let n(k) = -k**2 + 5*k. Let g(w) = 5*a(w) + 8*n(w). Let u(c) = 4*c**2. Calculate g(u(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1896)\/(-553)*-1*(-35)\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7048\/5 - 1409. Let u(m) = m + 2. Let a be u(-2). Put a, 6, 5, s in decreasing order.\nAnswer: 6, 5, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29239 - 13978 + 43217 + 4*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 228131802?\nAnswer: 2509449822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -d9?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k + 2*k + 0*k. Let l(j) = j**2 - 6*j + 2. Let n be l(6). Let o(x) = x**n - 1040 + 1040. Calculate r(o(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 28*l = 1288. Which is smaller: 182 or l?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2630858?\nAnswer: 2, 79, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose -s = -f - 25, l*s - 3 = 5*f + 50. Is 340\/s - (-1)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**3 + 8*h**2 - h - 8. Let n be j(-3). Which is smaller: n or -39?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*w - 3*z, -2*z = 3*w + 85 - 64 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 26, 5.\nAnswer: -15, -3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(750))\/((2*sqrt(10) - sqrt(10))*6).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(220)*1 - ((sqrt(220) - 1*sqrt(220)) + sqrt(220))*6)\/(4*(sqrt(539) + 4*sqrt(539))) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(276\/(-144))*1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 4*y**3\/3 - 10*y + 10. What is the first derivative of t(g) wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12856 and 1432.\nAnswer: 2301224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 104?\nAnswer: -fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69448*x - 23437*x + 546*x + 60670*x.\nAnswer: 107227*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 10, 5, 4, 1, -38 in decreasing order.\nAnswer: 10, 5, 4, 1, -17, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 0*r + 7*r - 8)*(-4*r**3 - 158 + 6*r**3 - r**3) as i + d*r**2 + w*r**4 + p*r**3 + l*r and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 10 = t, -395*t + 400*t - 13*x = 15 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, d: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. What is the first derivative of -7 + 8 - o**4 + 11*o**4 - c*o**4 wrt o?\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 15 = -2*g, 3*o - 5*g - 13 = 11. Find the third derivative of 64*u**2 + 3*u**o - 4*u**4 + 15*u**2 - 27*u**2 + 0*u**4 wrt u.\nAnswer: -96*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 2*t + 2052 = 0. Calculate the remainder when t is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 3:00 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397, 791, 1185, 1579, 1973, 2367?\nAnswer: 2761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 53. Let u be 1\/(2 - 213\/105). Let i = y - u. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 6*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 8*v + 9. Let k be ((-21)\/(-12))\/((-1)\/4). Let g be y(k). Which is the third biggest value? (a) 3\/2 (b) g (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*p - 5*y, -3*p - 15*y + 19*y = -10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*w, -7*l + 11*l - 3*w = 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i - 2. Let a = 3 - i. Solve 3*g - a*k + 13 = -5, 4*g + 19 = k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1961250.\nAnswer: 2, 3, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69 - 429*t + 161 - 92)*(-2*t - 6*t + 0*t) as s*t**2 + b*t + q and give s.\nAnswer: 3432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvttvxtvtbvo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b**25*b)\/b)**(-3))**(-16\/5) assuming b is positive.\nAnswer: b**(1296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z**3 - 519048*z**2 + 519076*z - 115352 = 0 for z.\nAnswer: -14419, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -98 (c) 3 (d) 2839\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -96586, -94464, -92342?\n\"Answer: 2122*r - 98708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*m - 73*m + 6*m + 2*m - m + 0*m + 1 - 1 - m + (0 + 0 - 1)*(0 - 2*m + 0))*(-2*m + 2*m + m**4).\nAnswer: -106*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 5 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 16.1833 grams?\nAnswer: 16183300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -129 and -289328419?\nAnswer: 289328290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*u + 16 = -178*u + 382*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1458.684 in 1\/2, 10, 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321791, -321785, -321769, -321743, -321707, -321661?\nAnswer: -321605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474.101 kilograms in nanograms?\nAnswer: 1474101000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 0.86 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 29*y + 34*y = 81, 5*k - 193 = -3*y. Let p(c) = c**2 - 38*c + 6. Give p(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = -8. Let m(r) = 9*r**2 - 9*r + 7. Let c(b) = 20*b**2 - 18*b + 15. Let h = 86 + -95. Let z(u) = h*m(u) + 4*c(u). Give z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -266999\/30 - -8897. Let v = -256777\/30 + 8564. Find the common denominator of z and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9366 + -4745. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -3*l, -4*l - 3*i + 4*i = -10. Sort -9\/11, l, 0.4 in increasing order.\nAnswer: -9\/11, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17894756 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 7. Determine h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -3 (c) 1\/6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -84. Let n be -1*(3\/l)\/(-3)*4. What are the prime factors of (0 + n)*(77 + -21)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*x + 1279, -6*s - 2*x = -11*s - 1616. Let j = s + 326. Solve l + 9 = j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*l - 75, l - 4*x = -6*x + 33. Solve 16*p - 9*p = -l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12\/37248263 - 305063408742\/418335241753. Let i = b + 2\/1021. Sort -3, i, 2\/13 in ascending order.\nAnswer: -3, i, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 3*i**2 - 3*i - 2. Suppose -3*v + 16 = v. Let h be n(v). Solve o + 2 = -h*l - 3, 16 = o - 5*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -697*f**2 + 808*f - 5. Let z(p) = -698*p**2 + 807*p - 6. Let u(a) = -6*b(a) + 5*z(a). What is the second derivative of u(i) wrt i?\nAnswer: 1384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022011 - 100?\nAnswer: 1021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 76 (b) 4.78 (c) -2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 6608?\nAnswer: 99120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-8) - (-27)\/4. Suppose -3*s = -t + 15, 3 = -6*s + 5*s. Suppose 3*u - t*u = -w. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 74?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/8)*i)**(-1\/7))**(-33) assuming i is positive.\nAnswer: i**(495\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 58.9211ug?\nAnswer: 0.0000000000589211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40091\/24 - 1669. Find the common denominator of p and 95\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - -1.97. Suppose 0*p = p. Suppose 4*z - 1 + 0 = -u, -4*u - 12 = p. Which is the closest to 0? (a) g (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2416*w - 357540 = 2401*w. What are the prime factors of w?\nAnswer: 2, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by (252\/27)\/((-5)\/(180\/(-16))).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11342 (base 6) to base 14\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = o - 10. Suppose 3*l = -1 + o. What is the greatest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s**3 - 319*s**2 + 540*s + 824. Calculate g(-37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 6*t**2 + t - 7. Let h be y(6). Suppose -32*g - 234 = -50*g. Let m be g\/(-104) - 170\/(-80). Sort 4, -24, h, m in decreasing order.\nAnswer: 4, m, h, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 17*o - 3. Let i be t(8). Suppose 5*w + 1 = 16, -f + 18 = i*w. Factor -80*d**3 - f*d**5 + 79*d**3 - 2*d**4 + 2*d**5.\nAnswer: -d**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1237*u**5 - 2*u**2 - 10?\nAnswer: -74220*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -5, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/2 + -1 - 4*667\/(-232). What is the highest common factor of 8489 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/8 - 2*s**4 + 23*s**3\/4 + 18*s**2 + 81*s\/8 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37551 + -36387. Solve -y = -17*s - 1249 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317715047 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 119027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - (sqrt(216) + -4*sqrt(216)*1 - sqrt(216))) + sqrt(216))\/(2*(sqrt(768) + 2*sqrt(768))).\nAnswer: 3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 0*r - 1 = -2*d, -2*r - 1 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 39 - 39)*((3 - 1 - 1)*(-2 + 2 - 2) - 24 - 32 - 33)*(-3 + 3 + h).\nAnswer: 273*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -5*g**4\/4 - 8*g**2. Let y(r) = 7*r. Determine b(y(h)).\nAnswer: -210*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*n - 14*n - 22*n + 7*n + 2*n**2 to the form u + l*n**2 + t*n and give t.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 5*o + 19, -5*o - 4*l = -l + 34 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 10*l - l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 44. Let g be p(-16). Suppose g*r = 14*r - 160. Let q be 66\/r + 1 + (-27)\/24. Calculate the highest common factor of 40 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q + 8*q + 4*q - 7*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -775 + 479 = 74*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikeef. What is prob of picking 1 k and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((4\/(-1))\/(80\/(-60)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) - 22\/(-4). Solve s*t - 15 + 5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 4*k + 1. Determine t(6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 2. Let d be f(-2). Suppose 0 = -5*x - d + 31. Calculate the remainder when 23 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-112) - ((-1118)\/91 + 12)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7972*w. Let s(x) = -45*x. What is u(s(o))?\nAnswer: -358740*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-3250)*10)\/((-1)\/(-5)*1)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15827 and 456?\nAnswer: 379848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**6\/195 + 4*b**5\/65 - 7*b**4\/39 - 8*b**3\/39 + 15*b**2\/13 + 26*b. Determine w so that p(w) = 0.\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 - -62.01. Let h = -0.01 + n. Let q = 8970 + -8973. What is the nearest to 0.1 in q, 3\/5, h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-104)\/((-10)\/5) + -1. What is the highest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(3888)*-1 - ((sqrt(3888) + -2)*4 + sqrt(3888))) + (sqrt(3888)*-3 + 2 - (0 + sqrt(3888))*5))**2.\nAnswer: -12960*sqrt(3) + 1259812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45179150.\nAnswer: 2, 5, 19, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5 (c) 0.002806\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.32752 - -0.2906. Round n to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31825 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/3515 and 51\/64676?\nAnswer: 323380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6*h - 2 + 5.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75) + 1)*-5*5.\nAnswer: -125*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 137 = -411. Suppose -4*p - k = -7*p + 2*v, 183 = 4*p - 3*v. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**12*w*w**11 assuming w is positive.\nAnswer: w**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 12*w**2 + 13*w - 51. Let f be a(-12). Round f to the nearest integer.\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) + sqrt(60))\/sqrt(12) - sqrt(5) - (sqrt(245) + sqrt(245) + sqrt(245) + 0)) + (-2 + sqrt(35)\/(sqrt(21)\/sqrt(3)))**2.\nAnswer: -21*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 1) + -13 + 43 + -24.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3360803 years in centuries?\nAnswer: 0.003360803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2154751560.329 take away 8.1?\nAnswer: -2154751568.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4669996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 786959354 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -3*z + 0 - 3\/70*z**5 + 4\/21*z**4 + 2\/7*z**2 - 1\/3*z**3. Find l, given that f(l) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 11123012112?\nAnswer: 11123012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, -2, 105 in increasing order.\nAnswer: -12, -4, -2, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -66570, -132984, -199416, -265872, -332358?\n\"Answer: -i**3 - 3*i**2 - 66398*i - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 435 + -397. Let p be f - 45\/12*(-32)\/(-24). Solve p - 8 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p - 56*p - 56*p + 38*p - 74*p - 18*p.\nAnswer: -202*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 - 3.5. Let i = 5477.294 + -5483. Let s = i - z. What is s rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 24*i + 54. Let m(f) = f + 2. Let x(j) = -2*g(j) + 54*m(j). Let z(d) = -4*d**2. Determine x(z(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26469203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2 - -9)\/(-1). Let m = 13 + r. Let v(i) = -6*i**2. Let y(q) = -q**2. What is m*v(j) - 21*y(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21463575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1713, 1715, 1717, 1719, 1721, 1723?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -76.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1656853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = 3*b. Let u be b\/8 + 388\/16. What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 = 16*s - 1382. Let t = -108 + s. Which is bigger: -1\/69 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1723842 times -10\nAnswer: -17238420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 5. Let b(y) = -5*y**2 - 2*y. Let w(f) = -6*f**2 - 3*f. Let i(x) = -x + 4. Let l be i(7). Let z be -2 + -1 - l\/(-3). What is r*b(k) + z*w(k)?\nAnswer: -k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g**(-4\/5))\/(g**(2\/3)\/(g**(-1)\/g)) assuming g is positive.\nAnswer: g**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 5*m - 4. Let w be t(-4). Suppose -3*l + 1 = 5*i + 5, w = 3*l + 2*i - 2. Solve l*r + 6 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**3*k**3 - 2*j**3 + j*k**3 - 2*k**3 - 37 wrt j?\nAnswer: -9*j**2*k**3 - 6*j**2 + k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 + 21041?\nAnswer: 21004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3388*k**3 - 13*k**2 + 41*k + 463. Let o(s) = 1694*s**3 - 6*s**2 + 18*s + 231. Let z(c) = -6*i(c) + 13*o(c). Find the second derivative of z(y) wrt y.\nAnswer: 10164*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6*(-33)\/22. Let a = n - -4. Suppose a*s = 8*s - 20. Solve -4*c = -6*c + 3*t - 1, -4*t = s*c - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 381810 + 5?\nAnswer: 381815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*n**5 + 1 + (n**2 - 4*n**2 + n**2)*(-2*n**3 + 4*n - 4*n) - 413*n**4 + 7*n**5 - 5*n + 413*n**4.\nAnswer: 13*n**5 - 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n + 5*d - 31, 0 = 5*n + 4*d - 10. Calculate the common denominator of n\/(((-32)\/(-36))\/2) and -109\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) + sqrt(14))*-4)\/(sqrt(63)*2) + -5.\nAnswer: -5 - 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2413, -2409, -2413, -2431, -2469, -2533, -2629, -2763?\nAnswer: -2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxyeecxcxxyy. Give prob of picking 1 x, 1 y, and 2 e.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 7*t - 1. Let q be x(-8). Suppose -4*a - 4*v + 84 = 0, -4*a + 2*v - q*v + 83 = 0. Suppose -i - i = 2*o - 34, -2*o + a = -2*i. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16002 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 6*u + 7. Suppose 2*s + 3*o + o - 2 = 0, -3*o = 5*s - 26. What are the prime factors of g(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 0 + 12*w**2 - 16\/3*w - 14\/3*w**4 - 2*w**3 = 0?\nAnswer: -2, 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -2760.668\nAnswer: -38649.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*n**2 + 151*n**2 + 126*n**2.\nAnswer: 576*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 19*t**2 + t - 17. Let o be l(19). What is the units digit of (30\/(-25))\/((-2)\/90) + o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68478 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16025 + -0.17.\nAnswer: 16024.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-42) + 96\/14. Suppose 0 = -3*m - 1 - 11, 4*h = -5*m - 24. Let i be (h\/4)\/((-2)\/24). Solve -b*n + i*n - 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9138.\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**4 + 268712*l**3 - 4512077440*l**2 - 27082139136*l = 0. What is l?\nAnswer: -6, 0, 33592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 197 - 3106\nAnswer: -2909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 191871517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -25*b + 29*b. Let r(l) = 5*l - 50. List the prime factors of r(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -11.9594929501?\nAnswer: -11.5594929501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510195082 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 2777\nAnswer: 2776.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from aaakkaakkaa.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 515770*y**2 - 13260613325*y + 2081226439500.\nAnswer: -5*(y - 156)*(y + 51655)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -358487, -1433936, -3226345, -5735714, -8962043?\n\"Answer: -358480*l**2 - 9*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/51312 and 7\/8552?\nAnswer: 51312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6017 - 6017.4. Which is the second smallest value? (a) 2 (b) -4 (c) -5 (d) g (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -1 + (-2*sqrt(1100) - sqrt(1100)) + (3 + sqrt(1100)*-1 - sqrt(1100)) - -2*-3*sqrt(1100)*-4)**2.\nAnswer: 800*sqrt(11) + 440004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.2 + -99.187. Let r = -4986.987167 - -4987. Let u = p - r. Round u to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 0 + 10\/9*a - 1\/3*a**2 - 2\/3*a**3 - 1\/9*a**4 = 0?\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*a - 1612 = -133*a. What is the smallest common multiple of 6 and a?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 6\/(-4)) + 2\/4. Let b be 4 - 0 - (-25)\/(-5). Let d be b*((-84)\/6 - -1). Solve 2*f - d = f - 5*p, n = p - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*n**6 + 14*n**5 + 7721*n**2.\nAnswer: 4680*n**3 + 840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2. Let m(w) = -11526*w. Calculate z(m(d)).\nAnswer: -398546028*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 806\/9 + -803\/9. Let k(m) be the second derivative of 1\/3*m**4 + z*m**3 + 0 - 21*m + 0*m**2. Factor k(n).\nAnswer: 2*n*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 770 + -770. Suppose f = 9*k - 746 - 5041. List the prime factors of k.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11213417 divided by 15\nAnswer: -11213417\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - d + 93 + 71 - 285 + 101.\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 + -212. What is the nearest to -2\/5 in 3\/4, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3762 + 26350\/7. What is the nearest to -11 in -4\/9, -3\/4, q?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6662297 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*j = -u - 23, 3*j = 2*u - 2. Let g = u + -3. Solve -5*h - 27 = 3*i, -3*h - 4*i = -g*h + 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12430, 25729, 39986, 55201, 71374?\n\"Answer: 479*g**2 + 11862*g + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4141*l**2 - 128*l + 17. Is i(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + -4) - (49 + -47).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 172726, 172724, 172720, 172714, 172706?\n\"Answer: -y**2 + y + 172726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 1772 = 3*y + 3864 - 1956 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588077 = -147*x + 140*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*p + 2, p = -0*p + 2*l + 8. Suppose 3*k - 35 = -2*k + 4*v, -v + 1 = 2*k. Which is the nearest to -2? (a) k (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 12*m**2 - 7*m - 14. Let v be l(-11). Let x = -50 - v. Let c = 61 - 32. What is the remainder when c is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**5 - 60*c**4 - 1023*c**3 = 0.\nAnswer: -11, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-12)\/(-10))\/((-7)\/(-210))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -395, -49, 127.\nAnswer: -395, -49, 127","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - f**2 - 7*f + 7*f + 9*f - 2 + 0*f**2. Give j(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 46*d**3\/3 + d**2 + 102*d - 107. Find the first derivative of o(b) wrt b.\nAnswer: 92*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 5*a**2 - 5*a + 8. Let l be o(3). Suppose l*c - 37 - 62 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56280.\nAnswer: 2, 3, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*2 - (3 + 0). Suppose 15 = -g*o, -5*x = 2*o + 12 - 36. Suppose 0 = -3*m + x*m. Is 2 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-4) - 2\/4)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39798 divided by 3?\nAnswer: -13266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, a: 2, y: 5, c: 2, j: 4}. What is prob of sequence ywa?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.1 less than 42.7?\nAnswer: -632.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) - sqrt(136)*-2))*-5 - (sqrt(136) + (sqrt(136) - (-4*sqrt(136)*-2 + sqrt(136)))))\/(4*sqrt(24)\/sqrt(3)*-5).\nAnswer: 13*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 - 335*q**3 + 4170*q**2 - 9360*q.\nAnswer: -5*q*(q - 8)*(q - 3)*(q + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 27\/5, 1, 4, 20.\nAnswer: 0.3, 1, 4, 27\/5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + f + 5, 0*x - 9 = -x + 3*f. Suppose 4*w = x + 21. Suppose 27 = d + w. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - p - p + 114 = 0, 3*w = p + 78. Suppose w = -q + 2*q. Suppose -6*r - 9 = -q. Solve 3*i + r*h = i - 11, 0 = -3*i - 4*h - 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/36)\/((-2)\/(-24)). Suppose 26 = 3*f - 5*z, 4*f = -8*z + 6*z. Solve 13 = 2*h + r, -f*h + 7 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1234 + 1?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*a + 4 = 0. Suppose 0 = a*n - 0*n + 3*k - 16, -5*n + k + 23 = 0. Suppose 9*p - n*p - 572 = -4*u, 143 = u - 5*p. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2092498*r**2\/5 + 10462474*r\/5 - 16 = 0.\nAnswer: -5, 8\/1046249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 203. Solve 5*i + 5*c + 3 + 2 = j, -32 = 4*i - 3*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6, a + 0*a - 5 = 4*y. Find the third derivative of -23*m**2 - a*m**6 + 7*m**2 + 9*m**6 wrt m.\nAnswer: -960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05234122 + 0.05206. What is i rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*y = -47 - 13, -2*w + 33 = y. List the prime factors of (11 - -1)\/(w\/889).\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*45\/(-160)*348\/(-87).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2474911 and 2474780 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 25. Let c be n(9). Suppose -24 = 5*x - c*x. What is the remainder when 37 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -966.75 - -801. Let k = x + 202. Let d = k - 37. Round d to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29951 - -29961. Suppose -4*t = -2*d - 2, -2*t + 2*d - 19 = -3*d. Solve t*j + 4*v = -5, 0*v = -j - 3*v - h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20736?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(63) + 1 + sqrt(63).\nAnswer: 4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20220.301 rounded to the nearest 100?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 10*x**4 - 5*x - 726*x**3 - 3 + 724*x**3 - 14*x**4 - 11*x**4 + x**2 to the form n + i*x + w*x**3 + d*x**4 + t*x**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1 = -8, 4*r = b + 13. Suppose -z - 156 = -5*m - 2, -r*z - 46 = -m. Is 10\/m + 760\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -29.73. Let s = k + 0.03. Let j = 0.337 + 6.663. What is the closest to -0.1 in -0.4, j, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 43191400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5245337, 5245331, 5245325?\n\"Answer: -6*o + 5245343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266 divided by 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.327777ml to litres.\nAnswer: 0.006327777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522691831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + 2. Let i = j - 14.5. Put -4\/9, -0.1, 0, i in decreasing order.\nAnswer: i, 0, -0.1, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 14*f**2 + 10*f - 2. Suppose -4*v + 24 = -2*v - 3*w, 3*w - 60 = -5*v. Let s be c(v). Let o = s + -283. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 1\/4 (c) 37 (d) 0.6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 1220003?\nAnswer: -1213332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*3\/12*2 + 100. Solve -m = 39*t - 24*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/13 (b) -21 (c) -2 (d) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2125152, -2125233, -2125314, -2125395?\nAnswer: -2125476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 12 = 2*b. Solve -9 = -a + b*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 - 4*x**2 + 2*x**2)*(-27088*x**2 - 28979*x**2 + 6054*x**2 + 5267*x**2 - 8431*x**2) to j*x + a + g*x**3 + i*x**2 + y*x**4 and give y.\nAnswer: -53177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**4 - 13*k - 29*k + 55*k**2 - 41*k + 40 - 7*k = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 33. Suppose -i = 5*s + 3. What are the prime factors of ((-9)\/27)\/(s\/249)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6504)\/(-324) + 30\/(-405). Solve -3*v = -2*g - x, -7*g = -4*v - 3*g + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 70*l + 1279. Give j(85).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5683, 5684, 5685, 5686, 5687?\n\"Answer: r + 5682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 - 7.4. Which is the smallest value? (a) 5 (b) q (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 954 + -953.9. Which is the closest to g? (a) -1 (b) -0.5 (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1. Let o(j) = 3*j**2 - 11*j + 3. Let c(z) = 3*z**2 - 12*z + 2. Let h(s) = 5*c(s) - 6*o(s). Let x(m) = -h(m) + 2*t(m). Is x(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c31235 (base 14) to base 13.\nAnswer: -1491660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 3. Let u(g) = -1. Let h(j) = -l(j) - 3*u(j). Let y(n) = 3*n. Give y(h(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003100870355 to seven dps.\nAnswer: 0.0003101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -295*v**2 + 426. Let g(x) = 35*x + 3. Determine g(a(b)).\nAnswer: -10325*b**2 + 14913","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -746 + 760 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-80)\/(-38) + 1 - (-46)\/(-437). Find the first derivative of -135*g**3 - 147 - 134*g**3 + 50*g**d wrt g.\nAnswer: -657*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 19. Let m be z(14). Is 8\/(-10)*m + (2 - -9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:57 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (99 + -102)*(-1)\/6*1. Let k(z) be the second derivative of -t*z**3 + 1\/12*z**4 + 0 + 0*z**2 - 3*z. Find the second derivative of k(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/4 + 2*j**3 + 49*j**2\/4 - 47*j + 33 = 0. Calculate j.\nAnswer: -6, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -11)\/(-4)*2\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -43. Suppose 38*f = 33*f + t. Solve 5*u = -s + f - 8, -22 = u - 4*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 - o - 8 + 108 + 28.\nAnswer: -o - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**8\/48 + v**5\/20 + 11*v**2\/2 - 7*v. Let q(z) be the first derivative of u(z). Find the third derivative of q(f) wrt f.\nAnswer: 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 11 = -0*y - 2*y, 0 = -5*y - j - 19. Which is the nearest to -1\/9? (a) -2\/7 (b) y (c) 1\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81608657*i**2 + 113421530*i - 2 wrt i.\nAnswer: -163217314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 49. Solve 6*l - 2*l = -b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124966018 and 28.\nAnswer: 1749524252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4675656.\nAnswer: 2, 3, 194819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4327063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0, 1.3, 1\/3, 1\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/332 and -59\/2324.\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 9) + -8 - (3 - 20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s + 4*s - 2*s)*(-3*s + s - 1211 + 1244).\nAnswer: -42*s**2 + 693*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9009102, -18018213, -27027300, -36036351, -45045354, -54054297, -63063168?\nAnswer: -72071955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*m - 12 - 9, 0 = -4*v + 3*m + 12*m - 66 + 22 - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**4\/4 - 191*f. Let u(b) = 16*b. Calculate u(k(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 12 = 0, 0 = -4*k + 5*b - 27 + 32 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.91473*1\nAnswer: 0.91473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 48611, -4 in descending order.\nAnswer: 48611, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 280.881 - 281. Let v = -0.619 - g. Which is the smallest value? (a) 1 (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxelrxu. What is prob of picking 2 l and 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*w + 2*o, -11 = -0*w - 4*w + 3*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 12) to base 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Let s = l - -78. Suppose -x = 4*t - s, 3*x - 58 - 121 = 2*t. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10997*y - 164950. Give i(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from uebtese.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21904*n**2*z - 2*n**2 + 3*n - 3597*z**3 + 14540543 wrt z?\nAnswer: 21904*n**2 - 10791*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-756) + (-40)\/(-1260). Sort c, -3, 4, -8, 3 in increasing order.\nAnswer: -8, -3, c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2 + 4. Find the third derivative of -u**3 + u**3 - m*u**3 - 3*u**2 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0 + -30 + 36 + (-53 - -19)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 26*h + 31. What is i(-7)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 13 = -37, -104*s + 100*s - 41*w + 76 = -16 - 216 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z + 671. Let r be h(52). Let b(d) = -11*d - 9. Let x be b(-2). Sort x, r, 5 in descending order.\nAnswer: x, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6469.54 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/58*(4 + (-147)\/42).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 509?\nAnswer: 5\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(171))**2*-5 + 0 + ((-1*sqrt(171))**2*-2 - sqrt(171)) + sqrt(171).\nAnswer: -1220 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27340872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1016 - 556. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230 - 230. Let p = 3.75 + 0.25. Which is the closest to r? (a) -6 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.8. Let u = -0.500015 - o. What is u rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 460 + -295. What is the smallest common multiple of j and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121754 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 32346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5 - 915*g**4 - 59175*g**3 - 1541565*g**2 - 12866040*g - 33334740 = 0. Calculate g.\nAnswer: -57, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4*n + 28 = 0, 23*o - 26*o = 4*n - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 40, 48, 52, 52?\n\"Answer: -2*x**2 + 18*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -66*s + 5107. Give n(77).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -1. Let p = -16.9 - -22. Let k = p - 5. What is the closest to k in s, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057093.\nAnswer: 1057093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -74354445 divided by -4956963\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*u**2 + 3*u**2 + 8*u**2 - 18*u**2 - 5 + 5*u**2 as k*u**2 + z*u + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11166833507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0*z**4 - z**2 + 0 + 0*z - 19\/6*z**3 - 7\/60*z**5. What is the derivative of c(g) wrt g?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - g**2 - 5*g - 4. Suppose f + 7 = -m, -27 = 5*f - 2*m + 3*m. Let b be p(f). Calculate the greatest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 29*x**2 - 35*x + 834. Let t be o(-31). Which is the fourth biggest value? (a) -0.1 (b) 1\/5 (c) -13 (d) 2\/11 (e) t\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103989 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 16600000 to the nearest one hundred thousand.\nAnswer: 16600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16114)\/(-490) - 33)\/(10\/50)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2335254 and -2.\nAnswer: -2335256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 5. Let r = 7 + -2. Calculate n(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 44 = -5*s. Suppose -m - 5 = -5*x, -5*x - 59 = 4*m + s. Which is smaller: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 24*v**4 - 5*v**2 + 9 - 4 - v**3 + 22*v**4 in the form d*v**3 + j*v**2 + l + w*v**4 + n*v and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1109 by 2.\nAnswer: 1109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -3 - -1) + (-22 - -67) + -41.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 5 - (-8)\/(-48))*(-2772)\/84\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 27*p + 37*p - 64*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14\/11*b + 20\/11 + 2\/11*b**2 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78408, 78545, 78734, 78975, 79268, 79613?\nAnswer: 80010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 269, 289, 317, 353, 397?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2629*a + 1393*a + 1245*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 72 = -4*l, -7*l + 10*l - 4*z - 57 = 0. Suppose -11*d - 5*m = -6*d - 840, -5*m = -4*d + 672. Calculate the smallest common multiple of d and l.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -9. Let x = a + 1. Let v(n) = 7*n**2 - 2*n - 1. What is the tens digit of v(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f - 784. Let i(b) = -4*b + 5. Determine 4*d(v) + i(v).\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -91944715.04 and 0.41.\nAnswer: -91944714.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*10*-1. Let p(h) = -2*h**2 + 2*h - 6. Let k be p(5). Let d = -11 - k. Calculate the highest common divisor of d and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.02 (b) 1\/18 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63*1\/35*-5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -14. Let d = 0 + 1. Which is the nearest to d? (a) 0 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v. Let d = -4 + 8. Let u(o) be the third derivative of 0*o**3 + 0 - 1\/8*o**d + 0*o - o**2. What is j(u(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 7*v**2 + v + 3. Let u be c(-7). Let p(a) = 10*a + 6. Let q be p(u). Let f = -20 - q. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 8, d: 6, v: 1, i: 1}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 c when three letters picked without replacement from viviciviiitjtt?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 112\/(-49))\/1. Suppose 0 = -2*z + 39 + 1. Let p be z\/39 + (-4)\/6. Which is the nearest to p? (a) 3 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/5, -1, 17, 0.02, -85 in descending order.\nAnswer: 17, 14\/5, 0.02, -1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 31 (b) 1 (c) -0.5 (d) 19 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + 17 + (-7857)\/(-297).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5}. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/12 and 33\/32990?\nAnswer: 197940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 7. Let v(q) = -1591*q + 3. Let g be v(f). Suppose 5*l - 4*r = g, -r + 1898 = 5*l - 1312. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 1.6. Let z = -1 - p. Let x be (3 + -1)*1\/(-6). Which is the smallest value? (a) x (b) z (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(22)*-1 + -5*sqrt(198))\/((sqrt(99)*4 - 5*(sqrt(11) + sqrt(44)))*1))**2.\nAnswer: 338\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1870 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 2) + 1690936\/(-120). Let s = -14097 - p. Calculate the common denominator of s and -44\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 129*b**2 + 11*b**2 - 270*b**2. Let f(z) = 761*z - 381*z - 382*z. Calculate c(f(l)).\nAnswer: -1556*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/25434 and -179\/2430.\nAnswer: 381510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (492\/656)\/(3\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 3\/2, 17, 0.2, 23, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -5, -13400?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 9527971, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-1*sqrt(108))**2*-6 + 4) - (-1*-1*(-1 + sqrt(108) + 3))**2)*-5.\nAnswer: 120*sqrt(3) + 16660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -0.3 (c) 53 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 507*i + 9 = -499*i, o + 3 = 5*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((1 + 2)*-1)\/1. Let f = 4 + 17. What is the tens digit of (-2)\/c + 364\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - ((-65)\/(-10) + -7). Let u(v) = v**2 - 7*v + 1. Calculate the remainder when u(8) is divided by (x\/2)\/(2\/16) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1386 divided by -3.\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -644000 rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242 + 387 - 2323)*(4*x + 5 - 5)*(-5*x - x + 4*x).\nAnswer: 17424*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 11*a**2 - 23*a - 6. Suppose x = o - 6, 2 = 3*o + 11. Does 13 divide g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -2. What is the common denominator of -17\/20 and (-4 - (-41)\/5) + z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**2 + 98 - 188 - 40*j + 125 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 509*j**4\/12 - 2426*j**2 - 2*j. Let s(i) = -i**2. Calculate s(g(t)).\nAnswer: -1036324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/13 (b) -34 (c) -0.3 (d) -1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -17. Let i = w - -1. Suppose 0 = i*m - 5*b - 118, -5*m + 143 = -3*b - b. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*f**5 - f**2 + 56?\nAnswer: 2940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102921760.\nAnswer: 2, 5, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from {h: 2, i: 1, a: 2, b: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(0 + 1 - -1). Let n = -5 - f. Suppose 5*o = 3*t, -o + n*o = 5*t. Solve m + 7 = -j, m + 1 = 2*j - t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 - ((-464)\/(-36) - 3)) + 3\/(-3). Let l(m) = -m + 1. Let c be l(-1). Find a, given that i*a + 2\/9*a**3 + 4\/9 + 8\/9*a**c = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffaaf. Give prob of picking 1 a and 1 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-1.22.\nAnswer: -13.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/7*48\/(-60).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maapimnmnapmmnamxmna. Give prob of picking 2 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1109.22 - 0.2\nAnswer: -1109.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8172 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2111 + 4968. What are the prime factors of i?\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 897983265?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3 - 184842*l**2 + l + 184842 = 0?\nAnswer: -184842, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0088735 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -249\/202172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38487787 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7188 divided by -20.\nAnswer: 1797\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -14.59847 and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1250 - -6249\/5. Is -1824 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110433.6 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 6\/29897 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - r = -66, 0 = 3*a + 6*r - 8*r - 163. Put 0, 11, 1, a, -3 in ascending order.\nAnswer: -3, 0, 1, 11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312011230 (base 4) to base 2\nAnswer: 110110000101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*l**3*m**4 - 903*l**3*m**3 + l**3*m - 12072*m wrt m.\nAnswer: 168*l**3*m**2 - 5418*l**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1187182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1532*m**2 - 1153 + 393 - 550 with respect to m.\nAnswer: -3064*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**4 - 218704*l**3 + 656088*l**2 - 656080*l + 218692 = 0.\nAnswer: 1, 54673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41820299, -83640606, -125460913?\n\"Answer: -41820307*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**18\/r*r**24 assuming r is positive.\nAnswer: r**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 150*b + 206*b - 4695 - 356*b - 3213*b**4 wrt b.\nAnswer: -12852*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 - 14 - 7\/22. Let r = 752201\/176 - 4274. Let l = f - r. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 371*g - 364*g + g**2 + 746*g - g**4 as p*g**3 + i*g + y*g**4 + v*g**2 + a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 136. Let z = q + -10.98. What is the third biggest value in 1\/3, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*c + 70, c + 3*y - 27 = y. Suppose 175*r + 174 = 181*r. Let u = c - r. Solve 0 = -u*x - 2 - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29201 + 25164.7. Round p to the nearest one hundred.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 - 95*n**4 - 530*n**3 - 350*n**2 + 2695*n - 1715 = 0 for n.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -2403984?\nAnswer: 2403994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(176) + 5*sqrt(22)\/sqrt(2) + sqrt(55)\/sqrt(20) + 3)**2 + 2.\nAnswer: -15*sqrt(11) + 319\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.9 - 10. What is the second biggest value in q, 4\/3, -8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 + -148. Suppose -1 = v*l - z, -7*z = -5*l - 5*z - 2. Solve l = h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132 + (-893035)\/6765)\/((-5)\/120)\nAnswer: 8\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9788514*u - 39154048. Give d(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12510 + 21744. Is 54 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 13) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/8 + 119*r**2\/8 + 489*r\/8 + 369\/8.\nAnswer: -(r - 123)*(r + 1)*(r + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-10))\/(1\/(-3))*6. Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 8*w**2 - w**2. Let p(u) be the third derivative of -u**4\/8 + 7*u**2 + 4. Give p(r(o)).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 114. Let i = 53.25 - x. Round i to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 3. Suppose -2*y + 6 = -l. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltt when three letters picked without replacement from {l: 3, t: 3, w: 5, v: 6}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 18*v + 58. Let h be o(-4). Suppose 3*u + h*u + 2*c - 5 = 0, -c = -3*u + 14. Solve -n = 2*n - 3*j - 6, u*n - 4*j - 5 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152260 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:52 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3495882 is divided by 1747938.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55cc + 838?\nAnswer: -4b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-4)*1 + 2445\/(-2934). Let h = -0.31 - -0.01. Let s = -0.01 + 0.21. What is the nearest to s in -2\/5, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtavc. Give prob of sequence ca.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 65*w. Let g(o) = -666*o - 37. Calculate x(g(p)).\nAnswer: -43290*p - 2405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*m + 9, 0 = 2*t - 2*m + 6*m - 18. What is the remainder when 32 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 39.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*n**2 + 0*n**2 + 3*n**2)*(0 + 0 - n) - 4*n**2 + 4*n**2 + 3*n**3 to the form s*n + x*n**2 + c*n**3 + r and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**4\/6 - t. Let k be (10\/3)\/((-2)\/(-3)). Let u(a) = 4*a**2 + 1. What is k*d(q) + 2*u(q)?\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - (-21180)\/420 - (-118)\/(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351042 and 352641?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s = -21. Suppose 3*g - 5 = s. Put -2, g, 1 in decreasing order.\nAnswer: g, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**35)**23*(c*c**(-3\/19))**(2\/13) assuming c is positive.\nAnswer: c**(-193122\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1, 0.1, -2\/7, 2, 446 in descending order.\nAnswer: 446, 17, 2, 0.1, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64481583 and 381.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*x**2 + 0 - 4\/5*x.\nAnswer: -4*x*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 30. Let k(j) be the third derivative of -1\/660*j**6 + 0 + h*j**4 - j**2 + 0*j + 1\/330*j**5 + 0*j**3. Factor k(i).\nAnswer: -2*i**2*(i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -11 + 6 - (4 - (-7 - 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169926 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-5)\/2). Suppose 3*z = -15, 0*z = 4*x + z + 13. Which is the closest to 2\/3? (a) x (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (2 + 0))*(-6)\/(-480)*32.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*5\/(-40))\/(1\/3*3\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32565, 130256, 293075, 521022, 814097, 1172300, 1595631?\n\"Answer: 32564*y**2 - y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5315200856 to the power of 1\/2, to the nearest integer?\nAnswer: 72905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 510 + -348. Let m = 481\/3 - f. Let r = 1438 + -1438.4. Which is the fourth biggest value? (a) 1 (b) r (c) m (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293225.6 nanograms to grams.\nAnswer: 0.0002932256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314340?\nAnswer: 2, 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, 1, -10, -2, 214 in decreasing order.\nAnswer: 214, 1, 0, -2, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*l + 21, 3*c + 3 = 5*l + 2. Suppose 5*x + 23 = c. Let h = x - -6. Solve 0 = r + h*f - 5 + 2, -3*r - 3 = 2*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + -211222113?\nAnswer: -211222300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - -22302013?\nAnswer: 22302110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -2*n - 243. Solve 0 = -4*a - 5*b - 1, -n*a - 2*a - 5*b = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2822983.\nAnswer: 73, 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*g = 3807757 + 13831117. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1119523422 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67214, -134422, -201628, -268832?\nAnswer: -336034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1771147197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*w - 2, -4*p + 8 + 3 = -w. Suppose p*t - 240 = -t. Suppose z + 3*z - t = 0. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {b: 1, o: 4, k: 4, c: 3, h: 1, j: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795010 is divided by 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3610*z + 168 + 14272 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-1*15)\/5. Suppose 0 = -3*t - 3*v + 48 - 15, -3*t = -5*v - w. What is the smallest common multiple of t and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1460 = 9*f + 11*f. What are the prime factors of f?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 - 57*m**2 - 73*m + 74. Calculate g(-17).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5077 - -5120. Solve -k*h + 2 = -45*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-48))\/(((-1)\/543)\/(-1)). Let u = 185 + y. Solve 8 + 4 = u*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1794, -802, 1896, 7152, 15818, 28746, 46788, 70796?\nAnswer: 101622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 121, 125?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, 2, 23, 56?\n\"Answer: 6*s**2 - 9*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-21)*(-224)\/240?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -72*a - 40. What are 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 r = 1 + -2. Let m = 6 + r. Suppose -4 = -m*n + 6. Solve 3 = 5*a - n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 877880896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l**3 - 4*l**3 + 57*l**3.\nAnswer: 108*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 12\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -30775 at most as big as -30777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 226*c**3 + 2*c**4 - 91*c - 474*c**3 - 2 + 250*c**3 - 16*c**4 to the form y*c**2 + o*c + i*c**3 + m + p*c**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106309 is divided by 52681.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 18028*w**2 + 7. Let u(k) = 9018*k**2 + 4. Determine -4*b(x) + 7*u(x).\nAnswer: -8986*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12278 - -12285. Sort 34, 5, i in increasing order.\nAnswer: 5, i, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -z - y, 5 = -33*z + 34*z - y. Let r be 18\/(-45) + 144\/z. Solve 2*o = -3*s - r, 4*s - 3*o = -o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1156+-577\nAnswer: -576.8844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**3 + 1 - 1)*(7 - 8 - 13 + (23 - 1 - 5)*(5 - 2 - 2)) to the form b + d*t + y*t**2 + f*t**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12ba0 + 4?\nAnswer: 12ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1724 and 4.\nAnswer: -6896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316.91 - -319. Let p = h - 0.09. Which is the nearest to 0? (a) 0.2 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.38 + -0.08. Let j = -1.1 + 1.68. Let d = 0.08 - j. What is the nearest to 0.2 in 1, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8341761, -33367043, -75075847, -133468173, -208544021?\nAnswer: -300303391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 87 - 333. Suppose -5*w + q = -117. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 8*m. Let l(s) = 5*s**2 - 36*s. Let r(i) = 4*l(i) + 18*q(i). Let k(v) = -173*v**2. Calculate r(k(g)).\nAnswer: 59858*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 360328 to the power of 1\/2, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3*x**2 + m**3 + 166*m**2*w*x + 130*m**2*w wrt x.\nAnswer: -4*m**3*x + 166*m**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289\/438 - -1\/146. Let i(r) be the second derivative of 2*r**2 + 21\/20*r**5 + 0 + 3*r - k*r**3 - 41\/12*r**4. What is z in i(z) = 0?\nAnswer: -1\/3, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-25))\/((-1)\/(-5)). What are the prime factors of (3 - 2)\/(p\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1127, -2249, -3371, -4493, -5615, -6737?\nAnswer: -7859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 115*q + 114*q = 12, 2*q = 3*s + 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22061569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 o, and 1 h when four letters picked without replacement from {o: 4, d: 1, h: 8}?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(320) + sqrt(605)*-1)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4 - 3. Let k = 4 - z. What are the prime factors of ((-2)\/k)\/(1\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = 8. Suppose -2*g = 3*a, -j*a + 3*g - 12 = g. Let n = -14\/15 - -4\/15. Are a and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 4)*(156*h - 109*h + 274*h) to the form y + u*h and give u.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(24) - (sqrt(96)*-1)\/sqrt(4))\/sqrt(8))**2.\nAnswer: -16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 5. Let y be l(4). Suppose 2*m + 3*q - q - 76 = 0, -y*q - 166 = -5*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, 7, 504 in decreasing order.\nAnswer: 504, 7, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 5, -3.\nAnswer: -84, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/2, -64\/7, -6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 6*x**2 - 4*x - 5. Let r = 12 + -5. Let b = r - 3. Calculate the remainder when 32 is divided by q(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-618)\/515*(39\/(-24) - -1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/(15\/(-1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/((-426)\/(-138)) - -3*(-6)\/2 - 5\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*t + 4 = 23, 5 = -5*a - 2*t. Suppose 2*j = 3 + 7. Let g = -4 + j. Calculate the remainder when g is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11001111011000110 (base 2) to base 12\nAnswer: 51546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 u, 1 y, and 1 r when four letters picked without replacement from {r: 1, a: 1, y: 1, w: 2, u: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28780?\nAnswer: 2, 5, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257598061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 448382 and 4035438.\nAnswer: 4035438","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l - 24. Let o be f(13). Solve 3*c - 2 + 11 = 0, -c = 4*z + o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.46 + -0.57. Let v = -0.85 + c. What is the third biggest value in -0.2, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/7)*s)\/s**(-3\/40) assuming s is positive.\nAnswer: s**(421\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2.8. Let a = -1.3 + z. Let j = a + 3. Put j, -0.3, -0.1 in increasing order.\nAnswer: j, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:12 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 10 - (-18 + -19)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqgeygec. Give prob of sequence ggcy.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from nbbbbntntnbnntnn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96160625 plus 1336?\nAnswer: 96161961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1501 divide 259440345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2844 and -1?\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -16*c**2 + 1712*c + 36. What is k(107)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (6 - (4 - 1))) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-3 - 6) + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1124888 divided by 16.\nAnswer: 140611\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -281, -26, 1 in ascending order.\nAnswer: -281, -26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21415813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7 + 13 = 0. Let m(q) = q - p*q + q. Let a(r) = 3*r**2. Calculate a(m(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 10. Give b(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13686 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 6*r**2 + 6*r + 10. What is the units digit of g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15005\/37087 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29540198671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.96? (a) 1 (b) -1\/3 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25, 78, 133, 190, 249, 310?\n\"Answer: z**2 + 50*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/15 + (-4)\/6. Solve 4*a - 16 + 4 = f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**2 + 8*j - 29. Determine y(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 748559136?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 6*h**2 - 16*h - 74. Determine o(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3140 (base 5) to base 6.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/23)\/(t**3\/t))\/(t**2)**(20\/9))\/((t**(-2\/3))**(2\/21)\/((t**(5\/4)*t*t)\/(t\/((t*t\/(t**(-2\/11)\/t))\/t)))) assuming t is positive.\nAnswer: t**(-43271\/21252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -152355276537153 and -0.5?\nAnswer: 152355276537152.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3831\/4 + 958. Let m(r) be the first derivative of -1\/2*r**2 + 0*r**3 + 2*r - u*r**4 - 6. Determine m(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-2 - 3)\/(-20)). Let u be ((-10)\/t)\/((-15)\/90). Let w be -4 - 4\/6*u. Let h(z) = -z - 5. Calculate h(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-6) - 4\/12. Suppose -6 - x = -3*r. What is the tens digit of 2\/(r - 58\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102102 + 0?\nAnswer: 102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a millennium in centuries?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**5 - 2490*o**4 + 11714*o**3 + 1716*o**2 + 6771?\nAnswer: -60*o**2 - 59760*o + 70284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 19*l + 17*l + 3237, n + 5*l = 3228. List the prime factors of n.\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -cc?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + l + 30, 1 = -3*k - 2*l + 6. Let o be (-7)\/(-2)*(-6)\/(-21) + 0. Let i = k - o. Let y(m) = m**3 - 3*m**2 - 5*m - 2. Give y(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*b + 1975 + 6460 = -129*b for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**(-1\/6))\/b)**(1\/77))**(-44) assuming b is positive.\nAnswer: b**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o*r**4 + 797*o*r**2 - 105399*r**4 + 117*r**2 wrt r.\nAnswer: 48*o*r - 2529576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 2. Let x = 5 + u. Is -2 - (x - 4) - -14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -42, -9, 5.\nAnswer: -42, -9, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -25, -27, -29?\n\"Answer: -2*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, -0.02, 2, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2. Let o = 19 - 16. Let v(p) = -18*p**2 + 10*p**2 - o*p**2 - 14*p**2. Calculate v(i(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-14) + 3982\/1267?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 12*m - 16. Calculate x(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51236 + 923747.\nAnswer: 974983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30*(3 - (-25)\/(-10)). Let q be 1\/(-4) + h\/(-60). Let t = -1.344 + 2.544. Which is the third biggest value? (a) 0.5 (b) t (c) 1\/7 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 242549.3\nAnswer: 242549.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2393738129?\nAnswer: 31, 661, 116819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d**2 + 628*d + 629. Calculate u(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 = 43*m - 7*m - 5*k - 0*k, -3*m + 247*k - 478*k + 236*k = 42 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 + 3 - 2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 - 7*n**2. Let v be 15\/(-2) - (-1)\/2. Let q = v - -4. What is the lowest common multiple of s(q) and 44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 + 108 - 1151*x - 188 to the form f*x + l and give f.\nAnswer: -1151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 482*x**3 - 8*x**2 + 9*x - 1. Give r(1).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**(-39)\/(k*k**(1\/3)\/k*k)**(1\/2))\/((k*k**6)\/(k\/k**0)*k**(-3)*k*k**(-1)) assuming k is positive.\nAnswer: k**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/63)*a**22)\/((a\/a**(-13))\/((a**(-4\/13)\/a)\/a)) assuming a is positive.\nAnswer: a**(4688\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, 1 h, and 1 d when four letters picked without replacement from ooohoqxoofhhodoh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29+3726.1\nAnswer: 3697.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488112, 488162, 488212, 488262, 488312, 488362?\nAnswer: 488412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (63\/6)\/(3\/8). Suppose 5*p + h = 5*h - 13, 5*p + z = -h. Let m = 2 + -2. What is the smallest value in p, m, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 96. Suppose -3*k + 8*k + 66 = 4*t, -2*k = -2*t + g. What is the greatest common factor of 126 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/2 - 1\/4. Let q = -11 - -7. Suppose -3*p = -4*p + 1. What is the smallest value in q, s, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 1\/9, -0.2, 0.2021, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42637976, -42637975, -42637974, -42637973?\n\"Answer: h - 42637977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1173*l - 50915 + 10237 = -2304*l + 77540 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145080854?\nAnswer: 2, 5813, 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-48))\/(385\/4928)*10\/(-588).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*u + 30, 2*u + 29 = 2*s - 3*u. Suppose -s*x + 5336 = 394. Suppose -55*n = -53*n + x. What is n rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(r**2 + r**2 - 3*r**2) + 23*r**2 + 21*r**2 - 55*r**2 to the form t*r**2 + p + f*r and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from hdiiddhhidhlhhdndi?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:23 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -40732024 divided by 41\nAnswer: -993464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*u = -3*u - 9, 19 = 3*b + 2*u. Suppose 0 = b*a - 13 - 12. Suppose 0*m - 21 = -4*m - a*f, -2*f - 18 = -5*m. Sort -2, m, 3 in descending order.\nAnswer: m, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Suppose -x - 6 = -r*x. Suppose -b + 23 = 5*o, -167 = -5*b + x*o - 2*o. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*x + 5, x - 158293 = -2*t - 158308 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 20*f**3 - 7*f**2 + 35*f + 37. Let q(c) = -7*c**3 + 2*c**2 - 12*c - 12. Let d(z) = 6*b(z) + 17*q(z). Let i be d(7). Solve i*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -2*g**3\/3 + 31*g**2\/2 - 13*g - 27. What is the lowest common multiple of u(15) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 171, 529, 1079, 1821, 2755, 3881, 5199?\n\"Answer: 96*g**2 + 70*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -529\/3 - -176. Which is the fourth biggest value? (a) 3 (b) l (c) -3 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -450617*m**6 - 13*m**3 - m**2 + 6335937*m.\nAnswer: -54074040*m**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 7 = -v + 7, -4*a = 3*v - 137. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 18*w**2 + 308*w + 489. Calculate c(29).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 - 6*v + 8. Let g be m(8). Round g to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003666 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k - 16. Let i be l(5). What is the second derivative of 38*u**4 + 44*u**4 - 35*u**i + 11*u - 3*u wrt u?\nAnswer: 564*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0898 + -0.0042. Let y = -0.004 - f. What is the second biggest value in 3, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*n - 17 = 0, n + 2*n = 2*c - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97336763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -308 (base 10) to base 11.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -13*v**7\/210 + 7*v**6\/24 - v**5\/30 - 2237*v**4\/8 - 7139*v**2. What is the second derivative of d(b) wrt b?\nAnswer: -156*b**2 + 210*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4370 - -4414. What is the highest common divisor of r and 1298?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 882.5 - 883. What is the fourth smallest value in 1\/5, 30, 0, g?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23094)\/21 + (-20)\/70. Round f to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2881516534 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 9*a**2 - 13*a - 5. Let i be v(7). Suppose i*t = -58 + 196. Suppose -2*b = -463 + t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1075 greater than or equal to -817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1108340586 to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 5*q**2. Let d be h(-5). Let x be 7\/((-140)\/(-425))*(-3)\/45. Let y = x + 7\/6. Which is the closest to d? (a) -3\/2 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -75\/11 in -2, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**8\/112 - z**7\/35 + z**5\/10 - z**4\/8 - 35*z**2 - 40*z + 1. Let o(v) be the first derivative of l(v). Factor o(r).\nAnswer: 3*r*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2136972.6ns?\nAnswer: 0.0000005936035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 1. Let w be f(1). Let s = 3\/2278 - -50077\/29614. What is the nearest to 0.1 in s, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 272 = 5*t, y - 163 + 63 = 2*t. Let o = 121 + t. Suppose 6*f - 3*f = o. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -58\/7 - 64\/21*k - 2\/21*k**2 = 0.\nAnswer: -29, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/(-6) - 6\/2. Is -1 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-4042)\/(54\/99 - (-112)\/(-44))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -501941*h**4 + 486044*h**2 wrt h.\nAnswer: -12046584*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169187 and 734?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 14. Suppose 0 = 2*i - b*i. Suppose i = 4*o - 4*c - 12, -5*c + 17 + 10 = o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 48371508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*p - 28 = 0, 3*q - 5*p = -10*p - 44. Let m = q + 1. Let w = m - -10. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274*b + 33*b**4 + 219*b + 53*b + 36 to the form d*b**4 + i*b**2 + a*b + f + w*b**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43836558?\nAnswer: 2, 3, 7306093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**3 + 268*g**2 + 842*g + 12. What is b(-30)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 19*q**2 - 9*q + 14. Let z be a(20). Calculate the greatest common divisor of z and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*m - 19 = 0, 5*v - 3*m + 8*m = -5. Put v, 5, -5 in decreasing order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 461.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 68.93.\nAnswer: -68.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -12. Suppose a + 3*a + 4*g + 28 = 0, 0 = 7*g + 21. What is the smallest value in -1.6, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*q - 21, -o - o = -q - 7. Suppose -4*p = o*m - 1862, -p = -m - 106 + 482. What is the remainder when m is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 1046074 - 1046076 + r + 71*r**3 in the form o*r + p*r**3 + z*r**2 + y and give p.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 12*p + 18*p + 297 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(6\/(-4)))\/((-16)\/(-12))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15595*x - 15592*x + 2*a + 16 = 0, 4*a + 18 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -1\/2, -0.4 in descending order.\nAnswer: 0, -0.4, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -11*b**2. Let k(v) = v - 3. Let l = 0 + 3. Let x(g) = -6 + 2*g - 4 + 3. Let i(u) = l*x(u) - 7*k(u). Calculate i(o(q)).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/30*(-35)\/14. Suppose 0 = -2*t - 11 - 13. Let i be (h\/5)\/(t\/40). Solve 3 = -m - i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.072 - 11.172. Let g = 11 + t. Which is the third biggest value? (a) g (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 13*j**3 + 0*j**3)*(-2*j - 2*j + 0*j) + (3*j + j - 3*j)*(0*j**3 + 2*j**3 - 4*j**3).\nAnswer: -50*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 97. Suppose -x = -2*k - 38, 123 = 5*x - 2*k - g. What is the greatest common divisor of x and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 7092 = -9*h. Is 38 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 9 + (0 - 11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ennnknenk. Give prob of sequence knnn.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11121 or -11041?\nAnswer: -11121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3 - -2)*1. Suppose -x + 1 = 3. Is x at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + -1 + -2.\nAnswer: -3 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19337c30 + -3?\nAnswer: -19337c33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:45 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6872305 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -564.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 1\/6*h**6 + 3 + 0*h**5 + 0*h + 1\/2*h**2 - 1\/2*h**4 + 0*h**3. Factor n(q).\nAnswer: q*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1390296 divided by -1093.\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 minus -0.88886121321?\nAnswer: -19.11113878679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(3*4\/(-158400)). What is x rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 12.80701169\nAnswer: 12.70701169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 - 17*z**3 + 7*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, p: 1}. Give prob of picking 3 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 73899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -15. Let t(d) = 3*d**2 + 10*d - 16. List the prime factors of t(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/4 + 135645*w**2\/4 - 230079330*w + 1149549025.\nAnswer: -5*(w - 13562)**2*(w - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*d - 20 = 4, s - 5*d + 18 = 0. Let b(t) = -4*t - t**s + 3*t + 2 - 4*t. Let n(g) = g**2 + g - 1. Let w(f) = -b(f) - 2*n(f). Factor w(y).\nAnswer: -y*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128732 (base 11) to base 12.\nAnswer: -9899b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and -43025?\nAnswer: -7314.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/((-27)\/84))\/((-22)\/1155)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99400 and 7368.\nAnswer: 91547400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 228\/(-1 - (-7)\/4). What is the greatest common factor of 40 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 13054 - 4656. Calculate the greatest common factor of o and 5819.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbddodxbx. What is prob of sequence dxbx?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/11420 and 119\/48?\nAnswer: 137040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 7*h**2 + 4*h. Let z be n(-6). Let q = 16 + -6. Let a = z + q. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153122.\nAnswer: 2, 76561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**27)**(12\/5)\/((c*c**(-2\/37))\/(c*c\/c**(-8))) assuming c is positive.\nAnswer: c**(-9869\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937*h**2 + 1 + 368*h**2 - 234*h**2.\nAnswer: -803*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdx when three letters picked without replacement from cdcdgccccccgcxdc.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) -5 (c) 0.14 (d) 1.3 (e) 5 (f) -15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 7*i + 4. Let p be k(9). Let r be 10\/(-245)*p\/40. Is r bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 519, 1155, 2045, 3189, 4587, 6239?\nAnswer: 8145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 + -1.2. Let q = x + 0.22. Round q to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -14*h**2. Let b(w) = 2*w - 10. Let f(a) = 1. Let p(n) = b(n) + 10*f(n). Calculate p(k(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*c = 21 + 21, 0 = 5*a - 168*c - 35*c + 2842 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*(sqrt(637) - (-2 + sqrt(637))) - ((sqrt(52) + (sqrt(52) - sqrt(312)\/sqrt(6)))*4)\/sqrt(4)))**2.\nAnswer: -288*sqrt(13) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113936338 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -34. Suppose m = h + 3*h, -3*m - h - w = 0. Suppose 8 = -5*u + 3. Put m, u, 3 in ascending order.\nAnswer: m, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6317*g + 3227. What are the prime factors of s(-6)?\nAnswer: 11, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 4*x - 8*x + (-2*x + 0*x + x)*(20 + 16 - 31).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/7 + 100*y\/7 - 864\/7 = 0.\nAnswer: -108, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 23*m - 20*m. Let y = 58 - m. Calculate the remainder when (20\/(-15))\/(6\/(-621)) is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrttdrtntrtzjj. What is prob of sequence nr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-15)*3\/(-9)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 11 = -3*c, c = 2*c + 5*h - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10217 times -3?\nAnswer: -30651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003922430392 to 7 dps.\nAnswer: -0.0003922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41\/809 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 495693 (base 10) to base 2\nAnswer: 1111001000001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2515 + -20149\/8. What is the common denominator of 55\/42 and c?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29400, -29418, -29412, -29370, -29280?\n\"Answer: 2*u**3 - 32*u - 29370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 0.009, -4, 1?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 0.4, -170, -20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3696, -3806, -4020, -4362, -4856, -5526, -6396?\nAnswer: -7490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**3\/3 + 8*g**2 + 20*g - 111. Give j(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - w + 5*w + 16 = 0, -12 = -4*n + 3*w. Suppose n = 3*m + 2*q + 25, 2*q = -5*m - 0*m - 47. Let b = m + 15. Let h(o) = -3*o + 4. Calculate h(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 4*f + 3. Let w(v) = v**3. Let a(s) = b(s) + w(s). Give a(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*b**4 + 56*b**4 - 149*b**4 + (3 - 3 - b**3)*(-2 + 2 + 4*b).\nAnswer: -73*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.96388 - 1\nAnswer: -1.96388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 4*h + 17*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -498 divided by 1502671.\nAnswer: -498\/1502671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 930\/(-45))*6*13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.046*-0.1\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -755, 317.\nAnswer: -755, 1\/8, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 12:39 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 8:48 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 3*t + 27, -73*o + 4*t - 28 = -75*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, 4\/5, 6\/7, -0.1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 3. Let w be g(1). Suppose 4*i + 4*j = 2788, -w*j - 131 - 1988 = -3*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16883 - 16883 + 21*s**3.\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -1\/6*q**3 + 2 + 7\/2*q**2 + 21*q. Give l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**3\/18 - w**2\/12 + w\/3 + 39. Factor s(c).\nAnswer: -(c - 1)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20000421 - 2303?\nAnswer: 14443113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 577, 2.5, -30, 1\/5.\nAnswer: -30, -2, 1\/5, 1, 2.5, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9282271 decades to months.\nAnswer: 111.387252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.98 in 2, -14, 105, 2\/5, -43?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -23)*(-18)\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15791420*p**3 - 526*p - 14874.\nAnswer: -94748520*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + v - 40*v**2 + 59 - 59 - 44*v**2.\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*g = c - 10, 5*c = -5*g + 10. Suppose 5*l + 6 = x, -l - 3*l - c = x. Is l > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1507226 to the nearest 10000.\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33112302 (base 4) to base 15.\nAnswer: -13983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))\/f*f*f)**(4\/9)*(f*((f\/f**(-1\/2)*f)\/f)\/f)**(-31) assuming f is positive.\nAnswer: f**(-829\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 12. Let k be v(-11). Let r be (k\/4)\/(-6 - -4). Let j = -50 + 43. Which is the nearest to 2\/7? (a) j (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**4\/24 - 3*s**3 + 79*s**2. Calculate u(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*k**2 + 11 + 87*k**2 - 56*k**2 in the form r*k**2 + f + y*k and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -42, -67, -98?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3124 - -528. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2693 - -2785. Calculate the highest common divisor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 99447873906669.\nAnswer: 99447873906664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 50a33 (base 13) to base 14\nAnswer: 3a961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21703542755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1414, -4933, -10786, -18967, -29470?\n\"Answer: h**3 - 1173*h**2 - 7*h - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {z: 3, r: 4, l: 3, m: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1983*w - 5963. Give x(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -2, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, 3, 17, 37, 63, 95?\n\"Answer: 3*y**2 - y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*k + 28 = -225*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) - 2\/(-4). Let n(r) = -5*r**2 + 6*r + 3. Let c be n(-2). Let g = 34 + c. Solve -g = -v*b + 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0 - 22*p - 3\/4*p**4 + 1\/14*p**7 + 0*p**2 + 3\/10*p**6 - p**3 + 3\/20*p**5. Factor u(d).\nAnswer: 3*d*(d - 1)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7319921?\nAnswer: 7, 19, 47, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-5 - -2 - 0) + 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 m, and 1 z when four letters picked without replacement from mzaamaamzamz.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/11 (b) 1\/13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + -0.37. Let q = -5215 - -5213. What is the nearest to q in s, -4, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-120)\/(7200\/(-420)) - 1027\/(-1). Suppose 0*y - 94 = -y. What is the highest common factor of y and j?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = 3*p + 12, 4*z - 19 = -3*p. Let n be -1*(-15)\/2*2. Suppose -3*c = -z*c + n. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17864, -17904, -17990, -18140, -18372, -18704?\n\"Answer: -3*s**3 - 5*s**2 - 4*s - 17852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-25 + (-5 - -2)). Let w = -33 + g. Does 13 divide (30\/w)\/((-12)\/64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + y**2 - y. Let n(v) = -5*v**3 + 32*v**2 + 63*v + 3. Let u(b) = 6*c(b) - n(b). Let k be u(-23). Sort k, 23, -2.\nAnswer: k, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1235674?\nAnswer: 12356740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 6 - 5 + l + 20 - 21*l**2. Let v(j) = 22*j**2 - 3*j - 20. Let u(p) = 3*i(p) + 2*v(p). Find the first derivative of u(x) wrt x.\nAnswer: -38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188004.\nAnswer: 2, 3, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4.84. Let t = m - -0.29. Let g = -27\/70 - -143\/280. What is the third biggest value in 2\/17, g, t?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.13, -32\/21?\nAnswer: -32\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(3675\/14) + 17\/(-119).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 724565848?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(396) + -5*(sqrt(396) + (sqrt(396) - (1 + sqrt(396) + sqrt(396)))) - (-1 + sqrt(396))*3*-1)*1)**2*-5.\nAnswer: -31860 - 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 2*b**2 + 1164*b**4 - 2*b**3 - 1 - b - 1165*b**4 in the form z + w*b**3 + j*b**4 + c*b + a*b**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = -310 - 200. Let g(d) = -d**3 + d**2 + d - 15. Let w be g(0). Let r = w - b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -507 (base 9) in base 4?\nAnswer: -12130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:56 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1317*z**2 + 1184*z wrt z.\nAnswer: -2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l*l\/(l**(-4)*l))\/l)\/l*l))**47\/(((l\/(l**(-10)*l))\/l)\/l**(-3)))**(4\/33) assuming l is positive.\nAnswer: l**(-204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/7, -4, -9, 0.085?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {v: 2, l: 4, m: 3, q: 9}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*0.4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3351572*x - 2*x**2 + 3351586*x - 6703158*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -12 in ascending order.\nAnswer: -12, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - -33 - (1 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1162 divide 115935064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2108507\/8 + -263221. Let h = w + -341. Calculate the common denominator of h and 97\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29900 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4927 + 8283. What are the prime factors of g?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/36 + (-2)\/(-8). Let d = -2250 - -4049. Let f = d + -1804. What is the third biggest value in 3, 2\/13, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(90\/48) + 4\/(-10). Let u(g) = -31*g - 25. Let l(p) = -121*p - 99. Let m(n) = s*l(n) + 9*u(n). Differentiate m(y) with respect to y.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 3*c - 1. Let l be (-1)\/(-7) - 228\/(-21). Let x = l - 16. List the prime factors of n(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5453.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 6*c**2 - 5*c + 4. Let v be h(5). Let r be (45\/(-18))\/((-1)\/v). Is r*-4*(-12)\/80 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-1\/3)))\/n**(-3))\/(n*n\/n**8)**1)**(6\/5) assuming n is positive.\nAnswer: n**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8766077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -224*t**4 + 223*t**4 - 2*t**2 + 18*t**3 + 11*t**3 - 8*t**3 + 3 in the form u*t**3 + i*t**4 + j + v*t**2 + c*t and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 1 - 4)*(-6*b - 19*b - 9*b) + (-3*b + 7*b - 3*b)*(3 + 2 - 3))*(-2 + 2 + 2*b)*(1 - 1 + 1) to n*b**2 + j*b + y and give n.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2914 and 120629401?\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*t - 9. Suppose -t*y + 2730 - 343 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53703124.946 - -53770764. Let h = n + -67694. Let o = -55 - h. Round o to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1848\/1960 + (-12)\/15)\/((-1)\/2). Let p = 2 + -1.7. Let j = p - -0.7. Which is the closest to 0? (a) y (b) -2\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -6\/7, 21066 in decreasing order.\nAnswer: 21066, 2\/7, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, n: 5}. Give prob of sequence nny.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/98095?\nAnswer: -1\/98095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbdn when four letters picked without replacement from {r: 3, b: 1, n: 3, d: 1, t: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/447320 and 37\/648614?\nAnswer: 12972280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 813288528 * 0.3.\nAnswer: 243986558.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -721710 rounded to the nearest ten thousand?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 22a?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1, 17, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21346971011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1725, 5344, 8963, 12582?\nAnswer: 16201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsrrsdvdvvmj. What is prob of sequence ddsj?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1753 - 1778. Is -43 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2569125329?\nAnswer: 36217, 70937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63717.31 millennia to decades.\nAnswer: 6371731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-2)\/4 - -3*(-491152)\/(-96) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3480\/11 + -24349\/77. Which is the fourth biggest value? (a) 0.04 (b) -16 (c) 4\/5 (d) z (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.21 + -0.41. What is the nearest to c in 1, -18, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:42 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/5*850600\/29771\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f - 11*f - 603 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27893 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydddddddyddydddd. What is prob of picking 2 d?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 19*w**2 + 8*w - 14. What are the prime factors of d(-18)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 7*w - w**2 - 11*w + 8*w - 13*w - 22*w = 0.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 22 = -2*v, p + 0 = -5*v - 1. Let w(j) = 7*j - 3. Let u(g) = -14*g + 5. Let r(o) = p*u(o) - 13*w(o). Let z(h) = -11*h + 14. Give 8*r(a) - 5*z(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*u**2 - m**2 + 7*m*u**2 + 15887*m*u + 2*m - 197*u**2 + 1 wrt u.\nAnswer: 2*m**2 + 14*m - 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:54 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 308 = -z - 3*z, 4*z + 5*t - 313 = 0. Let v be (-2)\/(-9) - 302\/(-18). Let m = v + -8. Calculate the greatest common divisor of z and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/3 (b) 7 (c) 45.3 (d) 0 (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6*q - 8 + (-1 + 0 - 1)*(-q - 2*q + 0*q))*(4 + 3 - 4).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184*-29.5827.\nAnswer: -5443.2168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 + 149. Let r(q) = -243 - 17*q**2 + l*q**2 + 243. Let t(u) = 8*u**2. What is -4*r(v) - 9*t(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-9))\/8*-14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 429\/4664845 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4*x + 83*m**3*x**2 - 2*m**2*x + 106*x**2 wrt m?\nAnswer: 24*m*x + 498*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3759940 is divided by 89520.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12221 (base 5) to base 6.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*t - 3*t**3 - 83*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232985341954*z**2 + 1232985341954*z**2 - 512*z**3.\nAnswer: -512*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45125 and 20?\nAnswer: 180500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26718 and 16352?\nAnswer: 2992416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 + 2*w**2 + 1. Determine j(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(2\/3)\/n*n))**(3\/5)*(n*n**(-1\/4))\/n**(1\/2) assuming n is positive.\nAnswer: n**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2942 + 2941.9. What is the nearest to q in -1\/5, -2\/77, -1, 8?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 - 109*k\/6 + 319.\nAnswer: (k - 87)*(k - 22)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 13*f + 5. Let z be y(4). Let c = z - 24. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*g**5\/8 + 501*g**4\/2 - 5181*g**3 + 22332*g**2 + 159786*g + 184680 = 0. What is g?\nAnswer: -2, 18, 380\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -15. Let u(p) = 3*p**3 - 14*p**2 - 11*p - 11. Let a(i) = -i**3 + 5*i**2 + 4*i + 4. Let t = -23 + -18. Let d = 45 + t. Calculate d*u(x) + v*a(x).\nAnswer: x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 9 - 235 = 0. Let p = m - -122. Solve p = -s - 7 + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/2 - 24738*c**3 - 305959583*c**2 + 611993382*c - 612018121\/2.\nAnswer: -(c - 1)**2*(c + 24739)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**13\/h)\/h*h\/((h**10\/h)\/h))**21 assuming h is positive.\nAnswer: h**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 40*z**7\/21 + 79*z**3\/6 - z + 44. Find the second derivative of d(r) wrt r.\nAnswer: 1600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18b (base 14) to base 6\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/16*(-486)\/324 - (-12001)\/(-176).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/11, -77, -3\/44, 4\/5?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81aa6 - -c?\nAnswer: -81a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16501184?\nAnswer: 2, 7, 36833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**4\/12 + d**3 + d**2 + 2869*d. Let r = -10 - -13. Let q be (0 - -3)*7\/r. Determine n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 5) to base 13\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(0*d - d + 3*d + (0 - 3 + 1)*(3*d - 4*d - d) - d + 1 - 1 + 2*d + 2*d - 2*d - d - 2*d + d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/6)*w**4)**(-28)*((w**(2\/3)*w)**27)**(-29) assuming w is positive.\nAnswer: w**(-4321\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4 + -3 + 325625\/(-240500) and -91\/296.\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704044.9 nanometers in meters?\nAnswer: 0.0007040449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 divided by -3.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*w**2 - 16*w.\nAnswer: -4*w*(11*w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1448816 and 103\/5080.\nAnswer: 7244080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 + 3738370*r**2 - 14953504*r + 14953512 = 0. What is r?\nAnswer: -1869189, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1686, 4972, 7236, 5850, -1814, -18384?\n\"Answer: -438*j**3 + 2117*j**2 + j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 36*o - 1. Let d(t) be the first derivative of t**3\/3 - t**2 - 19*t - 35. Let m be d(6). Let j(q) = -m*q**2 + 6*q**2 - 770*q + 770*q. What is w(j(a))?\nAnswer: 36*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 417 + -413. Is (s + (-4 - 0))\/3 + 234 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 g when four letters picked without replacement from mggmgmgggggmgg.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17950 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9786972?\nAnswer: 2, 3, 13, 43, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.155 * 1.05\nAnswer: 0.16275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 75273 divided by 8\nAnswer: 75273\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*v + 13419 - 34155 = 139*v. Which is the second biggest value? (a) v (b) -1\/6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 22*y**2 - 6*y - 25. Let s(v) = -23*v**2 + 7*v + 23. Let t(k) = -4*j(k) - 3*s(k). What is the first derivative of t(l) wrt l?\nAnswer: -38*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*p + 6*p + 5*c, 2*p + 2*c - 14 = 0. Let v be (p + -3 - -3) + 1. Solve 2*s - 8 = 0, -s - 5 = -2*r - v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 4, -6\/5, -7, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, e: 2, b: 7, a: 5}. Give prob of picking 1 p and 1 a.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 29*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 3303.61.\nAnswer: -330.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let b(r) = -2*r + 7 + 6 - h. What are the prime factors of b(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6908, -6915, -6902, -6863, -6792?\n\"Answer: m**3 + 4*m**2 - 26*m - 6887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 2*b - 4*b + (-1 - 3 + 2)*(5*b - 2*b - 2*b) + 2*b - 2*b + 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -955 + 1458. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/5 + 10457*g**4\/5 - 27446827*g**3\/5 + 573312439*g**2\/5 - 4006025576*g\/5 + 9339040732\/5.\nAnswer: -(g - 5218)**2*(g - 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -623 at least -9282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/((-59)\/295).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + r. Let s(v) = 5*v**2 + 3*v + 4. Calculate s(w) - 6*y(w).\nAnswer: -w**2 - 3*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/9*6\/(-4). Let z(b) = -3*b**3 + 2*b**2 + 3*b + 1. Let t(j) = -j**2 + j**2 + j**3 - j**2 - 1 - j. Determine w*t(k) - z(k).\nAnswer: k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:49 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 98?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -4. Let f(b) = b**2 + 2*b - 4. Let g be f(1). What is the remainder when 125 is divided by g\/(-4) + 513\/s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**3 + 2*w**3 - 3*w**3)*(w + 2*w - 2*w) + 27*w**4 - 11*w**4 - 2*w**2 + 9*w**4 to d + h*w**3 + l*w**2 + r*w**4 + t*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2314557 divided by -3.\nAnswer: -771519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -83 (b) -2 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1008 + 9*h + 10*h - 21*h - 5097 + 5*h.\nAnswer: 3*h - 6105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*p = -6*p - 29930, -o + 5*p = 29912. Let b = -76440 - o. Let q = b - 117482. Round q to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3883745 to the power of 1\/2, to the nearest integer?\nAnswer: 1971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i + 0 + 0 = 0. Let z(m) be the third derivative of i*m**3 + 1\/12*m**5 + 0*m + 0*m**4 + 0 + m**2. Let s(l) = 2*l. Calculate z(s(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2372)\/28 - 2\/7. Suppose 90 + 450 = -3*q. Let w = s - q. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*z - 275 = -1631. Solve 5 = 5*u + 5*o, 4*u - z*o = -13*o - 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -55.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 14*z - 13. Let h be q(13). Let m = 28 + h. List the prime factors of (28*m)\/(2\/5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -15, -23, -31, -39?\n\"Answer: -8*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1534495462 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, -24, -5, -9, 438?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176374\/5 or -35274?\nAnswer: -35274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, 2, 2\/7, 0.4 in increasing order.\nAnswer: 2\/7, 0.4, 1.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92\/25 + -1979\/300. Find the common denominator of q and 29\/4016.\nAnswer: 12048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 63*h - 2 - 37*h)*(-h + h + h**2).\nAnswer: 26*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -20. Which is the closest to 0.1? (a) 4 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 3 (c) -0.1 (d) 0.3 (e) -1\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/16)\/(9\/(-48))*(-490)\/392?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9675, -19009, -28333, -37641, -46927, -56185, -65409, -74593?\n\"Answer: k**3 - k**2 - 9338*k - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -602764*t**5*x + t**3*x**3 - 2780*t**2*x**3 + 114*t*x**3 wrt t?\nAnswer: -36165840*t**2*x + 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(0 + 1 - 6)*(5*j - 6*j + 0*j) as q*j + b and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 6*b**2 + 2*b - 9. Let o be z(6). Suppose 4*p = o - 3. Suppose 3*u + 405 = -p*x + 3*x, x = 4*u + 141. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 17*f**2 - 16*f + 4. Let s be a(-16). Solve 4*p - 4*l + 9*l = 17, s*l = 3*p + 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*v**4\/9 + 1340*v**3\/9 + 4*v**2\/3 = 0 for v.\nAnswer: -1\/112, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 + 109\/2)*-4*222\/28.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-2)\/(6\/(-1449)). Is (4 - 7)\/((-3)\/o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 5*d - 12. Let q be y(-7). Let t(r) = 97*r**3 + 2*r**2 + 3*r - 3. Is t(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-1 + 1 - z**3) + 0*z**3 + 2*z**3 - 4*z**3 + (-1 + 2*z + 1)*(-3*z**2 + 0*z**2 + 0*z**2) - z**2 + 3*z**3 + 2*z**2 - 4*z**3.\nAnswer: -7*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -440907, -440890, -440851, -440778, -440659, -440482, -440235?\n\"Answer: 2*y**3 - y**2 + 6*y - 440914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 340 - 37 = 0. Let g = t - -24. What is the highest common divisor of 50 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -251 + 136. Let n(d) = 9*d**2. Calculate the remainder when z is divided by n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 40, -4, 0 in increasing order.\nAnswer: -4, -1, 0, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 0*w + 0 - 2\/7*w**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from urror.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30160 + 13?\nAnswer: 30203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 17823?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -11, -4, 5, -6, 0, -97 in descending order.\nAnswer: 5, 0, -4, -6, -9, -11, -97","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -202*q + 4*r = -72 - 1132, 5*q = -r + 32 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-1\/8)*m\/m**(2\/37))\/(m**(2\/9))**(-1\/26) assuming m is positive.\nAnswer: m**(106649\/34632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + 6*sqrt(12)\/(sqrt(20)\/sqrt(5)*2).\nAnswer: -4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -23, -11, 4, -3 in increasing order.\nAnswer: -23, -11, -6, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azyy when four letters picked without replacement from aaazazzazzazzzyzy.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13\/4 + 4. Let y = 0.1 + -0.3. Let p = -0.2 - y. What is the biggest value in -3, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126\/5*j**2 + 1842\/5*j + 144.\nAnswer: -6*(j - 15)*(21*j + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4\/5 (b) 0.5 (c) -0.4 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 2*z**3\/3 + z**2\/2 - 4*z. Let h(v) = -21*v - 4. What is -11*d(i) - 2*h(i)?\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 22*g + 91. Let v be s(-21). Suppose -10*b = -v - 128. What is the lowest common multiple of b and 174?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 564026 and 4382.\nAnswer: 3948182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -24, -36?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8955318927.19998921 + 8955318987. Let r = -59.8 + z. Round r to seven dps.\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(2\/(-4) - 2). Let r be (-3)\/(-15) - 178\/j. What is the common denominator of -35\/6 and 255\/r*6\/(-16)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1372741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**9\/3024 + q**7\/168 + q**6\/72 - 29*q**4\/6 + 2*q - 16. Let d(f) be the third derivative of u(f). Factor d(l).\nAnswer: -5*l*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1349\/66 + -212\/11. Let t(y) be the second derivative of -4*y + 2*y**2 - 5\/12*y**4 + 1\/20*y**5 - a*y**3 + 0. Calculate t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 99\/21 - (-16)\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -363868?\nAnswer: 363876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -14*h**2 - 8*h + 54. Let y be z(6). Let t = y - -513. What is the remainder when 53 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x + 40. Let o = -274 + 543. Suppose -3*z - o + 980 = 0. What is the remainder when z is divided by p(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(12\/5)*k*k)\/k**(-6\/7) assuming k is positive.\nAnswer: k**(219\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*b + 4, -84 = -10*p + 7*p + 18*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 5. Does 6 divide f(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 417 - a + 0*a - 424. Let h(o) = -1. Determine 14*h(s) - 2*m(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 6862860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -54. Calculate the remainder when 64 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/800 and 29\/1690.\nAnswer: 135200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**2\/11 - 1380*n\/11 - 2768\/11 = 0.\nAnswer: -2, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5273*b - 681*b**2 + 904*b**2 + 5273*b. Let i(l) = 3*l + 0*l - l. Determine d(i(n)).\nAnswer: 892*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*-1*sqrt(68) - ((sqrt(68) - (sqrt(68) + 0 + 3)) + 2))**2 + 1.\nAnswer: -64*sqrt(17) + 17410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.097 in -2\/55, -4, -41?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {i: 3, z: 2, k: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j. Let b be w(-4). Let x be 1*16\/(-2) - 0. Let n be 10\/x + (-5)\/b. Is -2\/5 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + (4620\/(-49))\/10. Let f = -0.3 - -0.2. Which is the nearest to f? (a) x (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736674044.\nAnswer: 2, 184168511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2 - -3) + 4 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111180958.\nAnswer: 2, 7, 7941497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3188.7 * -6.245\nAnswer: 19913.4315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (sqrt(6655)*-2)\/sqrt(5) + ((sqrt(275) + (sqrt(275) - (-2 + -2*sqrt(275))) + sqrt(275) + -5)*-3)**2.\nAnswer: -1372*sqrt(11) + 61954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7029 is divided by 3301?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5524401 (base 8) to base 4.\nAnswer: -11222210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - (sqrt(132) - ((sqrt(132) - (sqrt(132) + sqrt(132)*4)) + sqrt(132))))*4)\/(sqrt(1200) - -1*sqrt(1200)).\nAnswer: -11*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 4 + 5)*(-5*v - v + 4*v) - 3*v + 4*v + 0*v + 2*v - 5*v + v)*(2 + 0 + 0)*(-92*v**2 + 10*v**2 - 147*v**2) as i + g*v**3 + x*v + t*v**2 and give g.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*w + 135*w + 225*w - 33728 = 0. What is the highest common divisor of w and 17272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 + -167.62. Let h = 169.54 + w. Let v = -1.6 + h. Is -1 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020527?\nAnswer: 17, 173, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 26 (b) 2\/5 (c) 4\/3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020450309 is divided by 1674?\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 1\/4*p**3 + 4*p - 1\/24*p**4 - 1\/2*p**2 + 0. Factor o(b).\nAnswer: -(b - 2)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.44*4\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - -54 - (-2 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13020.5 and -495.\nAnswer: 6445147.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 932 and 20.\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 83093 - 260278645\nAnswer: -260195552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 1) + 2 + 112. Let k be (-2 - -4)*-2 + (h - -2). Which is the closest to 0? (a) k (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22679327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 141. Let y(q) = 12*q**2. Calculate y(k(i)).\nAnswer: 48*i**4 + 6768*i**2 + 238572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5442 - -728.6558. What is t rounded to the nearest 10?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*g + 40 - 6, -5*f + 24*g = 26*g + 58 - 14 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 29 = 3*w, -5*y - 3*w - 21 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + (-2)\/4*-9. Suppose 2*x - x - l*c = 358, x + c - 370 = 0. Suppose -4*s = a - x, 368 = 5*s - s - 3*a. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + -1 + sqrt(19) + -6*(sqrt(114)\/sqrt(6))**2.\nAnswer: -115 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -168287 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -124. Let k = n - -100.9. Sort -1, k, 2\/11 in ascending order.\nAnswer: -1, k, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 105 = -5*b, 261*c + b = 264*c + 71 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/66*((-6)\/2)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 50 = -8*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10328259*m**5 - 1448050*m?\nAnswer: 206565180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + c**2 + c + 2. Let y(v) = 0*v + 3*v**3 - 2*v + 1 + 3*v. Let p(l) = -4*n(l) + 3*y(l). What is the tens digit of p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27829351151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1961*q**3 + 0*q - 5*q**2 + q - 1954*q**3 + (0*q**3 + 4*q**3 - q**3)*(-2 + 3 - 3) - 2*q**3 + 4*q**3 - q**3.\nAnswer: 2*q**3 - 5*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvfi when four letters picked without replacement from vfrie?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/28)\/(58*25\/(-80)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 287.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760 + 4161 = -259*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + (3 - (4 + 10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 4. Let m be r(7). Suppose m*n = -7 + 34. Let t = 21 - n. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5\/7 - 512*q**4 - 706252*q**3\/7 - 7241720*q**2\/7 + 16616522*q\/7 - 8664968\/7 = 0.\nAnswer: -169, -13, 1, 1972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:11 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.5 (c) -6 (d) -4 (e) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + 2*y - 2. Let s(c) = 8*c**2 + 9*c - 9. Determine 2*s(z) - 9*t(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57809568?\nAnswer: 2, 3, 281, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*w + 8 - 8)*(1 - 6 + 4)*(-16*w + 4*w + 0*w).\nAnswer: 36*w**2 + 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*k**4 - 2546*k**2 + 11*k + 20910 wrt k?\nAnswer: -660*k**2 - 5092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 288 = 127. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 14*(-2)\/4. Suppose 15 = 4*x - 3*w, -3*w - 33 = -z*x - 6*w. Let j(v) = 5*v - 6. What is j(x)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l**4 + 5*l**2. Let u(n) = -7*n**4 - 3*n**2. Let f(d) = -7*u(d) - 5*y(d). Find the third derivative of f(r) wrt r.\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66802, 133611, 200420?\nAnswer: 267229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.4648285174 and 0.1.\nAnswer: 5.5648285174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -625452 divided by -3?\nAnswer: 208484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -600*b. Let x be u(-3). Suppose 800 = 8*r - x. Suppose 8*f - r = 3*f. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(357\/(-18)))\/(16\/14)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(11))**2 + -1)*-1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 218*a + 29 + 224*a - 443*a - 81.\nAnswer: -a - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8.47 - 7\nAnswer: -15.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 24.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - -2 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 604 = -4*u, -4*u = -0*u - 5*q - 610. Let b be (u\/(-9))\/((-2)\/60). Round b to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24, -0.2, 13, 1\/522?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (93 + 23 - 58)*(23*h + 9*h + 14*h) as v + x*h and give x.\nAnswer: 2668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109\/4 - -27. Sort -0.5, z, 0.1.\nAnswer: -0.5, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/30)\/(((-63)\/30)\/7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - (0 - -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6534 divided by -6.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 26. Give w(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*-4*(sqrt(468) + sqrt(468)*-3*3 - 2*(sqrt(468) + -3))**2.\nAnswer: -17280*sqrt(13) + 1124065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6655996km in meters?\nAnswer: 665.5996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. Let w(l) = -3*l + 6. Let v be 30\/(-20)*(4 + 2). Let n(z) = z**3 + 9*z**2 + z + 15. Let o be n(v). What is o*g(d) - w(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 1\/3, -4\/19, 46?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/4 + 5*i**3\/3 + 2*i**2 + i - 12. Calculate d(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -99, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4929 = -5*g - 1144. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/97 or -76?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-5) + 8\/(-20). Let j be 6\/i*(-1)\/3. Is 1 + j - 4 - -131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -927 - -927.1. What is the nearest to 1 in c, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 11388 + 22786 - 11396 = 4*u, 0 = -6*k - u - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88432\/3 - 29472. Factor -1\/3*u**3 - i*u - 7\/3*u**2 - 4.\nAnswer: -(u + 2)**2*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61 minus 0.28?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (6*-3*(sqrt(136)*2 - sqrt(136)))\/(2*sqrt(8)*-3 + ((sqrt(88) + sqrt(88)*2)\/sqrt(11) - sqrt(8))) + 2)**2*1.\nAnswer: 45*sqrt(17) + 1477\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/9)*m\/(m*m**(4\/7)))\/(m*m\/m**(-2\/5)*m)**(-28) assuming m is positive.\nAnswer: m**(30193\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3 + 9 = t, 4*g - 4*t = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001428412 to 6 dps.\nAnswer: -0.001428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330941874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72*s - 171*s + 85*s - 2)*(11*s**2 - 5 + 5) in the form b*s**3 + l*s**2 + k*s + n and give b.\nAnswer: -1738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156168297 and 190872363?\nAnswer: 1717851267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.54 - -15. Let h = y + -97.51. Let i = -101 - h. Round i to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 1:48 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3462 and 150957.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 21 = 0. Let a(s) = -2*s - 1 + s + 8*s**3 + 0*s - q*s**3. Let f be a(2). Solve f*z - 2*z = 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a + 98630 - 49320 + 17*a + 3*a - 49311.\nAnswer: 35*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 j when three letters picked without replacement from {d: 5, j: 8, q: 4}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -3556670\nAnswer: 3\/355667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -471 divided by 3\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millennium in years?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 13) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4851)\/990*5*6\/(-252)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -48 + 2*f**2 + 81 - 11*f - 32 + 3*f**2. Let y(c) = -9*c**2 + 21*c - 1. Give -11*q(x) - 6*y(x).\nAnswer: -x**2 - 5*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175373889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.5, -10, 99379?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:59 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/5 + 1 + 700\/875. Let d = 0.1 - 0. Let z = d - 0.5. Which is the third smallest value? (a) z (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 6*h + 2. Let c(b) = -13927*b + 6983*b + 6945*b. Give 4*c(p) + d(p).\nAnswer: -3*p**2 + 10*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61446 - -1442?\nAnswer: 63221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 240 times -5\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-2)\/8*-2*1\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let h be (-3 + n)*2\/3. Let x = 1 + h. Which is the third biggest value? (a) -0.2 (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 3*q - 334. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from nmnpmmynynmnmsnsm?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38\/3)\/((-20)\/(-30)). Suppose c = -0*c - 2*j + u, 2*j + 11 = c. What is the remainder when 56 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -90. Let o = 36.8 + l. Round o to zero decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -454 - -3?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1402*b*l**2*y**3 - b*l*y**2 + 37*b*y**3 - 352*l**2*y**3 - l*y**2 - 2*y**3 + 2*y + 3 wrt l.\nAnswer: -2804*b*y**3 - 704*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 0) + -1 + -3 + 167. Calculate the greatest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494430 to the power of 1\/2, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 56*x**2 + 13*x - 13*x - 17*x**2 + 33*x**2 + 26*x**2 + (0 + 0 - 2*x**2)*(1 - 3 + 3).\nAnswer: -16*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*((-9)\/2 - -4)*0. Put l, 1, 3, 2 in descending order.\nAnswer: 3, 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + 1 - 3*l - 3*l**2 - l**2 - 2 + 6*l**2 to the form k*l**2 + f + j*l**3 + i*l and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1847694 + -0.3.\nAnswer: -1847694.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1700 - -1702. What is the closest to 0 in -36, -2\/9, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 156840717 from 10.\nAnswer: -156840707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-75)*5\/3)\/(836\/3762)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 112111?\nAnswer: -112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 9*k**2 + 51*k + 163. Calculate b(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6741 + 39385*w + 6742 - 13661*w - 13483 to the form b + y*w and give y.\nAnswer: 25724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 74 = -80. Let o = 29\/3 + -10. Which is the third biggest value? (a) -5 (b) o (c) 2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 103 - 36)*(-g**4 - g**4 + 0*g**4) + 9*g**2 - 21*g**4 - 9*g**2.\nAnswer: 257*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509 = 36*j + 31. Let l(k) = -66*k - 76. What is the units digit of l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11b - -1a?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1333, -2667, -3989, -5293, -6573, -7823, -9037, -10209?\n\"Answer: m**3 - 1341*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0 + 4 - 1)*(-2 + 0 + 7)*(14 + 29*t - 14) - 1 + t + 1.\nAnswer: -869*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = 16*a - 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 3. Let b be i(-5). Suppose -3*p = -n - 1, n + 1 = -0. Solve p = -2*h - 8, 6*c - b*c = h + 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -2 + 1 - -1. Let w(n) = n**2 + 19*n + 11 + 3 - 7*n. Let h be w(-11). Solve 4*l - 2*f + 2 = 0, -h = -2*l + t*f - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 3)*(0 + 0 - 1) - 2 + 2 + 1)*(4*i - 4*i - 2*i**4)*(-2 + 4*i + 2).\nAnswer: 16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 61*g - g**2 + 6 - 3 - 7.\nAnswer: -g**2 + 61*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k*k*k**4*k)\/k)\/k)\/k)\/k*k\/k**(-3\/4)*(k**0\/k)\/k*k*k**0 assuming k is positive.\nAnswer: k**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22\/15 of a millennium?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(-7\/10)*(v*v**(-1))**(-47) assuming v is positive.\nAnswer: v**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n - 153. Let d be i(19). Suppose -7*l = -6*l - 14. Let w be ((-68)\/6)\/(((-168)\/d)\/l). Solve -3*p = -7*p - q - 17, -3*p - 5*q = w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -8)*10\/(-25). Solve -5 = 5*f - 4*z, 2*f - 4*z + 5*z = -g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/13))**(-2\/7)\/(z\/z**(2\/3)*z**(9\/7)) assuming z is positive.\nAnswer: z**(-478\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/6 + (-6)\/(-18). Let j be (2\/(-7))\/((-3)\/21). Let b = -1 - j. Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -25. Differentiate 4*s**b - 390 + 384 + 5*s**3 wrt s.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*1\/6*-2. Suppose -h = -4*z + 3. Which is bigger: z or 1\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 393393504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.0776 + -17.4294. Round h to 1 dp.\nAnswer: -19.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/6713775 and 1\/1521789.\nAnswer: 114134175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101111000111101011 (base 2) to base 15.\nAnswer: -e27e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 5:03 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (327\/218)\/((-15)\/(-48)*-3).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 144312898 divided by -2\nAnswer: -72156449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78183*j + 43964*j + 34211*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5586604143 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - h + 48. Suppose -100 = -3*n + n. Suppose 2*o - n = -0. What is the remainder when l(0) is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 2*z - 1\/2*z**3 + 0*z**2 + 0. Let j(u) = -2*u**2. Determine j(d(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 164 + 8 = -p, 4*w = -3*p + 116. Let t = w - 19. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 10, 11, 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 532918207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 14. Suppose -d + 2 = -2*d. What is the nearest to u in 2, -4, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -520, -774, -1026, -1276, -1524?\nAnswer: -1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(8) - (sqrt(72) - sqrt(2))*-2)**2.\nAnswer: -72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(18)*-1)\/(2*sqrt(6)*4) + -3.\nAnswer: -1 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 339*z - 1638. Determine t(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 7*m + 7. Let u(v) = v**3 + 7*v**2 + 4*v - 5. Let i be u(-6). Let s be a(i). Solve 0 = -3*o + s*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 + 136. Sort c, 2\/7, 0.5, -1 in increasing order.\nAnswer: -1, 2\/7, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**7\/420 + x**6\/60 - x**3\/6 - 6*x. Let i(a) be the second derivative of t(a). Find the third derivative of i(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/18 and 61\/15363.\nAnswer: 30726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + -0.3. Let i = -15 + 10. Let c(l) = 4*l**2 - 3*l + 4. Let v be c(1). What is the nearest to -0.1 in i, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 5*w - 35, -3*h + 867*w + 18 = 869*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1417238*u - 5668953. Calculate x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4202 + -0.01\nAnswer: -0.4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 9:53 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*w**2*x**2 + 42*d*w*x**3 + w**2*x**3 + 5*w**2*x**2 with respect to d.\nAnswer: -w**2*x**2 + 42*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8164 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -1587*w**5\/4 - 115*w**4\/2 - 10*w**3\/3 + 40*w**2 + w - 111. Let h(a) be the second derivative of o(a). Factor h(f).\nAnswer: -5*(69*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -25. Let d = p + -8. What is the third smallest value in d, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 14. Let k be j(12). Let h be 0 + 2 + 0 - k. Let c(r) = -r**3 + 7*r - 10. Let o(y) = y - 1. Let q(b) = c(b) - 6*o(b). Determine q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7666164154 plus 0?\nAnswer: -7666164154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 1978.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9015086?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0 + 0)*(-19*i**2 + 4*i**2 - 19*i**2) + i**4 + 0*i**4 + 0*i**4 + (0 + 2*i + 0)*(-2*i**2 - i**3 + 2*i**2).\nAnswer: -35*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*r + 4 + 1 - 5 as q + p*r and give p.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 20 = 5*z, 3*z = -4*i + 6*i - 15. Let d be (-54)\/i - 27\/(-45). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108d38 (base 15) to base 4.\nAnswer: -3000231221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(-1*sqrt(76) - sqrt(76)))\/((sqrt(768)*1)\/sqrt(3)).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17e9 (base 15) to base 5\nAnswer: 131134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2646097, -5292166, -7938237, -10584310, -13230385?\n\"Answer: -n**2 - 2646066*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.38006 + -0.01994. What is the fourth biggest value in 2, -0.13, 3, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 1322\nAnswer: 2644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 0*s - 21*s - 3*r = 32, -40 = 4*s + 5*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:15 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.478364g to nanograms.\nAnswer: 4478364000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*d - 2817 + 1313 + 1844 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/5 + 18354*k\/5 + 36668 = 0.\nAnswer: -9167, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-20))\/(15\/15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**2 + 17*l - 5. Let n(s) = s**2 - 1. What is -5*n(g) + z(g)?\nAnswer: 2*g**2 + 17*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)*n**(-3))\/(n**(-3\/7)\/n**1) assuming n is positive.\nAnswer: n**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740361482?\nAnswer: 2, 7, 7554709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 47 - 15. What is the least common multiple of (-864)\/(-162) - 1\/3*1 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 - 2*y**4 + y - y**3 - 2*y + 2*y**3 in the form s*y**2 + g*y**4 + t*y + x + v*y**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 401, 611, 803, 971, 1109, 1211?\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.59718+-45\nAnswer: -43.40282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 59.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 13 + 58 = 0. Suppose -k*q - 27 + 171 = 0. Solve 0 = 2*w + 8, 3*j + j + q = -5*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6010 and 28147234?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b*b*b\/(b**(-1\/4)\/b)*b*b)\/b)\/b)\/(b\/(b\/(b*b**(-2)))) assuming b is positive.\nAnswer: b**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 503614819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/6 + (-2109)\/(-18). Suppose 0 = -4*s + 3*s + 3. Let u be s\/(6\/(-2)) + 14. Calculate the greatest common divisor of i and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-9)\/2) + 128024\/117. Suppose c - 46 = -4*r + 1033, 4*r = 2*c + t. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 4, m: 7, h: 6}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -8579740 smaller than -8579740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 12. What is the tens digit of h(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8881369 is divided by 592091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(3*h + h + 0*h) + (0 + 3 - 1)*(-h - 3 + 3).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345278656 by -5.\nAnswer: 345278656\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 2*y**3\/3 + y**2 + 958. Let c(x) = 2*x**2 + 2*x - 1. What is 6*c(l) - 7*r(l)?\nAnswer: -2*l**2 - 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + y**3 + 4*y**3)*(10 - 14 + 5 + 47*y) + (4*y + 0*y - 3*y)*(-3*y**3 + 4*y**3 + 0*y**3).\nAnswer: 424*y**4 + 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*f - 2*f - 13 = 0, 3*f - 12 = 0. Let x = 9 - -2. Let y = -8 + x. Which is the closest to -1? (a) -1\/4 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 541 + -540. What is the remainder when 20 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*q + 18*q + 20*q)*(q + q + 0*q) + 393*q - 7*q**2 + 14 - 18 - 384*q.\nAnswer: 11*q**2 + 9*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**10\/1008 + o**6\/45 - o**3\/2 + 3*o. Let q(h) be the second derivative of l(h). What is the third derivative of q(v) wrt v?\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 5*l**2 + l - 2. Let v = 1030 + -1033. Calculate o(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/(j**(3\/34)\/j)*j*j)\/j))\/(j*j*j\/(j\/(j*(j**(-18\/11)*j*j*j*j)\/j))))\/(j**(-1\/28)*(j*j**(1\/9))\/j) assuming j is positive.\nAnswer: j**(-346399\/47124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*l + 41 - 301 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x + 1. Let f(z) = -3*z**2 + 5. Give f(s(u)).\nAnswer: -300*u**2 - 60*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**2 + 2. Let i(c) = -3762*c + 154. Let f(z) = -122*z + 5. Let w(v) = -154*f(v) + 5*i(v). Give x(w(q)).\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -20, -26, -44, -80, -140, -230, -356?\n\"Answer: -r**3 + 3*r**2 - 2*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 5084 - z + 5098 to c + u*z and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 less than -0.086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 + 9*m + 7. Let q be d(5). Let w = 26 + q. Determine b so that -4*b**w - 44*b + b**5 + 3*b**5 + 44*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*1*3)\/((sqrt(72) - sqrt(72)*-2)\/sqrt(12) - sqrt(18)\/sqrt(3)*1)*-3.\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -5. Let s = m - -2. Calculate the remainder when 29 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -28. Let u(r) be the first derivative of -1\/5*r**5 + 0*r**4 - m + 0*r**3 - r + 0*r**2. What is the derivative of u(d) wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -68, -2 in descending order.\nAnswer: -1, -2, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81000 by -2700.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -91173.947 rounded to the nearest 10?\nAnswer: -91170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**3 - 173*t**2 + 17*t + 4.\nAnswer: 6*t - 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 121387 = 6888. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45890 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i + 20*i**2 - 36*i**2 + 15*i**2 - 1. Let j be l(4). Suppose -21 + j = -k. What is the highest common divisor of 20 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - 17*m**2 + 10*m + 49. Let a(t) = t**3 - 2*t. Let d(w) = 5*a(w) - b(w). Let l be d(-18). Sort 0.1, 2\/11, 4\/3, l in descending order.\nAnswer: 4\/3, 2\/11, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25 (b) 2\/23 (c) -2\/5 (d) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a0 (base 14) in base 15?\nAnswer: -1067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1)\/p*p)**(-24\/5)*(p**0)**(-9)*(p**(1\/7)*((p\/((((p\/(p\/p**4))\/p)\/p)\/p))\/p)\/p)\/((p\/(p*p**(-5))*p*p)\/(p\/p**5)) assuming p is positive.\nAnswer: p**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.9, -0.2, -42262?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4 + 112648*v**3 - 1585858508*v**2 - 9518192760*v - 14278810050 = 0.\nAnswer: -3, 28165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1846 - -3441. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 15. Suppose 2*i - 25 = -3*k - 0, -5*k + 5*i + 75 = 0. Let p be l(k). Solve -u + p*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 54*q - 171. Let w be s(-57). Suppose -3 = v - 2. Let f(h) = h**2 + 3*h + 1. Let x be f(-4). Sort x, w, v in descending order.\nAnswer: x, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3195 = 5020. List the prime factors of t.\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1139 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163*d**3*x + 774*d**2*x + 32*d**2 - 2143362*d*x wrt d?\nAnswer: -978*d*x + 1548*x + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 67?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/5 + 5156*g\/5 - 36582 = 0.\nAnswer: -2613, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 - -22. Let s = b + -152. What is the units digit of s*((-9)\/(-4) - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 213 = 5*h + 2*c, -3*h + 3*c = -111. Suppose 0 = -4*p + h + 19. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + 5*j)*(3*j + 4*j + 3*j) + (j - 2*j + 0*j)*(-2*j - j + j) + 0*j**2 - 2*j**2 + j**2 + j**2 + 0*j + 0*j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6246.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2 - a - 1. Suppose -n = w - 2*n - 10, -w + 4*n + 25 = 0. Suppose 6 + 4 = -w*h. Calculate the remainder when v(h) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (23 + (-4578)\/112)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17586.\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 22, 111, 288, 583?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nppptptn. What is prob of picking 2 t and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 8*m**2 - 49*m - 294. Calculate the remainder when 287 is divided by z(-8).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 5*n + 1398. Let o be t(-35). Let u(r) = 3*r + 5. Let s(k) = -k - 2. Let m(v) = 5*s(v) + 2*u(v). Give m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482776 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 64. Suppose -8*z - 8 = -9*z. Suppose -4*l - j = -z, -3*l - j = -4*j - 6. Solve -l*f = 2*f + d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12923 - 12915. Put c, 33, 0.2 in ascending order.\nAnswer: 0.2, c, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -94969103784?\nAnswer: 94969103784.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-12\/13)*k*k**(-19)*k*k**(-2)*(k\/k**(-1\/16))\/k)**(-46) assuming k is positive.\nAnswer: k**(95013\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 8) to base 2.\nAnswer: 11011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1395763.07999948 - -1395763. Let m = 0.08 + b. Round m to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165248 - -589836. Suppose 0 = 2*w - x + 17224588. What is w rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**7\/840 - o**6\/60 - o**5\/30 + 3*o**4\/8 - 11*o**3\/6 - 15*o. Let c(h) be the second derivative of d(h). Calculate c(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**4 - 4*v**4 + 3*v**4)*(5 - 17 + 6) as s*v**2 + m + n*v + w*v**4 + z*v**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -2, 85, -5, 0 in ascending order.\nAnswer: -5, -2, 0, 2, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*t + 1379 = 0, 3*o + 2*t = -0*t + 1047. Find p, given that -15*p - 17*p - 3 + o*p**4 - 46*p**2 - 5 - 353*p**4 - 28*p**3 = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 395, -2\/3, 3, -7, -11 in descending order.\nAnswer: 395, 3, -2\/3, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 10 = j, 7*j = 2*j - 4*c - 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2164 = 5*f, 5*p - 4*f = -f - 2692. Find the common denominator of ((-21)\/(-6))\/(-7) + p\/96 and 91\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 468 and 3020888?\nAnswer: 27187992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 89 + 10 + (-35 - (-11 - 14))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 500543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -4. Let n(w) = -f*w - 4*w**2 + 5*w + 0*w. Let b(y) = -3*y - 1763756*y**2 + 2*y + 1763757*y**2. Determine 2*b(q) + n(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8418*d = 8414*d - 6, 0 = -5*b + 7*d + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + (-20)\/(-15). Let y = r - 6. What is the remainder when 3 + y - (-15 - -1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31469, -0.26, 0.2 in decreasing order.\nAnswer: 31469, 0.2, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 123268.7184 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/17 + -6\/119. Let w = 0.3 - -0.2. Which is the closest to m? (a) -2 (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -a - 53, -5*u - 3*a + 184 = 35. Suppose 2 = 3*i - u. What is the greatest common divisor of i and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:50 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - m - 24 = 0, -4*q = 3*m - 6*m + 24. Let i(z) = -8 - 80*z**3 + 79*z**3 - 8*z - 2 - 7*z**2 + 2. What is i(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3045064 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 254 - 249.97. Let y = -0.03 + w. Let g = 5.77 - 3.77. What is the closest to -1 in y, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000111100101100101 (base 2) to base 3.\nAnswer: -2112011121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 20 = 0, -c + 5*i - 8 = 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:36 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.282 - 11?\nAnswer: -170.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/12492 and -137\/20820.\nAnswer: 62460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y + 4. Suppose -8 = 51*d + 43. Let w(x) = -x - 1. Calculate d*b(z) - 5*w(z).\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 15 + 13)*(-3 + 0 + 1 + c**2)*(-10 + 2 - 2).\nAnswer: -480*c**2 + 960","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1539) + 4 + (0 + sqrt(1539) - sqrt(1539)) + -2)**2.\nAnswer: 36*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 smaller than 22132\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1565*s + 286 + 195 - 481)*(3*s**2 - 2*s**2 - 2*s**2).\nAnswer: -1565*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*c*o**3 - 6632*b*c*o + 64*b*c - b*o**2 - 56341*o**3 wrt c?\nAnswer: -2*b*o**3 - 6632*b*o + 64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72459 is divided by 24135?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 13604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**2 - 10*d**2 - 4*d**2)*(-d**2 + 2 - 2) + 6*d**4 - 2*d**4 - d**4 in the form n*d**2 + p + f*d**4 + c*d + h*d**3 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 times 11?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmxwmmlrwx. Give prob of picking 1 w and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1792 and -49\/400.\nAnswer: 44800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14, -210523\/27, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 13 + 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162\/10*(-9920)\/13888?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 7562146\nAnswer: -7562146.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v. Suppose 2*b + p - 2 = -2*b, 0 = -2*p - 4. Let y(j) = -1. Let k(r) = b*w(r) - y(r). What is the units digit of k(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 447755\/75636 + (-2)\/9. Let b = w + 10\/191. Calculate the common denominator of b and -17\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 863309330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-9) + ((-11515)\/(-90))\/49?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 970 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**4\/12 - 5*m**3\/6 + 7*m**2\/2 - 457*m. Let j = -3 - -6. Let f be x(j). Put 5, 4, f, 2 in descending order.\nAnswer: 5, 4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3*q**2 + 2*m**3*q + 34*m**2*q**2 + m**2*q - 2*m**2 + 24*m*q - q**2 wrt q?\nAnswer: 2*m**3 + 68*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10402 and 392.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*d + 4*d = 3, 4*i + 4*d - 24 = 0. Suppose 2*h = 5*h + 5*q - 5, -h + 7 = -q. Suppose -14 = -h*s + i*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - -2*-1*(3 + -2). Suppose 5*x = k*x + 8. Calculate the lowest common multiple of 7 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s + 102. Give y(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3143045, -3143040, -3143035, -3143030?\n\"Answer: 5*h - 3143050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/13)\/((m*m**(2\/5))\/m))**(-18\/13) assuming m is positive.\nAnswer: m**(198\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -12*k - 178. Let v(h) = 14*h + 103. Give 6*j(l) + 5*v(l).\nAnswer: -2*l - 553","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*p + 2*p + 26, -3*i = p - 4. Solve 4*v + 5 = x, 3*v - 5*v + i*x = 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 + 3*n**2 + 3*n + 4. Let r be s(-2). Is -1 + (r - (5 + -2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 6 - 5*i - 1 to q*i + o and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + 9 + (12 + -8 + 0 - 60).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46893 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 + 98829*j - 132777 wrt j.\nAnswer: 6*j**2 + 98829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 716 and 59965.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004387559 to six dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.45 - -5.55. Put -0.5, 0.1, m in descending order.\nAnswer: m, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, -3\/5, 521?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 155\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:06 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292950331 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-3 - -4)*-1 + 110. Let z = j - 52. Suppose 19 = t - z. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f. Let p(k) be the second derivative of 78*k**3 - 166*k. Calculate p(w(m)).\nAnswer: -936*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14*x - 150. Let k be n(11). Suppose 0 = -9*g - k*g + 3146. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12660 - -20407. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76587*z**3 - 2326*z**2 + 11*z.\nAnswer: 459522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -80333 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 34 + 9. Let h be ((-4)\/(-10))\/(x\/(-25)). Let r(l) = -l**3 + 1. Calculate r(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*f - 916, 3*a + 5*f - 2788 = 3*f. Suppose -11*i - a = -2648. What is the greatest common factor of 39 and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = c + 15, c = -0 - 3. Let z(n) = -n**3 + 37 + 5*n**2 + 36 - 72 - 3*n + 0*n**3. Let p be z(3). Calculate the greatest common divisor of d and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from kvkvvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (200\/12)\/((-2)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/2)\/(-1))\/((-48)\/(-1440))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6) - -1 - (-1158)\/3474.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 136 - 6?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175263, 350526, 525789?\nAnswer: 701052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + 6*((sqrt(833) - (sqrt(833) + -2 + -4)) + sqrt(833) + -1 + -4) + 0)**2.\nAnswer: 588*sqrt(17) + 30037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8135 (base 11) to base 16\nAnswer: 2a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 + 167. Let m = z - -159. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327956?\nAnswer: 2, 3, 7, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-80)*(-45)\/(-6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20032603, -40065205, -60097807?\n\"Answer: -20032602*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74.995 - 0.005. Let y = f + 87. Put 0, y, -4 in descending order.\nAnswer: y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7 times 15.56?\nAnswer: -104.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-6))\/(-42 - 2816\/(-66)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7506 - 7485. Which is the biggest value? (a) v (b) 1\/10 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.59, -2\/5, 6, 0 in descending order.\nAnswer: 6, 0, -2\/5, -0.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -35. Let j = -13.6 - o. What is the nearest to j in -5, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/301 and -36\/5.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10*(-115)\/(-46).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 2*v**3 - v**3 + 4 - 2 + v. Let q be o(-1). Suppose 33 = 5*r - 3*g, -q*r + 6 = -g - 17. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 9*w**2 - 11*w + 23. Let m be v(10). Let q(l) = 2*l**2 - 17*l + 7. What is the units digit of q(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**3\/3 + 2*p**2 + 19*p. Let i be j(-3). Is 0 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.01 + -0.01. Let i = -23.3 + c. Let p = -1.299984 - i. Round p to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*n**2 - 2 + 76*n**3 + 168*n**2 - 78*n**3 - 394*n**2 - 329*n**2 in the form z*n**2 + a*n**3 + j*n + m and give z.\nAnswer: -701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69337 - -98487. Let f(z) = t - 29150 - 11*z + 10*z**2 + z**3. What is f(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407 = -4*d + 3*v - 418, 3*d = v - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 31 = -5*z, -2*s - 18 - 2 = -4*z. What is the remainder when 54 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -42 - 31*p**3 - 5*p**2 + 172*p - 30*p**2 - 56*p**2. Let a(y) = -2*y**3 - 2*y**2 - y + 1. Let k(b) = -2*a(b) - u(b). Determine q, given that k(q) = 0.\nAnswer: -4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 5545. Let y = 21 - f. Let z = y + 1561. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(76)*-2 - -1*(sqrt(76)*2 + sqrt(76))))\/(-4*(sqrt(4) + sqrt(16)) - ((sqrt(12) + sqrt(300) - sqrt(12)) + sqrt(12))\/sqrt(3)).\nAnswer: -7*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20650 is divided by 6859?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and 138.\nAnswer: -234.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 2:33 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*f*j**2*k + 2028*f*j**2*m**3 + 20*f*j*m**3 - j**2*k*m**3 + 25*j**2*k wrt k.\nAnswer: 8*f*j**2 - j**2*m**3 + 25*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v*w**4 + 3*v*w**3 + 92*v*w**2 + 779*v + 173078*w**4 - 3*w**2 wrt w.\nAnswer: 48*v*w + 18*v + 4153872*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one halves of a decade?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nllnnninilliinlnnlnn. What is prob of picking 1 l, 1 n, and 1 i?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4*p - 100*h**4 - 15*h**3 - 20*h**2 + 8740*h*p wrt h?\nAnswer: 48*h*p - 2400*h - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3038*i + 494*i - 20448 = 2877*i + 4803*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5248 is divided by 1313?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**2 + 16*p + 55.\nAnswer: 4*p + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 143593460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-5))\/(1\/(-50)). Let a = y - 20. Solve z + a*z = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w - 56. Let t be r(17). Let q(g) = -g**2 + 9*g + 56. Let l be q(t). Is l equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314194400 to the power of 1\/3, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21301\/(-447321)*3*1\/(-2).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -203.9080963 to the nearest integer.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 + 0 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = 0. Solve 4*b + 4*j + j = -21, 3*b - 5*j - 28 = g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*k + 267, w - 270 = 2*k + 3*k. Let f = w + 44. What are the prime factors of f?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -5, 3790, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-10)\/4)*(-1 - 5). Suppose k + 0*k + s = 41, 9 = t*s. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -110312223222320?\nAnswer: 110312223222331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:47 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3077 + 7598. Calculate the remainder when i is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/3))\/r)**(37\/5)\/((r\/(r\/r**(-9)))\/(r*r**(-1\/2))) assuming r is positive.\nAnswer: r**(359\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 50?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 7:14 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/((-44039)\/3748).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1965171060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -36229.\nAnswer: 1\/36229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*f + 6600 + 8544 = 5181 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005435 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1785985?\nAnswer: 5, 357197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -384 - -847. List the prime factors of x.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - ((-204)\/(-21) - 10\/(-35)). Let h be (-28)\/8*q\/7. Let c(d) = -d**3 + 5*d**2 + 8*d - 11. Let t be c(h). Sort -0.1, 4, t, -5\/2.\nAnswer: -5\/2, -0.1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7521302 (base 9) in base 8?\nAnswer: -17275764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(10\/7)*c*c)\/(c*c**(6\/7)))\/(c**(-13)*c*c**(3\/5)))**17 assuming c is positive.\nAnswer: c**(8313\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 5*d**2 + d**2)*(-52*d**2 - 29*d**2 + 113*d**2 - 15*d**2).\nAnswer: -34*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 9*o**2 - 366*o + 14064. Give r(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 6*h - 4*h. Suppose -4*g = n - 56, -g = -h*g + 2*n - 7. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*j + 182, -4*j - 130 + 396 = 2*a. Suppose 2*x + 4*n = -0*x - 72, 4*x + 2*n + 156 = 0. Let f = j + x. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 + 51?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/24 - k**3\/18 + k**2\/6 - 11. Factor x(o).\nAnswer: -o*(o - 1)*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.23*25340\nAnswer: -284568.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2\/5 + 1831317234*k\/5 + 279476900962117563\/5 = 0. What is k?\nAnswer: -305219539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29012, 58191, 87370?\n\"Answer: 29179*b - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 8777?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60632 is divided by 60617?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 11\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 8562, -335?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -1\/6, -1, 5\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 34 - 4. Let w be 20\/(-50)*c\/(-2). Calculate the highest common divisor of w and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(30\/(-9) - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 divided by -6?\nAnswer: -93\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 582 = -2*i + 5*c, -4*c = -i + 297. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 39. Suppose -2*l + 0*l = -5*t - r, -2*l + 2 = 0. Solve t = y + 2*b + 5, y + 3 = -5*b - 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nznuwwzznnunu. Give prob of picking 2 z and 2 u.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*u - 72 = 0, 0 = -39*n + 44*n - 5*u + 30. Let v(q) = 5*q - q - 3 - q**2 + 0*q. Let y be v(6). Which is greater: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1016097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 35*o. Let y(x) = -395*x**2. What is y(u(q))?\nAnswer: -483875*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, -1, 0.14, 0.3?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-219)\/803 + (-5)\/(-99)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 330*p - 4.\nAnswer: 330*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10803 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174173142 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*t + 18, -4*d - t - 11729 = 0. Is 28 a factor of d\/(-15) - (-33)\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - 4 + 4)*(-y**2 + 0*y**2 - y**2 + (2*y + 0*y - 3*y)*(152*y + 1161 - 1161)) as v*y**2 + t*y**3 + d*y + j and give t.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f = 15*f - 7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*v - 6. Let h be ((-4)\/3)\/((-10)\/v). Let z = 5782 + -5778. What is the closest to 0.1 in -1, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzxfyzycczcyz. What is prob of sequence yx?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30412 + 30412.1. What is the nearest to u in 2, -5\/3, 2\/21, -0.2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -17*f - 9. Let d(y) = 4*y + 2. Let u(s) = 2*b(s) + 9*d(s). Let q(t) = -2*t**2. What is u(q(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14, 23, 0.1, 2, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-3)\/(-12)*-10. Suppose -i*k + 12 = -k. Let a(j) = 2*j - k + 3. Let v(m) = 2*m. Determine v(a(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178\/129927 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 6 + 22. Find the third derivative of -6*q**4 + 3*q**4 + 5*q**2 - w*q**2 wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 120010?\nAnswer: -120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7997468 and -0.340832.\nAnswer: -7997468.340832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.169 to one decimal place.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 7:54 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6))**46 assuming n is positive.\nAnswer: n**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/5)\/z**(-13)*(z**(-14)*z)\/(z\/(z*(z\/(z*z*z**(-8)*z*z*z*z*z))\/z)))**(-8) assuming z is positive.\nAnswer: z**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 3*n + 5, 3*s - 17 = 2*n - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10110010011001 (base 2) to base 9\nAnswer: 16585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(78))\/(sqrt(486) - sqrt(486)*3) + 2*(sqrt(117) + -1 + sqrt(117))**2 + (sqrt(832) - 6*(0 + sqrt(832))).\nAnswer: -383*sqrt(13)\/6 + 938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5041863 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101010 (base 2) in base 16?\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/1224 and 3\/1088?\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -124, -295, -522, -799?\n\"Answer: a**3 - 37*a**2 - 5*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxqxqqxxxx. Give prob of picking 3 x.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2614.21 + -40059801\nAnswer: -40057186.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 65*1803812\nAnswer: 117247780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/40 and -107\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v - 52 = -2*x, 2*v = -x + 17. Suppose -x = 3*m - 10*m. What are the prime factors of (0 - -3 - m) + 58?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 4\/(-1))\/((-10)\/4). Suppose 4*v = 2*v + 10, -5*v + 27 = j. Determine r so that d*r**3 - 2\/5*r**j + 0*r + 8\/5*r**4 + 0 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66*(-83)\/(9130\/(-30))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/21 and 29\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + -11.15. Let m = -760 + 790. Let b = w + m. Is 0 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -5. Let d = 0.045 + -0.005. Put -0.4, d, o in descending order.\nAnswer: d, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19791 - -24951. Is g\/36 + 0 + (-3)\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134410 (base 5) in base 11?\nAnswer: -14a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t**2 - 4*t**2 - 7*t**2 - 3*t to the form f*t**2 + p + s*t and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-2)\/32)\/((-81)\/54)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361639264.\nAnswer: 2, 7, 1614461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15c (base 15) in base 4?\nAnswer: -10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602079 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72))*-6 + (sqrt(16) + sqrt(16) + sqrt(112)\/(sqrt(7)*-1))\/sqrt(8).\nAnswer: -35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328 divided by 332?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3017\/30 + 673\/6. Find the common denominator of -157*6\/(-24) - 2\/(-8) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -338 in 3\/4, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 7*w**2 + 3*w + 11. Calculate z(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2)*22\/22. Suppose -r*v = o - 5867, 5256 - 22807 = -3*o + 4*v. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207389499.\nAnswer: 7, 3167, 99571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39*(-6)\/54 - -5. Factor 2\/3 + y*o**3 - o - o**2.\nAnswer: (o - 2)*(o + 1)*(2*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 2*j - 6. Let o be y(3). Let k(b) be the third derivative of b**5\/60 - 5*b**4\/24 - b**3 - 4*b**2. Give k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1791 + 0.0209. What is the smallest value in -2\/7, o, 2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -3*g. Let x(r) = -r**2 - 7*r - 6. Let p be x(-4). Is p not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*q - 115*q - 8*c + 12*c = 64, 0 = -2*c + 10 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53362, -106952, -160542?\n\"Answer: -53590*f + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/1 + (-16 + -50)\/11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 12, -0.3, 26 in decreasing order.\nAnswer: 26, 12, 5, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-five quarters of a milligram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by 18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1430 + -776. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 81081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1915\/(-15))*24*10. What is x rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188331 is divided by 94148?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + 7)\/((-304)\/24 - -13)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 2 - (14 - (-24 - -50)) - 27.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2383, 2987, 3589, 4195, 4811?\n\"Answer: n**3 - 7*n**2 + 618*n + 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 + 1 + -63 + 67?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -4.7. Which is the second biggest value? (a) 0.2 (b) 0.06 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4828442 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 91, -5, -210, -2 in descending order.\nAnswer: 91, 2, 1, -2, -5, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6214740 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339, -677, -1015, -1353, -1691?\nAnswer: -2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1617723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.4 (b) -1\/5 (c) 2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**2*d*d*d*d*d*d**(-14))\/(d**(1\/6)\/(d\/(d*d**14*d*d))) assuming d is positive.\nAnswer: d**(-157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48441 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -27, -631*t + g - 7 = -310*t - 320*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 244 + -114. Let j = a + -131. Let y(o) = o. Let i(k) = 6*k - 1. Calculate j*i(s) + 2*y(s).\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + a?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17287108 and -6.\nAnswer: -103722648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Let b(k) = k - 3. Let i be b(6). Let h(j) = 6*j + 18. Let t be h(-3). Solve i*g - 22 = p*q, t*q + 16 = 4*g - 4*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58937831*u*v**3 - 2*u*v**2 - 7*u*v - 2*u - 4*v**2 - 1810 wrt v?\nAnswer: 353626986*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/48034 and 89\/267618.\nAnswer: 1873326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**5\/10 + n**3\/6 + 4*n - 3. What is u(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576 and 48?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 619761 + -803210123\/1296. Find the common denominator of v and 103\/1296.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 7*z - 2*u = 18, -20 = 4*z + 4*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.36, -1018.9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-253)\/506)\/(-2 - (-1 + 0)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -23*w**5\/3 - 1585*w**4\/3 - 8533*w**3 + 58565*w**2\/3 - 33878*w\/3 + 840 = 0?\nAnswer: -36, -35, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(132) - -1*sqrt(132)))\/(sqrt(48)*1))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37347 - 37348. What is the nearest to i in 2, 0.33, 6\/5?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/13 - 16*k\/13 - 96\/13 = 0.\nAnswer: -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**6\/15 + 7*f**4\/4 - f**3 - 114*f. What is the second derivative of x(w) wrt w?\nAnswer: -24*w**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430374508 to the power of 1\/2, to the nearest integer?\nAnswer: 66561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -2*c**4 - c**3\/3 + c**2 - c - 3. What is d(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*u + 3*s, 2*u - 30 = 3*s - 0. What is the remainder when 61 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/7 - -13\/63. What is the third biggest value in 31, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(143)*1 - sqrt(143)) + sqrt(143))\/(-3*-1*sqrt(11)))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 111, 208, 321, 444, 571, 696, 813?\n\"Answer: -i**3 + 17*i**2 + 31*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2. Let n be x(1). Let s be 2*((-1)\/1 - -3). Suppose 3*u - 3 + 27 = s*f, -f + 5*u + 23 = 0. Put f, 8, n in ascending order.\nAnswer: n, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u + 73 = -69. Let z(d) = d**3 - 580 + 0*d**u + 291 - 2*d**2 + 291. Let s(g) = -3*g**3 + 8*g**2 - 9. Calculate -2*s(m) - 9*z(m).\nAnswer: -3*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (sqrt(1300)*-3 + sqrt(1300) + sqrt(1300) + sqrt(1300))**2*5) + sqrt(1300))*4 + ((sqrt(468) + 3*sqrt(468) + 4)*2)**2.\nAnswer: 848*sqrt(13) + 30016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11494 = 8*s - 76022. What are the prime factors of s?\nAnswer: 2, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14*n + 1325. Calculate p(46).\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 31*j + 248. Let d(i) = -91*i - 99. Let b be d(-1). Let l be p(b). Let l*h - 1\/6*h**2 + 0 = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71770 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: Find the common denominator of 61\/36 and -37\/2418.\nAnswer: 14508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.1 - 85.1. Let p = t - -81.0000048. What is p rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*s = 2, 12*y + 18 = -4*s - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-16)*-1*(-1)\/15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225958 by -6.\nAnswer: 112979\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 13*n - 18*n as m*n + s and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -17, -3, -5 in descending order.\nAnswer: 2, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549*a**2 + 45*a - 45*a + 1532*a**2 + 1147*a**2.\nAnswer: 3228*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11582 + 11599 = m - 2*h, 5*h = -m + 2*m - 29 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asssmamssmmma. What is prob of sequence asa?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(2\/5)*d))**(-32)\/(d\/d**0)**43)**(-18) assuming d is positive.\nAnswer: d**(2718\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-4) - 1\/4. Let x be (g + 3)*-7 - -3. Calculate the highest common divisor of x and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*j)*(3 + 3 - 3)*(-2*j**2 - 1 + 4*j**2 - 4*j**2).\nAnswer: -12*j**3 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 39 = 2*f. Suppose c - 7 = -y, f = y - 4*c + 2*c. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10470 is divided by 475.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4100 + 10?\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 4:11 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2111?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h + 5*h + 3 + 12*h**2 + h**3 + 0 - 2*h**2. Let b be i(-9). Solve -5*q + 10 = -5*z, q + 0 + 2 = -b*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114380.9662308 - 114381. Round o to 3 dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7\/4, 297, 0.4 in descending order.\nAnswer: 297, 0.4, -7\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3590?\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:43 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 394189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -52, -86, -118, -148, -176, -202?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -137 + 29 + -2 + 17\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 820008 and 378.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10475*n**2*o**6 - n**2*o**2 - 4*n*o**2 + 261*n*o - o**6 wrt o.\nAnswer: 1257000*n**2*o**3 - 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 542*w**2 - 30*w - 16234. Determine d(-542).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 3:20 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36875736 and 135211032?\nAnswer: 405633096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p + 8 - 6 = -24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from ccccncccccc.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4856635287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 7*c - 8. Let r be (c\/(-3) + -3)*-3. Suppose 3*q - r*q = -80. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 - 8*g**2\/3.\nAnswer: -2*g**2*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 0 + 4 + l - 4. Let u = 2 + -1. Suppose o + u = 2*o. What is y(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003827 to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 142*y - 1\/170*y**5 + 0 + 0*y**2 + 1\/102*y**4 + 0*y**3. Factor o(w).\nAnswer: -2*w**2*(w - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179151?\nAnswer: 3, 7, 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 7. Solve -3*k - 5*f = -k - 13, -4*k - y = -2*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 13427841*f + 13427841*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7204908 and 97524?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 18*j**3 + 39*j**2 - 36*j + 12.\nAnswer: 3*(j - 2)**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 17 = -5*q. Let u(v) = 25*v + 3. Is u(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -63336065 = -63336064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*y = 127*y. Sort -55, y, 9 in increasing order.\nAnswer: -55, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -84.034671 and -7?\nAnswer: 588.242697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 7. Let r(p) = -p - 6. Let i = -42 + 50. Let y = 14 + -2. Let t be (i\/y)\/(1\/(-9)). Determine t*r(z) + 5*q(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66271 + -24797. What are the prime factors of q?\nAnswer: 2, 89, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 56.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200175 by 157.\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 3489?\nAnswer: 34.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 6*m**2 - 3*m + 5. What is the tens digit of d(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -2\/21 (c) 3\/5 (d) 1 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*u*w**2 + u*w - 4*u + 205*w**2 - 14*w - 98484 wrt w?\nAnswer: 6*u*w + u + 410*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z**2 + 6*z - 2. Let v be n(-2). Solve 4*i = -v + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -15572 (c) -5 (d) -4 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 + 7 = 0. Suppose 3*d + 14 = -2*u, -2*u - 4*d - 10 = c. List the prime factors of 7*u\/((-147)\/18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5452.587 rounded to the nearest 10?\nAnswer: 5450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 81. Calculate the least common multiple of c and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 equal to 268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (84 - 95) + 68?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, k: 5, r: 2}. What is prob of sequence ck?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, 510\/5561, -1 in increasing order.\nAnswer: -1, -0.1, 0, 510\/5561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Suppose 0 = -i*u - 651447 - 368553. Round u to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**29*c*c)**(-7\/11) assuming c is positive.\nAnswer: c**(-217\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39275604?\nAnswer: 2, 3, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 5 - 5)*(779 + 41*i - 779) + 5*i**3 - 5*i**3 - 2*i**3.\nAnswer: 121*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2448) - 2*sqrt(2448)) + (sqrt(2448) + -1)*2 + (2*(-2*sqrt(17))**2 + -2*sqrt(17)*-2)*-1.\nAnswer: -138 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 176, 5 in descending order.\nAnswer: 176, 5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2)\/z*z*z\/(z*z**(-3))*(z*z**(-2\/5)\/z)**(-14))**(-2\/115) assuming z is positive.\nAnswer: z**(-76\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*p = 45, -30 = l - 4*p + 1. Suppose -4 = 11*i - 15*i. What is the lowest common multiple of (-4)\/(4\/l) - i and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) + (-1 - (-2452)\/(-48)). Let c = -54 - h. Which is smaller: -4\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*b - 42, 3*r = -r. Let c = -18 - b. Solve 0*k + k**5 - k**c + 7*k**2 - 3*k**4 - 2*k + 2*k - 4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 2. Let v be d(0). Suppose 124 = 5*z + 2*a, -v*z + 46 + 3 = a. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/4 - 14*r**3\/3 + r**2\/2 + 14*r - 6. Let z be g(-14). Suppose 37 = -z*p + p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66104988 is divided by 381?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(208) + 5 + sqrt(1053)*3).\nAnswer: 30 + 155*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 185 + 182 = 0. What is the hundreds digit of (0 - -1)*(864\/q)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1716787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1230)\/(-861) + (-8)\/(-14). Solve j*l + 0*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 48699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 3254*d - 22903. Determine q(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - k**3 - 2*k**3)*(-16*k + 3*k - 3 + 7*k).\nAnswer: 12*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 3*a + 0*a + (3 - 3 + 1)*(-2*a + 3 - 3) + 0 + 0 - a + (-15 + 15 - 7*a)*(5 - 2 - 1) in the form u + k*a and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7844 and 5406?\nAnswer: 400044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgxbbxbbbbxbbbbbb. What is prob of sequence xbbb?\nAnswer: 429\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399.76ml to litres.\nAnswer: 0.39976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4*s - 2*m = -8, -4*s = 2*m - 16. Let n(x) = -x**3 + 10*x**2 + x + 7. Let f be n(10). Solve -2*l + 4 = 2, -s*p - 5*l = -f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*g**2*k**2 + 24*g**2*k*x**3 - 3*g**2*k*x**2 - 2*g**2*k*x + 91*g*k**2*x**3 + 2*g*k**2 + g*k*x**2 wrt x?\nAnswer: 144*g**2*k + 546*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(27\/5)*(d*d\/(d**(2\/3)\/d*d))\/d*d*d)**(-1\/6) assuming d is positive.\nAnswer: d**(31\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2, 0, -1 in descending order.\nAnswer: 2\/5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -14.3. What is the nearest to 0 in -0.5, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -1b48?\nAnswer: -1b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*h - 2*z + 1, 0 = -5*h + z - 22. Put -2, -5, h, 4 in increasing order.\nAnswer: -5, h, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {g: 2, k: 3, e: 3, l: 2, p: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 2*a + 4. Let q be o(2). Let y = q + -9. Let d be y\/(-2*(-4)\/(-32)). Sort d, 2, 0.1 in ascending order.\nAnswer: 0.1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 12:14 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:38 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 31*g**2 + 214*g + 104. Determine t(-37).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16891 is divided by 1851.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 5:22 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5586.323t?\nAnswer: 5586323000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*i)*(26878*i + 2 + 5983*i + 18795*i + 1564*i).\nAnswer: -106440*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 277, -2, -7, -30 in descending order.\nAnswer: 277, -2, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 498 + -108. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19380 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sswwswww. What is prob of picking 2 w?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -7*x - 5*b, -108*b = x - 103*b - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(171 - -4)*(-30)\/(-12). Put -2\/3, 3, t, -67, -3 in ascending order.\nAnswer: -67, -3, -2\/3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -463733 by 463733.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 1. Let s(m) = -648*m**2 + 5*m - 5. Calculate -2*s(l) - 10*x(l).\nAnswer: 1296*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(40\/(-15))*-2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -616 + 1004. Is ((-2)\/(-4))\/(2330\/k - 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 10, 21, 26, 25, 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*t**2 + 21 - 21 - 153*t**2 - 19*t)*(-3 - 2 + 2).\nAnswer: 222*t**2 + 57*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/5)\/((-1)\/5). Let j be (-12)\/12 + 8 + -1*1. Let l(b) = j*b + 5*b + 9 - 9*b. Determine l(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 5*g - 1. Let w(q) = 3*q**2 + 5*q. Let f(o) = 4*r(o) - 3*w(o). Let v(i) = -i + 1. Let l be v(-5). What is f(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = 45 - 57. Let m(x) = -81*x + 83. Let i be m(f). Put 3, i, -14, -2 in increasing order.\nAnswer: -14, -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0551*-6\nAnswer: 0.3306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**3 - v**3 + 22*v**3 + (2*v - 2*v - v**2)*(0*v + 0*v - v) + 37*v**3 - 2 + 2*v**3 + 49*v**3 to the form w*v**2 + x + n*v + s*v**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(2) - sqrt(2)*-1))\/(-5*sqrt(2)*-2).\nAnswer: sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6*(-36 - 6 - -108))\/1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*i**2 - 38*i**2 + i - i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide (-70)\/14 + 6254 + (0 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -192, -68 in decreasing order.\nAnswer: 6, -68, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpp when three letters picked without replacement from {p: 7, b: 1, y: 10}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s - 3. Let x be b(3). What is the remainder when 57 is divided by x\/(3 + -3 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -323\/2 - -1337\/8. Calculate the common denominator of m and 79\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, s: 3, g: 1, e: 2, p: 2, i: 3}. Give prob of picking 1 e and 1 i.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from ciiiiiiciiiciii.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0776 - 0.08. What is h rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6370 (base 10) to base 8\nAnswer: -14342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 28 + 68. What is the remainder when 2*26\/4 - 1 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20132 + -333?\nAnswer: 13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 0.1, -3, 0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1865 - 1847. What is the lowest common multiple of t and 4090?\nAnswer: 36810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 9*n - 2. Let a = 29 + -19. Let o be s(a). What is the highest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 + 0 = 0. Let x be (-27)\/(-18)*18\/r. What is the highest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8611487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*k, 5*l - 4*k = 8*l + 30. Let h(n) = -5*n**2 + 4*n - 6. Determine h(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:50 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293814977.\nAnswer: 293814977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 - 179. Suppose t = 326*k - 337*k + 1342. List the prime factors of k.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1052015*d**2*p**2 - 22047*d - 6*p**2 wrt d.\nAnswer: -2104030*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 2:53 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/22 - -4*1939\/308. Determine a so that -55*a + 8*a**3 - 3*a**3 - b - 35*a**2 - 10*a**3 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w - 6*w + 166 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -14, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/(-66)*9\/3*(-24)\/336\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23010 and 4290?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.084 + -0.036. Which is the closest to -1? (a) 5 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = -5*c + 100. Suppose j + 4*g + c = 0, -2*j = j - 5*g - 19. Solve -50*y + 53*y = -j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 1. Let f(a) = a**3 + 745*a**2 - 741*a + 5. Let h(z) = -f(z) + 5*u(z). Factor h(k).\nAnswer: -k*(k - 1)*(k + 741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 471*p**2 - 12 - 1423*p**2 + 476*p**2 - 4*p + 474*p**2 to the form g*p**2 + u*p + h and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 96.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*j - 10 = 2, -34 = -c + 5*j. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5\/5 + 334*m**4\/5 + 2072*m**3 + 124656*m**2\/5 + 488432*m\/5 - 76832 = 0?\nAnswer: -70, -14, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 + 203 + 3*x + 2*x - 359 - 3*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((1 - -2)\/(-6)). Let k = -30 + 25. Sort 5, k, -3, n.\nAnswer: k, -3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 784\/9 - 87. Let k be (13\/4 + -3)*1. What is the smallest value in k, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*3\/(-6)*555*9\/270?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*y - 4, -4*y + 3*z - 10 = -0. Let t = 67 - 69.9. Let o = t - -2.5. Which is the third biggest value? (a) 0.1 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3 - -4) + 0)\/(4\/(-4)). Let q = -79\/4 - -20. Let r = 4079\/6 + -680. What is the nearest to m in q, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 + -0.5. Let n = 384.04 - 384. Which is the closest to 0? (a) -2 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13477 by 2.\nAnswer: 13477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 4*y**2 + 5*y + 3. Let p be z(-5). Let k be ((-5)\/(-4))\/(p\/1956). Suppose -3*w + 8*w - k = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17567\/93648 + -1\/11706. What is the second biggest value in 159, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.46, -22, 0.4, -0.2, -46 in decreasing order.\nAnswer: 0.46, 0.4, -0.2, -22, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -0.056 (c) 4 (d) -2 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890647453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -s + 13. Suppose 5*x - 4 = 3*x. What is the smallest common multiple of x and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*s - 27, -5*h = 5*s - 3*s. Let z = 2 - 2. Let m = z - 0.5. Which is the nearest to h? (a) 3 (b) m (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1638.679nm?\nAnswer: 0.0001638679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5 + m**2 - 8*m + 10 - 7. Let o be y(8). Let q(p) = -p**2 - p. Determine q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (3 - -8) - (15 - 16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -379 - 35. What is the common denominator of ((-1050)\/196)\/(-1 - (-33)\/(-21)) and (2\/(-4))\/(33\/r)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -811, -675, -539, -403?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -11*l + 7*l + 27, -3*c - 5*l + 33 = 0. Sort 4\/7, 2\/13, 0.6, c, -0.2 in ascending order.\nAnswer: -0.2, 2\/13, 4\/7, 0.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 1)*(-h**3 + 3*h**3 + 0*h**3) - 5*h + 7*h**3 + 0*h**3 - 5*h**3.\nAnswer: 10*h**3 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 + 7421*a**2\/3 + 51898*a\/3.\nAnswer: a*(a + 7)*(a + 7414)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -42077.\nAnswer: -2\/42077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 2931336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 2*n**2 - 4*n - 3. Let p be z(4). Calculate the highest common divisor of p and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -a1a?\nAnswer: a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*i - 3*t - 33, -t + 68 = 5*i. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiioioiiii. What is prob of sequence oioi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 401 + 268 = 50*q + 218 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 5*h**2 + 3*h**2)*(3 - 18 - 6 - 1).\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13370 by -955.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c - 16 = 0. Suppose -2*n + 0 = -5*m + 58, 3*n + 94 = c*m. Let x = 39 + n. Solve 0 = x*l - 21 + 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 4. Let c(n) = -n**2 - 14*n - 13. Let z be c(-13). Let g be s(z). Let l(f) = -f**3 - f**2 + f - 1. Does 11 divide l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110 (base 2) in base 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from aarxarlfa.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -63 (c) -0.4 (d) -2 (e) -2\/15 (f) -0.0824\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 25*q**3 - 1 + 0*q - 6*q - q**2 + 6*q. Give t(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2139773 and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 2*r + 8, 0 = 4*k + 45*r - 40*r - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -65? (a) 0.1 (b) 0 (c) 4 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1297 + -1192 + 0 + -52.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1343*j*w**6 + 3*j*w**2 + 2*w**4 - 275*w**2 - 2*w wrt w?\nAnswer: -161160*j*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 9*z**2 + 83*z + 435. What is the remainder when o(-7) is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1882 divide 186361286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*c = 3*c - 1, -5*f = -5*c - 20. Let g be 0\/(3 - f) - -2. Suppose 2*o = -3*o + 10. Solve -o*l - 5*y + 6 = 2*l, g*y = l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 7:59 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6415 + -2994. Let k = -2365 + t. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/2)\/(u\/u**28) assuming u is positive.\nAnswer: u**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1034, -2078, -3108, -4118, -5102?\nAnswer: -6054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2765789.1283489+39\nAnswer: 2765828.1283489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 154*c + 151*c + 3, 3*q - 3*c - 21 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616, -1229, -1844, -2461, -3080?\nAnswer: -3701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a minute?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1092494 divided by -2\nAnswer: -546247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 a factor of 43520901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1590*i - 8184 = 226*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:14 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5859 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336884 is divided by 131?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 3*i - i - 4*i - 4*i + 6*i + (-1 + 1 - 1)*(-2*i + 0*i + i) + 3*i + 4*i - 5*i - i - 4*i + 3*i + 5.\nAnswer: -3*i + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -2209 and -11039\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -21 (b) 16 (c) -2 (d) 1786\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.84*4\nAnswer: 7.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/12 + q**3 - q**2\/2 + q. Let d(o) = -o**2 - 3*o + 13. Let k be d(3). Calculate c(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 36. Let x(f) = -f**3 + 2*f**2 - 13*f - 41. Is 37 a factor of x(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226659186 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -13\/6 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-22)*10\/3. Suppose -r*x + 3 = -22. What is the remainder when 18 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 672\/192 - (-3)\/2. Let m(y) = 6 - 9*y - 3 - y**2 + 3*y**2. What is the remainder when 23 is divided by m(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b + -50047?\nAnswer: -50066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38325 - 18566. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 337738987 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 289\/65 - 63\/13. Let y = -2 - -2.8. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 425 + -410. What is the smallest common multiple of 69 and b?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*m - 1140 = -9 + 1055 + 630 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*w**3 + 1067 - 1038 + 17*w**3 wrt w.\nAnswer: 93*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 + -138. What is the remainder when 88 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (227*j - 14659 + 14659)*(-j**3 + 4*j**3 - 4*j**3) - 2 + 2*j**4 + 2 as c + a*j**4 + r*j**2 + s*j + z*j**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.4, -10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + (11 - (1 - 24))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 46*y + 6017. Give s(54).\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 8797*d**2 + 17594*d**2 - 45*d - 8799*d**2 to g*d**2 + y*d**3 + h + v*d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 3. Suppose 0 = 419*l - 432*l + 52. Let w be 5\/((1\/1)\/1). Suppose 3*y - w = 5*m, -y - l*m - 25 = -4. What is a(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1071588072 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(1331) - (5 + sqrt(1331) + 1 + sqrt(1331))) + -3)*-2)**2.\nAnswer: 792*sqrt(11) + 5652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -459 + 1077. Is a a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806044554 to the power of 1\/2, to the nearest integer?\nAnswer: 42498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8428 (base 10) to base 6.\nAnswer: -103004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (15 + -105)\/((-3)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2 = -184*r + 181*r, 5*k - 2*r = -9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4916305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*h - 13 = 3*c, 0 = 5*c - 4*h + 24. Let a = -68 - -68.4. Let l = 0.2 + -0.2. What is the nearest to l in -0.2, c, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**19)\/(l\/(l*(l*l**(11\/6))\/l*l*l)*l))**(-8\/11) assuming l is positive.\nAnswer: l**(-548\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-14 - 13536\/(-972)) + 97\/945).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 94\/(-4))\/((-65)\/130). Find n, given that 34 + 57*n + s + 3*n**2 - 27 = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3002980 and 5255215.\nAnswer: 21020860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 5 (c) -3 (d) 0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 2*s + 4*s + 3)*(0 + 0 + 2) to the form r*s + n and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 14*y = 8. Suppose 0 = -5*q - z, 2*q + 4*z = 11 - 29. Solve 5*s = s + 12, -y*v - q = s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -1, -2\/7, -251, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 100968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/10 and 37\/1003400.\nAnswer: 1003400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -7567645 in descending order.\nAnswer: 2, 0, -7567645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {u: 2, g: 3, t: 1, o: 4, m: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23096771 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 161, 177, 193, 209, 225?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 27*y**2 - 124*y - 293. Calculate i(21).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -12, -1, -62.\nAnswer: -83, -62, -12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 101*r**2 + 13*r + 14. Calculate h(-1).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*h + 15 = -16, 5*o + 4*h - 59 = 0. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 10 = -32*u + 37*u, -3*c + 4*u = -8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-1 - -6)\/1. Solve -16 = -a*v + w, -3*w = v - 8*w - 23 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 3*p**2 + 3*p + 6. Let i(u) = -u**2 + 6*u - 16. Let y be i(4). Let k be (-1)\/(-8)*4*y. Give r(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 2 - (-359 + 428 - (0 + 11 + 0)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1436062849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*w**3 - 79*w**3 - 461*w**4 + 144*w**3 + (3*w + w - 3*w)*(2*w**3 + 3*w**2 - 3*w**2) + 2*w**4 - 3*w**4 + 2*w**4 - 4*w**4 + 5*w**4 - 3*w**4.\nAnswer: -460*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 521*d - 7 - 522*d - 10. What is o(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 30801, 317, 0.3 in increasing order.\nAnswer: 0.3, 317, 30801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1213 + 2083. Let l = -7041 + 84559\/12. Calculate the common denominator of l and (-1 - -1) + o\/36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 2605.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1712122984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - l, 0 = -3*m + l + l + 11. Let a be ((-37775)\/1400 - -27)\/((-4)\/10). Is m bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 5*a - 4*y, -4*y = 5*a - 0*y + 9. Let b(j) = j - 1. Let z be b(a). Let q = -4 - z. Solve -5*v - 10 = -5*r + 2*r, -q*r + 4 = -2*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*r - 835 + 870, 4*r = -c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 199702.92 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926152951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - b = 2, 4*j + 2*b = 1 + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352.722 micrometers to kilometers.\nAnswer: 0.000000352722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8083 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:02 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y - 4*y + 9*y - 2*y - y + (2 - 2 + y)*(-1 - 3 + 3) + 0*y - 4*y + 6*y)*(-587*y + 181 - 61*y - 184).\nAnswer: -3888*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 78155491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**3 - a**2 - a. Let h be t(2). Let b = h + -2. Round b to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 12\/(6\/(-2)). Let t be h - 4*1\/(-2). Let c = -13 - -19. Solve -6*p - 2*a = -p - 10, 0 = t*p + 3*a - c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b740 (base 16) to base 6\nAnswer: 3452000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzeee.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 + 462*g - 13. Let y(d) = 4*d**3 - 461*d + 10. Calculate 4*b(w) + 5*y(w).\nAnswer: 4*w**3 - 457*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -330803 divided by -22?\nAnswer: 30073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -739, -1478, -2219, -2962, -3707, -4454?\nAnswer: -5203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -4 (b) -667 (c) 9\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7 = -4*n, 2*s + s = -2*n + 77. Let u = -19 + s. Suppose -u*g + 84 = 3*p, -2*g - 4*p + 20 = -22. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 57*j**2 + 8*j - 55. Let k be x(5). Let l = -956 + k. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -185, -294, -421, -572, -753, -970, -1229?\nAnswer: -1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 1:24 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + k - 6*k + 74, 80 = 3*p + 2*k. Calculate the least common multiple of 8\/(7\/((-49)\/(-2))) and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-3)\/(-6)*2). Let z be (11\/(-231))\/((-10)\/(-45)). Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 7. Let b be c(5). Let i be (2 - 0)*12\/b. Calculate the lowest common multiple of i - 0 - 2 - -11 and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1824037 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13291 + -1117. Let t be 9*-1*8*339. Let c = t - a. What is c rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5968)\/744 + (-666)\/(-30969)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 not equal to 71\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 10*z**2 + 8*z + 4. Let x be v(-9). What is the remainder when (22\/(-10))\/(x\/(-65)) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 5055*v - 10114.\nAnswer: (v - 5057)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 17. Suppose 2*m + 34 = 3*k, 5*k + 3*m - 39 + 14 = 0. Calculate the least common multiple of 66\/k - (-2)\/(-8) and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 + -97.29. Let s = l + -0.31. Let t(c) = c**2 + 5*c - 20. Let p be t(-7). Sort p, s, 2.\nAnswer: p, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/4 - 6*t = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 5:21 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 75000 = -3*n. Suppose 0 = -0*b + 5*b - n. Round b to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*s - 168, 2*u + 253*s - 251*s - 54 = 0. Suppose -5*v - 25 = -4*o, 4*v - 19 - 2 = -5*o. Sort v, -2, u in decreasing order.\nAnswer: u, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -12. Let f be 1 + (g*1)\/4. Let s = f - 3\/2. What is the smallest value in s, 2, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 14*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -111100100 (base 2) in base 4?\nAnswer: -13210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = -3*n - 3*g + 13, 1644 = -5*g + 829 + 820 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5417 greater than 5415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.01 * 1.\nAnswer: 2.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - ((3 - 3) + -6 + -1)) + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + k - 78 = 0, 139 = 5*d + k + 9. What is the closest to -2\/7 in d, 6, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 2*t - 2*t - 3*t + 5*t - 4*t + (-1 + 0 + 0)*(3 + 2*t - 3) - 2*t + 3*t - 3*t - 3*t - 3*t + 3*t)*(-4*t + 95 - 2*t**4 - 97 + 2*t).\nAnswer: 14*t**5 + 14*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -113*s + 22057. Let g(z) = 8*z**2. Determine t(g(l)).\nAnswer: -904*l**2 + 22057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2925263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -20*v + 157. Calculate u(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**6\/120 - v**5\/30 - v**4\/3 - 2*v**3\/3 + v**2. Let o be f(6). Is (o\/(-6))\/(18\/(-189)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 + -45. What is a rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188456 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: Let m be (-66)\/(-15) - (-14)\/(-35). Let g(u) be the second derivative of -u**4\/12 + u**3\/2 + u**2 - u. Let y be g(m). Let h(z) = z**2 + 5*z + 3. What is h(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 2, p: 1, k: 3, f: 4, z: 1}. Give prob of picking 2 k and 1 z.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-5 + 1 - 3*h + 2 + 3*h + h - 2*h + (0 - 2 - 9)*(-4*h + 5*h - 3*h)).\nAnswer: -21*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**3 - 7*s**2 + 0*s**2 + 2*s**2 + 2 + 3*s**2 as v*s**2 + i*s**3 + j*s + w and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387530.\nAnswer: 2, 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 1 (c) 2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -124. Suppose 2*x + 3*x = -3*f - 145, 4*f = 3*x + o. Does 13 divide (-36)\/4*x\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p. Let c(m) = -12*m - 87. Let z(o) = -5*o - 45. Let i(f) = 2*c(f) - 5*z(f). Calculate i(y(x)).\nAnswer: 8*x + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 222376 = -z - 2*z, 2*y = 5*z + 55594. Calculate the highest common divisor of y and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 12*i**2 - 12*i + 18. Let g be q(11). Let m be 167\/15 + (-26)\/(-30) + -1. Let r(a) = 419*a**2 - 208*a**2 + 6 + 3 - m*a - 210*a**2. Give r(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 19*z - 1. Calculate the remainder when t(-11) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3*w - 9 = 0, -29*t = -24*t + 4*w + 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) 1\/13 (c) -0.2 (d) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -28. Suppose -3*z + 28 = c*v - 0*z, -5*z = 4*v - 20. Suppose -v + 0*h**3 - 10 + 3*h**3 - 5*h**4 - 13*h**3 + 15*h**2 + 20*h = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21212101 (base 4) in base 15?\nAnswer: b9ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 319737418 + -319979073.861. Let k = i - -241653.66100039. Let j = 2.2 + k. Round j to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -149218865234.\nAnswer: -149218865234.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -209 + -2 + (-18)\/(-6). Calculate the least common multiple of 5 and ((-2)\/4)\/(52\/u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 555 + -1109\/2. What is the nearest to i in 5, -0.07, -6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80 + 14 - 4 - 10 - 23*h wrt h.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*w = 36, -2*d + 587*w = 588*w - 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*o - 56 - 353 - 23 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 2126?\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 924\/(-5148)*90\/(-35)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.05 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -352 - -353.616. Let i = 0.046 - h. Round i to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(88)*2)\/sqrt(4) - sqrt(1078)*-2))\/((sqrt(20)\/sqrt(2)*-5)\/(-3*sqrt(15)\/sqrt(3))).\nAnswer: -288*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3410631.\nAnswer: 3, 7, 43, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 2, -15 in descending order.\nAnswer: 10, 3, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 231062495202 less than -0.5?\nAnswer: -231062495202.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -11201102010?\nAnswer: -11201102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:33 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243395 and 10020?\nAnswer: 487763580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3554 = -3*t + 1801. Suppose -t = -5*b - 5*d, d = -5*b - 2*d + 1775. Let l = b + -204. What is the remainder when l is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose 20 = 4*p - t*d, p + d + 7 = 2*p. Solve -2*l - 15 = -l - 5*j, p*l + 9 = -3*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30\/17? (a) 1\/6 (b) -0.11 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261*a*v**6 + 262966*a*v**2 - 22*a + 34426*v**6 wrt v?\nAnswer: -31320*a*v**3 + 4131120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(567)*2)**2.\nAnswer: -72*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 816222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/2 + 62*i**4 - 2399*i**3 + 29574*i**2 - 227529*i\/2 = 0.\nAnswer: 0, 9, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -9, -2, -5, 3, -1.\nAnswer: -9, -5, -2, -1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 48 = 4*z, 2*z - k - 24 = -5*k. Calculate the greatest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1646.643 centuries?\nAnswer: 16466.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44010 is divided by 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.5 - 0.5. Let v = 8450 + -42252\/5. Which is the biggest value? (a) u (b) -4 (c) 5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-130)*(28\/(-13) - -2). Is o at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 0*a + a + (-1 + 2 + 1)*(a - 2*a + 2*a) + 2*a - 5*a + 2*a + (-62 + 84 + 99)*(-2 - 2*a + 2)*(0 - 4 + 5) as v*a + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -h - 8. Let o(t) be the first derivative of 0*t**4 + 0*t - 3 + 0*t**2 - 1\/3*t**3 + 0*t**h - 1\/2*t**6. Find the third derivative of o(r) wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 12 - 4. Let q(h) = k - h**2 - h + 1 - 7. Calculate q(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 3 + -2 - (3736 - 3746)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*3)\/(((-7)\/(-35))\/(12\/(-90)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*h + 6 = g - 2*h, -3*h - 12 = h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 - 1040 = -3*w. Calculate the greatest common factor of 267 and w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -68*d**3 - 4*d**2 - 20*d + 9. Is z(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) -12\/5 (c) -1 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*u + 1 = 211*u + 33 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/10 and (6163792\/28544)\/(-31) - -1*7.\nAnswer: 8920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-6))\/(-4)*(-6)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167759 + 665170. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a = 2. Let g = 0 - a. Let w be (6\/(-57))\/(-1*g). What is the third smallest value in 3, w, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 670 divided by 134\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 4 (c) 451\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 9:35 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1530\/(-40) - (-3)\/(-4). Let s = -43 - q. Let o(m) = -m**3 + 3*m**2 + 8*m - 4. Let y be o(s). What is the highest common divisor of 114 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 0. Suppose -2*y - 5*h + 8 = 0, -5*h - u = -3*y + 31. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 2. Let v(b) = -93*b**2. Determine v(o(j)).\nAnswer: -372*j**2 - 744*j - 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p + 85\/6 - 1\/6*p**2 = 0.\nAnswer: -5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - 0 - -4) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96 - 23*b**2 - 44*b**3 - 4*b + 28*b**3 + 17*b**3 + 14*b**2.\nAnswer: (b - 8)*(b - 4)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a - 371*a**2 + 30*a - 38*a.\nAnswer: -371*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-62))\/((-48)\/80). Let y = 17\/279 + l. Calculate the common denominator of y and -29\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(39)\/sqrt(3) + 0 - (-3 + sqrt(65)\/sqrt(5))**2)*2.\nAnswer: -70*sqrt(13) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.444585 rounded to one decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43061*i*m**4 + 2*i*m**2*s + i*s**3 + 2*i*s**2 + 424*i - 7*m**3*s**3 - 48*m**2*s**3 + 2*s**3 wrt m?\nAnswer: -1033464*i*m - 42*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 17. Let z = -19 + p. Suppose -11 = 3*f - 0*r + r, -z = 3*f - 4*r. Which is the second biggest value? (a) 1\/3 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 u when four letters picked without replacement from cggulgssuguguus?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 630 (b) -2 (c) 8\/7 (d) -0.1 (e) 4\/9 (f) -6\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - 4*r - 4*r**3 - 4*r**3 + 3*r**3 + 4*r**3 + (-2*r + 2*r + r)*(-9*r + 5*r - 3*r)*(-1 + 1 - 2*r) as j*r + w*r**3 + c*r**2 + a and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r - 4*z = 41*r - 17308, 69160 = 4*r - 2*z. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -127? (a) 0.2 (b) -2\/3 (c) 5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u - 48. Let k be h(15). Let l(p) = p**2 - 6 - 10 + p - 12 + k. Let b(q) = -6*q**2 - 5*q + 8. Determine 2*b(d) + 10*l(d).\nAnswer: -2*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((2*sqrt(320))**2 + 3)*-1 + -1*-6*(sqrt(320) + 3)**2 + 1).\nAnswer: -692 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/310*-1*-35*(-10)\/(-70)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 12*o**2 + 36*o - 48. Give v(-14).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 3*d**2 + 3*d + 487. Does 12 divide q(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 2*a + 2*a + (-2 - 1 + 0)*(-2*a + 3*a + 4*a))*(1 - 1 + 4) + (-2 + 2 - 3)*(0*a + 4*a - 2*a) to the form r + b*a and give b.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 b, and 2 r when four letters picked without replacement from bblxrxxxbr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {t: 6, h: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12*i**3 + 16*i**2 - 38*i + 514. Let p be c(13). Round p to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.26 (c) 11\/4 (d) -1 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s. Let v(y) = -y + 1. Let n(o) = -g(o) - 4*v(o). Let b be n(-2). Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 12 = -13*l. Which is the closest to -3? (a) -0.5 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*0.811\nAnswer: 0.04055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j. Let n(h) = 19*h**2 - 459*h - 455*h + 914*h. Give n(i(k)).\nAnswer: 475*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**3 + q + 4*q**3 - 4*q**3. Let k be (1 + -3)*1\/(-2). Determine o(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 3968.\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-6)\/(-15) + (-6)\/30. Let s(m) = 11*m - 5. Let i be s(w). Find n such that 3\/2*n**3 - i - 15\/2*n**2 + 12*n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4104 and 1441800.\nAnswer: 27394200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163945740*f - 72527865.\nAnswer: -163945740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 5 - (1 + -9) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.505 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33149276*q**2 - 33149275*q**2 - 1 + 1.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-15)*-2*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64020 - 661*u - 64020)*(-3 - 1 + 3).\nAnswer: 661*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 15. What is the greatest common divisor of 24 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.1. Let m = l + -0.1. Which is the smallest value? (a) m (b) 4 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/12 + 2*q. Let r(f) = 202 - 2*f - 99 - 103. Calculate i(r(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 10*y. Let a be v(7). Let k be (-18)\/a*(-1)\/(-3). Let x = 0.8 + -0.3. What is the smallest value in k, x, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/21*(-3)\/(9\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2756946 - -0.12.\nAnswer: -2756945.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354971061 to the power of 1\/3, to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-5)\/c))\/c**(-13)*(c**(-1\/3))**(1\/2) assuming c is positive.\nAnswer: c**(119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*b**4*q**3 + 9*b**3*q**3 + 81*b*q**2 - 2*q**3 wrt b.\nAnswer: -360*b**2*q**3 + 54*b*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 12*x + 9. Determine i(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 - -475. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 8*u**2 + 2*u + 12. Let j be q(6). What is the units digit of ((-1)\/(2\/j))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0 + (-28)\/(-16). What is the smallest value in -1, x, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -2 (b) 69 (c) 3 (d) 0 (e) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 51 - 2*d + 100.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/5 + 36\/60. Let t(j) = 5*j**2 - 132 + 132 - 3*j**y. Let b(l) = 15*l**2 + 11. Let v(c) = 7*c**2 + 6. Let u(d) = 6*b(d) - 11*v(d). Calculate t(u(a)).\nAnswer: 338*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/242 - (-26)\/22. Suppose 25 - f = -4*u. Let z(h) = h**2 + 8*h + 7. Determine z(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4907*u. Let j(d) = -4*d. Determine j(n(p)).\nAnswer: -19628*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/14 and 4 + -1 - (-635)\/(-50).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000838037 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 16*m - 14. Let y(w) = -5*w. Let k(c) = -u(c) - 3*y(c). Let h(j) = 1. Determine 6*h(v) - k(v).\nAnswer: v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 3*o + 10*o**2 - 3*o to g + z*o + p*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 + 1753560*v**3 - 1753558*v**2 = 0. What is v?\nAnswer: 0, 1, 876779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/(4\/(-8))*(29 - 33)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2633 - -18301\/7. Let g = r - -19. Let l = -0.3 + 0.3. Which is the fourth biggest value? (a) 4\/11 (b) l (c) g (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5822*u**4 - 3*u**3 + 19961*u**2.\nAnswer: 139728*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1249306 and 3318.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Let f be y(5). Let j(i) = i**3 + 4*i**2 - 2*i - 4. Let r be j(f). Let b(o) = -o + 2. Calculate b(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 4.915742 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 855770454 a multiple of 1827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 + 3 + 2*t**2 - 6 + 0*t**2 - 4*t**2 in the form g*t**2 + z*t**4 + h*t**3 + d + s*t and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 699 divided by -79.\nAnswer: -699\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22475209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20282 is divided by 6659?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39781 + 125423 = -2118*v for v.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from etrerttrtetr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2*l*m - 2*i**2*m**3 + 36*i**2*m - 3559*i*l*m**3 + 11*i*l*m**2 + 103*l*m**3 - 2*l*m**2 - 3*l*m + 2848*m**2 wrt m?\nAnswer: -12*i**2 - 21354*i*l + 618*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-135)\/(-66) - 4)\/((-1)\/(-2)) and -3 - ((-67)\/11 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(209)*2*1)\/(sqrt(99)*1 + sqrt(99) + (2*sqrt(44))\/sqrt(4)) + 0)*-5 + -1.\nAnswer: -1 + 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.48 - -70?\nAnswer: 71.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 16*c - 66. Let u be o(6). Solve 5*s + 10 = 2*g + g, -5*s = g + u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6234 and 6.\nAnswer: 6234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11142.6? (a) 2\/7 (b) -2\/3 (c) -425 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*j = 5*r + 9, 3*r = -j - 1. Let f(y) = -y + 2. Let d(g) = 4*g + g - 8*g - 3*g + 7*g - 2. Calculate j*f(o) + 3*d(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Let z(y) be the first derivative of y**4\/4 - y**3 + 2*y**2 - 3*y - 197. Give z(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2316640 by 463328.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110101100000 - -1000100?\nAnswer: 10101110110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -39.0604. Round q to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2743.16621 and 4.\nAnswer: 10972.66484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) + sqrt(240)*4)*6 - sqrt(240))\/sqrt(8))\/((2*-2*sqrt(90))\/sqrt(9)).\nAnswer: -29*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497 = 2*v + w, 128*v - 467 = 126*v + 5*w. Calculate the highest common factor of v and 902.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 10*o**2 - 180*o - 64. What is z(-19)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 75 + 529 + 2*m - 36 in the form f*m + j and give j.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = -5*z. Let f be (-15)\/z + (-16)\/4. Let u = -2 - f. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/77 - (93\/(-21) - 0). Suppose 4*c = -a*b + 492, 5*b + 4*c - 256 = 3*b. Suppose 3*k - 128 = b. What are the prime factors of k?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2694498 in 2, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 85 - 100. Let d be (-1 - h)*4*(-4)\/(-288). What is the second biggest value in d, 2\/25, 0.3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663 + 23 = -32*h. Let i be 0 + 0 + -2 + 4. Suppose -i*d + 9 = d. Calculate the remainder when h is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 852 and 29897106.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 40*n + 84.\nAnswer: 4*(n - 7)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*o - 15 + 40 = -102*o - 4*z - 35, 0 = 486*o - 4*z - 60 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6701, 5 in descending order.\nAnswer: 5, 3, -6701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 - 17*a + 61. Let v be h(7). Let c = v - 1909\/14. What is the common denominator of (-382)\/(-88) + 3\/12 and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138696584 or -1?\nAnswer: 138696584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**9*o**(-1))**2 assuming o is positive.\nAnswer: o**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 4 + 0*b + 1)*(-5 + 6 + 0)*(3 + 2 - 8).\nAnswer: 6*b + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -49. What is the nearest to -0.1 in 2, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 17*p + 5. Let y(l) = -290*l - 588. Let z be y(-2). Give n(z).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 405 = 105. Let c(d) = -b - 72 + 147 - d**2. Let f(q) = 27*q - 2. What is c(f(t))?\nAnswer: -729*t**2 + 108*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 - 8*t - 6. Let a(u) = -u**2 + u + 1. Give -14*a(k) - 2*v(k).\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.0036, -14.018 in decreasing order.\nAnswer: -0.0036, -3, -14.018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + y + 3. Let u be k(-2). Let v be 103\/4 + ((-31)\/4 - u). Is v < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -41*y**3 + 9*y**2 - y + 76. Let k(o) = 10*o**3 - 2*o**2 - 19. What is -2*c(v) - 9*k(v)?\nAnswer: -8*v**3 + 2*v + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*j - 966 - 404*j - 392*j + 1186*j.\nAnswer: -2*j - 966","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59424)\/(-18570))\/(39\/(-15)).\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + w = 6860 + 12131, 81 = -9*w. What is the highest common factor of 152 and j?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 times -0.1?\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*f = 4, 4*s - 4*f + f = 28. Suppose 0 = -s*d + 10*d - 96. Let k = -8 + 28. Solve -3*y = -m + d, -3*m = -y + m - k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - ((1 - -39) + (-83 - -90)).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c0869 + -6?\nAnswer: -1c0871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -894 = -4*o + 2*n + 1114, -4*o = 4*n - 2032. What is o rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 346 = 242. Let w = 423\/5 + q. Find d such that w*d**3 - 1\/5*d**4 + 0 + 1\/5*d - 3\/5*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 16, -54, -9.\nAnswer: -54, -9, -6, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 + 123. What is the third derivative of 11411*n - 11411*n + 19*n**2 - 1 + 185*n**l wrt n?\nAnswer: 4440*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 13*y**2 + 3. Calculate c(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -8 - (-22 - (-29 + 3))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2740*y - 2741*y + 762 - 189)*(2*y**2 + 2*y**2 - 3*y**2).\nAnswer: -y**3 + 573*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0008 - 4263.\nAnswer: -4263.0008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-7 + 1)) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2973105 and 720495.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -93 (b) 3 (c) 2 (d) 0.03 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 47*a**2 + 26*a - 34. Let o be v(24). Solve -20*i = -l - 23*i - o, -5 = 4*l - 5*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 12510?\nAnswer: 12509.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k + 341\/120*k**6 + 0 + 0*k**5 + 104\/3*k**3 - 289*k**2 + 0*k**4. What is the first derivative of a(w) wrt w?\nAnswer: 1023*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 17 + 1 = 0. What is the third derivative of 7*j**2 - 6*j + 963*j**i + 3*j - 1000*j**4 wrt j?\nAnswer: -888*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -886 and -886 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.4 + 19. Let d = -2 + x. What is the third smallest value in -0.6, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 129*q - 928. Give k(45).\nAnswer: -1198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -17*t**7\/210 - 7*t**3\/6 - 6*t**2. Differentiate n(s) wrt s.\nAnswer: -68*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u - 1. Suppose -33*j = 10*j + 13*j + 336. Let r(b) = b - 1. Calculate j*r(l) + 3*m(l).\nAnswer: 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17919 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -111 and -452266?\nAnswer: 50201526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**5\/7 - 1959*p**4\/7 + 9861*p**3\/7 - 5937*p**2\/7 - 9858*p\/7 + 1128 = 0?\nAnswer: -658, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -4 - (7 - 2) - (2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c + c + 2*c**2 - 15 + 7*c + 26*c**2 - 3*c**2.\nAnswer: 25*c**2 - c - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, d: 7}. What is prob of picking 2 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-18)*-2*2883\/248?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2982*s + 12927. What is g(-5)?\nAnswer: -1983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7614765 is divided by 1061?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*h - 8*h + 37 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.937037t in micrograms?\nAnswer: 6937037000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o. Let s(n) be the first derivative of -n**5\/30 + 11*n**2 + 1. Let r(u) be the second derivative of s(u). Determine c(r(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 190218?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 3:04 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let t be b(6). What are the prime factors of 129 + t\/(10\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -206524.\nAnswer: -7\/103262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13930 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206874057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(2\/(-4))\/((-31)\/(-93))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 162189009 divided by 119169\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1007*u + 634 + 563 + 563 - 1762.\nAnswer: 1007*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k**3 - 6*k**2 - 11*k + 3. Let p(b) = -12*b**3 + 10*b**2 + 13*b - 4. Calculate 4*f(j) + 3*p(j).\nAnswer: 4*j**3 + 6*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -255715 at most -255714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2422)\/(-609) + (-9)\/(-3) - ((6 - 6) + 7)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.5276 + -0.0276. Let u = -37.5 + z. Sort 0.12, -2\/7, u in ascending order.\nAnswer: u, -2\/7, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133121 (base 5) in base 2?\nAnswer: 1100110000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -9\/2*y + 55 - 24*y**2 - 128\/3*y**3. Factor s(w).\nAnswer: -(16*w + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.4974ml in litres?\nAnswer: 0.5474974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -550 bigger than -394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1292538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z = 134 + 40. Does z = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*l - 6*l + 8*l)*(10 - 22 + 14 - 4*l**2 + 5*l).\nAnswer: -104*l**3 + 130*l**2 + 52*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.4 + -1.5. Let z = b + -2.9. Let n = -1.3 + 0.3. Which is bigger: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4244540?\nAnswer: 2, 5, 212227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)\/j*j**(4\/7))\/(j**(2\/15)*j**(15\/7)) assuming j is positive.\nAnswer: j**(-314\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1100)*3)**2 + -4 + (2*sqrt(396))**2.\nAnswer: 41180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - g**2 - g + 1. Let n(b) = 10*b + 0*b**2 - 4 + 6*b**2 - 4*b - 2*b**2 - 8*b**3. Let f = -37 + 36. Calculate f*n(i) - 6*q(i).\nAnswer: 2*i**3 + 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.05, -240, 62\/949?\nAnswer: 62\/949","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1510*b + 1514*b = 0, -15 = -5*m - 3*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yanf when four letters picked without replacement from {y: 1, n: 2, a: 1, j: 1, f: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413442127?\nAnswer: 7, 47, 197, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 + 1110?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, b: 2, u: 1, q: 5, a: 1}. Give prob of sequence bqau.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39\/49 + -18\/49. Let b(g) be the first derivative of -2\/35*g**5 + 4\/7*g**2 - 13 + 0*g - 6\/7*g**3 + c*g**4. Factor b(s).\nAnswer: -2*s*(s - 4)*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*r*y**3 - 881293*r*y**2 + 3514*y**4 wrt y.\nAnswer: 120*r + 84336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*g**2 - 30*g**2 + 62*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**2))\/(d*d**(-8\/7)))\/(d**0)**(-25) assuming d is positive.\nAnswer: d**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-1)\/(-1 + -1)). Suppose g = -g + u. Suppose g*s + s - 36 = 0. What is the highest common divisor of s and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or 2340?\nAnswer: 2340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -5. Calculate the greatest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x - 1. Let q(s) = -4*s - 7. Let f be q(-2). Let m(u) = 8 + 2*u**2 - 2*u**2 + 6*u - 6*u**2. Give f*m(a) + 8*g(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 12:13 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60251425 divided by 4355?\nAnswer: 13835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1339 = -3*h - j - 3*j, 0 = j - 5. Let f = h - -729. Calculate the remainder when f is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2359*d = 2471*d - 2063488. Is 98 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Suppose -a = g*a - 6. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -374869?\nAnswer: -374869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 440\/(-1089) - (408\/(-66) - -6). Which is the third smallest value? (a) -0.8 (b) 1 (c) 1\/2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-3\/2)*a)\/(a**(-9)\/a)*(a*a**1)**(-1\/30))**(-25) assuming a is positive.\nAnswer: a**(-2165\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/(-35)*15\/(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*h = 196*h - i + 102608998, -2*h + 3*i = -68406006. What is h rounded to the nearest 100000?\nAnswer: 34200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, g: 4, t: 1, w: 4, q: 2, f: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.328 + -0.072. Which is the closest to -1\/2? (a) -5 (b) -2\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-42) - (-2)\/(-7). Let d = -0.7 - -0.4. Let w be 2\/(-7) - (2 + -2). What is the closest to w in j, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000227983 rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14819364 is divided by 211705?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = -3*x + 7*l + 30, -2*x = l - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 69 = -34 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112413 and 308.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.22, -0.1, -5, -5\/2, 80.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 3*s**2 + s - 1. Suppose -3*b - 5*o + 0*o = 16, -b = o + 2. What is j(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**3\/3 - 5. Let i(l) = l**2 - 2*l. Let b(d) = -2*d**2 + 5*d. Let m(v) = -4*b(v) - 10*i(v). Give m(a(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*9*(-2)\/3. Let k be (1\/(-3))\/((-2)\/(-3))*8. Let r = n + k. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 2*b)*(-2 - 1 + 7).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -810*j**3 - 894*j**3 + 1655*j**3.\nAnswer: -49*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s**(-11\/6))\/(s\/(s\/((s*s**(-5\/9))\/s))*s**(-23)) assuming s is positive.\nAnswer: s**(247\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t + 41 = -4*i, 11 = 3*t + i. Suppose -h - 4 = 0, h + 0*h = m - 20. Calculate the lowest common multiple of t and m\/72 - (-176)\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8506401.9 minus 175.5?\nAnswer: -8506577.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 198131*f**3 + 1673*f**2 + 1673*f - 1673. Let j(l) = 237*l**3 + 2*l**2 + 2*l - 2. What is -1673*j(m) + 2*r(m)?\nAnswer: -239*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*x - 6*x + 1 = 0, -5*h - 3*x + 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 838, 1364, 1852, 2308, 2738, 3148, 3544, 3932?\nAnswer: 4318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-24)\/80))\/((-10)\/4)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2\/9, 0.1, 28, -198?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3527 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4334 - 332. Suppose 5*r - g = -r. Suppose 0 = -4*v + 3*v + r. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10394 is divided by 2552?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 13 = -2*y, -16 = 25008*y - 25006*y - 2*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -43. Calculate the least common multiple of 10 and ((-10)\/(-7))\/(v\/28).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + j + 2*j - j + (11 - 11 + 4*j)*(0 - 25 - 30) + 3*j + j - 1 + 0*j.\nAnswer: -214*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34618 smaller than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 12*v**2 - 12*v + 11. Let d be f(11). Suppose 4*g + d*g + 16 = 4*p, 0 = 4*g + 16. Suppose 0 = 5*h - 0*h - 15. Solve p = -h*r - 0*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {n: 6, w: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*k + 4*a + 56, 5*a = -15. Let m be 3\/4*(k + -2). What is the second derivative of -5*q**5 + 7*q**3 - 7*q**3 + m*q wrt q?\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.03 (b) -48 (c) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**2 - q**2 + q**2)*(-1 - 1 + 8) - 20 - 3*q + 20 + q**2 to s*q**2 + f + h*q and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:15 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48549 and -0.21.\nAnswer: 10195.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17)\/(k**(-8\/3)\/k))\/(k**(2\/15))**(-7\/4) assuming k is positive.\nAnswer: k**(-131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Suppose -h*t - 8 = 1. Is 19\/1*t\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158883323974052605 - -158883323057260021.00000013. Let j = i + 916792568. Let b = j + 16. Round b to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 2:10 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**3 - 3*h**2 - 11*h - 3. Let r(c) = 8*c**3 + 7*c**2 + 23*c + 7. Let z(g) = -14*i(g) - 6*r(g). Find the second derivative of z(j) wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1)*(3 + -4). Let u be (8\/(-20))\/m*5. Solve h + 4 = 5*x + 3, h = u*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7*((-12)\/3 + -3). What is the first derivative of -26*x**3 - 31 + 12 + u*x - 2*x wrt x?\nAnswer: -78*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i + 47 = 21*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -733 - -813851?\nAnswer: 813117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*m - 5*t, 5*m - 5*t - 18 = 7. Suppose -y = -m - 42. What is the common denominator of (1\/5)\/(y\/2780) and -7\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -z + 17, 3*n = 5*z - 31 + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 215641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(-19 + 15 + 19)*(2 + 0 + 0)*(-2*c + 2 - 2) in the form f*c + k and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-8))\/(3\/10). Suppose 2*j - 10 - 5 = -t*l, -7 = -j - 2*l. Which is the smallest value? (a) 3 (b) j (c) -0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111172863772321 - 111172863772321 - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118731 is divided by 1693.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/((-1)\/2). Suppose 0 = -5*d + 5*n - 20, d - 20 = -5*n - 0*n. Solve 3*k + x = 3, d*k + s*k - x = -3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*s - 1 = 5, -10*d - 5*s + 30 = -15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-9)*12\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*d**5 + 127*d**3 + 43244*d wrt d.\nAnswer: -1340*d**3 + 762*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228367378 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - 49*z - 23. Let s be j(13). Let m(v) be the first derivative of 0*v**3 + s + 0*v**2 - 10*v - 7\/4*v**4. What is the derivative of m(u) wrt u?\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -298, -302, -306, -310, -314?\n\"Answer: -4*q - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -22*k - 164. What is g(-6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -101 + 0*b**3 + 41*b + 1\/2*b**2 - 25\/2*b**4. Find the second derivative of y(f) wrt f.\nAnswer: -300*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-2) + ((-1041)\/285 - 1). Let n = z - -1\/19. Put 2\/9, n, 4 in decreasing order.\nAnswer: 4, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69993 and 301081.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94018719 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-8)\/52 - 11\/13). Solve j = -3*k + k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -16097*g**4 + 16*g**2 - 8*g + 4038. Let h(q) = 10728*q**4 - 10*q**2 + 5*q - 2692. Let p(o) = -8*h(o) - 5*i(o). Differentiate p(t) with respect to t.\nAnswer: -21356*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 3*u + 4. Let w be j(-2). Find n, given that 2*n**3 + 4*n - 2*n**2 + w*n - 5*n - n**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-5)*(-336)\/(-224).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.7, 0.0621, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dda1 - -8?\nAnswer: -dd98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 58.21 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2911*h**2 - 969*h**2 - 971*h**2 - 967*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(4*(-3)\/(-6)). Let f be 22\/4 - (-1)\/2. Let u = f - c. Solve 3*b - 3 - u = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - -41. Let p = 319\/4 - y. Find the common denominator of p and 49\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761*o - 67 - 32 - 1911*o - 515*o.\nAnswer: -3187*o - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**3 - 4*v**2 - 78*v - 38. What is the ten thousands digit of z(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 77601867 and -0.3.\nAnswer: 77601866.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 13. Let j be v(6). Let u = -7 - j. Calculate the lowest common multiple of 2\/(-3) - (-152)\/u and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 43 - 85 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 475936506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*g = 3*t + 29, 0 = -2*g - 10. Let i be 2\/7 + t + (-574)\/(-49). Which is the third smallest value? (a) -2\/35 (b) 1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/(-483))\/((-1)\/2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s = -30. Let h(n) = -n**2 - 6*n + 3. Let z be h(s). Let j(c) = 7*c + 2. Let d(o) = 4*o + 1. What is z*j(b) - 5*d(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = 0, -3*b = 5*g + 75. Calculate the common denominator of (267\/g)\/(1 - (-13)\/5) and 17\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 6574?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4 + 4)*(-10*p**3 + 56*p - 56*p) - 2*p**4 + 5*p**4 + p**4 + 3*p**4 + 2*p**4 - 6*p**4 + (0*p**4 - 2*p**4 + 3*p**4)*(2 + 2 - 5).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 9:53 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**5 + 340*h**4 - 14725*h**3 - 64020*h**2 = 0.\nAnswer: -97, -4, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 59*n + 557. Determine i(-33).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74402719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {q: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -0.01274?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1973295 is divided by 3302.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/264*-6)\/((1491\/28)\/(-71))?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17137478741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 565836 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 232960 times 14?\nAnswer: 3261440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12153642.\nAnswer: 2, 3, 53, 38219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1114, -1100, -1048, -940, -758, -484, -100, 412?\n\"Answer: 3*d**3 + d**2 - 10*d - 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 5. Let n be k(5). Suppose 3*d + 4*z - 8 = 0, n = d + 2*d - z + 17. Let i = 23 + d. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, -5, -34, -16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107767 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 7 - (0 + -32 + -76 + 80).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/2)\/(-85*33\/6732*2\/10).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/195 + (-2 + -15)\/(1005\/(-536)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -3. Let g be (w - -1) + 3 + -2. Find the third derivative of x**3 + 4*x**g - 3*x**3 - x**2 wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.948 + 0.052. Let u = g + -34.99952. What is u rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let b(i) = 3*i - 1. Let c(u) = -5*b(u) - 6*z(u). Let p be c(3). Let y = 16 - 19. What is the closest to y in -0.2, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00271086 rounded to 5 decimal places?\nAnswer: 0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**8\/960 + y**7\/504 + y**4\/12 + 5*y. Let o(i) be the third derivative of z(i). What is the third derivative of o(n) wrt n?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23334 (base 5) in base 4?\nAnswer: 122313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + o - 2 + 0*o)*((-3 + 0 + 4)*(4 + 0 - 2) + (3 + 1 - 1)*(-1 + 10 + 4)) + (0*o + 0*o + o)*(3 - 4 + 0).\nAnswer: 40*o + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3693*j + 17 + 34 - 113 - 37 + 3692*j.\nAnswer: -j - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75 or -112?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2. Let s(k) = 211*k - 3. What is y(s(b))?\nAnswer: 311647*b**2 - 8862*b + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 6*q + 5. Let v = q + 1. Let i(o) = 5*o + v*o + 2 + 2 - 3*o. Let c(n) = n + 2. Calculate 13*c(x) - 6*i(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/12 - 3*y**2\/4 - 55*y\/4 + 143. Factor h(o).\nAnswer: (o - 11)*(o + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 22. Let g be u(0). Let m be 2889\/99 + 0 + (-4)\/g. Let b = m - 14. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 902394024.683237 + -1106789565.68323225. Let c = -204395503 - q. Let j = c - 38. What is j rounded to 7 decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135628 = 21*x + 42200. Let k = x - -17619. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*z - k = -226*z - 4, -5*z + 18 = 3*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/7, 35.226, 1 in increasing order.\nAnswer: -20\/7, 1, 35.226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -51, -88, -135?\n\"Answer: -5*w**2 - 12*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28820 is divided by 104?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6496017257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073671939 rounded to 3 decimal places?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010200220120 (base 3) to base 2.\nAnswer: 10010011100001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 10. Let i = -5 + y. Let r = 0.29 - -2.71. Which is the second biggest value? (a) r (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 22. Let s be g(-10). Suppose -5*m + 6 = -4*y, -s*y + 3*m = 6 - 2. Let v be (6\/y)\/(5 - 3). Solve -2*t + 9 = -v*a, -3*a + 0*a = t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*z**2 + 27*z**2 + 3 - 5 + z**3 - 3*z as y + k*z**2 + x*z + t*z**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 6093 and 1789 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 156062160 divided by 361255\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 632316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qjtyyjqty?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-2)\/(-12)*(-51)\/(-170)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 + x. Let p be j(1). Let l be 1\/(-2)*(-2 - p). Solve l = o + 2 - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -144787 at most -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 1. Let a be ((-1)\/1)\/(1\/7). Let d be o(a). Calculate the greatest common factor of d and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:44 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -6)*((-476)\/(-98) - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*g**3 - 13*g + 13*g - 63*g**3 + 187*g**3 - 45*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**3 - 2*r**2 + 6*r - 2*r - 4*r wrt r.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172423.\nAnswer: 172423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 4*261\/12 + 14 + -9.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 5*j**2 + 7*j + 7. Let v be p(-6). Let t be (-1*(v - 2))\/(4\/(-20)). Sort -4, t, 0, -2.\nAnswer: t, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p + 39. Suppose 3*k + 36 = 3*v, v + 18 = 4*v + 3*k. Calculate the least common multiple of v and y(4).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + -3 + 0 - -1. What is the greatest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 8. Let q be k(-5). Let m = 6.88 + 0.12. Let g = m - 7. Which is bigger: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 45\/208894?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56602.\nAnswer: 2, 7, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 30 = m, 3*x + 18 = -33*m + 28*m. Find d, given that -6\/13*d**4 + m*d + 6\/13*d**2 + 2\/13*d**3 + 0 - 2\/13*d**5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5563 + 313010?\nAnswer: 321603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**5\/120 + 35*x**3\/3 - 21. Let f(l) be the third derivative of r(l). Let o(n) = 36*n. What is o(f(a))?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/2 - 12534*y - 796032.\nAnswer: -3*(y + 64)*(y + 8292)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*2 + -2)**2.\nAnswer: -8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 16*s**2 - s**2 + 0 + 0.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 9735*w**2\/7 + 139074*w + 1800\/7 = 0.\nAnswer: -100, -6\/3245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(448) + 1 + sqrt(448) + -2*sqrt(175))**2*5.\nAnswer: 300*sqrt(7) + 6325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)\/h**(-4))\/(h\/((h**(-1\/3)*h)\/h))**23)**17 assuming h is positive.\nAnswer: h**(-1564\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.75 - 0.25. Let g = c - -10. Let d = -22 - -22.1. What is the closest to d in g, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258896 and 1204720.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 76, 168, 306, 496, 744, 1056, 1438?\nAnswer: 1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*u - b, 4*b + 7 - 3 = u. Suppose -35*n = -34*n - u. Solve -1 = 5*r - 4*c, -3 + 27 = n*r + 3*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:00 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - w = -3413, 3*f = -2*w + 456 - 2496. Let t = f - -976. Let h be 12\/t + 0 + 0. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7404.43369 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53242337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*b, y - 3*b = -3*y. Suppose 14*m - 27*m + 312 = y. What is the remainder when m is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-238 - 58 - 187)*(12 - 12 - 12*x)*(2*x**3 + 2*x**3 - 3*x**3) to the form m + l*x + j*x**3 + n*x**4 + t*x**2 and give n.\nAnswer: 5796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 15*s + 77 = 0. Suppose s*l - 4 = 79*l. Let z be -12*(l - (-20)\/8). Which is the third biggest value? (a) 5 (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9546 and 34410000.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + 1\/(-4). Suppose -4*u = 12, b - 5*b + 27 = -5*u. Solve p*k - b = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12285585.33 to the nearest 1000.\nAnswer: 12286000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqqv. Give prob of sequence qvq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-6)*(-15)\/10. Which is smaller: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 940 from 0.1.\nAnswer: -939.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.2262 litres to millilitres.\nAnswer: 25226.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/4 and (2 - 268\/8)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + (-100)\/(-45). Let q(t) = 4*t + 1. Let u be q(1). Suppose 5 = u*a, 0 = y*l + a - 3*a - 24. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 133, 274, 471?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542 = -3*j + 557. What is the nearest to 1 in 1\/15, 0.052, j, -5?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + 1*sqrt(475))**2 + (3 + sqrt(475))*-4 + -3 + 3)*-4.\nAnswer: -11136 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 98\/5 - (-4)\/10. Suppose 3*d + 38 = u, -o - 39 = 4*d - 3*u. What are the prime factors of ((-1 - 0) + 0)*d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -561*i + 42. Let v be l(-3). What is v rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 4. Let b(p) = p**3 - p**2 - 4*p + 7. Let r be b(2). Sort i, r, 6 in increasing order.\nAnswer: i, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-14)*(-472)\/2478?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**2 - g**2 - 5 + 3*g**2 to the form b*g**2 + d + x*g and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -27*c**2. Let g be (60\/(-330))\/(5 + (-222)\/44). Let j(d) be the third derivative of 0 + 1\/12*d**g + 0*d**3 + 0*d + 12*d**2. What is p(j(s))?\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 22. Suppose -30 = -w + 6*w - z*k, 4*w + 5*k - 21 = 0. Does -2\/121 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8544 times 1625\nAnswer: 13884000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/100*5*-1.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40019, 160064, 360149, 640286, 1000487, 1440764?\nAnswer: 1961129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 4*r = 5*y + 537, -507 = -2*r - y. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127*c**2*m + c**2*u + 3*m*u with respect to u.\nAnswer: c**2 + 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(364))\/sqrt(7))\/(sqrt(16)\/sqrt(4)*5 + (sqrt(16)*1 - sqrt(16))\/sqrt(4)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -45874106.25.\nAnswer: 45874109.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 10:15 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -96246.225779 minus -0.3?\nAnswer: -96245.925779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -132?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 331*c - 295*c + 629*c + 1 + 3 + 0.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28636, 57199, 85778, 114379, 143008, 171671?\n\"Answer: s**3 + 2*s**2 + 28550*s + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (823979\/17095 - 98\/2)\/((-484)\/(-10)).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x\/(x\/(x*x**2\/x)*x)))**(-2\/17)\/(x\/(x**(-2\/5)\/x))**49 assuming x is positive.\nAnswer: x**(-588\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + -0.8905814655.\nAnswer: -66.8905814655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21744.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 354, -498, -1348, -2196, -3042?\n\"Answer: q**2 - 855*q + 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 10.515.\nAnswer: -42.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-644)\/184)\/((-7)\/(-12)). Which is the nearest to d? (a) -3\/80 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + 148 + 3*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**2 - u + 1. Let r be l(-1). Solve -v = -4*m - 2, -2*v - 2*m = 3*m + r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 6*i - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 - 2*o**2 + 4.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (408\/(-24) + 6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/2154 and 103\/66.\nAnswer: 23694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 1. Let j be y(-1). Let r(c) = 5*c**2 + 4*c + 1. Let s be r(j). Let u = s + -21. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176c (base 13) to base 14\nAnswer: 139c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10910397, -10910414, -10910427, -10910436, -10910441, -10910442?\nAnswer: -10910439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 607822 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/838 and 9\/11?\nAnswer: 9218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 4. Let j(w) = w**2 + 1. Let b(s) = c(s) + j(s). Let h(k) = -3*k + 7. Let m be h(3). Let a be b(m). Solve 0 = -3*r - 10 - a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -17.97295?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43723, -2\/63, 0.5, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1063 - 3*o**2 + 1063 + o**3 - 5*o**3.\nAnswer: -4*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -877960415333?\nAnswer: -877960415333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 341662 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.74 - -0.06. Let z = l - 1.6. What is the closest to z in 5\/4, 2\/7, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 4*c + 240. Let z be (-16)\/6*(-252)\/c. Let y(p) = 4*p**2 + 7*p - 9. Let a be y(-5). Calculate the highest common divisor of a and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -52.00084. Round o to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 308*b - 5. Is n(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 17\/13, 4\/9, 3 in increasing order.\nAnswer: -4, 4\/9, 17\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6 - 1\/(-4). Suppose -8*i - 100 = -3*i. Let g be ((-92)\/48*3)\/((-5)\/i). Do g and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-3 - -2 - -1). Is (l\/3)\/((-4)\/(-312)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -537 - -548. Let g = 20 - -2. Calculate the highest common divisor of o and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -10*n - 2. List the prime factors of (8\/n)\/(566\/284 + -2).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15*4\/(-12) + 11796 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 28*w - 21. Calculate the least common multiple of j(-13) and 1\/2*(15 - -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*h - 41*h + 18*h)*(4 - 4 - 3) to the form k*h + p and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6677221 to 1 dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -421, -439, -461?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 73. Solve -5*p = l - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 431310?\nAnswer: -431312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*k + 443 + 1137*k**2 + 7119*k**2 - 965 wrt k.\nAnswer: 16512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -462 and 0.08.\nAnswer: -36.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i + 6. Let w be c(6). Let n be 6\/15*2*-10. Let p = n - w. Solve -5*z = -2*z + p*q + 17, -z + 3*q = -16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 30*a + 110. Let y be o(-33). Differentiate -15*n - 42 - y*n - 49*n**2 + 25*n with respect to n.\nAnswer: -98*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264848 (base 9) to base 10\nAnswer: 161072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18 and (-9)\/21 + ((-48561)\/4095 - -12)?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(171) - (4*sqrt(171)*1 - sqrt(171)) - sqrt(171))\/(sqrt(72)\/sqrt(392))*1).\nAnswer: -42*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 12:00 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 17\/347?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4294200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-66 - -30)) + -30\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213 + 66. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011000120101 (base 3) to base 4\nAnswer: -2111010130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(20)\/sqrt(2))\/sqrt(5))*3 + sqrt(2) + 5*sqrt(2)*1 + (sqrt(2) + (2*-1*sqrt(2) - sqrt(2)) + sqrt(2) - sqrt(2) - sqrt(2)))**2.\nAnswer: 72*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14 - (-12 + (-1276)\/(-154)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**8)**(2\/149) assuming v is positive.\nAnswer: v**(-14\/149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71638 is divided by 353?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*h + 15. Suppose 3*l = 3*f - 278 + 140, 0 = -4*l + 8. What is the greatest common divisor of h and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 130, 0, 1\/3 in decreasing order.\nAnswer: 130, 2\/5, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1218*o**2 + 30*o - 2*o**3 - 151*o - 1218*o**2 as q + w*o**3 + t*o + p*o**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 + w - 11. Let f(j) = -20*j**2 - 4*j + 32. Let r(o) = -17*c(o) - 6*f(o). Calculate r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 4:15 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2272\/(-355)*(-5)\/3)\/(6\/9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*p + 5423, 2*p - 10670 = 4*t - 32352. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 - -30703?\nAnswer: 30681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 433627319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i - b + 4, 0 = 2*i + 2*b - 6. Suppose i*h = 4*h + 9. Suppose -3*r + 2*q = -130, 39 = 3*r + h*q - 66. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*q**4 + 29*q**2 + 27*q**4 - q**6 + 66*q**2 - 10*q**4 + 12*q**2 wrt q?\nAnswer: -120*q**3 + 864*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2789762 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 8) to base 6\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.48 - -3.52. Let i = -0.134 + 0.108. What is the third smallest value in i, b, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10 - -5) + 6)*2. Let u(d) = -6*d**3 + 3*d**2 - 3*d + 2. Give u(r).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = t + 685, 2*t - 175 - 665 = 5*r. Let i = r - -376. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2700, 11390, 25882, 46182, 72296?\nAnswer: 104230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 + 7*o + 10 = 0. Calculate o.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 341, 663, 981?\n\"Answer: -2*k**2 + 332*k - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.263 (b) 0.1577 (c) -1\/8 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1308, 2594, 3856, 5082, 6260, 7378, 8424?\n\"Answer: -2*o**3 + 1300*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 l, and 2 p when four letters picked without replacement from ilddllcipdplll.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 816797879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 60 = 0. Suppose 0 = 19*q - 21*q + v. Solve 3*n = -4*y + 32, -q = -2*y - 3*n + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359507.\nAnswer: 31, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/11, 3, 2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 43. Solve -8*r + 4*r + n = -k, 5*n = -5*r + 35 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 3:02 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 2)*(-3 + 3 - d) + 3*d - 2*d + 7*d + 3*d + 0*d - 65*d + (d + 0*d - 2*d)*(-3 + 0 + 1).\nAnswer: -51*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 351516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2002661\/2 or -1001332?\nAnswer: -1001332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**6 - 4*j**4 - 77*j**2?\nAnswer: -480*j**3 - 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 15 = -5*k, 5*k - 28 + 13 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + v - 18. Let w be 35\/15*(1 + -1 - -3). Let j be i(w). What is the tens digit of ((-2)\/1 + j)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 1162 (c) -36\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 57*m + 254 = -2*h + 27*m, 2*m - 11*m + 35 = -8*h + 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcccpcpptptpt. Give prob of picking 2 c and 2 p.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -116*b + 27*b + 38*b - 5 + 28*b. Let g(f) be the first derivative of -f**3\/3 - 6. Give j(g(k)).\nAnswer: 23*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17882.56m to centimeters.\nAnswer: 1788256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s**2 - 28*s**2 + 5 + 56*s**2 - 3.\nAnswer: -s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1857, -2, 5 in descending order.\nAnswer: 5, 1, -2, -1857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 + 494. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1433 + -79080\nAnswer: -80513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -8. Let b = d - 12. Let m = 2 - 1. Sort m, b, -1\/4.\nAnswer: b, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138558\/5 - 27871. Let j = -160 - g. Suppose 2*q - k + 6 = 3, 5*k - 15 = -3*q. Is q <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, and 2 a when four letters picked without replacement from cahaqnd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7035266 rounded to the nearest ten thousand?\nAnswer: -7040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-15\/4)\/(g*g**(7\/4)) assuming g is positive.\nAnswer: g**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s - 607 = -j, 5*j = 3*s + 3069. Suppose 53*g + u = 49*g + j, 5*g - 785 = 2*u. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2053271.7us?\nAnswer: 0.00057035325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 4, -4, -17754 in increasing order.\nAnswer: -17754, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 + 4*k**2 - 2*k**2)*(-3 - 2 + 2)*(30*k + 8*k + k) to o*k**2 + a*k + m + b*k**3 and give b.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -113*y + 17077. What is u(150)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l**2 + 0*l - 3*l**2 + 0*l.\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3375189897?\nAnswer: 3, 47, 23937517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(832)*-4 + sqrt(832))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 250152145 divided by 50030429\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -36396. What is the thousands digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2476658 - 1015549 = -27*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-264)*12)\/(14\/77)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*a + 95 + 22 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/15 (b) -0.6189 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l**3 + 172*l**2 - 16*l - 22. Let d(i) = 2*i**3 - 53*i**2 + 5*i + 7. Let q(m) = -13*d(m) - 4*u(m). Determine q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59\/175 + -12\/25. Let q = 16.851 + -0.251. Let g = -12.6 + q. What is the nearest to 0 in g, 3\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -711 from 10.3569.\nAnswer: 721.3569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1433, -1431, -1437, -1451?\n\"Answer: -4*h**2 + 14*h - 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 31900*h**2 - 446847*h - 1627614.\nAnswer: (h - 17)*(h + 3)*(h + 31914)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21663, 21653, 21647, 21645, 21647, 21653, 21663?\n\"Answer: 2*o**2 - 16*o + 21677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 = -42*x - 251 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/(u**(-1\/4)*u))\/(u\/((u*((u\/u**2)\/u*u)\/u)\/u))**(-1\/20) assuming u is positive.\nAnswer: u**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 - 5*w - 5. Let d(i) = -i**2 + i + 1. Suppose 10 = 5*h, -2*h = 3*b - 4*h + 19. Let f(l) = b*d(l) - p(l). Let j(k) = 7*k**2. Determine j(f(m)).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (373 - 374 - (1 + -29))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*a + 59*a + 42 = 0, a = 4*m - 2810. Calculate the least common multiple of m and 8.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 448191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14953 and 152.\nAnswer: 119624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2590042 - -2590350.9971. Let y = 309 - f. What is y rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*z**5 + 15*z**2 + z + 2?\nAnswer: 4560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70852127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 + 32693428*u - 133607529298898 = 0. What is u?\nAnswer: 8173357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.989526 * 3\nAnswer: -8.968578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 2. Let p(t) be the first derivative of t**4\/4 + 4*t**3\/3 + 5*t**2\/2 + 3*t + 68. What is p(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/195 - 88\/(-15)) + -3. Suppose -1 + 9 = z + 5*c, 2*z - 9 = -v*c. Solve -b = -z*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 34, 74, 148, 268, 446, 694?\n\"Answer: 2*t**3 - t**2 + 7*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + 3 = 2*u, 5*c + 30 = 5*u. Let y = -1.32 + 0.32. What is the nearest to y in c, 1\/6, 3\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:22 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 871\/6280 - 10\/157. Let t be ((-3)\/(-108))\/((-20)\/426). Let o = l - t. Which is the smallest value? (a) 1\/3 (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 237*s**2 - s + 49*s**2 + 24*s**2. Let g = 138 + -137. Is v(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/(-6) + -5 + 222\/4. Let a = 72 - v. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83439694 to the power of 1\/3, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l - 39. Let k be u(12). Suppose 8 = -3*t + 29. What is the tens digit of t\/k*(-3 + 2 - -58)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -6. Suppose 0 = -2*s - 2*f + 2, -2*s + 0*s + 18 = -2*f. Let c be 0 - -2*10\/(-4). Put s, l, c in decreasing order.\nAnswer: s, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7133921, 7133918, 7133915, 7133912, 7133909, 7133906?\nAnswer: 7133903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33775420 and 2.\nAnswer: 33775420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*1)\/sqrt(6) - 3*sqrt(405))\/((2*sqrt(72)*-6)\/sqrt(8)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 3*j**2 - j**3 + 1 + 0*j**3 + 0*j. Let w be a(-2). Let d(u) = -u**3 + 2*u**2 - u. Determine d(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a micrometer in nanometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6227086 kilometers?\nAnswer: 622708600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q + 335 = -527 + 43 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -846.18.\nAnswer: -4230.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-223095)\/11120 - (11\/(-33))\/(16\/3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -703\/535 + 3\/214. Is u <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*c = 18, 2*f = 2*c + c + 21. Differentiate -9 + 9*v**4 + v**4 + f - 10 with respect to v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/194491 and -49\/2864322.\nAnswer: 31507542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001315646682 rounded to 6 decimal places?\nAnswer: -0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3290 = -31*v - 62*v + 187*v for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2 - 4*n + 5. Let g be t(4). Let a = g + -19. Suppose a*r - 17 = 155. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*t - 15, 5*g - 5*t = 19 - 4. Solve 2*f = 4*w + 18, 5*f - 3*w - 15 - 9 = g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(125) + -4)**2 - (sqrt(55)\/(sqrt(11)*-2) + -2)**2) + -3.\nAnswer: -92*sqrt(5) + 791\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 + 51*h**2 - 2*h - 16*h**2 - 24*h**2 - 2 + h**3 in the form p*h**3 + o*h**2 + x + k*h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40.5 - -6.4. Round p to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35789028 is divided by 4811.\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 48. Suppose -4*q + p = q. Solve -2*i = q + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 2*k**3\/3 - 4*k**2 - 40*k + 12. Let c be r(12). Suppose 0*f + 8*f = c. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**3 + u**2 + 2. Let l(i) = -12*i**3 + 2*i**2 + 5. Let d be (-150 - -142) + (0 - -1). What is d*k(q) + 3*l(q)?\nAnswer: 6*q**3 - q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21185, -21182, -21179, -21176?\nAnswer: -21173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -568, -573, -590, -625, -684, -773, -898?\n\"Answer: -m**3 + 2*m - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 - t**4 + 2*t**4 + (16*t**2 - 12*t**2 + 20*t**2)*(-2*t + 2*t + t**2) + (0*t**2 - t**2 + 3*t**2)*(0*t**2 - 2*t**2 + 4*t**2).\nAnswer: 26*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -a4c806 (base 15) to base 16\nAnswer: -779b5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6670686 rounded to 3 decimal places?\nAnswer: -6.667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(550) + (1*sqrt(550)*1 - sqrt(550)))*-4)\/(sqrt(176) + -5*1*sqrt(176) + sqrt(176)))**2.\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, -0.2, 5, 9\/19510?\nAnswer: 9\/19510","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58099 is divided by 465?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -292.24 - 5.76. Let b = y - -120. Let j = -177.999919 - b. What is j rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 1, u: 1}. What is prob of picking 1 h and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let d be h(8). Let t = d - 8. Solve -3*r = -t*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 6*u + 44. What is the remainder when a(0) is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10286 is divided by 922?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*x**2 - 119*x**2 - 123*x**2 + 497*x**2 - 110*x**2.\nAnswer: 38*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + sqrt(34)\/sqrt(2))**2 + -1*sqrt(51)\/(sqrt(3) + 2*sqrt(3)))*1.\nAnswer: -19*sqrt(17)\/3 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 16) to base 8\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/2 (b) 0 (c) 14 (d) 3\/4 (e) -71 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1016 + 1169. Calculate the remainder when f is divided by 148.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93666 = 53*l - 19489. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(7\/(-6)) - 3. List the prime factors of s - (-6)\/(-4)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24674548369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 383, 389, 397, 407, 419, 433, 449?\n\"Answer: a**2 + 3*a + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 72.82504.\nAnswer: -946.72552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**5\/5 + 275*y**4\/4 - 745*y**3\/3 + 280. What is the third derivative of t(l) wrt l?\nAnswer: -24*l + 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2375*n + 193. What is the tens digit of i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53521130 (base 6) in base 13?\nAnswer: 434a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*g - 25 = 2*g, -8 = 2*g. Calculate the remainder when 62 is divided by (15 + -2)\/(2 - m).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/24 - 5165\/(-360)*3. Let h = -89\/2 + u. What is the smallest value in 16, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401856?\nAnswer: 2, 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 7:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let m = -83.5 - -73. Let t = m - -9.5. What is the nearest to w in 2\/19, t, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.2, 112, -33814, -2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835853 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19685 is divided by 84.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*p**6 + 6*p**4 + 33*p**3 - 2*p**2 + 3458*p - 1.\nAnswer: 1800*p**3 + 144*p + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -28, 28, -5 in increasing order.\nAnswer: -28, -5, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 + 51141*a**3 + 749527*a**2 wrt a?\nAnswer: 240*a**3 + 306846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 714641327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -193636 divided by -4?\nAnswer: 48409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*s = -6, 3*l = 2*l + 2*s - 2. List the prime factors of 8*(0 + l\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + 8 + -1 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 2*n + 3. Give t(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -222984 (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-8))\/((-2)\/(-8)). Suppose -3*f - 14 = 4. Let t be 1*(1 + v\/f). Is -1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 15367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 6*f**4 - f - 4*f**4 + (-f**2 + 1 - 1)*(-1849*f**2 + 866*f**2 + 1296*f**2).\nAnswer: -314*f**4 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 6*i + 3. Calculate the least common multiple of 90 and r(-5).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b - 1\/3*b**4 + 2\/3*b**3 + 0 - 1\/3*b**2.\nAnswer: -b**2*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1529, -3056, -4583?\n\"Answer: -1527*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -86244, -86251, -86260, -86271, -86284?\n\"Answer: -c**2 - 4*c - 86239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -0.17555?\nAnswer: 0.82445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19893724 to the nearest integer?\nAnswer: 4460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -132360 or -132334?\nAnswer: -132334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 r, and 1 q when three letters picked without replacement from frqfrfd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 25*h**2 - 26 + 4*h**3 + 46 - 23*h**2 to the form y + u*h**2 + o*h + s*h**3 and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 8, -3*o + 5*a - 17 = -2*o. Let v(s) = -s**2 - 10*s - 8. Let y be v(-9). Sort -2, y, o in decreasing order.\nAnswer: o, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319043?\nAnswer: 109, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 1070 = 3*g, 2*f = -2787*g + 2792*g + 72 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 3136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Let d = -2 + k. Let a(n) = -n**2 + 2*n + 1. Let p(w) = -8*w - 3. Let i(v) = -4*a(v) - p(v). Determine i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 18536?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 197?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 10755710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*p + 194 - 1396, 4*p - 4804 = -4*h. Suppose -4*v + 8*v - h = 0. Suppose -v = 9*n - 12*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 804923 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -107000 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 4*z - 9. Let w be d(0). Let i(x) = -x**2 - 5*x + 1. Let n be i(-6). Let s = w - n. Which is smaller: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p - 17. Let q be 1\/((6\/2)\/(-21)). Is y(q) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 - -173. Suppose 0 = 2*t - 19*n + 21*n - 14, -t - 4*n = -16. Solve -t*d - u + 4 + 21 = 0, b = -5*d + u + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 75*v - 76*v + 165675 = 0, -5*f + 2*v = -138071. What are the prime factors of f?\nAnswer: 53, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200131 + -3?\nAnswer: 2200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/203*21\/2)\/((-9)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 30258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 - 5 - (86 - 76)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 267.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -37. Let q = -16 + d. Let l = q + -3. Calculate the highest common factor of 45 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 500 and 80.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 4301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 7. Let h be c(6). Suppose 70 = h*j - 0*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4749117 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1215 - -1574. Which is greater: 0.2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 953*g - 1. Let r(h) = 2*h**2 + 18. Give u(r(p)).\nAnswer: 1906*p**2 + 17153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -12*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126*q**3*t - 2*q**3 + 16*q**2 wrt t?\nAnswer: -126*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3535991508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -623, -629, -639, -653, -671, -693?\n\"Answer: -2*n**2 - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 81 = 9*c. Sort c, -1, -4 in ascending order.\nAnswer: c, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 21 = -6*v. Solve 0 = -3*a, a - 8 = -v*t - 2*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*i + 15. Let j be (-1)\/2 + 4\/i. Put 1, j, -5 in increasing order.\nAnswer: -5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -5*h**5\/12 - 8*h**3\/3 - 3*h**2 - 2. Let b(g) be the first derivative of f(g). Let c(l) = -2*l**2. What is b(c(s))?\nAnswer: 100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -20*v**2. Let j(f) = -2035378*f**2. Give b(j(z)).\nAnswer: -82855272057680*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3359 + 3358.7. Let l = -1\/122 + -485\/366. Which is the nearest to 9? (a) -0.5 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16364803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.002 - -15.\nAnswer: 15.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49\/4 + -23\/2. Let l = 6 + -3. Let w = 754.3 - 754.3. Which is the third smallest value? (a) w (b) n (c) l (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3267155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 8*m**2 - 9*m - 13. Let u(r) = 2*r**3 + 16*r**2 + 18*r + 26. Let y(s) = -7*a(s) - 3*u(s). Let o be y(-7). Put o, -4, 4 in increasing order.\nAnswer: -4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 49. Suppose 3*u + 7 = -h + 21, x = 3*u + 4*h. Calculate the common denominator of 19\/20 and (-30)\/(-45) - (-78)\/u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + (-3)\/(-12). Solve -5*h + h + 2*v + 4 = 0, -5*h + 4*v + 2 = w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603581.\nAnswer: 11, 37, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s + 2*z - 2, 0 = -5*s - z + 21. Let x = -23 - -16. Sort 3, s, 4, x in descending order.\nAnswer: s, 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5394 (base 13) in base 4?\nAnswer: -2311131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 217*i**3 + 215*i**3 + 10*i + 3*i**4 + 0*i**4 + 2 to the form o + w*i**2 + f*i + s*i**4 + d*i**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -10, -3, 32, 107, 234, 425, 692?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*s + 18*s + 7*s**2)*(-12679 - 12714 + 25304)*(3 - 4 + 2) in the form c*s + q + r*s**2 and give r.\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -125\/1522, 235, -4 in decreasing order.\nAnswer: 235, 2, -125\/1522, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -974, -3812, -8530, -15128, -23606?\n\"Answer: -940*v**2 - 18*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 q when four letters picked without replacement from rmlqlrllmmrllql?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9856690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10577, 10663, 10887, 11321, 12037, 13107, 14603?\nAnswer: 16597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 3*z - 2. Let i = -1867 - -1862. Let y(t) = -2*t**2 - 3*t + 2. Calculate i*y(d) - 4*k(d).\nAnswer: 2*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) 1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w + 18. Let a be p(-24). Let i = a - -296. Solve -31 = -3*c - i*r + 7*r, 0 = 5*c + r - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 134*f - 62*f - 144 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.9, -34, -3, -23.7, 5, 4 in descending order.\nAnswer: 5, 4, -3, -3.9, -23.7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 + 7 + 247*o**2 + 9 + 13 - 29 + 26*o wrt o?\nAnswer: 494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 48 = w, -b - 2*w = 3*w - 2 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 2*k + 20)*(4*k - 8*k + 18*k).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from qqqqqqqqtqqqq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64556 is divided by 742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387287.\nAnswer: 241, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2. Suppose 0 = 3*i - 6 - 0. Let f(y) = y**2 + 2*y**2 - 4*y**2 - y**i. Determine c(f(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -157\/6. What is the closest to 1 in y, 5\/4, 3\/5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13608*f**2 + 13607*f**2 - 157 - 231)*(-2*f + 4*f - f)*(-1 + 0 + 3)*(3*f + f - 3*f) as v*f + n*f**2 + r*f**3 + s*f**4 + u and give n.\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 82*i + 2085. Determine n(-49).\nAnswer: 1301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzx when three letters picked without replacement from {o: 1, h: 1, z: 1, x: 1, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/54, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*f - 2444 = 10*f - 14819 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 19*c - 22. Let n be (4 + (2 - 4))*1*8. Let h be b(n). Is 5\/(65\/9111) + 4\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**5\/20 + z**3\/6 - 17*z**2\/2 + 623*z. Give j(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, e: 1, t: 2, j: 1}. What is prob of picking 1 t and 1 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -50, 3, 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2\/40) + -2. Suppose -n = 2*l - 6*n + i, -11 = -3*l - 2*n. Let g be 0 + 0 + 1 + 1. Is l less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-20))\/3 + (-1)\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 44 = 5*s - 57, 4*s = -2*k + 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16520913 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*2*(-4)\/(-16). Let s be (3 + z)\/(-3 - -1). Suppose -u - 12 = -2*u. Solve 0 = -s*f + 4*f + u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**4 + 40*j**3\/3 + 14*j**2 - 16*j - 40\/3 = 0.\nAnswer: -5, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3387018\/7 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 9*z - 36 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p - 2*p - 4*p + 1 + (-1 + 0 + 0)*(-5*p - 3*p + 4*p) in the form h*p + r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*i*n + 2*g*i + 24*g*n*u**3 + 2*g*n*u**2 - i*n*u**3 - 9*i*n*u**2 + 2*n*u**2 with respect to i.\nAnswer: g*n + 2*g - n*u**3 - 9*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001167926 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 1. Let b(r) = -4*r**2 + 2*r + 18. Calculate -b(u) - 5*k(u).\nAnswer: -u**2 - 2*u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - 134?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121 + 210201121102?\nAnswer: 210201110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 3. Let j be 273\/3 - (11 + -10). Let k = 96 - j. Calculate y(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.2 (b) -3 (c) 0.7 (d) 5\/6 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -0.1, -1\/6, 3, 28\/3.\nAnswer: -1\/6, -2\/13, -0.1, 3, 28\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110860572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven eighths of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -635 and -611 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -13907, 2, 5 in ascending order.\nAnswer: -13907, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -12*n + 41. Calculate the remainder when v(-12) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v + 2 - 6 + 3.\nAnswer: -25*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 8. Let g be q(2). Let t be 56\/g*24927\/64. Let o = 1815 - t. What is the common denominator of o and 19\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -273*k + 2176. Give l(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 50006*x**3 + 0*x - 24995*x**3 - 25014*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeerejrjrsrerjerjje. What is prob of picking 2 s and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*q - 1917 = -54*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l + 0*l + 0 - 9 + l**2 - 3*l. Let m be s(8). What is the second derivative of -2*j**4 + 4*j**5 + 2*j + 2*j**4 - m*j wrt j?\nAnswer: 80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = 0, -4*g - f = -1790 - 60707. What are the prime factors of g?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62268 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38418, 153496, 345234, 613626, 958666, 1380348?\n\"Answer: -x**3 + 38336*x**2 + 77*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2554460680 to the nearest integer?\nAnswer: 50542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 - 3*r**2 - 5*r - 4. Let j(f) = -5*f**3 + 5*f**2 + 6*f + 6. Let b(x) = 4*a(x) + 3*j(x). Calculate b(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l + 1872 = 56*l. Does 78 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-42) - (-2 - 2\/3). Let r(b) = -2 - 19*b - 10*b + 30*b - b**n. What is r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2280 and 10580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1685 + 1?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a**2 + 4*a**3 - 3*a**3 + 3 - 5. Suppose 5*b = 2*p - 2, -4*p - 13 + 45 = 4*b. Let u be ((-406)\/87)\/(4\/p). Give z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0.1, 1, -0.35 in ascending order.\nAnswer: -24, -0.35, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -655*d + 660*d - 36, 3*g - 73 = -10*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 804 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -205*o. Let k = -6 - -2. Let h be b(k). Suppose a - 5*a + h = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*y = -12, 75*y = 73*y + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*15*(-28)\/(-70).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 769356 and 109908.\nAnswer: 769356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -167989\/109 (c) 0 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 4. Let n be q\/(-1 + 0\/3). Which is bigger: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + 2 + -2 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*d + 1)*(329*d - 339*d + 2*d**2 + 931*d).\nAnswer: -4*d**3 - 1842*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22109878 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmllmmlmmlll. What is prob of sequence ll?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 885, 3538, 7959, 14148?\nAnswer: 22105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 311, -7253, -2 in descending order.\nAnswer: 311, -2, -4, -7253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:35 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/(-3*(-14)\/(-63))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.42723 millilitres?\nAnswer: 0.00042723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -24879000 to the nearest one hundred thousand.\nAnswer: -24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -347, -348, -349?\n\"Answer: -p - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -6*q + 664. Let c be 5*3 - (-5 - -3). Calculate the greatest common divisor of c and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from {x: 3, p: 2, o: 1, a: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*z**3 + 88283*z - 88283*z + 55*z**2 - 4 + 1 + 37*z**2 to n + y*z + t*z**3 + f*z**2 and give f.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-11088)*7*15\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 - -1001001101011010110?\nAnswer: 1001001101010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10160139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 4) to base 13\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 1, h: 4, c: 5}. Give prob of picking 4 c.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119 is divided by 127.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 1. Let f = 5 - u. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -4.8, 4 in decreasing order.\nAnswer: 4, -2\/19, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 74*r**2 - 79*r - 435. Give t(-73).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -3.5, 128, 21\/44?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27741\/28 + (6\/(-60))\/(4\/30) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348 - 274) + (-882)\/21.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 + 3897148*s + 11691480 = 0. Calculate s.\nAnswer: -3, 974290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*u**3 + 9*u**2 - 6*u + 61?\nAnswer: -60*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/8 or -108?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11202303131 + 0?\nAnswer: -11202303131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623 (base 7) to base 14.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/7 - 1476*v\/7 - 8928\/7 = 0 for v.\nAnswer: -6, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 0.3, 4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5)*5\/(-38)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - (-12)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31586.164 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Suppose 0 = z*h - 3*h + 22. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 2*j - 28 - 17 = -12*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -0*g + 2*g + 1, 3*v = 2*g - 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a = 4*m - 0*m - 152, -4*a = 246*m - 242*m - 64 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -2*f + 4. Let g be f\/9 + (-2)\/(-6). Suppose 0*n = g*n - 55. Solve -2*l = -n + 3, -5*l + 35 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54618432047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -364 - -364.1004. Round j to three dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -264339 + 2379041\/9. Let r = -6.4 - -6. What is the closest to g in 1, r, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962*d + 20060 = -7750 + 5684 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r - 5*r. Suppose r = c + 7*c - 46400. Round c to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64641.51 litres?\nAnswer: 64641510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 18\/(-10))\/(56\/(-350)). Solve -v*h**2 + 2*h + 1\/4*h**3 - 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 27. Let b(c) = c**2 + c + 1. Determine b(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28796*y + 14436*y + 14360*y + 4*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -21. Let t(d) = d**3 + 8*d**2 + 10*d - 12. Let f be t(-6). Let y(r) = r**3 - r**2 + 7*r + 1. Let p be y(f). Is n less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 1. Let m(g) = 8*g + 5. Let w(t) = -6*f(t) - m(t). Let q be w(-1). Find the common denominator of (156\/(-15))\/(33\/q) and -31\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k - 1959 + 1989 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -69*l**2 - 294*l + 29. Determine g(-4).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2905472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 203 and 348.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13.53 - 13490\nAnswer: -13503.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 48*y - 16*y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19499 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 737 and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -15*k**2 - k + 1. Let a be y(-2). Let c = a + 29. Let w = c - -43. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 3. Let p(i) = -2*i**2 + 5*i - 3. Let n be p(4). Let x be 3\/2 - n\/(-10). Sort r, -2, x in ascending order.\nAnswer: -2, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:15 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1079 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = 5*c - 20, 0 = 4*c - 5*r - 6. Suppose c*t + 4 = 3*w, -5*w - 24 = 5*t + 16. Let y = 0 - w. Solve 15 = 5*u - 2*l, -u - 1 = -3*l - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 + -224. Let f(g) = -g + 17. Let p be f(7). Solve 2*w - p = 4*w + 4*i, -i = z*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1480\/425 + (155\/17 - (-39 + 48)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/4, 2, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 rounded to the nearest ten?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2696, -2496, -2296, -2096, -1896, -1696?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128192972.\nAnswer: 2, 32048243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25395 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -307034 (base 15) to base 10.\nAnswer: -2301799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + z**2 - 5*z - 4. Let u(r) = -4*r**3 - r**2 + 9*r + 7. Give 5*j(q) + 3*u(q).\nAnswer: -2*q**3 + 2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49\/10 - -2\/5. Sort 2\/7, 3, c in decreasing order.\nAnswer: 3, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/4)\/(44\/(-24) + 2). Let g = 25 - p. Solve 0 = 5*u - g*x - 3 + 27, x - 21 = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00144898 rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/2 + 85*o\/6 + 244\/3 = 0. What is o?\nAnswer: -61\/3, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-63)*10\/4*6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 24 = -0*z. Let r(p) = -8*p - 9. Let u be r(z). Let j be u\/(-15) - (1 - 3). What is the smallest value in 3, j, -1\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-162) + (-1520)\/72 - -22) + 7 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1234*u + 1341. Determine c(-1).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 39218*k. Let f(o) = -2*o**2 + 19. Calculate g(f(c)).\nAnswer: -78436*c**2 + 745142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2 + (2 - 1 + 0)*(0 + 1 - 2) + 2 + 3 - 4 + 1 - 4 + 4 + 2 - 5 + 2)*(-4 + 2 - 2)*(2*q - q - 4*q).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -1 (c) 0 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7422 is divided by 182.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1935537126 divided by 6?\nAnswer: -322589521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -202 - -359. Let l = a - 150. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {v: 1, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.86813 to one decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*w**3 - 116 + 47*w - 47*w + 6 - 307 wrt w?\nAnswer: 93*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 388 - 513 - (-7 - 106)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25860.02930901 - 25879.52931. Let x = y - -19.5. What is x rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -92*l - 8919. Calculate t(-97).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onyy when four letters picked without replacement from {n: 1, o: 3, f: 1, q: 4, y: 2, r: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 132*k - 2520 = 0 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22709 = -4866*g - 27781 - 369610 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3*36.2106\nAnswer: 108.6318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 8 = 8*x. Suppose -5*g + 3*f = 77, 5 - x = f. Let a = g - -26. Solve -4*m = 2*k - 3*k - a, -k = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*v - 3595 = 2501 + 450 + 6012 for v.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 167 = -16*w + 15*w, -3*x = -4*w - 130. What is the remainder when 104 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + ((-2530)\/66 - -33))*6\/118\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 144679536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920) - (-6*(sqrt(7920) - sqrt(7920)*1) + sqrt(7920)))\/(sqrt(15)\/(sqrt(48)*-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 648058300 to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14974335\/616 - 24309. What is the common denominator of -85\/616 and a?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52)\/60 + 2\/(-6). Let r = -547 + 8207\/15. What is the nearest to -2 in c, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 28*p**2 - 60*p - 63. What is a(-26)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = 5. Suppose 4*g = 5*w - 434, c*w = -g + 559 - 195. Let q be w\/((-6)\/(-44000)*-2). What is q rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 times -55748371\nAnswer: 117071579.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p - 30. Let r(o) = 5 + 4*o - 9 + p. Suppose 0 = 2*u + 4*t + 12, 3 - 1 = 4*u - 5*t. Give r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 5. Let w(o) = 119*o**2. What is g(w(n))?\nAnswer: -119*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 176*u**3 + u**2 - 37*u + 2. Let c(d) = -d + 1. Let j(a) = 3*c(a) - i(a). What is the second derivative of j(x) wrt x?\nAnswer: -1056*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/11 + 98*a**2\/11 + 96*a\/11.\nAnswer: 2*a*(a + 1)*(a + 48)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or 136?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3423259757.\nAnswer: 17, 201368221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6977\/19908 + 7\/1580. Find the common denominator of -1\/5 and k.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2261*r**2. Let m(d) = -3*d. Calculate x(m(n)).\nAnswer: 20349*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -611, 0 in decreasing order.\nAnswer: 2, 0, -9, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -184, 0.33, 1\/1169?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(-1)*(-126)\/105*85\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3529.97 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 272\/9 + (-2)\/9. Let o = 33 + p. Let d be (-6)\/(-4)*14\/o. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 488160 by 904.\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 93*s - 45538. What is the remainder when (2\/2)\/((-5)\/(-255)) is divided by y(265)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 378.1 + -42.1. Let w = u - 336.00818. What is w rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 9:42 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bblbblblbbl.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -f, 2*j - 3*f + 2 = 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 8*p - 4*n - 29, 0 = -5*p + 5*n - 25. Which is the third smallest value? (a) p (b) 5 (c) 7 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2869*r - 13776 - 12045 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4704\/2240)\/(6\/80))\/6.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, b: 2, e: 8, s: 2}. What is prob of picking 1 b and 2 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -52319, 0.1 in increasing order.\nAnswer: -52319, -14, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 + g - 1. Let f(o) = 248*o**2 - 5*o - 350. Let x(i) = f(i) + 5*z(i). Differentiate x(c) wrt c.\nAnswer: 526*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 + 5*x**2 + 6*x - 8. Let m(s) = 3*s**3 + 4*s**2 + 5*s - 7. Give 6*m(k) - 5*w(k).\nAnswer: 3*k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -15*g**2. Let u(x) be the third derivative of -7*x**5\/60 - 59*x**2. Give u(h(s)).\nAnswer: -1575*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 162*y**2 + 85*y + 13753. Calculate f(-162).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -22608*n**2 - 479*n + 69. Let b be o(-21). What is b rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -288416 + 147047 + 149618 - 8661*r wrt r.\nAnswer: -8661","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5))**(1\/73)*(o**(-2\/9)*o)\/o**(-2))**(1\/29) assuming o is positive.\nAnswer: o**(1780\/19053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 2*t**2 + 5*t - 3. Let g be h(3). Suppose 4*n - 1 = g*n. Let o be (n + 2)\/9*15. Solve 0 = -3*i + 2*k + 16 - 0, -2*i = -o*k - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44698 = 4*g + 2*j, 9*g + 4*j - 44700 = 5*g. List the prime factors of g.\nAnswer: 2, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2682 is divided by 91.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 5\/(-1)) + 2 - 3. Suppose -2*r - 2*k = -49 + 319, g = -3*r - 5*k - 405. Let b = r - -237. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*k**2 + 65*k**2 + 61*k**2)*(-13*k**3 + 1 - 3 - 6*k**3).\nAnswer: -1824*k**5 - 192*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 16*u - 7065. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 35*s. Let a(r) = -r - 1. Let k be a(4). Let f(o) = -1689765 + 35*o + 1689765. Let z(q) = k*m(q) - 4*f(q). Factor z(w).\nAnswer: 5*w*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110202 + 12002210?\nAnswer: 21120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129881\/15 + 8663. Calculate the common denominator of u and -64\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qok when three letters picked without replacement from {p: 2, k: 3, q: 1, l: 3, o: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2377892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 5*t - 47, -b = 47*t - 50*t - 4. Let a(f) = -f**3 + 10*f**2 - 14*f - 16. Give a(b).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 37*p**3 + 1 + 13 in the form r*p + u + f*p**3 + s*p**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvedgzg. Give prob of picking 1 g, 1 d, 1 e, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 851, 1702, 2553, 3404, 4255, 5106?\n\"Answer: 851*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7193 divided by 3993\nAnswer: 7193\/3993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*q**3 - 2\/9*q**2 + 0 + 0*q - 2\/9*q**4.\nAnswer: -2*q**2*(q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783842 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 20 = 5*k + 4*z, -k = 4*z + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*h - 2, -18 = -q + 3*q + 3*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = -5*f + 53298, f = 2*a + 10650. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87\/7 + 89\/7. Factor -6\/7*s**2 - b - 2\/7*s**3 - 6\/7*s.\nAnswer: -2*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 66*a**2 + 2*a - 53. Give s(33).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15346774 (base 8) in base 11?\nAnswer: 1a99272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-60)*5)\/((-18)\/81)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:37 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) -3 (c) 1\/18 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, -3, -52, 2 in decreasing order.\nAnswer: 12, 3, 2, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 33744?\nAnswer: 33744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.14. Let a = 8.96 - n. Let t = -9.022 + a. Round t to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 9*r - 6*r. Is r < 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**4 - 2*d**3 - d**2 + d - 1. Let j(r) = 4*r**4 + 58*r**3 + 226*r**2 + 362*r + 206. Let u(w) = -j(w) + 2*k(w). Factor u(o).\nAnswer: -2*(o + 2)**3*(3*o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/139?\nAnswer: -9\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2309 + 315. Let p = -673 - f. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -270 and -42703.\nAnswer: 11529810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6684556 - -6682868.93804. Let n = v + 1626.063. Let f = n + 61. Round f to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 122 and 0.4680248?\nAnswer: 121.5319752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21098 from 6546.\nAnswer: 27644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326044885 is divided by 2484?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 60967923610 + 298\nAnswer: 60967923908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4087 plus -28893741344?\nAnswer: -28893737257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 74. Let w = n + 51. What is the highest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 12:31 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 1618*j**3\/3 - 2*j**2 + 10*j. Let w be d(-11). What is w rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 173, 187, 217, 269, 349, 463, 617?\n\"Answer: v**3 + 2*v**2 + v + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 5*i - 3*h, -2*h + 3*h = -1. Solve r + i = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41581.\nAnswer: 43, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {k: 12, p: 7}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 10) to base 7\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249607 divided by -1?\nAnswer: -249607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5192368 * 0.5\nAnswer: -2596184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2362580 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 1, -0.135, 10, -28?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2090\/25 - (-2)\/5. Let r be y\/(-294) - (282\/(-7) + 1). Suppose v + 2 + 1 = 0. Sort v, -5, r.\nAnswer: -5, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/64728 and 137\/8352.\nAnswer: 258912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*w + 4*w + 51129. Let a = w + -1652. List the prime factors of a.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1245 - 1632?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Suppose 0 = 2*n - 4 + l. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24788427.\nAnswer: 3, 8262809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348.7 rounded to the nearest ten?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 5*u**2 - 14*u - 7. What is g(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2 - 6599*c + 10638198 = 0. Calculate c.\nAnswer: 2801, 3798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 5*j - 8*j)*(-2493*j**2 + 65*j**3 + 2493*j**2) to w + l*j + i*j**4 + t*j**3 + y*j**2 and give i.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/(-15))\/((-1)\/(-24)))\/(33866\/7257)?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 o when three letters picked without replacement from {r: 2, b: 3, o: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/6 (b) 0.2 (c) 5 (d) 2274 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 - (2 - 3). Suppose 801*m = -3145 + 223 - 1083. Which is the closest to w? (a) m (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(245)*-2) + 2 + -1)**2.\nAnswer: -28*sqrt(5) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1199*l + 4 - 1149*l + 2344*l.\nAnswer: -4*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 212*m - 695 + 271 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 500 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*g + 2*v, g + 0*v + v - 9 = 0. Let s = g - 6. Suppose 0 = -d + p + 145, d + s*d = -p + 580. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1340*m**6 - 345*m**2 + 4*m wrt m.\nAnswer: 160800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - s = n + 206, -n = -3*s - 74. Let a = -3 + n. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/o**(1\/2)*o**(-2)\/((o*o\/o**(-1\/6))\/o) assuming o is positive.\nAnswer: o**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2.197, 0, -4947, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25113*m**2 - 25098*m**2 - 3*m + m + 2*m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:56 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + q, -26 = -3*z + 3*q - 8*q. Let s be 1\/(1236\/246 - 5). Let v = s - 40. Is z less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104340 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -1221, -3224, -6029, -9636?\n\"Answer: -401*g**2 + 2*g + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(4)\/sqrt(2)*3 + 1 + (sqrt(2) - (-1 + sqrt(2))) + sqrt(2).\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -14*y - 6*y + 18*y + 33. Let s be h(14). Suppose 9 = 2*i + s*c, -i + 3*c + 0 = 1. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -4 (c) -1\/3 (d) 8113 (e) 0 (f) 5 (g) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + f**2 + f + 2. Let u(b) = -b**2 + 13*b - 22. Let a be u(11). Let d be o(a). What is the tens digit of 3*(-122)\/(-3) + d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.59*0.07873.\nAnswer: -0.1251807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1885, -1884, -1873, -1846, -1797?\nAnswer: -1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 670280 = -2*l. Suppose -14*u + l = -u. What is u rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 20\/2 - 8095. Which is greater: -2\/7 or x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 6*p**2 - 3*p**2)*(-p**2 - 3*p**2 + 7*p**2)*(-119 + 119 - 29*p).\nAnswer: -174*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2318*g*p**3 + 65*g*p + 35*p**3 + 4873*p + 2 with respect to g.\nAnswer: -2318*p**3 + 65*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -280, -277, -274, -271, -268, -265?\n\"Answer: 3*k - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 227592 divided by -8\nAnswer: -28449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**3 - d**2 - 3*d + 3. Let k be o(2). Let s = -8 + k. Let j(c) = -c**2 - c + 17. Let r be j(0). What is the greatest common factor of r and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*z = -34*z - 177 + 493 + 1196 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 9 (c) 17636\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q + 6. Let z be (-2)\/1*(-51)\/(-34). Let k(a) = -733 - 3*a + 731 - 2*a. Give z*f(t) - 8*k(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*l + 818 = -1463 - 8039. Let w(k) = k. Let y be w(-4). Let g be ((-5)\/y)\/((-6)\/(-96)). What is the highest common factor of l and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1080 = 5*i, 0 = 4*y + 2*i - 555 - 333. Let j be 10\/44 - (-60)\/y. Factor j*u + 1\/4*u**2 + 1\/4.\nAnswer: (u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 34*s**2 - 16*s - 52. What is the units digit of i(37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 - -208. Calculate the highest common factor of k and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21 and 6\/36 + (-13)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*l = -5617 - 2579, -2*i - 5*l = -4114. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55613084, 111226167, 166839250?\nAnswer: 222452333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26841 and 4608993.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b - -82194a2?\nAnswer: 8219453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**3 - 274*y**2 + 142*y - 8. Calculate the remainder when w(68) is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420 a factor of 21510296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*w + 1988 + 3819 = -857 - 3128 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 28, 63, 120, 205, 324, 483?\n\"Answer: z**3 + 2*z**2 + 6*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnlg when four letters picked without replacement from {l: 3, h: 5, v: 2, g: 5, n: 5}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0 + 1\/120*x**5 + 1\/480*x**6 + 2*x**2 + 0*x**3 + 0*x + 1\/96*x**4. Factor m(d).\nAnswer: d*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (534\/88 + -2). Let p = y + 31\/132. Which is the biggest value? (a) -1\/10 (b) -0.03 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 - (-47)\/(-9). Let o be -2 - j\/(10\/(-44)). Let p = 38 + o. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3478572.8 times -1\nAnswer: -3478572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 126, 268, 424, 600, 802?\n\"Answer: m**3 + m**2 + 132*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 60. Let k = 22 - 16. Let r = 12 + k. What is the lowest common multiple of p and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000303815 rounded to 7 dps?\nAnswer: 0.0000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 19. Suppose 7*z + 2 = 16. Solve -z*r = r + d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 914659654 and 382.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**5\/60 - w**4\/12 - w**3\/3 - 41*w**2. Let o(f) = -3*f**2 + 9*f + 9. Give -18*l(k) - 4*o(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427590873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 146, 191, 224, 245, 254, 251?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91299*f**3*v - 3*f**2*v + 5*f*v + 35187*f + v wrt f?\nAnswer: -547794*f*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j + 2. Suppose 2*g + 6 = 0, -2*o = -5*o + g. Let z(v) = v. Determine o*a(p) + 6*z(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 + 229*c - 74. Calculate the remainder when d(-47) is divided by 56.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -6. Let d = s - 12. List the prime factors of d + 2 + 2 + 7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 308 - 304. Suppose -r*t + 2*f + 2*f = -4, 5*t + 4*f - 14 = 0. Solve -t + 0 = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(32) + (sqrt(2) - ((sqrt(2) + sqrt(8)\/sqrt(4))*-5)**2).\nAnswer: -200 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -245854 divided by 7231?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighths of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 4*k**2 + 11*k - 4. What is the first derivative of s(z) wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 220.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 - (-3)\/63. Let o = -9 - -13. Let v = -5 + o. What is the nearest to v in 5, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -297, -335, -381, -441, -521?\n\"Answer: -j**3 + 2*j**2 - 37*j - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 6*u - 49, -u + 15 - 13 = -0*b + 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + -3 + (4 + sqrt(99)*2*-3 + sqrt(99) - (-2*-2*sqrt(99) - (-4 + sqrt(99) + -1))).\nAnswer: -24*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - -2 - (-1 - -7). Let l(b) be the first derivative of b**2\/2 + 9*b + 1. Let q be l(c). Solve 2*o + 9 = -o - 3*f, 0 = -2*f - q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(0*z - 2*z + 0*z) + 1022 + 136*z - 1022.\nAnswer: 140*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17448*l**2 - 23073*l**3 + 23072*l**3 + 17447*l**2 + 17450*l**2 - 52345*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2838, 2841, 2848, 2859, 2874, 2893, 2916?\n\"Answer: 2*w**2 - 3*w + 2839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-1)\/(-2)*-2. Let x be 4*(n + -4 + 1). Put -4, x, -5 in descending order.\nAnswer: -4, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - o + (2*o - 5*o + o)*(-3 + 5 - 4) - 2905*o - 676*o + 753 - 1505 + 752 to k + z*o and give z.\nAnswer: -3578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -2 + (807 - 776)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-6)\/240*-16*10\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4) + -1 - 243\/(-54).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1136648 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 184 + 213 = 4*y, 0 = -4*y - 3*i - 39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1303 and 627.\nAnswer: 816981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1627 or 0.023?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 6:42 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3152 is divided by 157?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 3*b + 2. Let t be g(4). Let m be 2\/(-10) + t\/(-10). Solve -2*w - 2 = -d, -d - 6 = -2*w + m*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -443\/48, 29, -0.01 in ascending order.\nAnswer: -443\/48, -0.01, 29","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5322273*c**4 - 31850*c - 23?\nAnswer: -63867276*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 + (-36 - 0 - (-216 - -192) - (4 + -1)).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3585 divided by -717.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*p**2 - 1 + (8*p + 7*p - 4*p)*(-30*p + 20*p - 15*p).\nAnswer: -277*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 140bdc1?\nAnswer: 140bdbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let u(z) be the third derivative of z**4\/12 + z**2. Calculate u(n(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f + 2. Let s(u) = 11*u**2 - 2*u + 1. What is the least common multiple of s(f) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15*c = 0. Solve 5 = -g - c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/384*1*8*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = -49. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 30*g**2 - 160 + 160 - 4*g**2. Let b(s) = 2*s + 14. What is b(n(m))?\nAnswer: 52*m**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/12 - -2)*3. Let c be (o - 0) + (-1 - 15\/(-3)). Factor -1 - 81\/4*k**c + 9*k.\nAnswer: -(9*k - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 - 756330*w - 143008767225 = 0. What is w?\nAnswer: -378165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -805 and -1933210?\nAnswer: 1932405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1954*c**4 - 846*c wrt c?\nAnswer: 23448*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5977.825 grams in kilograms?\nAnswer: 5.977825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7708 - 7707.5. Let n = -1 - 0.4. Which is the second biggest value? (a) v (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 365459.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(1\/32)*b\/(b\/(b*b**(-7))) assuming b is positive.\nAnswer: b**(-127\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 100 + 20 = 0. Suppose m - 4*k - q = 4*m, -5*m = 2*k + 50. Let l = 4 - m. What is the greatest common factor of l and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = 0. Suppose -27*p + 28*p = 5. Suppose p*c = l + 29, -2*c - 4*l + l = -15. Solve -3*o + c*x - x + 6 = k, -4*o - 2*x + 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w - 39*w**2 + 74*w**2 - 42*w**2 as c + t*w**2 + z*w and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -238*s + 822*s - 8760 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 620754*t**2 - 3707*t. Let q(k) = 335*k**2 - 2*k. What is 6*l(i) - 11121*q(i)?\nAnswer: -1011*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4e (base 16) to base 13\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - (-20 - -23)) + 28?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -5\/8*s**4 + 0*s + 14*s**2 + 5\/3*s**3 + 0. What is the first derivative of f(t) wrt t?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-24))\/3*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmsmmompiimmsmsfmmim. What is prob of picking 1 m, 1 s, and 1 f?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/5 + 9*j**2\/5 + 11*j\/5 - 21\/5 = 0.\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-2 - (-31 - -13))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1801791.2422 and -0.7?\nAnswer: 1801791.9422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 25166795*g + 88. Let m be n(-2). Let r = m - -159833502. What is r rounded to the nearest one million?\nAnswer: 110000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(704)) + sqrt(704) + (-1*sqrt(704) - sqrt(704))*4)**2*-6 - (-1 + (2*sqrt(704)*6)**2 + 2).\nAnswer: -118423 - 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060246 less than -757?\nAnswer: -2061003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -6. Let j = -5 - -8. Let v = j + -8. Which is the closest to m? (a) 1 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + u**2 + u + 1. Let x be t(0). Let r = 17.3 + -18. Let q = r - -1. Which is the closest to x? (a) q (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.54589969 to zero decimal places.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from jjjjlllljil?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/8 and -11\/482967?\nAnswer: 3863736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 26*q**2. Let o(i) be the third derivative of -i**5\/30 + 51*i**2. Give o(j(t)).\nAnswer: -1352*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15190*m**3 - 3257*m**2 wrt m.\nAnswer: 91140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1564584.04 to the nearest ten thousand.\nAnswer: 1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -20049, -4, -5, -22 in descending order.\nAnswer: -4, -5, -22, -20049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.128 and 24.\nAnswer: 24.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-60) + 9\/24*(-42)\/(-63).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/5 - 2232*v**3\/5 - 620492*v**2\/5 + 1247688*v\/5 - 624962\/5.\nAnswer: -2*(v - 1)**2*(v + 559)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 798.0512 centuries?\nAnswer: 957661.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 + 192.21. What is l rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1491 = 5*d, -5*s - 279 - 300 = -2*d. Calculate the remainder when d is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45368362.\nAnswer: 2, 13, 233, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 816 (base 14) to base 8\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 178660943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -6*w**2 - 21*w + 27\/20*w**5 + 11\/4*w**4 - 8*w**3 + 0. Factor k(u).\nAnswer: 3*(u - 1)*(u + 2)*(9*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 54 + (-10 - (0 + 1 + 10 - (-238 - -252)))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 623, 9 in descending order.\nAnswer: 623, 9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t + 55*t - 6118 = 0. What is the highest common factor of 112 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -49 + 17 + 170\/14.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)\/k)**(-27))**(-1\/14) assuming k is positive.\nAnswer: k**(-135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -34*c**3 + 238*c**2 + 2*c - 3. Let b(m) = -34*m**3 + 357*m**2 + 3*m - 4. Let s(a) = 2*b(a) - 3*n(a). Let v = 1 + -2. Determine s(v).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.06, 0.622, 23, 4, 1\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*w**2 - 19*w**2 - 3 + 1 as h + m*w + n*w**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**6)\/o*o*o**2*(o\/(o**0\/o)*o*o)**(-18\/13) assuming o is positive.\nAnswer: o**(-111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -6. Let f be 0*((-20)\/150 + 19\/(-95)). Which is the closest to f? (a) 6\/41 (b) 0 (c) w (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 minus 1631?\nAnswer: -1630.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 183 = 1. Let c = 34 + h. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4.\nAnswer: -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -23, -40?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - -3) - -5 - (-2 + 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d + 3. Let m be l(0). Let x(b) be the first derivative of 4\/5*b**5 + 0*b**2 + 0*b**3 + b + m + 0*b**4. Differentiate x(j) with respect to j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-2)*(3 + 1082). Let x be (-2)\/11 - c\/(-77). Suppose 4*r - 2*m = 3*m + 46, -4*m + x = 4*r. Calculate the smallest common multiple of 1 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/4 - 922*o**2 - 27885*o = 0. Calculate o.\nAnswer: -30, 0, 3718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60528 = 4*b - 4*x, -x + 45404 = -3*b - 6*x. Let y = b - -95821\/6. Let w = -834 + y. Find the common denominator of w and -67\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 260.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 7*i + i + 2)*(-i - 2 + 2).\nAnswer: -2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561141.9 millilitres to litres.\nAnswer: 561.1419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3 = -5*i. Suppose -i*w - 9 + 0 = 0. What is the tens digit of 69*(w + (-10)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.5 (b) 0 (c) -0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25944 + -285372\/11. Factor l*i + 16\/11 + 2\/11*i**2.\nAnswer: 2*(i + 2)*(i + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let w(n) = -7*n + 1. Let l be w(-11). Let j = l - 111. Let b = 49 + j. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*t + 2 + 6 = 0, -2*i = -2*t + 8. Let l be i\/(-10) + (-114)\/(-15). What is the highest common divisor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2033020125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - 0.24. Let s = 371.4 + -371. What is the nearest to 0 in -0.1, x, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.9, 56, 6, -3, 0.06, -76 in increasing order.\nAnswer: -76, -3, 0.06, 2.9, 6, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.04 (b) 0.657 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2530 and 5514190?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**4\/6 - 11*h**3\/6 + 2*h**2. Is y(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-4 - 3 + 1)*(3*k + 0*k - 4*k)*(k**3 - k**3 - 3*k**3).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*u**3 - 1122*u - 400*u**3 + 525*u + 597*u.\nAnswer: -854*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 - (50 + -36).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 417567 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 31*z**2 - 83*z + 462. What is the thousands digit of n(46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8191081 + 12\nAnswer: 8191093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 567.7259 meters?\nAnswer: 567725.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 72*r**2 - 76*r.\nAnswer: 4*r*(r - 19)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 1.2.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19353 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t*y**2 + 9559045*t*y - 11864420*y**2 wrt t?\nAnswer: y**2 + 9559045*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 + 446 = -d + 11*d. Solve -h = -5*a - 30, 4*a - d*h + 91*h = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188805 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n. Suppose 819*l + 10 = 824*l. Let r(z) = -2*z**3 + z**2 + z. Let t be r(-1). Let w(v) = 3*v**l + v**2 - 5*v**t. Give x(w(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.94 - -0.3.\nAnswer: 50.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4\/5, 2\/13, 1 in decreasing order.\nAnswer: 1, 4\/5, 2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 6}. What is prob of picking 1 j and 1 t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Let r(v) = -v + v**2 + 7*v**3 + 1 - v**s. Is r(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let o(f) = -f**2 + 5*f + 8. Let q be o(6). Let b(r) = 0*r**2 + 3*r**2 - q*r**2 - 3 + 5 + 3*r. Let w be b(-2). Calculate p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 1.28 (c) -2.6 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 744 = -4*b. Suppose 3*w = -4*c - b, -3*c + 124 = -0*w - 4*w. Let o = w + 87. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-5*(sqrt(65) - sqrt(65)*1) + (1*sqrt(65)*6 + sqrt(65) - sqrt(65))))\/((-1*sqrt(1280) - sqrt(1280))\/(sqrt(12)\/sqrt(3)*-5)))**2.\nAnswer: 2925\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 951926, 951925, 951924, 951923, 951922, 951921?\nAnswer: 951920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 + j - 7. Let d(m) = 3*m**2 + m + 8. Let b(g) = -11*g**2 - 5*g - 32. Let c(q) = 2*b(q) + 9*d(q). What is -6*c(w) - 7*h(w)?\nAnswer: -2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 13. Let h be d(-4). Suppose 0 = 4*m - r - 138, -m = -0*r + h*r - 45. Let t = m - -2. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Let d(i) = -i. Let c(l) = 2*d(l) + 2*u(l). Let s(f) = -f**2 - 2. Let z(n) = 6*n**2 + 13. Let g(k) = 39*s(k) + 6*z(k). Determine g(c(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 163*a + 1674. Let s be j(-11). Solve 3*z = -2*z + 4*g + 25, -s*g = -3*z + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*g + 96, -12 = -g - q + 20. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27474 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1262*t. Let s(d) = 64*d. Calculate z(s(o)).\nAnswer: -80768*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and 0.2.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuk when three letters picked without replacement from {u: 10, k: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6336 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311 divided by 311.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26666 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62027 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 less than -0.052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k + 5*k - k - 4*k - 3. Suppose -3*v = 3*g + 18, -6*v + 3*v - g = 16. Let n(l) = -9*l + 6. Let x(t) = v*s(t) - 2*n(t). Give x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/10 + (462 - -11). Suppose 0 = -3*k + 2*k + 25. Suppose -20*r - q = -k*r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n + 5 + 9. Let z = n - -12. Suppose 4*a + 0*w - 4*w = 16, -2*a + 5*w + 20 = 0. Sort a, 2, z in increasing order.\nAnswer: a, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 = -19. Let t(o) = -4*o + 254. Let s be t(60). What is the highest common factor of k and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 14) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 10. Let q be s(-7). Suppose -q*r = -8, 3*g + 0*r = -r + 563. What is the highest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94335*h**4 + 20*h**2 - 94332*h**4 + 57*h - 21*h**2 to the form y*h + t*h**2 + s*h**4 + l*h**3 + k and give y.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s)\/s)**(-3\/2)*s\/(s\/(s**(-1\/9)*s*s))*((s*s*(s*s*s\/s**4)\/s)\/s)\/s*s assuming s is positive.\nAnswer: s**(43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -937 + 937 + w. Let k(s) be the third derivative of 31\/30*s**5 + 0*s**4 + 0 + 0*s**3 - 4*s**2 + s. Calculate k(b(p)).\nAnswer: 62*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469133, -938290, -1407447, -1876604, -2345761, -2814918?\nAnswer: -3284075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 1. Let d(u) = 2*u - 1. Let m(i) = 5*d(i) + 5*p(i). Let k(s) = -2*s**2. Determine k(m(w)).\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7))**(-7\/5))**(-1\/7) assuming v is positive.\nAnswer: v**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 176416768631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/120 - s**5\/60 + 503*s**4\/3 - 358*s**3\/3 - 4105*s**2. Find the first derivative of x(b) wrt b.\nAnswer: -3*b**2 - 2*b + 4024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492753.707 + -1.\nAnswer: 492752.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - l + 5 = 0, 39*c - 5*l - 45 = 43*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12499 + -12395. Let z = 74 - 53. Calculate the remainder when k is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u + 2456 = 4*r, 4*u = -3*r + 1853. List the prime factors of r.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -802 = -803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9099201 - -12799201. Round t to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*i**2 - 27*i - i**3 - 15*i - 3*i + 15*i - 2*i in the form u*i**3 + m*i + k + a*i**2 and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21*(2 - 15\/9). Let r(c) = 6*c - 2 - 2 + 0 - 3. Let w(s) = -3*s + 4. What is m*w(u) + 4*r(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 64. Let t = h - 29. Which is the third biggest value? (a) 1\/2 (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2974*d**2 - 6310*d**2 + 3279*d**2.\nAnswer: -57*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -433 + 175. Suppose -3*a = 5*k - 94, -4*k + 3*k = 3*a - p. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20083.42418 and 0.1.\nAnswer: 20083.52418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4456\/12 + -1*(-3)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111518, -220548, -329578?\nAnswer: -438608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*i + 35*i - i**2 + 34 - 72*i to the form q + v*i**2 + n*i and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + v + 23, 0*k - k = 3*v + 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -73\nAnswer: -47\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + 5*f + 22, -4*k + 5*f = -26. Solve -5*z + 6*z = 2*j - 1, k*z - 4*j = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39245866 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020129036 to 5 decimal places.\nAnswer: 0.02013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 5*r + 8. Let h be w(-6). Let s be (h + -3)*(-1 + 1). Suppose 55 = 4*u - 3*f, u + 2*f = -s*f + 22. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 105752?\nAnswer: -105752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -u + 3*m + 5, -m = -2*u. Sort -4, u, 4.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1234 or 1240?\nAnswer: 1234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 21\/21 + -1 + 1634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-7 + -3 + 6). Solve 2*g = 2*h + 2, v*g - h - 2*h = -1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 14*v - 27 = 5*o, 4*v + 4*o - 36 = 0. What is the least common multiple of v and 500?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 3 (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -847, -1693, -2539, -3385, -4231, -5077?\nAnswer: -5923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i + 12. Let y be x(-1). Solve 2 = y*p - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 89 (b) 0 (c) -4 (d) -0.08 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2266.2612 months?\nAnswer: 0.1888551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 39*s + 456. Let t be y(0). What is the third biggest value in 11, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6459715103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 37*y**3 - 38*y**3 + y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*o**2 + 10807*o - 11549*o - 17690*o - 22493*o + 2.\nAnswer: -89*o**2 - 40925*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -221524.\nAnswer: -221524.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -3*y + 2*h, -45*h + 59 = 5*h + 9 - 50 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 - 7*n**2 + 4*n - 1. What is z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u + 40. What is q(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = x + 54. Solve 0 = -13*i + 10*i - x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1065, 1063, 1061?\n\"Answer: -2*f + 1067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 104324?\nAnswer: -104323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 50*w - 30*w. Factor 1\/4*t**5 + t**w + 1\/4*t + 3\/2*t**3 + 0 + t**4.\nAnswer: t*(t + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f - 22. Let b(j) = 70*j - 229*j + 70*j + 87*j - 1. Let k(y) = 10*y + 4. What is f*b(h) - 2*k(h)?\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*g - 64776694*d + 64776691*d - 209, -5*g + 3*d = 47 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + -221.\nAnswer: -221.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 171 = -4*y. Suppose -4*l + 0*l + 180 = 0. Does 14 divide 5\/(l\/y)*9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b + 231. What is c(-22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13342588 divided by 28\nAnswer: -476521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*l + 21010 - 13088 = 0 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 793*i**3 - 2*i**2 - 3*i - 1. Is r(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c**3 + 0*c)*(-3*c - 2*c + 7*c)*(109 + 92 - 234).\nAnswer: -132*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9356 (base 11) in base 13?\nAnswer: -5851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -10*g - 90. Let t(c) = c + 13. Give t(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 10 + 24 + 21*j + 9 - 11.\nAnswer: 21*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-8 + -13 - -15) - 23.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, d: 1, b: 1, e: 5}. What is prob of picking 1 d and 1 e?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 964*h**3 + 677*h**2 + 3*h - 15. Let m(u) = 8676*u**3 + 6092*u**2 + 28*u - 140. Let r(j) = -6*m(j) + 56*y(j). Find the third derivative of r(d) wrt d.\nAnswer: 11568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 10*a**2 - 8*a**3 - 10*a**3 - 10*a**2.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -7. Let t = -4.7 + -1.5. Let q = d + t. What is the third biggest value in -4\/3, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -37\/5 (b) -15155 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3648.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a + 1. Let p(n) = 30*n**4 + 6*n**3 - 7*n**2 + 6*n - 6. Let l(z) = 6*h(z) + p(z). What is the third derivative of l(d) wrt d?\nAnswer: 720*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3256*n**3*o*q**2*v + 4*n**3*o*q*v**2 + 2*n**3*o*q + 5*n**2*o*v**3 - 3*n**2*v**3 + n*o*q**2*v**3 + n wrt q.\nAnswer: -6512*n**3*o*v + 2*n*o*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 29*z**4\/24 + 19*z**3\/6 - 15*z**2. Let o be q(-5). Let c = o - -497. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11548571.\nAnswer: 11548571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -3*v**2\/2 + v + 52. Let f(g) = g - 1. What is 5*f(k) + 2*m(k)?\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 23 + 142*z + 71 - 27.\nAnswer: 142*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.29, -5, -3, 2?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-240)\/(-7) - (-12)\/(-42). What is the greatest common divisor of 51 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 190 + -206. Let t = 11 + n. Let f = 10.5 + 2.5. Which is the fourth biggest value? (a) f (b) 0.4 (c) -3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1871 in 2\/5, 0.1, 3, 0.2, 239?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12300197*m**2 - 13320807 wrt m?\nAnswer: 24600394*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 917861482 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1992 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtddddtt. Give prob of sequence ddtd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -88387 not equal to -88387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(114) - (sqrt(114) - (sqrt(114) + sqrt(114)*-2*6 + sqrt(114)))) + sqrt(114)*-2*-4)\/((sqrt(420)\/(sqrt(21)\/sqrt(3)))\/sqrt(10)).\nAnswer: -2*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*l - 494*l - 481*l + 24543 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.72646443 rounded to three decimal places?\nAnswer: -8.726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55\/18 or 178?\nAnswer: 55\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 49 - 3*t)*(6*t**2 - t**2 - t**2)*((0 - 2 + 4)*(0 - 2*t + 0) - 3*t + 6 - 6) - 4*t**4 + 4*t**4 - t**4 + 4*t**4 - t**4 - 5*t**4.\nAnswer: 81*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.135 less than 62813138?\nAnswer: 62813143.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10*9\/(-6). Let a be (0 + (-2)\/(-5))*3895\/5453. What is the third biggest value in -0.5, a, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccfccbbfbbcc. What is prob of picking 1 f and 2 c?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**2 + 15369 - 7681 - 7686 - 74*n**2.\nAnswer: -102*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -16 (c) 0.06 (d) 15106\/3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 15 + 10. Suppose -z*l + 68 = -22. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from {t: 6, v: 2, e: 11}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 7*s**2 - s + 3. Let g be m(7). Let n = 19 + -18.9. Which is the closest to 2? (a) 5 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/73? (a) -35 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 24*v**2 - 127*v + 166. Determine m(-14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/9 - 334*v\/3 - 6660 = 0.\nAnswer: -54, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139.945 - 2957.\nAnswer: -2817.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 40. Is 332 - (1 - -3) - n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-12))\/(1\/(-3)). Let r be (-3)\/((-3)\/12 - i). What are the prime factors of (-4)\/((r\/(-11))\/(20\/(-2)))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 2. Let d be f(3). Let w be ((-24)\/(-4) - 2)*1. Solve -d*r = -3*r + w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 75823.89 hours?\nAnswer: 272966004000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 6)\/(3\/2). Let h = 1 + l. Solve a + 2*a - h = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1762, -3557, -5350, -7141?\nAnswer: -8930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*-5)\/(4*sqrt(45))*1.\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -14, -56, -136, -266, -458, -724?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228460 and 780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7444*g - 148890. Calculate n(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1791 and 15144099.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248412 and 2418588?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18*t**3 - 5*t**2 - 44. Let k(o) = 19*o**3 - 4*o**2 - 43. Let p(l) = 5*k(l) - 4*r(l). Differentiate p(c) with respect to c.\nAnswer: 69*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 213.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -249\/5 - -50. Let h = 1\/250 + -13\/125. Which is the closest to -0.5? (a) 1\/9 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -390*t + 9. Let m(q) = -1. Give -6*m(b) - s(b).\nAnswer: 390*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s - 16*s + s + (2 + 3 - 3)*(-2 + 2*s + 2) - 2*s + s + 6*s + 0*s - 2 + 3 + s in the form u + x*s and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24619471 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 665?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 569\/539 + -270\/49. Is f equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136591090 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*x + 978 = 0, -3*b - 2*b + 2*x = -1615. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -4 (c) -0.1 (d) -0.019 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**6\/144 + z**5\/30 + 5*z**4\/12 + 4*z. Let a(i) be the third derivative of w(i). What is the first derivative of a(f) wrt f?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(sqrt(1872)*-2 + sqrt(1872)) - -6*(-1 + sqrt(1872))*3.\nAnswer: -17 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 825400\nAnswer: 3\/825400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v. Let k(x) = x - 41. Give k(z(m)).\nAnswer: 8*m - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 - 144 + 13*a + 140 to the form h + c*a and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n + 8. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, -1\/4, 0.13, -15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**4\/6 - 3*n**3\/2 + n**2 + 92*n. Let m(z) = -8*z + 21. Let l(d) = 9*a(d) + 4*m(d). Determine l(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 - 11285*x**4 - 9435090*x**3 - 3473237610*x**2 - 476918215065*x - 473454401265 = 0. What is x?\nAnswer: -753, -501, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + -5 + (-327522)\/(-40 - -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105341835 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: Let w be (1 + -4)\/((-12)\/68). Suppose -3*z - 2*z + w = -n, -n = 2. Find the second derivative of -340 - z*u + 340 + 9*u**2 wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*h - 92*h - 1505 = 0. Suppose 0 = -18*d + 11*d + h. Calculate the greatest common factor of 129 and d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2891?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmzhmmhzummuum. What is prob of sequence hmuh?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8109215 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*d**5 - 46*d**4 - 2*d**3 - 16*d**2 + 7*d - 3?\nAnswer: -1440*d**2 - 1104*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5796\/1771)\/(((-170)\/165)\/17)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 85*c - 617. What is g(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 224*c*h**5 + 5*c*h**3 + 21*c*h + 2*c + 20*h**3 + 2*h + 1190 wrt h?\nAnswer: 4480*c*h**3 + 30*c*h + 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppu. Give prob of sequence uu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhh when three letters picked without replacement from {h: 7, j: 4}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.285856 times 5?\nAnswer: 1.42928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*k + a*k*q**2 + 21*a*q**2 + 5*a + 6*k*q**2 + 2*k + 21*q**2 with respect to a.\nAnswer: -2*a*k + k*q**2 + 21*q**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 36 = -30*j. Let d(i) = 9*i - 4. Let g be d(j). Solve -2*f + 5*f = -o + 13, 2*o = g*f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 18*k**2 + 1. Let t be l(1). Let y(n) be the first derivative of -n**4\/4 + 3*n**3 - 9*n**2\/2 + 11*n + 6. Let z be y(8). Solve t = -4*i + z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/(m\/m**(-1))))**21\/(m**(-6)*m**(-7\/4)))**14)**(3\/37) assuming m is positive.\nAnswer: m**(5943\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(7)*2 + 1)*-5 - (sqrt(112) + 1*sqrt(112) + sqrt(112) + sqrt(112) + 2 - sqrt(112)))**2*-6.\nAnswer: -41244 - 3696*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15291*j + 42797 - 295836 = -8383 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -871ea9 (base 15) in base 8?\nAnswer: -30432333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6486030?\nAnswer: 2, 3, 5, 19, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/(-387) + 29\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.74296 to one dp.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2049063, -2049039, -2049017, -2048997, -2048979, -2048963?\n\"Answer: -h**2 + 27*h - 2049089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 0, -11, 6\/7, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -5 + -18 - -27) + -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 6*y**2 + y - 3. Let x be i(-3). Let v = -190\/9 + x. Let p(s) = 4*s - 174. Let l be p(45). What is the third biggest value in -3\/8, l, v?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23353 (b) -1\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*i**3*o**3*z + 52*i**3 - 6*i**2*o**3 - 3*i**2*o - 37*i*o**3 - 11637*o**3*z with respect to z.\nAnswer: 48*i**3*o**3 - 11637*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2364 + -2361. Which is the biggest value? (a) -0.2 (b) 1 (c) j (d) 9.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2970 and -181\/427410.\nAnswer: 4701510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 443 + -248. Suppose -5*b + l + y = 6*l, -3*l - 135 = -3*b. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 18*c + 26. Let o(s) = s**2 + s - 7. Let r be o(-6). Let n be i(r). Is -89 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1022 = 5*d + 568. Let p = 675 + d. List the prime factors of p.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -161*w. Let r(c) = 2184*c. Determine r(d(a)).\nAnswer: -351624*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8888 divided by -4444\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2571 + -10528.\nAnswer: -7957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2537 (base 11) to base 3\nAnswer: -11112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 14*s - 32. Let g = -94 + 91. Let f be z(g). Let p(y) = -8*y**3 - 6. Let t(d) = -3 + 0*d**3 - d**3 + 2. Determine f*p(x) - 6*t(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j**3 + 0*j + 2\/105*j**7 + 0*j**5 + 35*j**2 - 1\/10*j**6 + 0 + 2\/3*j**4. Solve v(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/45)*v**(-8)*v assuming v is positive.\nAnswer: v**(-317\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4632?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-4)\/5)\/((-16)\/(-40)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 48*j + 48. Let d(m) = -3*m - 3. Let i(a) = 33*d(a) + 2*h(a). Let p be i(-2). Suppose p*y - 108 = y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -567 + 575. Let o = 2 + 6. What is the highest common divisor of o and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 z when four letters picked without replacement from zzzggrz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + -2120403?\nAnswer: -2121034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from qqeeeeeqpqjaxq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 22326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4 and -35\/179?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -130, -498, -1112, -1972, -3078, -4430?\n\"Answer: -123*h**2 + h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1553440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.78950267 to two dps.\nAnswer: 76.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 7*i**2 - 6*i**2 + 9*i**2 + 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*x = 26, 3*s + x = -x - 26. Let z be (0 + 1\/s)*4. What is the third smallest value in z, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*b = -4, 16*w + b + 8 = 20*w. Let g = 9 + -1. Factor -6*d - 6*d**2 - 6*d**3 - w*d**4 - 4*d + g + 9*d**3 + 7*d**3.\nAnswer: -2*(d - 4)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*-2024.885\nAnswer: -384.72815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/11)\/1*99\/(-18)*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/80 - (-12)\/30.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)\/(sqrt(48)\/sqrt(100)))**2 - ((3 + sqrt(700))**2 + -2 + sqrt(700) + sqrt(700))) + 1 + 1)*4.\nAnswer: -2120 - 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(t - 3*t + 3*t) - 3*t + 5*t - 4*t + 3*t - 2*t - 4*t - 3*t + 3*t - 2*t + (0 + 1 - 2)*(-1 + t + 1) to m + f*t and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.6518 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109121.\nAnswer: 109121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 2:53 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 42*h + 27. Let q(l) = 6*l + 4. Let g(n) = 27*q(n) - 4*x(n). Let m(f) = -11*f. Give 5*g(k) - 3*m(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 7afb?\nAnswer: -7aef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090901356.\nAnswer: 2, 14561, 35899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10))\/((-3)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 175, 207, 241, 277, 315?\n\"Answer: o**2 + 29*o + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 390\/563 (c) -0.4 (d) -0.6 (e) 17 (f) -3 (g) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 406.914976 - 18.1427.\nAnswer: 388.772276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2. Let m(n) = -782031*n. Give c(m(z)).\nAnswer: 1223144969922*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 7*l**2 - 17*l + 16. Give u(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.3931l in millilitres?\nAnswer: 18393.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175 - -131 - -29) + (-1 - (-44 - 1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1631 - 384454.766?\nAnswer: -386085.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*f + 31, -9*h + 11*h + 4*f - 2 = 0. Suppose -h*m + 60 = 4*n - m, -4*n + 33 = -5*m. Solve n = 3*b, -3*a - 23 = -2*b - 0*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5717 + 24004?\nAnswer: 31723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -320, -476, -632, -788?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 o when three letters picked without replacement from {t: 1, o: 2, c: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 17, -3939 in ascending order.\nAnswer: -3939, -5, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -4, -723, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fddfffffffd. What is prob of sequence fdf?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**6\/24 + q**5\/60 + q**4\/24 + 2*q**2 + 4*q. Let t be f(-1). Solve 2*y - 2*z + 14 = 0, z = t*y - z + 26 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 20, -1\/414, 0.2?\nAnswer: -1\/414","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - f**3 + 436*f**2 + 436*f**2 - 875*f**2 + 233*f to n*f**3 + y*f**2 + c + w*f and give w.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 8. Let r be u(5). Let h = -2 + r. Let b(g) = g + 2. Calculate the smallest common multiple of h and b(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2087 (b) -2\/13 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46.9 + -50. Let y = -0.9 + t. Which is the smallest value? (a) -0.6 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-187) + ((-1)\/6)\/(119\/5397)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-6)*19\/(-4)*2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 180.1 - 180. Which is the closest to 1\/4? (a) -2 (b) s (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (64\/(-3) - -4)\/(1\/(-108))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**6 + 2903*j**5 + 7*j**4 - 14677*j**2 - 2*j.\nAnswer: 360*j**3 + 174180*j**2 + 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 28*i.\nAnswer: i*(i + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddjdddddddddjddddjd. Give prob of sequence jd.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**5\/10 - 3*f**3\/2 + 6*f**2. Let v(k) = -3*k**2 - 4. Let s(a) = -9*v(a) + 4*x(a). Let i(y) = 6*y**2. Determine i(s(d)).\nAnswer: 54*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28509801 divided by -3.\nAnswer: -9503267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -209679*a*p + 4*p + 1717 wrt a?\nAnswer: -209679*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 2632404*u**3 - 7897188*u**2 + 7897180*u - 2632392.\nAnswer: -4*(u - 658098)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1. Let s(n) = n + 11. Let b(g) = -5*k(g) + s(g). Let w be b(-3). Let q be 2\/((-1 + w)\/80). Calculate the highest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = 0, -4*x - 160 = -q - 186. Solve 5 = -4*c + x*c + 5*z, 3*c - 5*z = 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*q**2 + 137945228*q - 39412920 = 0. Calculate q.\nAnswer: 2\/7, 4926615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*t + 2*z, -4*t - z + 14 = 4*z. Find the common denominator of (t\/(-1))\/((-21)\/174) and 17\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*j + 54 = -9*j, -3*j - 28 = 2*x. Let f = x - -15. Calculate the remainder when (f + -3)\/((-3)\/(-123)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 931 and -4.\nAnswer: -3724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690920.\nAnswer: 2, 3, 5, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 385, 767, 1147, 1525, 1901, 2275?\n\"Answer: -m**2 + 385*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -0.5, 92, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 637 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1089))\/(sqrt(75)*-1).\nAnswer: -44*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + r**2 + 3*r. Let l(u) = -10*u**2 + 198542 - 198542. What is x(l(k))?\nAnswer: 100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13116550 + 11?\nAnswer: -13116536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*y - 5, -8*p = -y - 2*y - 40 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96872 is divided by 4157.\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 113, 235, 387, 563, 757, 963, 1175?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*s - 90. Let c be 1\/2 - (s\/2)\/(-5). Is 0 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4238293 divided by -167.\nAnswer: 25379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.3, -173 in descending order.\nAnswer: -0.3, -7, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1 + 1 - 5*d - 4 + 4 + d**2. Let c(g) = 2*g**2 - 9*g + 4. Give 3*c(i) - 5*x(i).\nAnswer: i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 7*m**5\/60 + 19*m**4\/6 + 2*m**2 + 50. What is the second derivative of z(k) wrt k?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*k**3 + 9*k + 1628*k**2 - 1628*k**2 wrt k.\nAnswer: 210*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-46034697.\nAnswer: -46034697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3568 divided by -25.\nAnswer: -3568\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 5166*w**2 - 5168*w**2 + 1 + 9*w**3 + 7*w**3 in the form j*w**2 + h*w**3 + x + a*w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u. Let d(o) = -208*o. Let w(f) be the third derivative of -7*f**4\/12 + 68*f**2. Let g(a) = 6*d(a) - 91*w(a). Calculate g(l(x)).\nAnswer: 104*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + f**4 + 1)*(3 + 2 + 1).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*w - 150*w = z + 3, -3*w - 3*z - 9 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 13 + 5*d**2 - d - 4*d**2 to h + i*d + u*d**2 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 156.7528 times 0.515\nAnswer: 80.727692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 + 5*d**2 - 4*d. Determine y(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 5 - 2*w**2 + 0 - 3.\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5985 + 5899. Which is smaller: -39 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177077076*p**3 - 25*p**2 + 107503?\nAnswer: -1062462456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24514 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/6 + 31*v\/3 + 961\/6 = 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/748 and -125\/816.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15857564 and 2469?\nAnswer: 47572692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 5*d**4\/24 + 23*d**3\/3 + 9*d**2 - 66*d. Suppose 3*m + 8 = -19. Let b be i(m). Calculate the highest common factor of b and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 10. Let k = v + 10. Solve k*j - 2 = 2*z, j - 2*j + 1 = -z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1 - -2) + 72 + (-79 - 13).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10))\/(5\/50). Suppose l*b + 0*f - 4*f = 28, b - 2*f = 3. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/5 + 192*y\/5 - 4608\/5 = 0. What is y?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36 - -8) + -3 + 0. Suppose 0 = -3*d + 4*i + 17 + v, -3*d = -i - 46. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4008266915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26 - 12 + 1 - 23*a wrt a?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*d - 540*d + 1269*d - 543*d.\nAnswer: -253*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 27*a**2 - 70*a - 45. Let u be k(24). What is the biggest value in u, 3\/10, -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*b + 71 = 0, -4*b + 128 = -2*m - 2*m. Suppose 3*g + 4*p + 59 = -0*p, -3*g - 5*p = 55. Let r = g - m. Solve 2 = r*h - 0, 5 = -4*z + 5*h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764\/(-4485) - ((-5018)\/(-965))\/(-13)?\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56149, 56147, 56145?\nAnswer: 56143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 13 + 13 + 32*l to the form x*l + n and give x.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905918?\nAnswer: 2, 3, 7, 23, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131 - 129. Suppose -600 = -l*y + 2*s, -y - 5*s = -0*y - 306. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**2 + 7*l + 5. Let u be b(-4). Suppose 0 = 4*z - z - u. Calculate the remainder when 202 is divided by z.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-40 + 31 - (-3 + 1)) + 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171e3 (base 16) to base 9.\nAnswer: -153802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.039 in 3, -2\/3, -19203?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730632094 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 289.9 - 290. Put y, 23\/4, -5 in decreasing order.\nAnswer: 23\/4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*r + 2*a + 3, 5*a - 3 = -2*r. Let w = r - 0. Let p(k) = -29797*k + 3*k**3 + 5 - 4*k**3 + 29801*k + 3*k**2. What is p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431 = 115*l - 411 + 152 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 128771 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66796216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-34)*18\/99)\/((-2)\/(-1)*1)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -12, -4*h - s = -3*s - 1512. Let q = h - 244. What is the greatest common factor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a**2 - 12*a + 10. Let w be m(3). Suppose -1152 = 25*r - w*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 28, -1, -3, 12, -5 in descending order.\nAnswer: 28, 12, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9086 divided by -7\nAnswer: -1298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70228301.\nAnswer: 11, 13, 71, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 618904 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2516 + 4490. Let s = -196 - p. What is s rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than 2.25469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.19 in -2, -1, -0.11, -4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161 - -152. Let s(m) = 2*m + 12. What is s(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 918, 814, 654, 438, 166, -162, -546?\n\"Answer: -28*y**2 - 20*y + 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 28*s**2 - 94*s + 13. Determine b(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 o when four letters picked without replacement from {a: 3, o: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 7, 0.4, 0.04 in decreasing order.\nAnswer: 7, 0.4, 0.3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2476802 is divided by 1669.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 5*r + 10*r - r)*(2 - 5 - 3)*(-2*r - r + 4*r) in the form x + d*r**2 + l*r and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y = 3*q - 59730, 34*q - 4*y = 30*q + 79584. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + x - 8 = -0*v, -4*v = -4*x. Let z be (-6)\/9 - v\/(-6). Suppose z - 4 = -p. What is the highest common divisor of p and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 0. Let f(m) = m - 5. Let u be f(3). Let g = 2\/17 + 11\/51. What is the closest to n in g, u, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -1 - (4 + 1)) + (-407 - -418)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 1:32 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + (-2)\/(-56). Let z be 4\/(-10) + (-2)\/(-5). Suppose 20 + 1 = -5*l + 4*p, -2*p = 3*l + 17. Which is the nearest to s? (a) l (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - (-1 - 2 - (301 + -323)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4917218693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 5:28 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 7*p**2 + 20*p - 136. Give d(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1393, 1428, 1495, 1600, 1749, 1948?\n\"Answer: n**3 + 10*n**2 - 2*n + 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3)*1607175\/90 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -412504 + -122310?\nAnswer: -535214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236*t - 362*t - 3060*t**4 + 99 + t**2 - 350*t - 2590*t**4 - 96 + 2*t**3 wrt t?\nAnswer: -135600*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -2224.\nAnswer: -2219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 55. What are the prime factors of j\/8*(-168)\/9?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1152111 (base 7) to base 3\nAnswer: -21110221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -18\/3301?\nAnswer: -18\/3301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 10*m + 8. Let j = 122 - 143. Let i be (-4)\/(-5)*(-7 - j\/(-7)). Calculate w(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -18*f**4 + 4*f**3 - 66*f**2 + 6*f - 6. Let b(o) = o**3 - o**2 + o - 1. Let t(v) = -6*b(v) + s(v). What is the third derivative of t(l) wrt l?\nAnswer: -432*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 2. Let a(o) = o**3. What is -6*a(t) + y(t)?\nAnswer: -5*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(13) - (sqrt(117) + -2) - 3*(0 + sqrt(13))) + 0 + sqrt(1872) + -1 + 0 + 4)**2.\nAnswer: 28*sqrt(13) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -2*u + 4*o + 22, 0 = -5*u + 5*o + 5. Find the third derivative of -294*d**4 + 274*d**4 - 17*d**2 - u*d**2 wrt d.\nAnswer: -480*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, k: 7, e: 6, a: 1}. Give prob of sequence ee.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 3. Suppose -4*k = a + m*a - 8, -4*k + 2*a = 4. Suppose k = -4*x + l + 25 - 7, -l + 6 = 2*x. Solve 0 = -x*g + 8 - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 13*f + 5. Let i = 15.7 + -23. Let p = i - -7. Which is the third smallest value? (a) p (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + 1 + -4 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - -4. Suppose 0 = 5*w - 15, 4*w - c = 3*i - 0*i. Solve -l + 5*l - 16 = i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -2, -1418, 5 in descending order.\nAnswer: 5, 4, 3, -2, -1418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160635381 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1817, -5, 0, -7\/6, -15, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 1*(-3)\/3. Let n(b) = -1 + 2 + b**3 + 1 + 6*b**2 + w. Let i(v) = -v**3 - 5*v**2 - 4. Let l be 2\/3 - (-78)\/(-54)*-3. Give l*i(y) + 4*n(y).\nAnswer: -y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7350 by 294.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 49, 75, 101, 127, 153?\n\"Answer: 26*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-180) + (-6)\/27.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.676531 micrometers to millimeters.\nAnswer: 0.007676531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 3*o. Suppose 6 = 6*w - 4*w. What is d(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*j**2 + j**3 - 239*j**2 - 370*j**2 - 309*j**2 - 37*j**2.\nAnswer: j**3 - 1097*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -56\/21417 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289721\/5297242 + 1\/19333. Let s = 13593\/548 - p. What is the common denominator of 97\/10 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 0*h = -40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -1318, -2972, -5288, -8266?\nAnswer: -11906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -2481.\nAnswer: -8\/2481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622010616.\nAnswer: 2, 202751327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11045*i - 11049. Calculate r(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 1. What is the smallest common multiple of p(5) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -36\/5 (b) 0.4 (c) 4\/7 (d) 1\/3 (e) 65141\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 0\/(-3) - 178\/(-60). Do 1 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67a571 (base 15) to base 7.\nAnswer: -60015451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29730 minus 1323.969932?\nAnswer: 28406.030068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -12*m - 2935. Let t be p(-245). Let f = 2 - 5. Which is the third smallest value? (a) t (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g + 16. Let t be q(-5). Suppose -60 = -l + b, b = l - 2*l + t. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2042367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*p = -z + 12, -4 = 2*z - 4*p. Let t be -11 + 3 + 0\/z. Let j = t - -11. Solve 1 = -3*k + w + 18, k + 4*w + j = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 - 3*c + 1. Let q(b) = -16*b**2 + 16*b - 5. What is 11*i(t) + 2*q(t)?\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 - 3*p - 3. Let d be u(-2). Suppose -z + 2*m - 3 = 0, 3*m + 42 = -5*z + 4*m. Let f = z - d. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g - 14*g + 0 - 1)*(4 - 2 + 1) - g + 4*g - 97 - 4*g.\nAnswer: -19*g - 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.14 or -8?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb32 (base 12) to base 10.\nAnswer: 20630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2074 by -10.\nAnswer: -1037\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.4 + -7.4. Which is the closest to -0.1? (a) h (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.959 and -0.09499734?\nAnswer: 4.05399734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38273824 is divided by 5060.\nAnswer: 5044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -10, -4, -9, -5 in increasing order.\nAnswer: -22, -10, -9, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13e3 + 0?\nAnswer: -13e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -340*j + 4199. Calculate the remainder when 23559 is divided by h(12).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5)**8 assuming c is positive.\nAnswer: c**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 39, 63, 87, 111, 135?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 21.4?\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(2) + sqrt(20)\/(sqrt(100)\/sqrt(10))))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.61019097 and 0.1?\nAnswer: 1.51019097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117032945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1372622 and 0.06.\nAnswer: -82357.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/27 and (-8)\/(-18) + -7 + (-3 - -12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ab4 (base 13) in base 5?\nAnswer: -112114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(660) + sqrt(660) + 2*sqrt(660)) + sqrt(660))\/((sqrt(36) + sqrt(324))\/sqrt(3)))\/(-2*-1*sqrt(99)*-1*-2).\nAnswer: 5*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5019010 rounded to the nearest 10000?\nAnswer: -5020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -748 divided by 187\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2578634506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*y - 17*y = -20*y. Let f(j) be the second derivative of 0*j**4 - 9*j - 8\/3*j**3 + y + 2\/5*j**5 + 0*j**2. What is the second derivative of f(u) wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*18\/63*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10979 and 0.2?\nAnswer: 2195.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 1:09 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072768241.\nAnswer: 1072768241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -14 - 407*s + 408*s + 14. Let m(y) = -14*y**2. Determine v(m(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 + 60*h - 26. Let i(d) = 7*d**2 - 119*d + 52. Let v(m) = -3*i(m) - 7*y(m). What is the remainder when v(9) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 662 (base 7) to base 6\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35 * 21490\nAnswer: -752150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-6))\/w**(-4))\/(w*w*w**(2\/3)\/w*(w*w**(2\/13))\/w))\/((w*w*w\/w**(-1\/5)*w)**(-22\/3))**(5\/4) assuming w is positive.\nAnswer: w**(2783\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36548974?\nAnswer: 2, 7, 11, 237331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.182 + -0.102. Which is the second biggest value? (a) -4 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58497828 a multiple of 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*p**2 - 1673*p - 38*p**2 + 40*p**2 - 27*p**2)*(4*p**3 - 2*p**3 - 3*p**3).\nAnswer: p**5 + 1673*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -142, -155, -176, -205?\n\"Answer: -4*x**2 - x - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1365, 5357, 12021, 21357?\nAnswer: 33365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + m + 2. Let j(n) = 1473*n**2 - 6*n - 12. Determine -6*d(c) - j(c).\nAnswer: -1467*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 41*m - 25. Let b be 1 - 1 - (26\/(-2) - 4). Is 45 a factor of d(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5 + 60*l**4 - 70*l**3 - 60*l**2 + 65*l = 0.\nAnswer: -13, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 3267?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, 3, 4, -2.\nAnswer: -12, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, 7384, -3, -65, 0.005 in increasing order.\nAnswer: -65, -3, -0.5, 0, 0.005, 7384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45955 is divided by 535?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 1737*a**4\/4 - 872*a**3\/3 - 5998*a. Find the second derivative of q(y) wrt y.\nAnswer: 10422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -713?\nAnswer: -70e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16) + (-143)\/260.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/13)*g*g*g*g**(-5)*g*g*(g\/(g\/(g\/(g*g**2)))*g)**(-6\/17) assuming g is positive.\nAnswer: g**(61\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 23 = -7. Let k = 1846 + -22199\/12. What is the common denominator of (-2 - 71)\/(50\/m) and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 12*u. Let k(q) = 4*q**2. Determine k(t(h)).\nAnswer: 576*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-1)\/(8\/6))\/((-226)\/904)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 12*t**2 - 225 + 0*t**3 + 121\/4*t**4 + t. What is the second derivative of u(p) wrt p?\nAnswer: 726*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -299 + 98 - l + 102 + l**3 - 215*l**2 + 100 as x + f*l**3 + i*l**2 + d*l and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(99) + 2 - sqrt(99))*-1 - (sqrt(99) + 0)*1 - (((sqrt(1100) + 1)*-5 - sqrt(1100)) + 3))**2.\nAnswer: -142956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31\/3? (a) -5 (b) 0.1 (c) 1\/264 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201020012 - 2?\nAnswer: 201020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 97996247681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210200 - -120101?\nAnswer: 1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095752 is divided by 10049?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 - 3*t - 10*t**3 - 4 + 5*t - 3*t as c + m*t**2 + o*t + b*t**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4 - 112 + 9*j - 7*j - 11*j. Let p be r(-14). What is the highest common factor of p and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2162\/4 + (-3)\/(1 + 5). Let f = -632 + q. Put -4, -3, f in decreasing order.\nAnswer: -3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 3. Let h be l(3). Suppose 0 = -u - c - 2, -3*c + 2*c - 4 = h. Let m be 0\/(0 - u\/1). Solve 0 = 4*g - m + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 - -310221?\nAnswer: 310321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -41*y**3 + 740*y**2 - 36*y - 12. Calculate b(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c + 4, 0 = 4*i - 4*c - 52. Solve -3*d + 5 - 2 = -3*f, -3*d = -i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 65\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*r - 32, -5*r + 4*h - h = -32. Solve -r*a - 2*a = 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665401 divided by -1?\nAnswer: 1665401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*-1*sqrt(1300) - (sqrt(1300) + ((sqrt(1300) + (1*sqrt(1300) - sqrt(1300)))*-2 - sqrt(1300))) - (sqrt(1300) + 3*sqrt(1300)*1 + -4)**2).\nAnswer: -41632 + 760*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.31, 0.4, -16, -26\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h**2 + 66*h - 11. Let d(s) = 8*s**2 - 30*s + 5. Let p(i) = 11*d(i) + 5*l(i). Let y(q) = 2775*q**2. Give y(p(g)).\nAnswer: 24975*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(196)*-4)\/(sqrt(70)\/(1*sqrt(10) + sqrt(10))).\nAnswer: 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 8125.\nAnswer: 1\/8125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 25. Let t be j(-22). Let h(w) be the third derivative of 0*w**t - 1\/180*w**5 + 5*w**2 + 0 + 1\/72*w**4 + 0*w. Suppose h(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 7*c - 3 + 2 + (1 - 2*c - 1)*(2 + 0 - 1).\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2493312 take away 2866822?\nAnswer: -5360134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c. Let i(v) = -2 + 2 - 3*v + 2*v. Give u(i(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*y + 339 - 346 = 0, 5*a + 5 = -3*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 236096*c**2 - 708302*c - 472204.\nAnswer: 2*(c - 118051)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33c0 - a4?\nAnswer: 331b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**4\/3 + 7*t**2\/2 + 89*t - 11. Let k(p) be the first derivative of s(p). Let h(u) = u**2. What is k(h(g))?\nAnswer: -4*g**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526913 a multiple of 535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q + 27*q - 58*q - 40*q to o*q + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**1)\/(u*u**(-3\/2)) assuming u is positive.\nAnswer: u**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 24*l + 0 - 7.\nAnswer: 24*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-20*1)\/(-2). Let h = -15 - 85. Let l = n - h. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 7*x + 46. Calculate d(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/12 - 17*s. Let p(t) = -3*t**2. Calculate p(q(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 - 3*p**2 - 3*p + 7. Let h(l) = -l**3 + 1. Let s(n) = -4*h(n) + u(n). Suppose 0 = w, -4*i = -2*i + 5*w. Suppose -3*z + i = -12. What is s(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppqququppqquuspup. Give prob of picking 4 u.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 41*v**3 - 5*v**2 - v + 34. List the prime factors of k(4).\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 148, 268, 408, 574?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 9 + h**3 + 12 - 5*h**3.\nAnswer: -7*h**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 9*d - 7*d. Let q(i) = i - 5. Let x be q(d). Suppose x*h - 1295 = -5*h. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 143 + 413 = 0. Let w be (-4)\/6*15\/(-2). Calculate the greatest common factor of w and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elleeeeee. Give prob of sequence elel.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24233 (base 8) to base 5\nAnswer: -313040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f - 240 = -21*f + 15*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/124 and (63\/(-24) + 2)\/(77\/(-484)).\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*j**2 + 48*j**2 + 47*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:22 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -19*u**3 - 2*u**2 - 16*u - 2. Let y(x) = -39*x**3 - 5*x**2 - 31*x - 5. Let z(q) = 5*g(q) - 2*y(q). What is the second derivative of z(f) wrt f?\nAnswer: -102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 3*g)*(2*g**2 - 3 + 3) + 2*g**2 - 2*g**2 - 3*g**3 + g**3 + 0*g**2 + 0*g**2 + (-g + 3*g - 4*g)*(-1 + 1 + 5*g**2).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 114?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.99357 and 35.\nAnswer: 69.77495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 34880.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 8*j**2 + 9*j. Let s be i(-9). Let h be s\/2 + (-1 - -1). Let a = h + 0. Solve -5*y + a + 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.74 and -2.198.\nAnswer: -8.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006825673 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 10*c**2 - 9*c - 10. Let l be x(9). Let f(i) = -3*i + 126. Let j(b) = 5*b - 206. Let n(u) = 23*f(u) + 14*j(u). Give n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m. Let g(y) be the first derivative of 1\/2*y**2 + 100 + 4*y + 1\/4*y**4 - 1\/3*y**3. Determine g(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*m - 84 = -9, 3*t - 16 = -4*m. Suppose -48 = -4*p - 0*p. What is the highest common divisor of p and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2815 + 4667 - 4*l**2 - 7482.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1205*l**3 + 42*l + 46. Calculate d(-1).\nAnswer: -1201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*m - 5*m**5 + 3*m**3 - 96*m + 48*m + (2*m**4 + 2*m**3 - 2*m**3)*(-2*m + 4*m - m) + 3*m**5 - m**5 - 5*m**5.\nAnswer: -6*m**5 + 3*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*m + 4*f, -15*m = -20*m - 3*f + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005798163 to 7 dps.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-147 + 54 + 62 - 6*z**2)*(z - 2 + 2) + 5*z**3 + z**3 - 5*z**3 to the form m*z + a + o*z**3 + g*z**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 2011230331?\nAnswer: 2011231001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -580, -573, -324, 287, 1380, 3075, 5492?\n\"Answer: 20*g**3 + g**2 - 136*g - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-46)*77\/(-14). Let m = -3\/23 - t. Factor m*d - 5*d**2 + 0 + 5\/2*d**3.\nAnswer: 5*d*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4591004 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 343 or -1691?\nAnswer: -1691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) + -1)**2 + -5.\nAnswer: -2*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.05 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.5, -4, -10?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11009621 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -1032, -2933, -6486, -12243, -20756, -32577, -48258?\nAnswer: -68351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -2467\/231 + 112\/33. Let r = 7 + n. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45520 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.058\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/17 or -2527941?\nAnswer: -2527941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 39403975 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*p + 25, p - 9 = 2*q - 2. Suppose 4*g - 2*x = p*x - 36990, 5*g = 3*x - 46244. Let i be g\/(2\/(8*-1)). Round i to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i + 5*i - 99. What is the greatest common divisor of 561 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5\/5 + 1648*d**4\/5 - 1668*d**3\/5 - 14872*d**2\/5 - 18158*d\/5 - 1320 = 0.\nAnswer: -825, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/9 + 20*k\/3 = 0 for k.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97394 - 56787. List the prime factors of x.\nAnswer: 7, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 + -34 + -13 + 109\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2162, -8658, -19492, -34670, -54198, -78082, -106328?\nAnswer: -138942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2340 + 4472. Calculate the common denominator of y\/(-1080) - (-4)\/54 and 97\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, j: 6}. What is prob of picking 3 s?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -41*m + 2441. Determine y(57).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 7)*(-11)\/(-99). Suppose 0 = -4*v + 3*i + 21, 6 = -5*v + 2*v - 5*i. Let a = -6 + v. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 316 and 12?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13069\/6 - 2173. Which is smaller: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*p - 308*p = -42 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4274695 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3 + 5 - 3*w**2 to g + f*w + b*w**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*v, -2*b + 7 = 5*v - 17. Calculate the remainder when 8\/(-196) - (-894)\/294 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106344 and 241841448.\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -70 from -111842556.\nAnswer: -111842486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1642*u + 1410*u + 2270*u + 1591*u.\nAnswer: 3629*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -37, 0, -10, 13, -15 in increasing order.\nAnswer: -37, -15, -10, 0, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(5\/15). Let r be (a + 4\/3)*39. Let d = 10 + r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1358*s + 679 with respect to s.\nAnswer: -1358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12132)\/(-2) + (-13620)\/681 is divided by 126.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45130 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 22*v**2 - 198*v + 37. What is the hundreds digit of h(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 480, 59, -1, -5 in ascending order.\nAnswer: -5, -1, 2, 5, 59, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 2*h + 2*u - 7, 4*u - 5 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 13561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 9. Let r be f(6). Find the third derivative of 2*g**3 - 3*g**3 + 0*g**3 - g**2 + 3*g**r wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 - -31. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -5 (c) -2\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.6, 10504 in descending order.\nAnswer: 10504, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**2 - 88*a - 192 = 0. Calculate a.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -2) + (1 - 27). Let s = l - -73. What are the prime factors of (-2)\/6 - s\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.151 + 0.5818?\nAnswer: 356.7328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 93629209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1566, 1, 19\/18, 2?\nAnswer: -1566","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 218.93669 + -1\nAnswer: 217.93669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 757 + -410. What is the first derivative of -85*r**2 - 347*r + h*r - 41 wrt r?\nAnswer: -170*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3427948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-126 + (4 - (-36)\/(-10))). What is f rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 49?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (218 - 215)*4\/6. Solve -b*k + 13 = 5*j, -4*j = -5*k - 15 - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/24 and 1\/392.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 16) to base 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 10, 4, 13765 in increasing order.\nAnswer: 4, 10, 30, 13765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/(-392))\/((-2)\/(-4)))\/(66\/3520*10).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - -34. Let p = 3 + 87. Calculate the highest common divisor of h and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -70813*q + 662. Is s(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 197*w**4\/4 - 660*w + 546. What is the derivative of v(h) wrt h?\nAnswer: 591*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 1, u: 1, o: 1, t: 1}. What is prob of sequence tqui?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-63)*(-196)\/(-7). Let f(i) be the second derivative of 8*i**2 - i + 0*i**3 - 4\/3*i**a + 0. Find the first derivative of f(s) wrt s.\nAnswer: -32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 3*r**2 - 13*r - 4. Let b be j(-6). Let g be b\/(-30) + -7 - (-13)\/(-3). Let h = -0.01 + 0.11. What is the closest to -1 in g, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 - 8*j**2 + 7*j**2 + (-3*j**2 - 2 + 2)*(1 - 4 - 3) in the form c + p*j**2 + u*j and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2 + 13. Suppose -u*z + 57 = 4*g, 4*z = -3*g + 3*z + 39. 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 w(n) = 353*n + 33571. Determine w(-95).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -179.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 4:04 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3441.\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11360039 - 3*y**2 + 11360039.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -38 + (1 - 21) - -15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 2}. Give prob of sequence rrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 1 + sqrt(700))*-1 + sqrt(700))**2.\nAnswer: 20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205 + -139. Let q(p) = n + 3*p**2 - 66. Let o(h) = 4*h**2 + h**2 + 8*h**2. Calculate o(q(r)).\nAnswer: 117*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 5 = 2*k, 0 = 4*g + 4*k - 20. Suppose -8*d = g*d - 4*d. Suppose -49*i + 48*i + 28 = d. Calculate the remainder when 137 is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1123 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4132 - 455 = 3*k, -2*k = 4*v - 7350. What are the prime factors of v?\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (5 - (2 + -1)). Let n = w - -5. Suppose n = g - 13. What is the greatest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137138397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 2*j - j - 7*j**2 - 8*j**2 to the form d*j + c*j**2 + v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - b - 379 = 0, 4*b = p + 3*b - 91. What is the common denominator of (-68)\/p*12\/27 and 37\/72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5719 + 5718.8. Which is the nearest to 1? (a) t (b) 2\/7 (c) 0.31 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -99. Suppose 0 = -2*l + i - 2, 4*l - 4*i + 15 = 3*l. Sort -5, l, f in decreasing order.\nAnswer: l, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**2 - 5 + 6*i**2 + 5 + i**2. Let y(b) = -305*b - 2. Calculate y(n(w)).\nAnswer: -305*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*d + 6 = 0, 3*m + 1 + 2 = 3*d. What is the smallest value in -1, m, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177 + -11. Let n be a\/6 + 26\/(-39). Suppose s - r = 8, -4*s - r + n = 10. Solve 2*h = -4*x + 4*h - 8, -3*x = 4*h - s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3*4\/3*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-4 + 4)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, i: 4, p: 3, t: 10}. What is prob of picking 1 t and 1 i?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*h + 27 = 0, 26*g - 3*h + 9 = 30*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107973839 to the nearest integer?\nAnswer: 10391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 13 + 16. Suppose -2*r = i*a - 0*a - 23, -3*r + 22 = 2*a. Suppose -a*f + 13*f = 1656. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 53297*t - 319693. Give w(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a + 24. Let f be z(-8). Let v be (-8)\/(64\/(-26)) - 6\/f. Solve -v*h - h - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + x + x)*(-20*x - 180 + 180) - x**2 - 2*x**2 + 0*x**2 + (-x**2 - 4*x**2 + 4*x**2)*(-1 + 0 + 3) to the form n + l*x + f*x**2 and give f.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Suppose -y*q - 28 = -13. Let v(g) = 0 + 10 + g - 10. Let i(w) = -w - 1. Determine q*v(n) - 2*i(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-380)\/(-3990) + 34\/84)*-12 + (-12 - -2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1870576*k**3*p**4 - 88*k**3*p**2 + 2*k*p**4 + 219*k + 15*p**2 wrt p.\nAnswer: 44893824*k**3*p + 48*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (654\/(-21)*207\/207)\/(((-8)\/28)\/1)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5573.361g in milligrams?\nAnswer: 5573361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*x = 279*x + 3636. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 + 27094*j**2\/3 + 108400*j\/3 + 36136.\nAnswer: -2*(j - 13551)*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -206?\nAnswer: 5356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1378229 by -4.\nAnswer: 1378229\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -119\/29 and 940 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3780 and 24060.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375566125 to the power of 1\/2, to the nearest integer?\nAnswer: 48740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 2. Suppose x - o + 0*o = 4, -4*o = -m*x + 18. Suppose 4*t + 3*i = x*i + 15, 10 = -2*t - 4*i. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02015 - -0.02016074. Round f to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 0.2 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Find the third derivative of -3*q**2 + q**3 - 2*q**2 - x*q**3 + 2*q**2 wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2)**(-50)*(j\/(j\/(j\/(j\/j**0))))\/(j*((j*j*j**(-2))\/j)\/j))**(-1\/8))**(-6) assuming j is positive.\nAnswer: j**(-297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 195\/120 + (-610650)\/5520\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**5\/15 + 5*f**4\/6 - 4*f**3\/3 - 29*f**2\/3 - 35*f\/3 - 5315. Let g(u) = 0. Calculate u.\nAnswer: -1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5561 - 1336. Suppose -9*p = -22*p + r. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -35. What is the highest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 1620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21016 is divided by 6877.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -23 (c) 1\/8 (d) -2\/51 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 268, 229, -78, -647, -1472, -2547?\n\"Answer: i**3 - 143*i**2 + 657*i - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**3 + 36*l**2 - 2*l + 43. Let b be w(18). Let y = 18599 - b. Round y to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637.8795 milligrams in micrograms?\nAnswer: 637879.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 148317 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 divided by 6?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + (sqrt(468)*1 + -2 - sqrt(468)))**2*-3 + (sqrt(637) + -1)*-5 + 2)*6.\nAnswer: -8454 + 222*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.7, 1, -12?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -10.\nAnswer: -39\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 10:47 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 153. Let d = -112 + l. Let u = d + 36.99864. Round u to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3\/6 - 3*t. Let f be v(0). Solve f*n = -2*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 2240.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*x + 345 + 555. Solve 5*s + x = 5*f, -f - 5*s - 9 - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.7 + 13. Let k = n + 11. Let i = -46\/147 + -1\/49. What is the closest to i in k, -4, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 42*y**3 + 11*y**2 + 143*y - 11. Let u(h) = -14*h**3 - 4*h**2 - 48*h + 4. Let b(c) = -11*u(c) - 4*w(c). What is the second derivative of b(m) wrt m?\nAnswer: -84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/14 of a week in hours?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 7*c**2 - 2*c + 4. Let d be u(-5). Let y = 61 + d. Let a(o) = -o**2 + 27*o + 38. List the prime factors of a(y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 4*p = 4*g + 22, 0 = -2*g + 3*p + 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1514, 4102, 8840, 16802, 29062, 46694?\n\"Answer: 179*g**3 + g**2 + 1332*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -14. Suppose 0 = 10*u - o*u. Solve 3*q - 5*m - 1 = 0, q + u*m = -4*m - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22135*t**3 + 22151*t**3 - 129*t + t**4 + 53*t - 61*t**2.\nAnswer: t*(t - 4)*(t + 1)*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35156 + 4?\nAnswer: -35152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -777924*x**4 - 296352*x**3 - 42336*x**2 - 2688*x - 64.\nAnswer: -4*(21*x + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 divided by -69?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-16)\/t)\/t)**25\/((t\/(t*t\/(t**40\/t)*t)*t)\/t**(16\/3)) assuming t is positive.\nAnswer: t**(-1448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + -0.12. Let r = -12 - -12.07. What is the biggest value in -3, o, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**4*n)\/(((n\/(n\/(n\/(n**(-1)\/n))))\/n)\/n*n))\/(n*n*n**(-1\/5)\/n*n\/(n**(-3)\/n)) assuming n is positive.\nAnswer: n**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - 6*n)*(n**2 - 4*n + 4*n) + 0*n**3 + 0*n**3 + 2*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -212.449, 1.1, 0.1, -2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 11*d**7\/210 - 11*d**4\/8 + 2*d**3\/3 + 19*d + 24. Let s(i) be the third derivative of r(i). Differentiate s(a) wrt a.\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*h - 688*h - 11*h**3 + 1733*h - 683*h.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 0*b**2 + 3*b**2 - 10*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 195437961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 16 = i, 4*x - 8 = 6*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -12. Let f = 119 - 117. Calculate the greatest common divisor of f and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/6524? (a) -8 (b) -0.42 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) - 55\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7248 and 384752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 5*v, 27 - 3 = -4*q + 4*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -57*h**2 - 2859183*h - 300966 = 0. Calculate h.\nAnswer: -50161, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let d(z) = -5*z**2 - 3*z - 35. Give d(k(c)).\nAnswer: -5*c**2 - 3*c - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*d**2 - 10*d**2 + 21*d**2 - 31*d - 32 - 38 wrt d?\nAnswer: -2*d - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1178\nAnswer: -1\/1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**5 - 49020*b**4 - 587693*b**3 - 354864*b**2 + 2240667*b + 2424114 = 0.\nAnswer: -12243, -11, -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - p + 8190. What is p rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l - 7*l + 10*l. Suppose -2*u + 18 = -u. Let r(m) = -5*m + m - 18 + u. Give q(r(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:12 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a minute in seconds?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {n: 3, x: 11}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-810)\/(-40) - 9)\/((-6)\/(-416)). Let b = 7037\/9 - d. What is the common denominator of b and 44\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 61 - 12\/(12\/3). Let b = n + -18. Calculate the highest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i. Let o be m(-3). What is the tens digit of o\/33*(1 - 0 - -333)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p + 3. Let i(q) = q. Let r(w) = -h(w) - 6*i(w). What is the units digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*d - 0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-27 + (-244 - -162))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 235 = -27*c + 22*c, 0 = -c - 2*t + 34. What is the first derivative of s - 68*s**2 + 133*s**2 - 67*s**2 - 84 + c*s**3 - s wrt s?\nAnswer: 132*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 4*z**2 + 4*z - 4. Let x be o(2). Let d be 6\/x + 2\/4 + 1. Solve -v - d = 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -12. Suppose 6*p - l = p. Let w(c) = -c. Let h(a) = 5*a. Determine p*h(r) + 4*w(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10420, -10419, -10418, -10417, -10416?\n\"Answer: y - 10421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 8:52 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-2)\/(-4) - -2. Let g = 16.4 - 17.4. Let l be 20\/16*(-1)\/5. What is the nearest to 2\/7 in g, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*q + 9196 + 11879 = 96*q - 170*q for q.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1011253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 17\/5 - (-15)\/(-25). Factor 0*h**2 - 2\/3*h**3 + g + 2\/3*h.\nAnswer: -2*h*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - c - 5. Let m(f) = 4*f**2 - 2*f - 6. Let h be ((-155)\/(-15) - 13)*18\/8. Calculate h*y(p) + 5*m(p).\nAnswer: 2*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -581, 5783, 26021, 67069, 135863, 239339?\n\"Answer: 1156*h**3 + h**2 - 1731*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 29. Let v(w) = -47*w + 5. List the prime factors of v(q).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1243*o**2 - 10*o**2 + 51442*o - 51443*o - 1612*o**2)*(1 + 3 - 3)*(o + 3*o - o).\nAnswer: -8595*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4551 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98.1 - -0.06.\nAnswer: -98.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*10\/(-5)*2. Suppose c - 3*u = 16, 8 + n = 2*c - u. Find the common denominator of 17\/7 and c\/14 - (-2028)\/(-91).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 40*u**2 - 37*u + 43. Let t be g(-19). Let p = -59 + 95. Calculate the greatest common divisor of p and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-4)\/10*-1. Suppose -15 = -v*z + z. Let o be -45*(0\/4 + (-1)\/1). Calculate the greatest common factor of o and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 19029*i**2 + 18103239*i + 3621409.\nAnswer: (i - 1903)**2*(5*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.195 + -7.195. Let u = -5.7 + 7. Let z = u - -3.7. Put z, -2\/9, x in increasing order.\nAnswer: x, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l**2 + l - 1. Let u be k(0). Let f = -56.654 - -57.054. Sort -1\/3, 5, f, u in increasing order.\nAnswer: u, -1\/3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2e263 (base 16) to base 12\nAnswer: 91483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(117)*-3 + 5 + -2) + -5.\nAnswer: -17 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b651 + -3?\nAnswer: -2b654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2134 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, 2, -5, 4, 46 in ascending order.\nAnswer: -12, -5, 0, 2, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -1620885\nAnswer: -1\/77185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*z**3 - 7 + 7)*(-1 - 4 + 4)*(-5 + 1 - 2) + (2 + 2*z - 2)*(-5*z + 5*z - z**2) - 2*z**3 + 0*z**3 + 3*z**3.\nAnswer: 293*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72171292 and 21696?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.06, 11\/76, 1 in increasing order.\nAnswer: -0.5, 0.06, 11\/76, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87155612*n**3 - 62010643*n**2.\nAnswer: 522933672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -509 - -518. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**3 - 75904905*o**2 - 455429295*o - 683143875 = 0 for o.\nAnswer: -15180975, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/49 in -0.5, 3, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15973 is divided by 72.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 953*b**6\/120 + 349*b**3\/2 - 2*b**2 - 73. What is the first derivative of g(w) wrt w?\nAnswer: 2859*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3*-7603.\nAnswer: 25089.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**7\/840 + z**6\/60 + 13*z**5\/240 - 5*z**4\/16 - 3*z**3 - 2316*z**2. Factor g(w).\nAnswer: (w - 2)*(w + 3)**2*(w + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -981, -4463, -10443, -18921, -29897, -43371?\nAnswer: -59343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021 (base 3) in base 9?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**6\/30 + f**4\/3 + 4*f + 3. Let b(n) be the first derivative of w(n). Find the third derivative of b(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3233578 and -23.\nAnswer: -3233601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -1. Suppose -l*t + 12 = -28. Let y = 24 - 22. Solve -6*b + y*b + t = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -113*q + 167. Let r(s) = -94*s + 169. What is -5*k(h) + 6*r(h)?\nAnswer: h + 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - l**2 - 2*l**2)*(2*l - 2*l - l) - 2*l**3 + 4*l**3 - 47*l + 39*l.\nAnswer: 3*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6265146 - -3\nAnswer: 6265149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -23. Sort -1, j, 4.\nAnswer: -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4064094 to the power of 1\/2, to the nearest integer?\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.0594 days in milliseconds?\nAnswer: 56510732160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -16336?\nAnswer: 1633b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240 + -281. Let y = -249 - -208.1. Let l = k - y. What is the nearest to 1 in 1\/5, -2\/7, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142288924 + k**2 - 142288924.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2) + (-3 - 0). What is the tens digit of 4 - (0 + 13*w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -19 + -14 + (7 - 15) + 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -610655\/3 at least -18\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 19*k + 28. Let q = -26 - -36. Calculate the smallest common multiple of q and f(16).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.402414 weeks?\nAnswer: 1411.605552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -691b09 (base 14) in base 2?\nAnswer: -1101101001011011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.917 minus 287357?\nAnswer: -287478.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*t - 229*t + 371*t + 396*t + 373*t in the form a*t + h and give a.\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and -5 + 19 + 3\/(-3)*4?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 4630 = 4*p + 4666, -4*c + 5*p = -26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 6 = 5*y, -5*d - 2 = -2*y - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {g: 2, d: 1, p: 1, s: 1, e: 2, x: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:42 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 7:06 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 19*s + 20. Let k be j(17). Let f = k + 6. Let o(u) = u**2 + 21. What is the units digit of o(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/8)*v*(((v*v**(-6))\/v)\/v)\/v*v**(2\/7)\/(v\/((v*v*v**(1\/4)*v*v*v)\/v)) assuming v is positive.\nAnswer: v**(-201\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 99173 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 u = -2721 - -2877. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.5, 3, 65?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, n: 1}. Give prob of picking 1 n and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1953 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301321110 (base 4) to base 8.\nAnswer: -617124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -53, -0.3, -0.2, 5 in ascending order.\nAnswer: -53, -5, -0.3, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 - 4*x - 2. Give r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 753 and 989163?\nAnswer: 248279913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2160, 33 in ascending order.\nAnswer: -2160, -5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101.41 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + sqrt(77) + -2*sqrt(77)*4)\/sqrt(11).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 3*sqrt(9)\/sqrt(3)) + -2 - (-3*sqrt(960))\/sqrt(5).\nAnswer: -2 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -1.3. Let k = -40 - -41. What is the nearest to 1 in 4, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 15) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-42)*8\/6*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.213 rounded to 1 dp?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -528, -1982, -4406, -7800?\n\"Answer: -485*h**2 + h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -635, -2032, -4117, -6896, -10375, -14560?\nAnswer: -19457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 686138450, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.069 (b) 0 (c) 6 (d) -2\/4107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.0428, 1.2, 5, -0.004?\nAnswer: 0.0428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2016)*1)\/(sqrt(50)*-2 + sqrt(50)))**2 - (sqrt(224)*2)\/(sqrt(32)*-6))*5.\nAnswer: 5*sqrt(7)\/3 + 1008\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18924 - -18924.9. Let s be 1\/4*32\/10. What is the second smallest value in s, j, 2\/23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2716275 and 8425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -254, -3, -4\/69203?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1593 + -1512. What is the remainder when c is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 156 = -26. Let s(u) = 8*u - 47. List the prime factors of s(f).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141442457.\nAnswer: 13, 991, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 230 - 233. Is -3 + (-303085)\/(-35) - p\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 39*k + 36*k - 82*k. Let o(w) = -8*w**2 - 35*w + 10. Let x(i) = 2*i + i**2 + 10*i - 3 + 2*i**2. Let p(v) = 4*o(v) + 11*x(v). Give p(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175846746 divided by 6.\nAnswer: 29307791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {g: 6, v: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -136 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 54 = -5*o. Let z be o\/(0 + -3 + 1). Suppose z*u - 68 + 8 = 0. Calculate the remainder when 46 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*a. Let j be ((-9)\/3 - -2)*a. Suppose 5*s + 2*b = 25, -158*b = -154*b. Put 2, j, s, -3 in descending order.\nAnswer: s, 2, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33212, 33218, 33228, 33242?\n\"Answer: 2*x**2 + 33210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - ((3 - (-8 + 9)) + -1 - (-1 + 2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - -1. Suppose 16 = -4*l, 2*k + 2 = 4*l + c. Which is bigger: -5\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 5523630?\nAnswer: -5523633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + l)*(2*l**2 - 6*l**2 + 3*l**2 - 2*l**2 - 1 + 1 + (-4 + l + 4)*(0*l + 2*l - l) + 5*l**2 + 393 - 393).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -7)*291\/9. Suppose 29*v + 7357 - 1760 = 0. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -848, 4, -1, 5 in decreasing order.\nAnswer: 5, 4, -1, -848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11.61. Let w = r - 0.09. Which is the nearest to 2\/5? (a) w (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1266336 divided by 8.\nAnswer: 158292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 31*a - 1. Let y = -8 - -11. Suppose y = r + 2*r. Is z(r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 926*y**3 - y**2 - 194 wrt y.\nAnswer: 2778*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**3\/9 + 92*v**2\/9 = 0.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31163 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/2)\/(k\/k**3)*(k*k**(3\/4))**(3\/10) assuming k is positive.\nAnswer: k**(161\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23206 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*q - q + 5*x, -5*x + 5 = 0. Let k = q + 69. Let v be (-1)\/5 + k\/35. Calculate the highest common factor of 22 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72592 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*g - 30*g - 5 + 2 to q + f*g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -2) + 0 - 1*-2. Is (-1 + 76)\/(g\/2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1225*k**3 - 466*k**2 - 96862*k - 1.\nAnswer: -7350*k - 932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 - 3*h**3 + 4*h**3 + (h**2 + h**2 - h**2)*(-7*h + 18*h + 9*h).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 20 - 53 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/8568 and -41\/2.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -9836287\nAnswer: -29508861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1282465039 + 1282465039 + 58*s**2.\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(10\/9)\/d**(-9)*(d**11*d*d)\/((d\/(((d**(2\/7)\/d)\/d)\/d*d))\/d) assuming d is positive.\nAnswer: d**(1348\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 - -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 57. Suppose 2*o + m + 4*m = 16, 5*o - b*m = -26. Let y be (106 + -1)*(o + 32\/12). Round y to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 177?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 - 2.4. Which is the nearest to k? (a) 1\/3 (b) 5 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-3700)\/(-20)*(-18)\/(-10) and 592.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = -75*d + 51*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from hlll.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506761, 506735, 506709, 506683, 506657?\nAnswer: 506631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o. Suppose 2*d = 3 + 7. Let l = -1 + d. Let i(u) = u + l*u - u. What is j(i(t))?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26923471*a**4 + 10*a**3 - 3942959*a + 55.\nAnswer: -323081652*a**2 + 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 49. Put 3\/7, h, 2 in decreasing order.\nAnswer: h, 2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m + 21*m + 2*m**2 + 0*m**2.\nAnswer: 2*m**2 + 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -23. Suppose 2*l = 4*s - 206, s = -l - f*l + 69. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -326, 35, -6, -4 in decreasing order.\nAnswer: 35, 12, -4, -6, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3767\/22 or 170?\nAnswer: 3767\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**(28\/5))**(2\/45) assuming b is positive.\nAnswer: b**(14\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 307 - ((-4)\/(-6))\/(8\/(-36)). Let o(m) = -5*m + 2. Let j be o(2). What are the prime factors of (-3 - j)*l\/25?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*a**5*s - 6*a**3*s + 2*a**2*s + 328*a*s wrt a.\nAnswer: -2400*a**3*s - 36*a*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(1 - 1 - 2*i**3)*(-2*i**2 + 4*i**2 - 4*i**2 + (-1 + 1 - 2*i)*(0 + 0 - i) - 3*i**2 + 0*i**2 - 3*i**2) - 2*i**3 + 2*i**3 - i**5.\nAnswer: -13*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g + 41. Determine k(-8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -66*u + 337 + 133*u + 61*u + 79*u. Is c(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**2*u**4 + 3*s**2*u**2 + s**2*u + 3*s*u**4 + 654*s - 2*u**4 - 10*u**3 - 3*u wrt u?\nAnswer: 48*s**2*u + 72*s*u - 48*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (23 - 7) - (-1 - (2 - 0))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -433 divided by -18.\nAnswer: 433\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3177\/(-630) - (0 + 2\/8). Let m = 54\/35 + g. Calculate the common denominator of m and -11\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.15 - 0.05. Let s = -101 - -705\/7. Let c = 7 - 4. What is the closest to 1 in s, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(15\/6))\/(-2). Let b be (9999 + 1)\/u*-59. What is b rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*d + 3 - 263 + 263 - 51*d + (3 + 2 - 3)*(5*d - 4*d + 0*d))*(0*d + 2*d**3 + 0*d).\nAnswer: -102*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/4)\/((-13)\/4420). Let z = n + 359. Calculate the remainder when z is divided by (1 + -4)*9\/(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/36 - 1\/4. Suppose 0 = -65*c - 33*c + 98. Do j and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnb when three letters picked without replacement from wbrwwwwhiwnbbhhwbbrw?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51188 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 5. Let f = j + 7. Let w = -70 + 79. Sort w, 2, f in descending order.\nAnswer: w, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 231*v**2 - 584*v + 649. What is g(-118)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 62*(16\/(-4))\/8. Let y = r - -57. Calculate the remainder when 49 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = -16. Let l be (-98)\/(-24) - (-211)\/(-2532). What is g in 13\/4*g**n + 3*g**l + 1\/4*g + g**5 + 3\/2*g**2 + 0 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -9. Let b be (-1 - -2)\/(x\/(-15)). Suppose 0*l + 3*q = 2*l + 15, -q + b = 4*l. Solve l*o = 4*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(2835) - 1*sqrt(2835)))\/((sqrt(20) - sqrt(5))*6) - ((sqrt(168)\/(sqrt(6)*2))\/sqrt(4) + 2).\nAnswer: -2 - sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2583 and 378?\nAnswer: 15498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18287 + -56354.\nAnswer: -74641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and -867916.\nAnswer: -50339128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 889724 and 1.93?\nAnswer: 889722.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -21517.6848 to the nearest one hundred.\nAnswer: -21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**4\/8 - 3*c**3\/2 + 21*c**2\/4 - 37*c. Solve a(i) = 0 for i.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -7*h**3\/6 + 10*h. Let r(o) be the second derivative of -2*o**3 + 336*o. Give r(y(q)).\nAnswer: 84*q","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/77)\/((9758\/187)\/7)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/4 - 2*w**3\/3 + 3*w**2 + 3*w + 7. What is the units digit of j(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aakfkffmkf. What is prob of picking 3 f?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21*(5\/3)\/5. Suppose -2 = 2*r, 3*g - 4*r - q = 2*g. Solve -m - g*p + 4 - 10 = 0, -5*p = 4*m + 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 21*h + 16*h + 21 = 0, 0 = -5*s + 2*h. Solve 0 = -3*v, 9*v = -s*k + 5*v + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*l - 2*d - 9, 0 = 5*l - 3*d - 9. Let w(y) = y - 1. Let p be w(l). Let c(t) = -3 + 2 + p - 3*t + t - 2*t**2. Calculate c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 4*y + 8. Let q be -5 - (1 - 1 - -1). Suppose -24 = -5*g + 11. What is the remainder when j(q) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 102 + 116 = 0. Let c(s) be the first derivative of -x - 1\/2*s**2 + s. Calculate c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -17. Let m(z) = z**3 - 6*z**2 + 7*z - 7. Let o be m(5). What are the prime factors of (w\/10)\/(o\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = -r + 27, -5*h = 4*r - 53. Suppose f - h = -x, 4 = -3*f - f. What are the prime factors of 7\/(-5)*-143 + (-2)\/x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36158, -72377, -108596, -144815?\n\"Answer: -36219*i + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -422, -1693, -3812, -6779, -10594?\n\"Answer: -424*z**2 + z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2. Let k(r) = 126*r + 3. Determine x(k(u)).\nAnswer: 47628*u**2 + 2268*u + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54707069171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-224)\/70 + (-2)\/(-10). Put 2, -4, f in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 2*h**2 + 1600*h - 17. Determine s(-41).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/120 - r**5\/20 - 5*r**2. Let o(x) = -x**2. Let a(i) = i**2 + i + 1. Let n be a(0). Give n*c(q) - 3*o(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2725173, -2725170, -2725167, -2725164, -2725161?\nAnswer: -2725158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21681 and 2241173?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/10*(-3)\/(-9). Put 27, 0, r, -2 in increasing order.\nAnswer: r, -2, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/36 and -83\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-1 + sqrt(2) + -3)*-4 - ((sqrt(8) + -3 - sqrt(2)) + 1)))**2 + 2.\nAnswer: -4500*sqrt(2) + 9352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Simplify (((a**(-1\/3)\/a)\/a)\/a)**(-10\/13)*(a**(-17)\/a)\/a**(-14) assuming a is positive.\nAnswer: a**(-56\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2\/9, -2, -5, 53091, -2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -11 (b) -2 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 0. Suppose 2*a = 5*a - 6. Suppose 6*b - a*b = n. Solve 43 = 5*z - 5*l + b, 5*l + 28 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*(-2 + 56\/12). Suppose s + 2*s + 5 = -v*k, 3*k + 3 = -2*s. What is the third smallest value in -22, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) -3\/5 (c) 66 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (96\/28)\/((-9)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19751 or -19752?\nAnswer: -19751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 5 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 0 - 18\/(-3). Let p = -5 + w. What are the prime factors of p*(-3 + (-45)\/6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 524600 and 3096?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/3))**(-21)*(k**(1\/4)\/k)\/(k\/(k*k*k\/k**(-3)*k)))**17)**(-33) assuming k is positive.\nAnswer: k**(19635\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 171 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -1, -800, -15, 1 in ascending order.\nAnswer: -800, -15, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 71887905.84+-1.6\nAnswer: 71887904.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 7 - 57. Suppose 0 = 2*n - k - 15. Calculate the highest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -14023*h**2 + 28046*h - 8. Calculate a(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u - 5. Let g be o(0). Let p be 15\/g - (-17 + -2). Solve -r - p = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -12*d**4 - 3*d**3 + 3*d + 10. Let s(v) = -v + 3 - 5 + v**3 + 1. Let l(f) = -3*s(f) - y(f). Differentiate l(c) wrt c.\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, j: 1, m: 1, d: 1}. Give prob of sequence rdrj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 12*y - 14. Give m(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:35 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-4 - 49\/(-7). Let d(m) = m**3 - 6*m**2 - 6*m - 2. Let p be d(7). Sort v, p, 4.\nAnswer: v, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3 = 3*p, 5*p = -0 + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0 + 3, -4*m - z = -1635. Suppose -3*p + 465 = 2*d + 77, -3*p = -3*d - m. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2419243 and 53332?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270151 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(684)*-2 - 4*(0 + sqrt(684) - sqrt(684))) + 1*(sqrt(684)*-2 - sqrt(684)) + -1*sqrt(684)*5 + -3)**2.\nAnswer: 432*sqrt(19) + 49266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 296114 - -10?\nAnswer: 296124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c + 5 - 5 + (1 - 6 + 4)*(2*c + 0 + 0 + (1 + 6 + 3)*(2*c + c - 5*c)).\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-25)*5\/6*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 423 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/(-140)*(-64)\/(-3328).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + d. Suppose 0 = t + 4*r + 15, 2 = -t + r + 7. Let l(n) = -3*n + 5. Let k(s) = s**2 - 1. Let v(z) = -5*k(z) - l(z). Calculate t*v(c) - 3*u(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ereeerscrsqeesqcsee. What is prob of picking 2 e and 2 c?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -126, -190?\n\"Answer: -64*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -223 (b) -34 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218022 is divided by 9477.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*x - 18, 0 = -7*s + 3*s. Is (-100)\/x*(-6)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 796\/(-597)*265*(-15)\/(-100).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0 - 3 - 3*m + 6. Let l be w(-9). Suppose -k + l = 4*k. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -60. Solve b*t = 10*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -271 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -223 + 269 - (1 + 28).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -121, -259, -473, -781?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u - 2*u)*(3 + 3 - 2)*(7 + 0 - 1).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + 2*v + 10. Suppose -4*l + 3*g + 2*g - 2 = 0, 4*l - g + 10 = 0. Let a = -9 - l. What are the prime factors of c(a)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -3452?\nAnswer: 3451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.259571 rounded to three decimal places?\nAnswer: -4.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0 + 0 + 6. Let s = 65 - 60. Suppose -2*j - 2 = 4*m - 18, -s*m + 5 = 0. Is x at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) - -1*sqrt(187))*-3)\/(sqrt(539)*2 - sqrt(539)) + 5.\nAnswer: -5*sqrt(17)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21032213 (base 6) to base 8.\nAnswer: 2251161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 1, t: 3, r: 1, a: 3, d: 2}. What is prob of sequence ltr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 8*w. Let f(r) = -160*r. Determine d(f(n)).\nAnswer: -25600*n**2 - 1280*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(27\/(-6)))\/((-40)\/(-30))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*s + 86*s = -112. Solve -z = -s*z - 42 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 159 = -a + 14*x, -69 = 29355*a - 29348*a + 4*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223544.\nAnswer: 2, 3, 7, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8998 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*j - 514 = -1347 - 2287. Suppose 5*z - 572 = -p, 3*z - 4*p + 52 = 409. Calculate the remainder when z is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88555, 353877, 796081, 1415167, 2211135, 3183985, 4333717?\nAnswer: 5660331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*sqrt(117))**2 - (sqrt(1300)*-4 + -1))*-2.\nAnswer: -3746 - 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 4. Suppose 0 = -0*r + 8*r. Put m, r, 3 in decreasing order.\nAnswer: 3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 579 + -125. Suppose -3*i = -i - o. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -841 (base 9) to base 12\nAnswer: -491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q - 1. Let x(j) = -22*j**2 - 31*j - 25. Let i(t) = 5*t**2 + 6*t + 6. Let r(u) = 13*i(u) + 3*x(u). What is -7*o(f) - 3*r(f)?\nAnswer: 3*f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.54 - 180444?\nAnswer: -180483.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k + 3*k**3 - 5*k + (-4 + 4 - 2*k**2)*(0*k + k - 2*k) + 60 + 60 - 120 - 1629*k**3 in the form b*k**3 + l + u*k**2 + p*k and give b.\nAnswer: -1624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 384\/65 - 7\/65. Suppose -1108*h + 4952 - 1786 + 2374 = 0. Is h <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + -2 + 2 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.4, -3, 2\/3, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 5 (c) -6\/11 (d) 105\/11 (e) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2*sqrt(336))\/sqrt(12) - ((sqrt(140)*2)\/sqrt(5) - sqrt(28)))**2 + 1.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 46. Let c = p - -55. Let i = -5 - -18. What is the remainder when c is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 31*p**2 - 6*p - 77. What is g(-31)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = 4*g + 1302 - 1198 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/((-12)\/9 + (-8)\/12). Let o(n) = -k*n - n + n + 4*n. Let y(m) = -2*m. Determine y(o(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 644 + -52?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)*l**(-6\/7)*(l*l\/(l*l**2\/l*l))\/(l\/(l\/l**(-1))) assuming l is positive.\nAnswer: l**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 175 = 5*r, 2*r + 3*r = -3*o + 205. Suppose -5*v + 5*s + 20 = -4*v, v + s = 20. What is the remainder when r is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*n + 28044 = -256*n for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(64\/(-3)))\/(18\/12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 16 = 2*z, 4 = 2*k - 4. What is the hundreds digit of (-13 - -13) + 1 + (-764)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -2\/35*r**7 + 0*r + 0 + 2\/3*r**3 - 4*r**2 + 1\/84*r**8 + 2\/15*r**5 - 1\/2*r**4 + 1\/15*r**6. Determine o so that d(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by 11?\nAnswer: -102\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let n(t) = t - 5. Let s(u) = -5*u + 2. Let b(w) = -14*w + 7. Let o(j) = 4*b(j) - 11*s(j). Let l(r) = 6*n(r) + 5*o(r). Calculate i(l(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -9. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22890059501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/17)\/((w**(-10)*w)\/w))\/(w**2)**(9\/5) assuming w is positive.\nAnswer: w**(539\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10562 - -15569. Suppose 0 = -17*r + 13*r - 2*n + 9974, 2*r = -5*n + p. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10522056 to the nearest integer?\nAnswer: 3244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9108 and 1104?\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 602 + -602. Solve 24 = -5*m - 2*i, 2*m + 7*i - 2*i + 18 = h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904772279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/33 and -125\/204.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4 + 35883*y**3 + 823698*y**2 - 288492*y - 23637240 = 0. Calculate y.\nAnswer: -11938, -22, -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*b - 1617 = -1592, 30 = -5*b. Suppose 2*a = 19 + 1. Suppose -4*y + 23 = -3*v - 4, -1 = 3*y + 2*v. Solve r = -y*u - a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 37 = -3*i, 2*i - 4*l - 28 = 4*i. Let v(g) = -g + 3. Give v(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(4\/(-36))\/1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30680957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 37. Let l be -1 + b - (-32)\/(-8). Solve 12 = 5*u - l*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -763 - -324. Let s = x + 446. Solve -19 = 5*u - 4*h + s, 2 = -3*u - h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*y + y**3 + 2*y**3 - 205*y + 1 to the form w*y**2 + a + l*y**3 + b*y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 469054 and 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + s**2 + 6. Let c be b(0). Let q be 1 + c\/(-3) + 3. What is the second derivative of -4*w**5 - q*w + w**5 - 3*w**5 + 5*w wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 1247*v**4\/4 + 248*v - 470. What is the first derivative of f(a) wrt a?\nAnswer: 3741*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.041 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 397915894*r**2 - 2*r - 89472247?\nAnswer: 795831788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 3, y: 10}. Give prob of sequence rr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 - (-6 - -5 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4445 = -5*t + 11675. Suppose t = 6*y - 78. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4443? (a) -2 (b) -3\/4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 2*d**2 + 2*d**2 + (0*d - 4*d + 2*d)*(2*d + 3*d - 4*d) + 25*d**2 - 15*d**2 - 6*d**2 + 8*d**2 + 15*d**2 + 16*d**2.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1342, 2582, 3728, 4780, 5738?\n\"Answer: -47*o**2 + 1381*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6450 + -3253. List the prime factors of c.\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.029 at most as big as 132614\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 16*s - 2. Let l(z) = z + 1. Suppose 0 = -7*h + 2*h + 50. Let u be l(h). What is the remainder when t(u) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841*q = 136*q + 22560 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/104 and 83\/524.\nAnswer: 13624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + u - 5. Determine w(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:43 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = -12. Sort g, -5, 741.\nAnswer: -5, g, 741","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*a**2 - a**2 - 108 + 116 as p*a**2 + d + u*a and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -1\/420*i**5 + 0*i - 3 + 1\/3*i**3 + 1\/168*i**4 + 0*i**2 + 1\/2520*i**6. Let o(h) be the third derivative of l(h). Factor o(z).\nAnswer: (z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 3, w: 3, d: 3, b: 1}. What is prob of sequence vdk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 3, d: 1, c: 5, j: 7}. Give prob of sequence qc.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 6*q - 3. Let l(v) = -v**2 + v + 2. Let h be l(2). Let b = h + -4. Let c(p) = -32 - 2 - p**2 + 31 - 5*p + 1. What is b*o(r) + 5*c(r)?\nAnswer: -r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 134820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -453.7 + 480. Let f = -29 + s. Let h = f - -2.69945. What is h rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*(-299)\/52 + -24. Let c = 135 + 107. Calculate the highest common divisor of c and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142037 - 45*v**2 - 142037.\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + sqrt(1872)*1 - 2*sqrt(1872)*-1).\nAnswer: -6 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*v - 25, -3*f - 3 - 38 = v. Let c = 21 + f. Solve 4*i + 4*x - 2*x = 14, i = -x + c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 1550464104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 4*v**2 - 13. Let a(g) = 2*g**3 + 7*g**2 + 25. Let b(j) = -3*a(j) - 5*c(j). What is b(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Suppose d*i + 24 = 69. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*o = 1 - 16, 3*o + 15 = 0. Let m = f - 3. Let u = 12 - m. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 1, j: 1, z: 1}. What is prob of sequence lcj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -18*r + 207. Let s(y) = 19*y - 207. Let c(a) = 5*s(a) + 6*x(a). What is c(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5.9. Let b = x - 0.3. What is the biggest value in 3\/2, b, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 619 = -4*y + 7*w, 0 = 5*y - 2*w - 776. Suppose 159*x - 2680 = y*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110111111010 (base 2) in base 4?\nAnswer: 23313322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 11*y**2 + 11*y - 8. What is l(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 270 + 1082. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 7*j**2 + 4*j. Let d be s(-3). Suppose 0 = 9*z - 5*z - d. Let g = z - 4. Calculate the smallest common multiple of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -14177\nAnswer: 3\/14177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 86 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-224)*(3 + 10 + -3 + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 17 + 2, 0 = 4*o - 5*i - 47. Suppose -12 = -4*m, -t + m + 2 = -6. Calculate the lowest common multiple of t and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 131670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5412746, -5412733, -5412704, -5412653, -5412574?\nAnswer: -5412461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -788\/7 + 113. Sort 0.1, 1, t, -1\/3 in increasing order.\nAnswer: -1\/3, 0.1, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.4 (c) -1\/4 (d) 306.6 (e) -0.3 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94.195 + -94. Let i = c - 0.19500572. Round i to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -2 - -1) + (11 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 35*x - 7. Let m(s) be the first derivative of s**3\/3 - 9*s**2 + 4*s - 8344. What is -4*i(t) - 7*m(t)?\nAnswer: t**2 - 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1384, 5211, 11472, 20161, 31272?\n\"Answer: -c**3 + 1223*c**2 + 165*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-3 - (-2 - -1). Let w(k) be the second derivative of 3*k**4\/4 - k**2 + k. Is 17 a factor of w(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 0. Suppose -4*l = -h*k - 160 - 407, 2*k = 3*l - 427. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5766497 and 3025?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 10668765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6535986497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/4959776 and -23\/607572560.\nAnswer: 1215145120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94.91 - 95. Put -3, -2\/7, 4, s in decreasing order.\nAnswer: 4, s, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1267602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2. Let a = 11\/18 - 4\/9. Let b(j) be the second derivative of j - a*j**3 + 0 + 0*j**2. Give p(b(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 120828.\nAnswer: 1329108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/248 and 53\/5420536?\nAnswer: 5420536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256 <= 5871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5 + 5129*w**4 + 90*w**2 + 4549276*w - 3.\nAnswer: 40*w**3 + 61548*w**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -10*d - 105 + 3*d**2 + 1\/3*d**3. Calculate j(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12614 and 18020.\nAnswer: 126140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**3*u**3 - 59271*p**3*u - 3*p**2*u**3 + 45383*p**2*u**2 + 22*u**3 wrt p?\nAnswer: 24*u**3 - 355626*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3990\/11, -0.0886, -0.4, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2 - 5, -5*n + 85 = -14*r. Which is the nearest to r? (a) 2 (b) 3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 1 + 8 - 3*v. Let l be ((-8)\/12)\/((-6)\/72). What is s(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**3 + 4*y**2 + 0*y + y + 2*y. Let f be (-21)\/(-12)*(-16)\/(-4). Let m(x) = 11*x**3 + 9*x**2 + 7*x. Give f*z(t) - 3*m(t).\nAnswer: 2*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*b + 281*b = -2868. Let i = -293 - b. What are the prime factors of i?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1028*h - 362537 = -1035*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 6. Suppose -5*t - 35 = -3*p, 0 = -t - 2 - 2. Suppose -23 = -p*o - 13. What is the remainder when o is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 1}. Give prob of sequence sp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1677 + -2298?\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 616 and 3164?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*g + 18. Let y be (g\/1)\/(24\/(-32)). Let z be 2*(y\/(-2) + 4). Solve z*i = -4*x - 28, 3 = -2*i + 3*i - x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*h = 5*h + 5, 4*n = -5*h + 10. Solve -4*u + 5 = -n*d, 0 = 5*u - 2*d - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42046 + 40a?\nAnswer: -41939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(3 - 1) - -55. Suppose 2*m - p = 64. Is 36\/m - (-6684)\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 605311 - 11?\nAnswer: 605300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111 and 444?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - j + 9, 5*b + 6*j = 9*j - 37 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(9*u + 15*u - 25*u) + 9*u - 1 - 2*u + 0.\nAnswer: 8*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15da (base 14) to base 11.\nAnswer: 2a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d + 64 = 8*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 2. Let v be m(5). Suppose -3*g - 15 = -5*s, 0*s + 4*s - v = 3*g. Suppose 3*z - 4*a + 16 = -3, 0 = -z + s*a - 8. Sort 5, z, -1.\nAnswer: z, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmomccmccoccnmcnmzn. What is prob of picking 1 z, 1 m, and 1 n?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 21 + -1 + -15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**8\/84 + 4*t**7\/105 + 2*t**6\/15 - 8*t**5\/15 + 16*t**2 + 6*t. Let l(k) = 0. What is k?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.1. Let s = -1.4 - 1.4. Let n = z + s. Which is the third smallest value? (a) -1 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a - 112. Let u be s(19). Suppose u*x = 46 - 36. Let d(w) = w + 9. Let k be d(4). Solve x*q - k = 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63, 67, 83, 117, 175, 263, 387?\n\"Answer: x**3 - 3*x + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -9*b + 3*w, 19*b - 20 = 20*b + 2*w - 4 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + 4*c**2 + c + 5. Let y(m) = 5*m**3 - 11*m**2 - 3*m - 6*m**3 + 0*m - 4*m**3 - 14. What is 11*t(i) + 4*y(i)?\nAnswer: 2*i**3 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5800680 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15984 and 392580?\nAnswer: 58101840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**5\/120 - d**4\/12 - d**3\/2 - 2*d**2. Let m(j) be the first derivative of o(j). What is m(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/183 or 1?\nAnswer: 22\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 97 = -u + 100, -u + 2*u = 0. Let c be (-4)\/8*(1 - -3). Let g(w) = -w**2 + 6*w - 2. Let k be g(5). Sort -1, k, c, t in ascending order.\nAnswer: c, -1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7615540 is divided by 20254.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 4*g**5 + g**5 - 20*g**2 + 21*g**2 + (0 + 0 + g)*(g - g + 2*g**4).\nAnswer: -g**5 + 2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 155*n**2 + 505*n + 2904. What are the prime factors of f(152)?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (6 + 12 + -46)) + (-3 - (1 + -4))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 684 (b) -14 (c) 2 (d) 0.6 (e) 0.3 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20\/7 + -87\/28. Let y = -6.3 + -1.7. Let a = y + 6. Is a < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -551*t - 10*t**3 - 547*t + 1103*t as u*t**2 + l*t**3 + h*t + b and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r. Let c(u) be the first derivative of -1 + 3*u**2 - 6 + 2 + 2. Let k = 0 - 6. Calculate k*c(v) - 5*a(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*(((-4104)\/48)\/57 + (1 - -14)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-2)*((-8)\/(-13))\/(98\/(-49)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027483 to 6 decimal places.\nAnswer: -0.000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472 = 851*t - 17492 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 f when three letters picked without replacement from nnifzcf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + 267a62?\nAnswer: 267a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3 - 29*h**5 - 6*h**3 + 64*h**5 + 37*h**2 - 32*h**5 wrt h.\nAnswer: 180*h**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*j - 24*j - 38*j - j + j + 2*j + (j + 0 + 0)*(-1 - 2 + 2) + 1 - 1 + 2*j)*(-19 - 7 - 10).\nAnswer: 2592*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(192)\/sqrt(4) - sqrt(192)*-2)\/((-6*sqrt(160)\/sqrt(5))\/sqrt(8)).\nAnswer: -4 - 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - q - 3, -6*g + 3 = -2*g + q. Let l = 59 - 123\/2. Let b = 9\/4 + l. What is the nearest to g in b, -3, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 4*n - 2 + n**2 + n + 14*n + 0*n = 0 for n.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 16 - 4. Suppose r*x - 108 = 8*x. Let u = x + 45. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 4*c**2 + 4*c + 3. Let b be n(-2). Suppose -v - 5*x = 6 + 12, 0 = -5*v + 4*x - b. Let i(y) = -y + 0 - 3 + 5. Give i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1869713 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -21 - (-23 - (-18 - -8) - -14)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74232 - -160?\nAnswer: 74402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*r + 82, 10*r - 62 = 4*j + 12*r. Let w be (j\/3 - -2) + 4. Solve w = 2*q + q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + (8 - 1) + -17\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-13 - -10) - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 34 = 20*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(3\/(-2))\/((-30)\/(-20)). Let p = -0.5 - 2.5. Sort 0.5, -1\/7, i, p in descending order.\nAnswer: 0.5, i, -1\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/((-3)\/(-55)) - -1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 215448809 - -3454.3.\nAnswer: 215452263.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, c: 2, k: 2, v: 1, h: 3}. What is prob of sequence hhq?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 22. Suppose -5*d - i*p = -5 - 2, -5*p = -d + 7. Suppose -d*g = -6*g + 88. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4609620 to the nearest integer?\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62.46 + -61.46. What is the closest to s in -11.2, -4\/3, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(52)\/sqrt(2))\/sqrt(2))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 249036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 49*o**2 + 122*o - 253. Let m(n) = -n**2 + 53. Let k be m(6). Let x(s) = 17*s**2 + 41*s - 84. Let q(f) = k*x(f) - 6*i(f). Solve q(z) = 0 for z.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utu when three letters picked without replacement from fswutju.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 2*u - 2*p + 53, -4*p + 214 = -3*u. Let n be 3\/(u\/(-112) + 20\/(-70)). What is the highest common factor of 40 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8212, 8204, 8190, 8170, 8144?\n\"Answer: -3*f**2 + f + 8214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/80 + (-1)\/(-5). Let x be -25*9\/(-30) - 8. Which is the nearest to n? (a) 3\/5 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 3*g**2 - 3710*g - 14976. Determine q(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/24, 3, -2\/5?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045200082 rounded to six dps?\nAnswer: -0.000452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0534 - 0.0466. Let u be (-6)\/(-20)*(-10)\/(-24). Which is the second smallest value? (a) 4 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7807 is divided by 3797?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 2 (b) -0.04 (c) 0.04 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 4. Let p be g(-4). Suppose n + n = p. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2358933, -2358940, -2358947, -2358954, -2358961?\n\"Answer: -7*n - 2358926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 8*u**2 - 5*u + 14. Let s(o) = o**3 - 4*o**2 - 3*o + 8. Determine 3*d(w) - 5*s(w).\nAnswer: -2*w**3 - 4*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/10 and -81\/1109780?\nAnswer: 1109780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -3. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -118, -232, -346, -460, -574?\n\"Answer: -114*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -129158098 - -1?\nAnswer: -129158097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*v - 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*n - 555, 33*c + 125 = 28*c + 8*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b9 + 2c1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 10*i**2 - 5*i - 14. What is the remainder when a(7) is divided by 83?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r - 0. Let t be ((-30)\/12)\/(2 + 5\/r). Calculate the greatest common factor of t and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifikfiqfqexqexqifik. Give prob of picking 1 q and 2 e.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 + y - y)*(y**2 - 3*y**2 + y**2) - 6088*y**5 + 2*y + 12142*y**5 + 4*y**4 - 6071*y**5.\nAnswer: -22*y**5 + 4*y**4 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1049 + 1112. Calculate the highest common factor of 511 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13504 and -13513 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 7:57 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-4*sqrt(72)*5 + sqrt(72) - sqrt(72)) + 2)*-1)**2 + 3.\nAnswer: -1200*sqrt(2) + 28828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 327, 328, 321, 300, 259, 192?\n\"Answer: -a**3 + 2*a**2 + 2*a + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 - -5) - (-1145 + 1144).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*p - 96, 2*p - 7 = 1. What is the remainder when g is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 10*g + 6. Let x(z) = 3*z - 15. Let i be x(7). Does 9 divide n(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86122?\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c + 2 = 62. Let p = 4 - 2. Suppose -c*r = -3*m - 0*m - 17, -3*r + 13 = -p*m. Solve r - 26 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - 3*sqrt(65)*-5)\/((-1*sqrt(30))\/sqrt(6)).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136.019 + 136. What is the third smallest value in b, 2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -5*v. Suppose -6 = v*h + 4*t - 0, -3*h = -3*t - 15. Suppose -4 = p - 1. Put h, -4, p in decreasing order.\nAnswer: h, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23\/4 - -6. Which is the second biggest value? (a) -4 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l**3 - 3*l**2 + l + 2. Let v be c(2). Let z = -29 - v. What is the remainder when z is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 21*y - 45. Let k(m) = -10*m + 23. Let l(j) = 2*f(j) + 5*k(j). Let b be l(13). Let x = b - -97. Calculate the remainder when 35 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2449652245 and -1.1.\nAnswer: 2449652243.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -759, -1327, -1905, -2499, -3115, -3759, -4437, -5155?\n\"Answer: -l**3 + l**2 - 564*l - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 1659.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1754\/7 or 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/9 - 874\/1449) + 1030880\/13265.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/135*45\/15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684496.34 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -715.\nAnswer: 357.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3*g**2 - 2*g - 4. Let a be v(-3). Let t(j) = 6*j**3 + 0*j**3 - 7*j - 4*j**3 - j**a + 5. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*4\/(-16)*(-1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5175?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554675?\nAnswer: 5, 11, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 399*h**4 + 4*h**3 - 4*h**2 - 6. Let n(y) = -y**4 - y**3 + y**2 + 3. Let w(g) = j(g) + 4*n(g). Find the first derivative of w(s) wrt s.\nAnswer: 1580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27911815 to the nearest integer?\nAnswer: 5283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 p when four letters picked without replacement from {b: 2, v: 2, u: 3, c: 1, p: 7, n: 3}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/18 - (-2)\/(-3). Suppose a = -3*t + j + 1, -6*t + 8 = -2*t + 2*j. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 6*y + 58. Let g be i(5). Let v(p) = -p - 1. Let x be v(-3). Solve -x*s = g*z + 16, 3*z + z + 8 = 4*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - 4*s**2 - 2*s + 1. Let r be y(-2). Suppose r*n - 599 = 96. Suppose n = 3*o - 4*i, -4*i + 2*i + 115 = 3*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 5. Let k(r) = -r + 1. Calculate -a(i) - 3*k(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let b(d) = 3*d + 1. Let p(t) = b(t) - 4*n(t). Let m(h) = h - 4. Suppose 2 + 0 = 2*l. Let q be 7 - (8 + (-7 - -3)). What is l*m(j) + q*p(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2 - (1 + 6)) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 102333?\nAnswer: -102320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 97*s**2 - 2*s + 3. Calculate j(1).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 12619 - 1821*c**2 + 12619)*(2*c - 2*c + c**2).\nAnswer: -1821*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 1, x: 1, a: 2}. What is prob of sequence xt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727119.3 months to decades.\nAnswer: 6059.3275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803872.\nAnswer: 2, 25121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(20\/210)\/(4\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62952.\nAnswer: 2, 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.29 + -0.71. Which is the smallest value? (a) -0.5 (b) 0.1 (c) q (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**3 - 1373*y**2 - 5991*y wrt y?\nAnswer: 6*y - 2746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*h + 24, -b + 3*h + 4 = -0. Let o = -18 - -26. What is the remainder when 7\/(-3)*(b + 2) is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 2*f**2 + 24*f + 25*f + 2*f**2 - 60*f - 4*f**3 to the form q*f**2 + h*f**3 + r*f + y and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697 a factor of 319462928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*o**2)*(-2*o**3 + 2*o**3 + 2*o**3)*(-44 + 17 + 52).\nAnswer: -200*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -167*s**2 - 370*s + 8. Let d be h(-6). Is -3782 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8*t**2 - 6*t**2 + 1 - 10*t + t**2 as w + q*t + i*t**2 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 5*l + 11 = 0, 9 = -3*h + 3*l. What is the closest to h in 11\/5, 2\/15, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -549*r - 48329. Give o(-88).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = f + 2*s, 3*s - 4*s - 3 = 3*f. Let t = 0.3 + 0. Put t, 1\/10, f, -4 in decreasing order.\nAnswer: t, 1\/10, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*i + 47 + 13, i - 5 = -f. Solve -a + 3*a = -i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.15 plus 997.9?\nAnswer: 1001.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001 - 10110101?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 0.15. What is the third smallest value in w, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 4*a**3 - 3*a**2 + 3*a**2.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poi when three letters picked without replacement from gvvdvgvipiiipgiovvp?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7927960, 15855924, 23783902, 31711900, 39639924, 47567980, 55496074, 63424212?\nAnswer: 71352400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -20, -20, -8, 22, 76, 160?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 3*a - 7. Let d(r) = 5*r**2 - 8*r - 20. Determine -6*d(w) + 17*v(w).\nAnswer: 4*w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111110 (base 2) in base 15?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 + 6*a + 7. Let o be l(-5). Suppose -13 = -o*s + s. Suppose -3*m + 455 = 2*m. What is the greatest common divisor of m and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.208741 rounded to one dp?\nAnswer: -30.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 0, 3*h - 1 = -3*c + 5*c + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65539185 divided by 1\nAnswer: -65539185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (454 + 378 - 1535)*(2*g + 5*g - 5*g)*(-3 - 1 + 2).\nAnswer: 2812*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 3145762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(11\/7)\/u**(-5\/3) assuming u is positive.\nAnswer: u**(68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 2*a**2 - 13*a + 25. What is the remainder when 36 is divided by s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 82*t + 219. Let m(z) = -124*z - 328. Let k(b) = 7*c(b) + 5*m(b). What is the tens digit of k(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15873 - 17*k**2 - 3788*k - 15873 + 19*k**2 to the form l*k**2 + d + s*k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + sqrt(22)\/(sqrt(2)*1)*-6)**2 - (-2*sqrt(891)*5)**2*1*-5.\nAnswer: 48*sqrt(11) + 445913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1941\/755 - 3\/5285. What is the nearest to 2 in 3\/7, 0.2, j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -28 + 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36.29*4\nAnswer: 145.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9475501 and 5020.\nAnswer: 189510020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/7)*p*p)\/p*p*p**(-9))\/(p**(2\/13)\/p**(-5)) assuming p is positive.\nAnswer: p**(-1067\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from iiiiiddlggdgi.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.02626, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-7 + (-8 - -21))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 295097220 and 86394?\nAnswer: 2065680540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 27 + 7 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -8, -11, -14, -17, -20?\n\"Answer: -3*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940*a**2 + 7569344 - 1658*a**2 - 7569344 - 268*a**2.\nAnswer: -2866*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 8. Let h be g(0). Suppose -h*r + 6*r = -4. Let m(b) be the second derivative of b**5\/20 - b**4\/12 - b**3\/3 + b**2 - 4*b. What is m(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 196*d**2 + 4600*d + 10000.\nAnswer: 2*(d - 50)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1.53 (c) -0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by 1\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*i + 424 + 2232. What are the prime factors of i?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 26*r**2 - 54*r + 19. What is the remainder when n(11) is divided by 42?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/25 and 13\/450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 6:14 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -5*q + 6*q + 5*b, -707 = 5*q + 3*b. Let p = q + 208. Suppose -v - p = -0*z - 2*z, 3*z = -3*v + 126. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-6)\/k)\/k**20)\/(k*k**(2\/7)\/k*k**(-1\/4)))**(-2\/49) assuming k is positive.\nAnswer: k**(757\/686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 44*d + 17. Suppose -7 = -3*t + 2. Let y be g(t). Let i(k) = -70*k**2 - 77*k**2 + y*k**2. Let w(c) = 32*c**2. Give w(i(r)).\nAnswer: 128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3250330435 + -1?\nAnswer: -3250330440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 24200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 + -234. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 138297640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -276 + 150. What is the tens digit of (210\/x)\/(5\/(-1011))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*i - 389 - 9 - 637 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48949365?\nAnswer: 3, 5, 3263291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54942148 and 1977?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4, 0 = -6*m + m + u + 124. Suppose 0 = -4*t - 0*t - m. Let p(j) = j**3 + 6*j**2 + j + 1. Give p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1, 0.057?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -140, -382, -840, -1586, -2692?\nAnswer: -4230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.96 and -1.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6668 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 0*l**3 + 9\/2*l**4 + 0*l**2 + 13*l + 41. Differentiate w(j) wrt j.\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12046968 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 25647*y.\nAnswer: -3*y*(y - 8549)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4686 and 1122.\nAnswer: 79662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/14 - 10*g**3\/21 - 8*g**2\/7 - 8*g\/7 + 3. Factor w(c).\nAnswer: -2*(c + 1)*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*c + 2*u, -2*c + 4*u = 5*u - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 332942*c\/7 - 1331800\/7.\nAnswer: 2*(c - 4)*(c + 166475)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 65 - (-3)\/(-2)*40\/30. Let p = -66 + c. Sort -5, 5, -1, p.\nAnswer: -5, p, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 350371205 = 145*t - 493243795. What is t rounded to the nearest one hundred thousand?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24, 22, 18, 12, 4?\n\"Answer: -v**2 + v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -0.5, -44, 0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, 3\/82, 21?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45249, 45242, 45229, 45210?\nAnswer: 45185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6828072 - 1.117\nAnswer: -6828073.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 21*i**2 + 16*i**2 + 5*i**2 + 13*i**2 + 12*i**2 - 33*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80990421.25001126 - 80990422. Let n = o - -0.75. Round n to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 410*c**3 - 4095*c**2.\nAnswer: 5*c**2*(c - 91)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 5\/(8 - 3). Solve -6 + t = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1344, -2566, -4604, -7458, -11128, -15614?\n\"Answer: -408*f**2 + 2*f - 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -355*j**2*v - j*v - 1267*v wrt j.\nAnswer: -710*j*v - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/3 - 28*g\/3 - 1472\/3.\nAnswer: 4*(g - 23)*(g + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4. Let k be (n + -6)*(-1)\/2. Solve 0*w - k = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -238 - -460. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/(-30)*30\/12. Suppose 4 = -x + 7. Let r(i) = -i**3 + 2*i**2 + 4*i - 2. Let g be r(x). Sort 7, g, y, 4.\nAnswer: y, g, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-8)\/12)\/((-5)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86, 94, 106, 122, 142, 166?\n\"Answer: 2*o**2 + 2*o + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24546?\nAnswer: 2, 3, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 413, 828, 1243, 1658, 2073, 2488?\n\"Answer: 415*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqffqqffffffdoqx. Give prob of picking 1 f and 1 o.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/54)\/1)\/(2\/15)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 35*m - 58. Let g be s(9). Solve -10 = -g*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u - 71*u + 7*u in the form f*u + o and give f.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 = 11. Let z be (-8)\/12 - 2\/c. What are the prime factors of (2\/3)\/(z\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**5\/20 - r**4\/2 - 5*r**3\/3 - 2*r**2 - r. Let k be -2 - (-11)\/(-3) - 160\/(-240). Is c(k) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12803 and 1652?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n)*(13 - 9 + 1)*(-3268 + 1413 - 2*n + 1664).\nAnswer: -20*n**2 - 1910*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y*y**0)\/(y**(1\/2)\/y*y**(-2\/7)*y) assuming y is positive.\nAnswer: y**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(-1\/19)*k)*k))\/k)\/k**(8\/3) assuming k is positive.\nAnswer: k**(-212\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11306, 24539, 37770, 50999?\n\"Answer: -p**2 + 13236*p - 1929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -735*j + 9 + 1631*j - 795*j + (2 - 2 + j)*(3 - 3 - 2) in the form q + s*j and give s.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6564719 litres?\nAnswer: 656.4719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 214026 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 4, -2, -21\/10, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 5*z - 0*z + 13, 4*s + 4*z = 28 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 453137197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 595\/(-34)*8\/20 + 2695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2602 - -0.7602. Sort 0.2, -3\/5, h, -7.\nAnswer: -7, -3\/5, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -319, -329, -343, -361, -383?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -24. Let n be 4\/s + (-176)\/(-77). Suppose 0 = -n*f - 2*f + 192. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1828, -3638, -5406, -7108, -8720, -10218?\n\"Answer: 4*n**3 - 3*n**2 - 1829*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19217 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28889.\nAnswer: 7, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 2, n: 3, m: 4}. Give prob of picking 1 n and 1 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-10))\/((-120)\/16))\/((-7)\/(14\/2))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 52*v**4\/5 - 848*v**3\/5 + 1556*v**2\/5 + 1784*v\/5 - 672\/5 = 0. What is v?\nAnswer: -1, 4\/13, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 324*s. Let u(i) = -2*i + 4*i - 7*i + 4*i. Give a(u(f)).\nAnswer: 2*f**2 - 324*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*l - 1859784, -2*m = l + 320955 + 608938. Let q = 1629897 + l. What is q rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 2*u. Let k(i) = i**2 - 2*i**3 + 1 - 3*i - i**2. Suppose -35 = -c - 37. Let j(p) = c*k(p) + 3*v(p). Differentiate j(t) with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -1\/3*r**3 + 4 + 0*r**2 + 0*r. Let v(w) be the first derivative of w**3\/3 + 2. What is p(v(k))?\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22 - -0.4. Let s = v - 0.58. Suppose -c + t = 5*t + 7, 2*c + 2*t - 4 = 0. What is the closest to -0.1 in c, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/483287?\nAnswer: -1\/483287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 1.4, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 325687 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -l + 5*n, -5*l + 28 = -n + 2*n. Let q(j) = 3*j - 8. Let k be q(l). Let i be (-2 - (0 + -1))*-5. Solve -i*v = -3*v + k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -8.1. Let m = -3 + 7. Is d at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -1, -4, 0.2, 8 in descending order.\nAnswer: 8, 0.2, -1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-8\/15)))\/n*n)\/(n\/(n**(18\/7)*n)*n)*(n\/(n*n*(n*(n\/n**18)\/n*n)\/n))\/n*n*n**(2\/13) assuming n is positive.\nAnswer: n**(24923\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24890 divided by 95?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2. Let z(m) = 2*m + 526013. Calculate z(v(n)).\nAnswer: 10*n**2 + 526013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**2 + 98. Let q(g) = 363*g. Calculate q(f(n)).\nAnswer: -726*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/2*(-8)\/8. Let s = b + 6. Let g be (-10)\/8*-2*2. Solve 0 = 5*j + u + 8, -5*j + g*u + s = -8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/((-16)\/933))\/(2 - -1). Let f(b) = -31*b + 1. Let n be f(-2). Let c = n - w. Find the common denominator of -75\/2 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 541 divide 171080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7 + 1 - 3 - 5*g - 3. Let v(n) = -16*n + 7. Give 14*o(t) - 4*v(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + s + 3. Let o be (-1 + -1)*-2 - 6. Let z be (0\/3)\/o*-1. Suppose 5*y - 2*g = -7*g - 20, -2*y - 4*g - 10 = z. What is i(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -6\/13 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 11*a**2 - 145*a + 313. What are the prime factors of x(30)?\nAnswer: 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0) + -2 + 713 + 0. Suppose -4*l + u = -3*r + 4*r, l - 5*r = 167. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.676 - 392.676. Let v = -392.01454 - o. What is v rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 - j**2 - 4*j**2 - 5*j**2 - 2*j**2 + 0*j**2 + (-4 + 1 + 2)*(7*j - 3*j**2 - 7*j) in the form m*j**2 + v + b*j and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 5*r + 7*r - 11*r**2 as o + t*r**2 + p*r and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = s - 5*h - 6, 4*h + 10 = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 62 + 3 = 0. Suppose 3*r = 4*f - 20, -r + 6 = p*f - 0. Solve -4*w + f*w - 3*i = 6, -3*i - 6 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 12 - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + y - 18 = -y, 2*r = -2*y + 12. Find the common denominator of r and -83\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 3*f + 7, -10638*i - 23 = -10641*i + 5*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*r + 87*r = -422368. List the prime factors of r.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-15)\/(-3) + (-2 - (-64 - -16) - 53).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484185 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 5*j + 7 = -3, -4 = 2*j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2 = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1516 + -3ab?\nAnswer: -18c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 2990.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1283784, -1283785, -1283786?\n\"Answer: -f - 1283783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 197339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 71. Let y be r(-18). Suppose -y + 203 = 21*j. Solve -g = -j*g + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010222101110 (base 3) in base 15?\nAnswer: c09d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-627)\/380*(-144)\/(-176)*-2?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 14) to base 9.\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -520 (base 14) to base 11\nAnswer: -837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2*l + 8 = 0, -2*n - l - 30 = -29 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:40 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2 - 4135252*j - 28946715 = 0.\nAnswer: -4135245, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -2864.\nAnswer: -2869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -642\/5 - -129. Let i = -94 - -97.86. Let v = -1.14 - i. What is the nearest to 0.1 in 4, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/107208 and 149\/468.\nAnswer: 1393704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {k: 4, a: 1, p: 2, z: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 9*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77.6978 + 0.0022. What is n rounded to zero dps?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110100001101000 (base 2) in base 13?\nAnswer: 175946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 21 = -3*f, -4*h - f = -0*f - 67. Let v(d) = 5*d - 22. What are the prime factors of v(h)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -434 + 3.\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c - 19?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1721 + -1711 + (-1 - 53).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h. Let l(x) = -x. Let a(w) = 5*l(w) + z(w). Let c(o) be the second derivative of -5*o**3\/6 + 5*o. Determine a(c(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 497882 and 146278?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 - 4*o + 3. Let y be t(0). Let k(l) = 6*l**3 - 2*l + 22. What is the hundreds digit of k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2063990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**4\/4 + 5*a**3\/3 + 3*a**2 + 3*a + 1. Let k be 30\/(-4)*16\/(-20). Is w(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -11.9.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2))**(-14)\/((u\/(u\/(u\/(u**(-6)\/u))))\/u)**(2\/3) assuming u is positive.\nAnswer: u**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (135\/36 + (-3)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 3. Let j be u(2). Let s be (-33)\/(-22) - j\/(-2). Solve 2*y - 4*l - 20 = l, -4*l + 17 = s*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14544629 is divided by 1046.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r - 157. Let q be j(31). What are the prime factors of (-2 - (-5 - q))*408?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1099*h**5 - h**2 + 393*h?\nAnswer: -65940*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -2449, 6.5 in decreasing order.\nAnswer: 6.5, -0.4, -3, -2449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4438184237 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 811 + -8149\/10. Calculate the common denominator of 65\/4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqa when three letters picked without replacement from baqakmk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -117.76 and 0.019.\nAnswer: -117.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 50856681 divided by -1429\nAnswer: -35589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, a: 1, c: 1, s: 3, p: 2}. Give prob of sequence pj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1734562\/11, -0.1, -5 in decreasing order.\nAnswer: -0.1, -5, -1734562\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 1 + (-2 - -3). Let z be ((-732)\/2)\/((-45)\/(-60)). Let y = z + 491. Solve y*r - t = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.84836 to 2 dps.\nAnswer: 2.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -7. Let j = 20 - b. Let s be (-5)\/(-4)*4\/10. What is the nearest to -1 in -3, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*d**2 + 2245 + 7*d**3 - 22*d**3 + 16*d**2 + 21*d**4 - 2108 wrt d.\nAnswer: 84*d**3 - 45*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 3476*f**2 + 3476*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/52 and 5\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from mjmjlmlmjm.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/27))**16)**(-48) assuming o is positive.\nAnswer: o**(-256\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1 + (-57)\/(-33))\/(27\/(-18)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78\/14 - 4\/7. Solve -4*h + 15 = -2*g + 3*g, -2*g = a*h - 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -33*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36867951, -36867950, -36867949?\n\"Answer: j - 36867952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564546 (base 9) to base 12.\nAnswer: 143706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2856 and 7596280?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187 + 266. Which is smaller: x or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 0 - -3 - 1347. Let k = f - -9405\/7. What is the common denominator of -35\/6 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 19. Let f be b(-13). Let w = f - -2. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5439336, -5439292, -5439220, -5439120, -5438992, -5438836?\n\"Answer: 14*f**2 + 2*f - 5439352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45203, 45216, 45241, 45284, 45351, 45448, 45581?\n\"Answer: d**3 + 6*d + 45196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 37. Let f be p(-13). Suppose 6 - 39 = -f*z. Solve -5*y + 2*w = -w - 25, -z*w = 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4 + 6 = 0. Suppose 5*i - t*f = 2*i - 23, 0 = 4*i - f + 24. Which is the closest to 2\/3? (a) i (b) 1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 23*g + 74. Let z(n) = 8*n + 25. Determine 6*f(i) - 17*z(i).\nAnswer: 2*i + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.68 - -412.69.\nAnswer: 416.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((3\/54)\/((-8)\/(-36)*-3))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 1c?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652*b - 653*b + 19 = 5*v, 0 = -v + 4. Suppose 0 = -x - 4 + 5. Which is bigger: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -24. Suppose 21 = 5*h + 4*i, -4*i = -4*h + i - l. Which is smaller: 1\/7 or h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-6)\/(-36)*1\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46371 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -6 + (3 - (5 - 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -0*d - 5*d. Suppose 3*l + 22*m - 19*m = 0, -4*m = -3*l + 14. Suppose -k - l = -d. What is the highest common divisor of 90 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -3. Let b = 3 - 13. Let a = b - s. Put -3, a, -5 in ascending order.\nAnswer: -5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 + 2*r**2 + 5*r**2)*(30 - 4*r - 29 - 42*r**3 + 25*r**3).\nAnswer: -17*r**5 - 4*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2800401903 + 1242858045. Let c = 1557543869.00000007 + o. Let h = -11 + c. What is h rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*m - m = -4499, -o + 4*m + 1493 = 0. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103891.3 to the nearest ten.\nAnswer: 103890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15\/64 - 1\/64. What is the second biggest value in 0, 2, y, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.5 + -2.5. Let y = x + -14. Let d = 3157\/8 - 395. Which is the nearest to 0.2? (a) -1 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218\/((-1485016)\/(-1965))*4\/(-3)\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 = -0*t. Suppose 3 = 3*j - 3*l, -t*j + j + 3*l = 0. Suppose 0 = -2*f + 1 + j. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119 - 175. Let d = g + 506\/9. What is the nearest to 4 in 0.4, d, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -776*p**2*w + 5*p*w - 3*p - 5*w wrt p?\nAnswer: -1552*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 22953224\nAnswer: -22953225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v + 27*v + 943730*v**2 + 3*v**3 - 18*v**3 - 943730*v**2.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21982965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*r + 25*r**2 - 69*r - 883 + 863.\nAnswer: 25*r**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 1 - (4 + 22).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*j - 334*j - 3305 - 115 = -632*j for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 3:00 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*r - 56 + 294, d = -4*r + 82. Find o, given that -d*o**2 + 2*o**3 - 9*o + o - 23*o**3 + 32*o = 0.\nAnswer: -4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s + 521371 = 91*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02367 + 0.22367. Let h be 3*((-2)\/39)\/(-1). What is the closest to c in 0, h, 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 3\/5 (c) 7 (d) -0.011\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5127757 + -2.259.\nAnswer: -2.7717757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(16\/5)\/a**(-5) assuming a is positive.\nAnswer: a**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 25*u - 140. Suppose 122*c = 121*c + 4*y + 16, -3*y + 16 = c. Determine p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.63529393 - 19.\nAnswer: -16.36470607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2. Let c(z) = -4*z**2 + 4*z + 4. Let t(i) = 4*i**2 - 3*i - 3. Let k(u) = 3*c(u) + 4*t(u). Calculate k(w(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 4650\/(-1575))\/(-1)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 342508560 to the nearest 1000000.\nAnswer: 343000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 7:07 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, -118, -1897 in increasing order.\nAnswer: -1897, -118, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.803578 rounded to 2 dps?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5141 times 17.06?\nAnswer: -87705.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)\/(m**6\/m*m))**(3\/11) assuming m is positive.\nAnswer: m**(-27\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 44 = -6*f. Let r be f - 2 - (-104)\/13. Solve 11 = 4*y + i, -2*i = -2*y - 2 - r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o - o + (-2*o + 0*o + 0*o)*(14 + 108 + 66)*(-1 - 2 + 10).\nAnswer: -2633*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/32 and -13\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 3*n - 4. Let c be f(4). Let a(q) = -q**3 - q - 10. Determine a(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*z = -61 - 83. Determine a so that 3*a + 3\/4*a**z + 9\/4 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207136 - 343?\nAnswer: 206573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4277*b*z**3 + 2*b*z**2 + 47*b + 61*z**3 + 45*z**2 - 108*z wrt b?\nAnswer: -4277*z**3 + 2*z**2 + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -51, -178, -429, -846, -1471, -2346, -3513?\nAnswer: -5014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -496 - -567. Let m(d) = -3*d + 183. Calculate the remainder when m(-13) is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 + 0*d**2 - 3*d**2 + (-112*d + 4 - 82*d + 248*d)*(1 - 1 + 2*d) to t*d**2 + l*d + j and give t.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 46*j + 35 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 29 - 21 = -5*l, -4*l = 5*o + 50. What are the prime factors of 8\/20 - 86\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.37383 to two decimal places.\nAnswer: -2.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 3*s**3 + 2*s**3)*(5*s**2 + 17*s**2 - 9*s**2) - s**5 + s**4 - s**4 + 23*s**5 + 2*s**5 - 7*s**5 + 2*s**5 + 0*s**5 - 4*s**5.\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**3\/7 + 24*q**2\/7 - 12*q\/7.\nAnswer: 3*q*(q + 2)*(5*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 20. Let y be ((-8)\/40)\/(2\/j). Let h = 12.99 + -13. Sort 1\/5, h, y in decreasing order.\nAnswer: y, 1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 870 and 588410?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 43. Let l be t(23). Suppose 0 = -l*w + 153 + 1128. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27037491 and 9594?\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 5*i**2 + 5*i - 6. Let t be k(-6). Which is bigger: t or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5047?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 4. Suppose 69 - 14 = 5*t. What is the remainder when t is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z**2 - 5*z + 8. Let n be q(4). Suppose -5*k + 4 = -u - 1, n*u = 4*k + 12. What is the biggest value in -5, u, 1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111048551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -10. Suppose 2*l + 23 = 6*l + j, 0 = -u*l + 5*j + 5. Let i(x) = -2*x + l - 2 + 2 + 1. What is i(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(539))*1 + (6*(sqrt(121) + sqrt(121)*-1))\/(-4*sqrt(11)*1).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s**4 + 2 + 22*s + 5*s**3 - 45*s + 25*s to h*s**4 + y*s**3 + w*s**2 + p + v*s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 364.\nAnswer: -5460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 306775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.38549 decades to millennia.\nAnswer: 0.0338549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*g + 4)*(16 + 19 - 32)*(6*g**4 - 2*g**4 - 2*g**4) - 2*g**5 + 0*g**5 + g**5 + (-2*g + 0 + 0)*(-18*g**4 + 32*g**3 - 32*g**3).\nAnswer: 47*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 7:57 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-91) + 457\/(-13). Find the common denominator of (3\/2)\/((-45)\/(-321)) and 94\/(-25)*f\/28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (-1*sqrt(192) + 2))**2 + 1)*-5.\nAnswer: -3865 + 320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1602 and 168?\nAnswer: 44856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25510 + -25502. Calculate the highest common factor of z and 326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t. Let f(s) be the third derivative of -s**4\/6 - 11*s**2. Determine f(p(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 8052486?\nAnswer: 8052487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27b - 228?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11054303 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*w + 1419813, 13*w - 2839636 = 9*w + 4*j. Let t = w - 1719904. What is t rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:14 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*d*o**4*t + 2940*d*o + 27*d*t + d - o*t + t + 157 wrt o?\nAnswer: -32*d*o**3*t + 2940*d - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(3 + (-2 + -4*(sqrt(1539) + 1) + sqrt(1539))*-3 + 4)**2.\nAnswer: -751704 - 24300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2 - 2)*(3 - 5 + 5 + (2 - 1 + 0)*(1 + 0 + 0)) + (236*g + 148201 - 148201)*(-7 - 3 + 4).\nAnswer: -1412*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -4, 878, 4, 0 in descending order.\nAnswer: 878, 4, 0, -4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11*w - 20*w - 45*w - 6 - 13*w. Is l(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 773148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1938.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3191 - 38383\/12. Find the common denominator of i and 105\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.0416 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 16 = -2*l, -2*l + 252 = -4*v. Let k = -21 - v. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*2*1\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*h*j**4 + 10*h*j**3 - 2*h - 281*j**4 - 45038*j**2 wrt j.\nAnswer: 1488*h*j + 60*h - 6744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4 = -4*n. Suppose -1 + n = c. Let q be c\/((5\/2)\/5). Solve 0 = m - 2*m - q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**4 + 3*s**5 + 5*s**4 + (1 - 1 - 3*s)*(25*s**4 - 21*s**4 - 43*s**4).\nAnswer: 120*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1*336.526\nAnswer: -336.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 5608 in increasing order.\nAnswer: -3, -1, 5608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4730.096235 rounded to 1 decimal place?\nAnswer: -4730.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 30*b - 5. Give i(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -15. Suppose -z - z = -4*x + 10, -z = -x + 3. Let f be (-1)\/(z\/(-4)*-2). Solve -u*g + 12 = -f*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.7 less than -139818?\nAnswer: -139857.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + 2 - (6 + -1). Let s be (-13932)\/36*1*(-2)\/p. Suppose -2*x = 3*n - 225, 4*n = 4*x - 3*x - s. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129 times 4\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1935253\/10 + 193368. Let n = o - -311\/2. Which is greater: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 482*v + 471. What is h(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185868 is divided by 18578?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n - 158. Give u(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -50. Let x = i - 38. Which is the nearest to x? (a) 1\/2 (b) 1 (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68267 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2)*(-2*v + 2 - 2)*(1 + 218*v + 220*v**2 - 437*v + 221*v).\nAnswer: -1760*v**3 - 16*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 217134 = 73589. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1048 + -1046.436. What is m rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3368 and 16.\nAnswer: 6736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2915.14 to the nearest 10.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 169536*o - 169540*o - 64 = 0, 0 = -4*o - 80 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 + 2)*(0*y + 3*y - 5*y) - 13 + 13 - 5*y)*(-y + 50014*y**2 - 14*y - 50018*y**2).\nAnswer: 36*y**3 + 135*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/19 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2\/4 + 4216695*q\/4 = 0.\nAnswer: 0, 1405565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124\/59 - 2347\/708. What is the common denominator of t and 29\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -10327?\nAnswer: -10323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 244?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - s**2 + 17*s + 7. Let f = -160 - -155. Let j be g(f). Calculate the highest common factor of 176 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9583166599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5118 take away -0.076?\nAnswer: 5118.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2190821\/315948 - -784\/113. Calculate the common denominator of -45\/44 and v.\nAnswer: 30756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**4 + 0*p**4 + 2*p**4)*(3*p + 5*p - 6*p)*(-23 + 21 - 15).\nAnswer: 102*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 147617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020*c + 1049*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 27*d**2 + 428*d + 37. What is o(-16)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 8. Let a be i(-4). Suppose 123 - 7 = a*m. List the prime factors of 1 + (m - (2 - 1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 12642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270166*x - 269114*x + 536887*x.\nAnswer: -2393*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11724 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from eocyceoyc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2406400 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (509*h - 15*h - 167*h)*(-4 + 3 - 1)*(-2*h**2 + 0*h**2 + h**2).\nAnswer: 654*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012759 rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 1:47 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -10\/9, 2\/87, -3\/2, -2.6, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29862, 119493, 268888, 478047, 746970?\n\"Answer: 29882*v**2 - 15*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 - 175. Let c be l + (-24)\/(-15) + (-6)\/(-15). Solve -x = -0*x - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 b when four letters picked without replacement from lddvvvdllb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26603486.\nAnswer: 2, 7, 13, 146173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 12:08 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c55 - 2?\nAnswer: -1c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160827?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -22*j + 306. Let s be i(14). Suppose 0 = -3*o + 3 + 3. Sort o, 5, s.\nAnswer: s, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y + 10. Let d = 102 - 95. Let b(f) = 10*f + 11. Let n(r) = d*l(r) - 6*b(r). Give n(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 0.4 (c) 0 (d) 0.3 (e) 22981\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 389, 544, 681, 794, 877, 924?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5 + 10*h**4 + 58*h**3 - 146*h**2 - 416*h - 224 = 0. What is h?\nAnswer: -4, -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 615 and 73006035?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20377 is divided by 1072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != -129\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 85 = -4*w, -10 = -0*s + 2*s. Suppose 0 = 3*b + w*b. Solve -43*h + 42*h = b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3309361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 divided by -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 337603999801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 5*z**2 - 4 - 12 + 4*z**2 - 8*z. Let f be c(-8). Let o = 2\/5 + 0. Which is smaller: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102519983*c**3*v*x**2 - 436*c**2*x**2 + c*v*x**2 + 3*c*x**2 + 76*x**2 - 12 wrt c.\nAnswer: 615119898*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (9 + -26 + 40) - -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 293, 309, 329, 347, 357, 353?\n\"Answer: -f**3 + 8*f**2 - f + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4318967365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.7 + -45. What is the nearest to -1\/4 in -4\/11, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42ba5 + -2?\nAnswer: -42ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 3*x**2 + 9*x + 2819. Let i(m) = -5*m**3 + 7*m**2 + 21*m + 5635. Determine 7*g(v) - 3*i(v).\nAnswer: v**3 + 2828","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*z + 28, 3*p - z + 11 = 6*p. Suppose -5*j + l + 1 = -9, -j + p = -2*l. Solve b + j*b = -6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101299 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from bpemu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 12*v - 5*v - 2 - 3*v in the form g*v + o and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 132000 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, x: 4, m: 4, z: 3, w: 1}. What is prob of picking 1 z, 2 m, and 1 x?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*c**3 - 17*c + 17*c)*(3*c - 4*c**2 - 3*c).\nAnswer: -76*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 891.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -10696203243 and -1.\nAnswer: -10696203244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -42.76. Let x = 0.26 - y. Which is the third smallest value? (a) -3 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - f - 7244 = -1106, 0 = -2*f + 4. Suppose 3*b + 359 = v. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 - -8)*(-9)\/6. Solve c*p = -52 + 43 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65195786?\nAnswer: 2, 193, 168901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -15. Suppose -4778 = 374*f - 5900. Which is the smallest value? (a) i (b) -2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.782388 years to decades.\nAnswer: 0.6782388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 166.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40023 or 39994?\nAnswer: 40023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a - a + 7*a + (-4 + 1 + 2)*(2*a - 1 + 1) + 0 + a + 0 - 556 + 556 + 23*a)*(-4 + 6 + 0) to the form m*a + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*-4*(-28)\/70?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 373, 554, 731?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**4 - 8*z**4 + 212 + 6*z**4 - 91*z**3 - z**2 - 208 + 3*z to y*z**4 + h*z + w*z**3 + u*z**2 + p and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 17. Let a(l) = -l + 1. Let g(t) = 7*a(t) - p(t). Let b(q) = 0*q + 2 + q - 2. Give b(g(v)).\nAnswer: -7*v - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 5*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 13. Let l be p(-11). Suppose a - 6*a - l*v - 15 = 0, v = 0. Let q = 34 + a. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/28 of a week in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away -191581842?\nAnswer: 191581832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2408 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-3)\/((-2)\/((-8)\/(-12))))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 21088285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 411, -28, -4 in ascending order.\nAnswer: -28, -6, -4, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + k + 7. Let n(j) = -j**2 - 1. Let i = 1820 + -1826. Calculate i*n(h) - z(h).\nAnswer: 3*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2. Let p(i) = -1574*i - 35. Let s(r) = -2362*r - 55. Let u(l) = -14*p(l) + 9*s(l). Determine a(u(o)).\nAnswer: 1210568*o**2 - 15560*o + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (312\/1170)\/((-6)\/225)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*q + 31*q + 254 + 42. What is the remainder when 162 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 3853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttctcccccc. What is prob of picking 2 c and 2 t?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - 99. Sort k, 2, -3, 17, -4 in descending order.\nAnswer: 17, 2, -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - c + 4836, -31*q - 19*c + 49956 = -14*c. What is the remainder when q is divided by 802?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214679987 to the power of 1\/2, to the nearest integer?\nAnswer: 14652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1089)\/(-1815))\/((7\/15)\/1).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 1. Let d(q) = q**3 + 9*q**2 + 2. Let o be d(-9). Let v be u(o). Let c(l) = l**2 + 6*l + 2. What is c(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005981 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 0 (b) -6 (c) 8\/5 (d) -13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103 and 247303?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 26 (c) 3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1820, 3647, 5474, 7301?\n\"Answer: 1827*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 6534?\nAnswer: -6523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v + 1. Let w(k) = -302*k. Determine w(r(p)).\nAnswer: -1812*p - 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6737211 + 6737211 + 31*f.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314704, -629344, -943986, -1258630, -1573276, -1887924, -2202574?\nAnswer: -2517226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 164\/3 + (-2)\/(-6). Suppose -4*o = o - v. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/7 - 10*r**3\/7 + 16*r**2\/7 - 8*r\/7.\nAnswer: 2*r*(r - 2)**2*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 <= 2694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*u**2 + 29655*u - 211750.\nAnswer: 5*(u - 7)*(17*u + 6050)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 24 = 4. Suppose 0 = -3*l + 3*f + 6, -j*l + 8 = -0*l + 5*f. Solve 3*b + 1 - 3 = l*r, -2*b + r = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from wewejwlelejwjjwz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4371*s + 152981. Determine d(-35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 4*b = 6. List the prime factors of (-1 + 3 + b)\/((-87)\/(-3074)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 28 = 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - n**2 + n + 6. Give b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010001010000101011 + -1101001010?\nAnswer: -11010001011101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 432711787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31 - 42*i + 2 + 25 wrt i?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -2, -0.3, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ara when three letters picked without replacement from aoraaadsssacaaca.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/(-5) + (-37 - -58)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*v + 62 + 420, 0 = 4*v - 2*z - 964. Let j = v + -162. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 6*f. Give p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, 0.2, -19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 161840067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1020 and 2199460?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.85 + -24.55. Put 203, 1, x in increasing order.\nAnswer: x, 1, 203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.8 - -38.4. Sort 1\/3, -4, m, -1\/9.\nAnswer: -4, m, -1\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 3:35 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 26 = 3*k, 2*n = -5*k + 3*k - 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m**3 + m**2 - 2*m - 3. What is the remainder when p(-2) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a16463b + 3?\nAnswer: 8a164640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232358*b**3 - 3*b**2 - 1099065*b wrt b.\nAnswer: 1394148*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.139 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p. Let g(v) be the third derivative of v**4\/6 - v**3\/6 - 3*v**2. Give g(y) + 3*h(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -j + 2*j + 3*d, -5 = -j - d. Suppose -5*m - j*l - 8 = -3, 4*m - 37 = 5*l. Let k = 6 - 2. Solve -m*t = -t + k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -106, -266, -442, -640, -866?\n\"Answer: -r**3 - 2*r**2 - 147*r + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 13*u**2 + 20*u - 28. Let k be x(-11). What is the tens digit of (-11 - k)\/(2\/(-304)*2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 16300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6281.3 and -0.18?\nAnswer: -1130.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 29 + 6 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-1)\/8*14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 33588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Suppose 7*b + 3*q - 1 = 2*b, o*b + 2*q - 1 = 0. Is 4 - -10 - (0 + b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvtttttvvttv. Give prob of sequence tttv.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**12)**(-37)*g*g\/(g*g\/(g**(-28)*g))*g*g*g**21\/g assuming g is positive.\nAnswer: g**(-486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 300 = 3*l. Let z be l\/9 - (-4)\/3. Let k be 49\/2 - (-2)\/4. Solve 3*c + k = z*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*-1*68\/((-4896)\/2268).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -42890040 to the nearest one hundred thousand.\nAnswer: -42900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10 + (-56)\/40 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7.4542+0.42\nAnswer: 7.8742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 39195 = -11*s. Let t = -3010 - s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**6 - 4*o**5 + 1628*o**4 + 69261*o**2 wrt o?\nAnswer: -360*o**3 - 240*o**2 + 39072*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14637 by 41.\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-28)*2956\/(-3695)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116.309 - 117.1. Let l = s - -2.791. Let o be (-2)\/(-9) - 20\/171. What is the closest to l in 4, o, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = f, -3*j - 4*f = 12 + 8. Let s be (0 + j + 0)\/2. What is the tens digit of 4\/14 - ((-393)\/21 + s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - b47195?\nAnswer: -b47195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9203161147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 867 + -858. Suppose -4486127 = p*n + 6160873. What is n rounded to the nearest ten thousand?\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 - 5507*j - 132004. Calculate n(635).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 2.679 (c) 1\/2 (d) 0.1 (e) 0 (f) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 71*l**2 + 9*l - 38*l**2 + 8 - 40*l**2 - l**4 - 9*l**3.\nAnswer: -(l - 1)*(l + 1)**2*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6609 rounded to 2 decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 10 + 12)*(-l**2 + 2*l**2 - 2*l**2) - 9*l**2 + 7*l**2 - l + 0*l + 3 + 6*l**2 - l**2 - 3*l**2 + (l + 2 - 2)*(-6*l + 6*l - 6*l).\nAnswer: -36*l**2 - l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.326 - 0.1.\nAnswer: -18.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 9*x**2 + 3*x + 18. Let r be h(9). Let i = 52 - r. What is the lowest common multiple of i and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4324 (base 11) to base 4.\nAnswer: -1121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133583, -271468, -409351, -547232, -685111?\nAnswer: -822988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 10. Let d(q) = -2452*q + 69. Give 7*a(s) - d(s).\nAnswer: 2466*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + v**2 - 4. Let y be h(-3). Suppose w + 3*w - y = 0. Let f be (3 + 4 + -3 + -4)\/(-1). Solve f = -4*m + 6*m + w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43324 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -151a44 + -81?\nAnswer: -152015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11575305.7 rounded to the nearest 100000?\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 6*p. Let g(r) = r**2 + 1. Let l(h) = -4*g(h) + m(h). Let a = 23 - 20. Give l(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87738, -162278, -236818, -311358, -385898?\n\"Answer: -74540*o - 13198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -347 + 349. Let r(z) = z**a - 4 - 3071*z + 7 + 3062*z. Calculate r(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 13*r**2. Let q(o) be the first derivative of -41*o**3\/3 - 2572. What is q(h(w))?\nAnswer: -6929*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*o - 210*o + 15*o**2 + 429*o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25504311*f**4 + 30245335 wrt f.\nAnswer: 102017244*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 447 + 15. Suppose -5 = -0*o - o, 0 = -w - 5*o - k. Let s = 3403\/7 + w. Is s bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-5))\/((-4)\/10). Let i = z + 6. Solve -i*k + 12 + 8 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2. Suppose 6 = 2*y, -18 = -6*f + 3*f - y. Suppose -f = j, -u - 28 = -5*u + 4*j. Let d(v) = -u + v + 2. Determine x(d(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-498*h**3 - 9238 + 501*h**3 + 9*h**5 + 9234).\nAnswer: 18*h**5 + 6*h**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124 - (-44 + -53 - -205)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 3, o: 6, s: 2}. What is prob of sequence gg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*v + 538 + 34 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*q**3 - 2*b**2*q - 97*b*q**3 + 7*q**2 + 2*q wrt q?\nAnswer: 6*b**2 - 582*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -3. Let f = o + 1. Suppose -3*y = -3*l + 6, -f*y + 15 + 0 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 72*u**2 - 1731*u + 37. Give y(24).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.06, 1, -3, 0.35?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55781117 and 556?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6616*n*u**3 - n*u**2 + 2*n*u - 71*u**3 - 26*u**2 - 2*u - 679 wrt u.\nAnswer: 39696*n - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178.5 - 5. Let y = -174 + h. Put y, -1.6, 4\/7 in ascending order.\nAnswer: -1.6, y, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 215*w - 22*w**3 - 215*w + (49 - 15*w**2 - 49)*(-w - 2*w + 2*w) + 0 - 7*w**3 + 0 - w**3 + w - w.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18700.5602 * -0.4\nAnswer: -7480.22408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 19 - 7*u**3 - 38 + 6*u**2 + 12*u**4 + 9*u**4 to the form w*u + r*u**4 + a + h*u**2 + m*u**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -262.0000265 + 262. What is h rounded to 6 decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, q: 1, i: 2, u: 1, z: 1, j: 2}. What is prob of picking 1 i, 2 u, and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 822?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -197, 0.2, -2\/5 in increasing order.\nAnswer: -197, -2\/5, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 73*p**2 - 13*p + 138. Is g(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -16. Let w = v - -7. Let s be (2\/12)\/((-5)\/((-45)\/(-6))). Which is the closest to 1? (a) 5 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 4\/2 + (1 - 0). Solve 4*n - 5 = -d*g, 6 = 2*n + 5*g - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 1755?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.4 * 60.8.\nAnswer: -267.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {e: 6, h: 6}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5952849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1763 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(45) + -2)**2.\nAnswer: -30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -18*z**2 + 11*z + 23. Let t(f) = -17*f**2 + 9*f + 22. Let m(k) = 5*d(k) - 6*t(k). Let v be m(9). Suppose -17*c = -13*c - v. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Let s = 1 - m. Let a(w) = -4*w**2 + 1. Let t(o) = 3*o**2. Let r(n) = -4*a(n) - 5*t(n). What is r(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 + 3*j**3 + 12*j**3 + 13*j**3.\nAnswer: 35*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/8 - 13\/24. Suppose -170602 = -14*g - 170532. Sort -8\/9, s, g in descending order.\nAnswer: g, s, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -592, -31, 4, 2 in descending order.\nAnswer: 8, 4, 2, -31, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqt when three letters picked without replacement from eqqtqqqeqsqqqtqqtqq.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -64 * 42308\nAnswer: -2707712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/4)\/((-5)\/20). Suppose -b*a = -9*a + 38. Suppose 4*u + s = -u + a, -5*u + s = -21. Calculate the greatest common divisor of 28 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -568*k**4 + 1140*k**3 + 560*k**2 - 1140*k + 8 = 0. What is k?\nAnswer: -1, 1\/142, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-76167)\/78)\/(-21))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from cqcqqqqccqqqqq?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/42 + (-128)\/7. Let t be ((-4)\/5)\/(6\/135). Is t greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -5*i**4\/4 - 4*i**3\/3 - 2*i**2 - 4*i + 12. Let g(t) = 11*t**3 + 9*t**2 + 9*t + 9. Give 4*g(f) + 9*w(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 4. Suppose 5*z - 18 = 4*z - 5*c, -o*c = -2*z - 6. Suppose 4*d = -z - 17, l - 9 = -3*d. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 - -176. Let u be t\/(10\/(-15)) - -3. Suppose 6 - 3\/2*p**2 + u*p = 0. Calculate p.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 2828*a + 338387. Give h(115).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + -22. Let n be (k\/8)\/(2\/(-8)). Solve 3*b = b - 2*z + 4, 5*z - n = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 7*j**2 + 9*j - 7. Determine a(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27202353 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/(-188))\/((-26)\/8)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -64404.59094 and -328.\nAnswer: -64732.59094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/5 + 2 - 1. Is o >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10 = 0, 3*p = b - 852 - 2196. What are the prime factors of b?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f**2. Let w(s) = 77*s**2. Determine i(w(u)).\nAnswer: -53361*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + -2 + (3 - -21) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19944.9 and -0.3?\nAnswer: -5983.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/5, 3\/16576, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 0*m**2 + 1\/12*m**4 - 28 - 1\/120*m**6 - 15*m + 1\/80*m**5 - 1\/6*m**3. Let u(g) be the first derivative of k(g). Factor u(v).\nAnswer: -v*(v - 2)*(v - 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/40 - 1\/(10\/8268). Let k be (-1 - 10\/2) + -1714. Let a = j - k. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(1\/5)*v*v*v))**(-2)*v**(-9)*v\/v**(1\/4))**(-25))**(-9) assuming v is positive.\nAnswer: v**(-1665\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-4) - 2\/2. Suppose -5*k + 30 + 251 = 4*i, 4*k = 2*i - 108. What is the units digit of r\/(-15) - i\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(91)*2)\/(sqrt(224)\/sqrt(8)) + -5 + -3 + -1 + (sqrt(832) - sqrt(832)*-2)*1)**2.\nAnswer: -450*sqrt(13) + 8206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221 + -222.7. Which is the nearest to -0.3? (a) -1\/4 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*k - 12. Let x = k + -4. Suppose -5*h + 436 = -x*j + 91, 0 = -3*j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6980 + -6994. Sort -4, -15, q, -2, -5.\nAnswer: -15, q, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 + -239. Let h(k) = -k + 5. Let c be h(4). Let w = c - x. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5437\/35425 + -1\/2725. Let w = 0 + -5. Sort -3, f, -1\/3, w in decreasing order.\nAnswer: f, -1\/3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*g = -a, -5*g = -2*a - 12. Put 1, -5, a in decreasing order.\nAnswer: a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 9:25 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*b - 7 - 0, 0 = -2*u + 5*b - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7128 and 155760.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Calculate the lowest common multiple of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n - 25*n**2 + 11*n - 2*n**3 + 42*n + 7 + 8 + 3*n**3. What is r(23)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11534722 + -23793.\nAnswer: 11510929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52044 + 51934 = g + 23*p, 0 = -3*g - 4*p - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + c**3 - 4*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770.\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1194 and -19\/72.\nAnswer: 14328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 - 2*o - 2. Let q(s) = 35*s**3 + 25*s + 25. Calculate 25*g(a) + 2*q(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 741 and 27651?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1892577, 1892564, 1892551, 1892538?\nAnswer: 1892525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.23 (b) -1\/5 (c) 1\/5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/3))**43\/(i**(-4\/7)\/(i\/(i**8\/i))))**11)**30 assuming i is positive.\nAnswer: i**(119900\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1438\/(-60) - 55\/275 and 46\/1991.\nAnswer: 11946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -614384 divided by -76.\nAnswer: 8084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -c. Let x = 19 - 26. Let y be 1 - (-9)\/(x - -4). Sort c, y, 4.\nAnswer: y, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 8*s**2 - 6*s - 3. Let u be t(7). Let h be (-6)\/8 + (-1)\/u. Let i be ((-2)\/(-6))\/(5 - 32\/6). Is h < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a - 7. Let c(v) = -5*v + 4. Suppose -m = -o + 8, -2*m - 2*o - 1 - 27 = 0. Calculate m*c(q) - 6*l(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -94. Let x = u - -80. Let p = x - 55. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 7*h - 4. Suppose k + 12 = -4*w - 13, 4*w + 20 = 0. Give c(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**6\/120 - c**4\/4 + 13*c**3\/6 + 345*c**2. Calculate the remainder when 211 is divided by s(4).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3960*f + 320. Let l(c) be the second derivative of 37*c**3\/6 + 3*c**2\/2 - 54*c - 5. Give -3*a(z) + 320*l(z).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 137*g - 2334. Calculate s(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166937*g**2*i - 6791*g**2 - 11*g wrt i?\nAnswer: -166937*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6516 = -5*z - 7*z. Let b = z + 896. What are the prime factors of b?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275, 1160, 2657, 4772, 7511, 10880, 14885, 19532?\nAnswer: 24827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (117 - 102) + 55\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1250, 1236, 1196, 1118, 990, 800, 536?\n\"Answer: -2*c**3 - c**2 + 3*c + 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-2 + 0)*2. Let n(t) = t**3 + 8*t**2 + 9*t + 5. Let p be n(-7). Let j = p + 14. Solve 2*h - 5*w = 4, -w + 4 = m*h - j*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1575 = -159*n + 68*n + 76*n. Let t(s) = 34*s**2 + 1. Let v be t(1). What is the highest common divisor of n and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = 3*h. Let i(m) = 11*m**3 + 3*m - 1. Let t(d) = 10*d**3 + 4*d - 1. Let n(x) = -4*i(x) + 3*t(x). Is n(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/6 - 31380\/20160 and 55\/12.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9081*a**2 + 13376*a wrt a?\nAnswer: 18162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 12380335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 16*p**2 - 17*p + 3. Let x be f(17). Let y be ((-387)\/(-12))\/(x\/12). Let k = y - 125. Solve -k = -3*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 1 + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.2 - 13. Which is bigger: c or -95?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*s**2 + 3*s**2 - 6*s + 2*s**2 + 0*s wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20128, -74221, -164364, -290551, -452776, -651033?\nAnswer: -885316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 1. Suppose -5*o = -4*o + 1. Let g(s) = s**3 + 8*s**2 - 15*s + 5. Let k(a) = o*g(a) + 6*w(a). Give k(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*l + 861 - 9054 = 0, -24571 = -3*h - 4*l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 + 2*g**2 + 4*g**2 + (g**2 + 2*g**2 - g**2)*(8 + 0 - 3).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by 1.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 1. Let b(g) = -9*g + 97. Calculate b(n) - 6*p(n).\nAnswer: -3*n + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 45*j**3 - 21*j**2 + 11*j - 14. Determine c(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -473040661*l**3 - 35540553 wrt l?\nAnswer: -1419121983*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 484 and 18?\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + 8 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7714461*n*u**5 + 18518867*n*u**2 + u**5 wrt u?\nAnswer: -462867660*n*u**2 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 5)*(-4133 + 2412 + 2389 + 22*k) to h*k + j and give h.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -13. Let n(h) = h - 10. Let m be n(d). Let v(l) = -67*l + 6. Let z be v(m). What is the greatest common divisor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157.933 + 158. Round f to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjyy when four letters picked without replacement from {n: 4, s: 6, v: 1, y: 3, j: 1}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41532 - 86*i + 41532)*(4 - 4 - 2*i)*(3 + 2 - 3).\nAnswer: 344*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 192178 = 59*q. Calculate the greatest common factor of 74 and q.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 + 109. Sort 2, g, -1.\nAnswer: g, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 + -91. Let x be (-14 + 21 - 2\/1) + u. Suppose -76 = -z + x. Calculate the remainder when z is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1333 and 177847.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5 = -z, 933 - 453 - 445 = 5*z + 5*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((9\/2)\/(-3))\/((-30)\/260) and 80.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -5 - -2 - -15. Let w = s - -8. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29502 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 30879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 - -183. Is 3\/62 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 20*t - 6. Determine c(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -42*z**2 - 4*z + 8. Calculate i(2).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(44) - sqrt(11)) + 4 + sqrt(11) + -2.\nAnswer: 3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41635160, -41635155, -41635146, -41635133?\nAnswer: -41635116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 17*t + 12. Let z be p(16). Let r be (1 + z\/(-1))*1. Suppose k + 58 = r*j + 22, -4*j = -3*k - 31. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2810\/(-3) + -5)*(7 + -1). Let q = -2920 - z. Let b = q + -359. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3122*h - 18*h - 24832 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 12) to base 5.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q*(q\/(q*(q*q**(-2\/35)*q)\/q))\/q)\/q))**(30\/11)*(q\/((q\/(q**(-6)\/q))\/q))**(4\/5) assuming q is positive.\nAnswer: q**(2292\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from hihizhii?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -16, -24, -14, 26, 108?\n\"Answer: 2*t**3 - 9*t**2 - t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3150\/5009 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 2. Let s(r) = -19*r - 8. Calculate -36*d(i) + 8*s(i).\nAnswer: -116*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2 - 1 - 7*q**2 + 5 + 6*q + q**3 + 0. Calculate t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4, -4*v - 224*c = -225*c - 48. Suppose -3*o + 4*s = -14, 5*o - s = -5*s + 2. Calculate the remainder when v is divided by 17\/o - 1\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 1. Let k be z(-8). Suppose k = 3*y - 3. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**2 + 97*u - 66. Determine n(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((207\/92)\/(-3))\/(225\/24).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67524198433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -370 - -1613. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**7\/504 - o**5\/120 - 9*o**4\/4 + 6*o. Let h(m) be the third derivative of q(m). Give h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 9. Determine g(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 + 1. Let s(r) = -4*r**2 + 1. Suppose 12*a = 11*a - 3*x - 13, 0 = a - 3*x - 17. Calculate a*z(u) - 3*s(u).\nAnswer: 4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, p: 4, e: 3, s: 6}. What is prob of sequence ppp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 6*p**2 + 7*p - 19. What is the units digit of k(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 3398?\nAnswer: 3398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + 0.022. Let t = 0.01200054 - n. What is t rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12875*d**3 - 628*d**3 + 3 - 4.\nAnswer: 12247*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -40969 (base 10) to base 2\nAnswer: -1010000000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 289786743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-468)\/(-432)*-9*32\/36?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, c: 4, b: 2, p: 1}. What is prob of picking 1 p and 1 b?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3. Let d(a) = -9*a**3 - a**2 - 2*a - 1. Let q = 21 - 7. Calculate the remainder when q is divided by d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q - 6 = 3*f, -29 = -2*q - 3*f. Suppose -5*g + 1205 = q*w - 4*w, -2*g + 1193 = 3*w. What are the prime factors of w?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 2*v**3)*(-1923 + 1923 - 182*v).\nAnswer: -364*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 - 68 = -3*i. Calculate the remainder when i is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 6*o**2 + o - 1. Let w(j) = j**3 - 8*j**2 + 14*j - 6. Let i be w(6). Let k be g(i). Which is the nearest to 0? (a) -1.4 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:20 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 4*k - 41 + 0*k - k. What is the units digit of g(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f**2*t - 17590923*f**2 - f*t - 11695*f + 5*t + 194 wrt f?\nAnswer: 24*t - 35181846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -20. Suppose -1 = -u*n + 47. What is the remainder when 47 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/479769 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-20)*(-5)\/1. Let w(p) be the third derivative of -p**5\/60 + p**4\/3 - 3*p**3\/2 + 5*p**2. Calculate w(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1, 150\/97, -13, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 + 2 - (-1*4)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29\/2 of a millisecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + 16*r**2 + 15*r - 13*r**2 + 2 - 3*r**4 - 15*r to the form z*r + s*r**3 + l + x*r**2 + p*r**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8325 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 8. Let q be (2\/3)\/(g\/9). Suppose 18*i - 1027 = -973. Solve 0*j = -2*x - j - 6, q*j = -i*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9159 - -9152. Let j(h) = h**2 - 7*h - 16. Give j(l).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 75 - 293*g**3.\nAnswer: -293*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -223 - -373. Suppose 5*s = -3*g + h, -2*g + 69 = 4*s - 33. What is the highest common factor of 90 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 93992*j\/9 - 1597286\/9.\nAnswer: -2*(j + 17)*(j + 46979)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13 - 0)\/(-1 - -2). Let h = 85.67 + -82.67. Sort h, 0, o in increasing order.\nAnswer: 0, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 + -5 + 1) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5141\/61 or -84?\nAnswer: -5141\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) + 0 + -1. Let y(s) = 7*s - 1. Let a be y(d). Calculate the greatest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -242*k - 21549. Give f(-73).\nAnswer: -3883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v + v)*(4*v**2 + v**2 - 3*v**2) - v**3 + 2 - 2 - v**3 + v**3 + v**3 + (2*v**2 + 0*v**2 - 4*v**2)*(1 - 1 - 2)*(2 - 2 + v).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 - -118. Let t(c) = c**3 - 7*c**2 + 7*c - 3. Determine t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4*d - 2. Suppose 3*k + 3 = -3*h, 4*k + 3*h - 7*h = 12. Let v(p) = 1. Let c(x) = k*a(x) + 2*v(x). Determine c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4425*t**3 - 323*t**2 - t - 1. Let i(s) = -s**3 + 6*s**2 + 1. Let w(d) = -6*i(d) + r(d). What is the third derivative of w(u) wrt u?\nAnswer: 26586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -239.\nAnswer: 23.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 2*f**2 + 3*f - 2. What is l(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11724 - -11754. Suppose -3*w + 64 = w. What is the remainder when l is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586093656 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, i: 8, k: 1}. Give prob of sequence iiii.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13425009 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7396572 by -5.\nAnswer: -7396572\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00495416 to four dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b6 + 13d2?\nAnswer: 1a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166.74*18.\nAnswer: -3001.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 6*w + 6 = 5*i, -i = 4*w - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {r: 1, z: 1, i: 1, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 12:03 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*f - 60274, -2*q + 0*f + f = -24110. Suppose -9*y + q = 13*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c. Let u(k) = 8*k - 16. What is u(y(x))?\nAnswer: 40*x - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12*w**3 + w + 2. Let v be a(-1). Suppose v*i - 9616 = 20713. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151251322.\nAnswer: 2, 353, 214237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1053 and 266292.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*p + 53 = 0, 0 = 5*x - 0*p + 3*p - 217. Let w(j) = -84 - 6*j + x - j + 40. Suppose -l - 4 + 1 = 0. Let f(d) = 4*d + 2. Determine l*w(i) - 5*f(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -46*p**2 - 514*p + 1031. Give u(2).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 86, 10 in decreasing order.\nAnswer: 106, 86, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/29 (b) 0 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:33 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7009 + 77045\/11. Calculate the common denominator of 63\/158 and h.\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 3, 3\/5, 110\/17, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55, 269, 619, 1099, 1703, 2425?\n\"Answer: -r**3 + 74*r**2 - r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 + 5*t - 4. Let n(l) be the first derivative of l**4\/2 + 4*l**3 + 6*l**2 - 10*l - 6. Suppose -2*y - y = -15. Give y*n(k) - 12*b(k).\nAnswer: -2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**3 - 55*v**2 + 10*v + 12. Give t(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44.38478 - -0.20322. What is s rounded to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63619 is divided by 482?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 4165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5853 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1248411*n**2 - 1388769 wrt n?\nAnswer: -2496822*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -51*j + 2. Let o(i) = -41*i + 38. Give r(o(w)).\nAnswer: 2091*w - 1936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*a**3 - 34777 + 34777.\nAnswer: 604*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -7*g. Solve 5*x = -g - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7 - (2\/804*12 - 40109\/106932)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:04 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1310*u**2 - 85*u + 30. Let t(v) = 187*v**2 - 12*v + 4. Let p(h) = -2*c(h) + 15*t(h). Factor p(i).\nAnswer: 5*i*(37*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - o + 1. Let q be c(0). What is the nearest to -1\/3 in -4, q, -12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - t - 7*t + 12*t)*(t + t + 4*t)*(3*t - 3*t**2 - 3*t).\nAnswer: -72*t**4 + 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05 and -0.06471.\nAnswer: -0.11471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*z + 3*k, 0 = -0*z - 3*z + 2*k + 20. Which is the nearest to -2\/5? (a) 2\/5 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1369\/2779 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11350 + -520423?\nAnswer: -532213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*a - 3*a**2 + 76*a + 63530*a**3 - 63531*a**3.\nAnswer: -a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*k**2\/2 - 567588557*k\/2 + 63065395.\nAnswer: (k - 63065395)*(9*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4068 - -4061.006. Let g = -7 - m. Let k = 0.005963 + g. What is k rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001714421 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -340.191.\nAnswer: 2381.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/42)\/(202\/(-303))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 + 4*i + 3. Let k be z(-5). Let u be -2 - (k*1)\/2. What is the units digit of (-2 - 1)\/(u\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3921909825.\nAnswer: 3, 5, 4513, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 3*z**2 + z + 5. Let i be g(4). Let u = i - 8. Let s = -26 - -31. What is the fourth smallest value in s, -3, u, -3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 12. Let j = -5 - l. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-55)\/(-176)) - 7. Calculate the greatest common divisor of c and 1791.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -862, -938, -1010, -1078, -1142, -1202?\nAnswer: -1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s - 55. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -x + 14, 7 + 2 = x - k. Calculate the smallest common multiple of 5 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 - (-4 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 7 = -3*p, 7 = 3*p + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -135?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -116712 (base 11) to base 14\nAnswer: -4b374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from nnnnnnnnnntnnnnnnnnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*(-4)\/(-12) + -1. Factor k*j**2 - 2*j**2 + j**3 - 3*j**2 + 2*j**3.\nAnswer: 3*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/7, -1\/5, 1\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -343505?\nAnswer: -343504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -10) + 4 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 4:01 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 11:46 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -83 - (6 + -27 + -1)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 407925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219.9 - -210. Let t = i + 11. Let p = 0.1 - t. Which is the smallest value? (a) p (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1580 and 34444.\nAnswer: 172220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -101 + 107\/4*q**4 - 5\/2*q**2 + 0*q + 0*q**3. Find the second derivative of r(j) wrt j.\nAnswer: 642*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-8)\/(-3)*((-2097)\/(-36) - 35)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 + 3465*y - 2 + 1758*y**2 + 0 - 834*y**2 wrt y?\nAnswer: 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 9. Calculate z(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.7 + -26. Put z, -5, 5 in ascending order.\nAnswer: -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854.5541 years in millennia?\nAnswer: 0.8545541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 14*c + 40 = 0. Suppose d - 2*d = -21. What is the remainder when d is divided by (48\/28)\/(c\/(-28))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1316218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 899 + -899.3. Does i = -18\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, -23712677 in ascending order.\nAnswer: -23712677, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 19\/4 (b) 24.45 (c) 1 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179, -2, -4, -3, 18, 0 in descending order.\nAnswer: 179, 18, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -9*k - j + 56, 3*k + 5*j = 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40077, 160042, 359863, 639540, 999073, 1438462?\nAnswer: 1957707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/2)\/(2\/4). Suppose -4*h + 11 = m, 0*m - k*m + h + 46 = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**2 + 2*p + 1. Let n be m(-1). Suppose -7 - 141 = -n*b. What is the remainder when b is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i**(-2)\/i)))\/i**(-6)*(i*i*i**(-1\/4))**(4\/13))**(1\/58))**(1\/3) assuming i is positive.\nAnswer: i**(23\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**2 + 72745*k + 218280 = 0.\nAnswer: -3, 14552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*r + 2*r + 0*r)*(-295 + 319 + 429 + (6 - 3 - 2)*(1 + 3 - 3) + 3 - 1 + 0)*(0*r**2 - r**2 - r**2) to f + s*r + p*r**2 + h*r**3 and give h.\nAnswer: 6384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14819.\nAnswer: 7, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 78 - 95 - (-53 + 24 + -16)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*h**3*w**2 - 2*a*h**3*w + 5*a*h**2*w**2 + a*h - 213*h**3*w - 23*h**2*w**2 - 3*h*w wrt h.\nAnswer: -6*a*w**2 - 12*a*w - 1278*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28287 and 0.09.\nAnswer: 28287.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/3 + 101974*f**2 + 407888*f + 1223656\/3 = 0. What is f?\nAnswer: -152957, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19829827219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19864*2.\nAnswer: 39728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-10)\/((-160)\/12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akaa when four letters picked without replacement from {k: 5, a: 9}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*(-81)\/(-20412)*-9*5\/525.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55081 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p + 19. Let y be u(-2). Put -14, y, 5 in descending order.\nAnswer: 5, y, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - 70. What is the remainder when 58 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b + 22. Let u(r) = 2*r**2 + 2*r + 1. Let a be u(-2). Suppose a*q - 1 = 39. What is the remainder when b is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 4*k. Let z = 6 - 4. Let s(b) = -1 - b**z + 2 - 5*b - 1. Give -4*p(a) + 3*s(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 365245939*a**2*j + 2*a*j + 54887*j + 900 wrt a.\nAnswer: 730491878*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6517, -7108.\nAnswer: -7108, 4, 6517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 2*b**2 - b + 1. Let k(f) = -4*f**3 + 14*f**2 - 16*f + 8. Let x(t) = 2*g(t) - k(t). Factor x(r).\nAnswer: 2*(r - 3)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:42 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**5\/20 - 3*m**4\/4 + 4*m**3\/3 - 2*m**2 - 3*m. Let k be b(8). Let c = -2 - k. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43743565*u + 87487145*u - 43743578*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 392 + -392. Solve n - 7 = -2*t - 21, s = 4*t - 5*n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c7eed (base 16) in base 5?\nAnswer: 202201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-1\/9)*x)*x**12*x**8*x**(-11) assuming x is positive.\nAnswer: x**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 28 = -15*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, z: 2, d: 1, o: 3, h: 4, w: 6}. Give prob of picking 2 o.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkkw when four letters picked without replacement from kvwkvkvkkkv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3 - 4*t + 3*t + 2 + 3. Suppose 2*n - 60 = -3*n. Let l be k(n). Let u(r) = r**3 + 6*r**2 + 4*r - 2. What is u(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44.6 and -5.1.\nAnswer: 227.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.74 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.064 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -31 (b) 5 (c) -51 (d) 3\/5 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/213696 and -103\/360?\nAnswer: 1068480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -71, 0.1, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 67, 102, 173, 292, 471, 722, 1057?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 3 - -8 - (14 + 3 - 27).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-513)\/(-525) + 54\/(-45) and -54\/275?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 0.042, 5, -2, -3, 2?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 4, -30 in increasing order.\nAnswer: -30, -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2372 + -2377. Put 925, f, -1 in descending order.\nAnswer: 925, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -496.4 - -496. Is -574 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -33. Does 11 divide (255\/u - -2) + 3\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -224 (b) 4 (c) -1 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5185812383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*z**4 + 25985*z**3 - 8*z**2 - 3109*z - 1?\nAnswer: -120*z + 155910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 26148609 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 230\/4 + (-24)\/16.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1619, 0, 0.1, -1 in descending order.\nAnswer: 0.1, 0, -1\/1619, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i - 10*i. Let y = 0 + i. Suppose 3*d - 2*w - 508 = 3*w, 4*d + 5*w - 619 = y. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b**2 - 47*b**3 - 12*b**2 - 9 + 8 in the form k*b**3 + q + w*b + t*b**2 and give k.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**2\/5 + 81*y\/5 = 0?\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -928 + 962. What is the least common multiple of u and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 p, and 1 i when four letters picked without replacement from {j: 1, o: 4, p: 3, f: 9, i: 2}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-7\/2))\/p**(-4\/7)*(p*p**(-2\/13))**(-32\/3) assuming p is positive.\nAnswer: p**(-5981\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)*d)**38\/(d\/d**2)**40 assuming d is positive.\nAnswer: d**(158\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 25. Let l = f - -32. Do -10 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**4\/12 + 2*s**3\/3 - 3*s**2\/2 - 2*s. Let q be y(-5). Let l(k) = k**2 - k. Give l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1592*y**2 + 76*y + 75. What is the tens digit of s(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 1301*s**2 + 3*s**5 - 1301*s**2 - 5 + (-4 + 1 + 1)*(12*s - 12*s - 22*s**5).\nAnswer: 47*s**5 - 3*s**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7729 divided by 3?\nAnswer: 7729\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 5. Suppose y - q = -5*q - 13, 3*y = -2*q - 19. Give n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -443 - (-46 - (25 - 44)). Which is smaller: -401 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 10:26 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) 5 (c) -3 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3 - 1019*m**2 + 291984*m - 15951996 = 0. What is m?\nAnswer: 71, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 65. What is the second derivative of -x**5 - 2*x**5 - 8*x - x**b - 9*x wrt x?\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168482 greater than 168476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 2 = -2*b + 6*p, -b - 1 = -3*p. Let s(z) = -44*z - 2. Give s(b).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = 0. Suppose 2*o + 3*t - 16 = f, 2*t = 9 - 1. Suppose 1 = 6*c - 11. Is o equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 28038710?\nAnswer: 112154840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8770 and 18846730.\nAnswer: 18846730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2979 - -2952.26. What is p rounded to 0 dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1070648 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x\/x**(-2\/3))))*x)\/((x**(-5)\/x)\/x)*x**(-6)\/x**(-1\/4) assuming x is positive.\nAnswer: x**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -617 - -623. Let z(r) be the first derivative of r**5\/60 - r**4\/3 + 3*r**3\/2 - r**2\/2 + 1. Let o(x) be the second derivative of z(x). What is o(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 83.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235183 - 6.40825.\nAnswer: 235176.59175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/8 (b) 0.4 (c) 4 (d) 1\/51 (e) -301\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 3:45 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -0.486, 0.2, -0.2, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1544569*x**4 + 980449*x?\nAnswer: -18534828*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -197*o**7\/210 - o**6\/60 - 147*o**5\/5 - 8*o**2 - o. What is the third derivative of t(g) wrt g?\nAnswer: -4728*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(8019\/(-216))\/(-33).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*x + 12*x - 10. Let p = x + 5. Calculate the smallest common multiple of 8 and p + (-53)\/((5\/(-3))\/5).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507793 is divided by 485?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 5*p - 5*y, 2*y - 2 = -3*p. Suppose -2*r - n = -3*n - 12, -5*r + 16 = p*n. What is the second smallest value in -0.2, r, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**0))**(-1\/4))**34 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r - 38*r + 13*r + 15*r - 23*r + 21*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410685.\nAnswer: 3, 5, 11, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 - 28*r + 24 = 0. Calculate r.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18285 is divided by 8998.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185286 is divided by 1872.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 2*d. Let g(l) = 2*l**4 - 32*l**3 - 26*l - 2. Let r(z) = g(z) + 8*w(z). What is the second derivative of r(n) wrt n?\nAnswer: 24*n**2 - 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28883 (base 12) to base 6.\nAnswer: 1113443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34242996 divided by -6?\nAnswer: -5707166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21434 - -12?\nAnswer: -21422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 1599.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-10))\/(36\/(-570)). Is 4 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 18*t - 26. Suppose m + 13 = 16*n - 17*n, 0 = 5*n + 3*m + 69. Give y(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.035 - 33.965. Let c = w - -29. Suppose -2*m = 1 + 1. What is the second biggest value in 0, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3 + 14085*x**2 - 720936*x = 0. Calculate x.\nAnswer: -14136, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3155, 3104, 3035, 2954, 2867, 2780, 2699?\nAnswer: 2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-412)*(-6)\/(72\/1086). Let k = 26127\/1751 - 253\/17. Let j = i + k. What is the common denominator of j and -79\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1230\nAnswer: 1\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + k**3 + (k - 2*k - 2*k)*(4*k**2 - 2*k**2 - k**2).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5075 and -909.3.\nAnswer: -461.46975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*5.5.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + c - 1. Let y be s(2). Suppose r + 8 = y*r. Solve 12 = -r*v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 401\/5 or 4\/3?\nAnswer: 401\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p - 246*p + 1605 = -4399 - 2906 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51 - 24 - 27 + d**4 - 4*d**2 wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -343, -783, -1395, -2257, -3447, -5043?\n\"Answer: -13*j**3 - 8*j**2 - 325*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, -83, -297, -723, -1433, -2499, -3993, -5987?\n\"Answer: -12*l**3 + 2*l**2 + 4*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 582*m**5 + 115233*m**4 + 2485710*m**3 - 5333460*m**2 + 2745948*m - 14013 = 0.\nAnswer: -173, -27, 1\/194, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 1597626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-10))\/(2\/5). Suppose 7*y - s + 19 = o*y, 2*s = -2. Let n be (6\/y)\/((-6)\/20). Calculate the highest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 13*x - 120. Put -6, x, 2, -1 in ascending order.\nAnswer: -6, -1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.45 + -0.05. Which is the biggest value? (a) p (b) -3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30360, -60721, -91082, -121443, -151804, -182165?\nAnswer: -212526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22119 * 0.664.\nAnswer: 14687.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/((g\/(g*g*g**(1\/2)))\/g))\/g)**(5\/13))**(4\/5))**(-35) assuming g is positive.\nAnswer: g**(-490\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w - 8. Let x be t(-6). Let v = x + -39. Solve -v - 5 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2 + 735*b + 326 wrt b?\nAnswer: -4*b + 735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 17876\/6541?\nAnswer: 17876\/6541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -102, -408, -920, -1638, -2562?\n\"Answer: -103*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -26 times -0.0156\nAnswer: 0.4056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 86*u + 1463. Let l be m(-17). Which is the smallest value? (a) -1 (b) -468 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4100113 + 3?\nAnswer: -4100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-14))\/q**(-1\/18)*(q*q\/(q*q*q**10\/q*q*q))**(1\/2) assuming q is positive.\nAnswer: q**(-166\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/39)\/((-1)\/(2\/2))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*h + 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12 = -w + 2*s, 28 = -3*w - 5*s. Let j be -7*6\/2*w. What is the greatest common factor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13455430 to the nearest one hundred thousand.\nAnswer: -13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {i: 3, z: 1, p: 4, b: 4, m: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + a. Suppose 5*u - 2*m = 5, 3*m = 2*u - 9 - 4. Let g be s(u). Is g less than or equal to 6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1514, -5570, -12328, -21788, -33950?\n\"Answer: -1351*f**2 - 3*f - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9913a + -2?\nAnswer: -9913c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 9 = 5*l, -3*y + 46 - 36 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.691 - -0.692571. Round y to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 4:22 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*w**5 + 648*w**4 - 1345*w**3 - 2642*w**2 + 6420*w + 200 = 0 for w.\nAnswer: -2, -2\/65, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -105. Let h(i) = 8*i. Let l be h(3). What is the units digit of (-114)\/(-10) - l\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 533 - 2251150?\nAnswer: -2250314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 3:16 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466178525?\nAnswer: 5, 151, 123491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30297*r**3 - 15162*r**3 - 2 - 14959*r**3 + 2.\nAnswer: 176*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/17 + 460*k**4\/17 - 15522*k**3\/17 - 50752*k**2\/17 - 1864*k\/17 + 67680\/17 = 0. What is k?\nAnswer: -2, 1, 45, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/2 - 3*g**3\/4 - 4*g**2 - 15*g\/4 - 1 = 0.\nAnswer: -1, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -282927 + 1313*x + 282927 + (1 + 3 - 1)*(-x - 2*x + 5*x + 1).\nAnswer: 1319*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 86. What is the tens digit of (47 - -2)\/(1 - 0) - y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*u = -11*u + 1162 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/7)\/(s\/s**(-11)))\/(s\/(s**0\/s)*s)**(1\/38))**28 assuming s is positive.\nAnswer: s**(-6502\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -1*sqrt(209))*2)\/(sqrt(1100)*-2 + sqrt(1100)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -19*b - 74. Let r be m(-4). Solve -1\/4 + 1\/2*n - 1\/4*n**r = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220370455, -440740909, -661111363, -881481817?\nAnswer: -1101852271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qocoppqpppocpqo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6534472*h**2 - 485329 wrt h.\nAnswer: 13068944*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4243217588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:30 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5636894 to the nearest integer?\nAnswer: 2374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 904*q - 11415. Calculate k(13).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -4. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**3 + 4*k**2 + 5*k + 5. Let x be (29\/(174\/18))\/((-3)\/2). Determine a(x).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155247 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaakuduuduu. Give prob of picking 1 d and 1 a.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5587.118 times 0.02\nAnswer: -111.74236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + (-12 - 75\/(-6))\/((-2)\/(-48)). Solve 4*p + 115 = 2*s + 125, 7 = -5*s + n*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, x: 4, g: 8}. Give prob of picking 2 g.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x*x**(-1\/3)*x)\/x)\/(x\/((x*x**(-3\/4))\/x))*(x\/(x*x\/(x\/(x*x\/(x*x**2)*x))*x))**(1\/7) assuming x is positive.\nAnswer: x**(65\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 308\/21 - ((-2790)\/(-27))\/10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -97. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 344397*q + 5918232 wrt q?\nAnswer: 344397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 30*s + 160 = 5*g, -5*g + 142 = -4*s. Solve -32*r + 14 = -g*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + -5*(5 + 2*sqrt(13) - (2*(sqrt(52) + sqrt(13)))**2) + -5).\nAnswer: -60*sqrt(13) + 13854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 7*t**4\/12 + 5*t**3\/3 - 29*t**2 - 64*t. Calculate the remainder when w(6) is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -109. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/893 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 20417.304 to the nearest 100.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -531, -679, -875, -1125, -1435, -1811?\nAnswer: -2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - g + 0 + 4*g**2 - 2 + 3 as x*g**2 + p*g + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 87 + -36 - (1 + 8).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71d803 (base 14) in base 4?\nAnswer: 32221212223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 0*c**3 + 3*c**3 - c**3.\nAnswer: 2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 5)\/((-1)\/1). Suppose 4 = 4*i - 2*b, -i = -0*i + 2*b + 9. Let t be (0 - -2) + -1 + i. Sort k, t, 5.\nAnswer: k, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206307 (base 13) in base 12?\nAnswer: -3057b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -141, -8, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -192741032567 and -2.26.\nAnswer: -192741032569.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168305 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 13*w + 7. Let k(x) = -12*x - 7. Let q(s) = 3*d(s) + 4*k(s). Differentiate q(m) with respect to m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 3. Let z be s(3). Suppose -2*y + 3*v + 6 = y, -2*y = -3*v - 1. Let a(q) = 0*q + z*q - y*q. Let r(g) = -g. Determine r(a(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(168))\/sqrt(12) - sqrt(84)\/(sqrt(6)*1))\/(-2*sqrt(35)\/sqrt(20)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 216.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*t - 28*t - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 187080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22\/39 + 339\/(-1469))*2. What is the fourth biggest value in -4, 4\/33, 0.3, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/7 + 5339900*s**2\/7 - 5339898*s\/7 = 0. What is s?\nAnswer: 0, 1, 2669949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 3*b + 2*b - 9*b + 0*b**2 + b + 9*b**3 to the form f*b**3 + g*b**2 + p + q*b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14700 and 39396?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**4\/6 + 8*u**3\/3 - 7*u**2\/2 + 2*u. Let r be s(6). List the prime factors of (-6 - -5)*r*-4.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 99*d**2 + 4*d. Let j(h) = 1644*h**2. Give g(j(l)).\nAnswer: 267570864*l**4 + 6576*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 + 0.072\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 804005*h**2\/2 + 38095*h + 1805\/2 = 0.\nAnswer: -19\/401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + -0.4. Let d = y + -3. Let z = -7364\/3 - -2454. What is the nearest to 1 in -0.3, d, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.17 - -1.17. What is the second biggest value in 2\/3, f, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13454\/4557 + (-24)\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t + 8*t - 5 + 17 + 2*t wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + 23812\/(-3). Let r = z + 14337. What is r rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 2*p - 14. Let g(k) = -k**3 - 13*k**2 - 9*k + 55. Calculate 2*g(i) + 9*t(i).\nAnswer: -2*i**3 + i**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20135\/84 + -975\/4. Let f = -2\/457 - -28799\/1828. What is the common denominator of f and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35)\/(-21) - 1\/(-3). Suppose -r*t = 2*t + 4*y - 656, -3*y - 12 = 0. Calculate the greatest common factor of 24 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7279 and 4267.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5 + 1. Let w(g) = 7*g**2 - 3*g - 6. Let k(j) = -8*j**2 + 3*j + 5. Let i(c) = 3*k(c) + 4*w(c). Let u(r) = 2*r**2 - r - 4. What is h*i(y) - 5*u(y)?\nAnswer: -2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 130\/1 - (0 + -2). Let j(m) = -34 - 23*m - 30 - 25 - 10 + 3. Let u be j(-8). Calculate the highest common factor of u and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1136)\/(-40) - (-36)\/60 and 32 - (1 + 18\/(-3))?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 3*j + 2*a, 0 = -3*j + a + 3*a + 169. Let f = 4364 + -4315. Let q = j + f. Is 28 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 471 = -z + 5*p, 0 = -5*z + 5*p + 585. Let a = 164 - z. Calculate the highest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.2 + 7.8. Let u = j + -25.3. Let m = -3.6 + 0.6. Sort u, -4, m in increasing order.\nAnswer: -4, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5094, 4001, 2172, -399, -3718?\nAnswer: -7791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 4*a + 7. Let k be r(5). Suppose -5*c = 5*l - 30, c - 2*c + k*l + 21 = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -34.9068.\nAnswer: -35.9068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.759 + -0.059. Let q = p - 4. Let k be 7 + (-6)\/((-42)\/(-35)) + 1. Which is the smallest value? (a) 5 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-8)*6*(-4)\/(-15). Solve -5*q + 6 = -4*p, -y*q - 20 = 2*p + p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 1056 + 834. Let l = 320 + x. Put 1\/4, -6, l, -2\/7 in decreasing order.\nAnswer: l, 1\/4, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 114, 115, 116, 117, 118?\n\"Answer: g + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxxv when four letters picked without replacement from {x: 2, y: 3, e: 1, j: 1, v: 6}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32191247 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -156*c - 147. Let y(h) = 104*h + 99. Let b(i) = 5*p(i) + 7*y(i). List the prime factors of b(-3).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9251 is divided by 103?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.2987 months to centuries.\nAnswer: 0.04108225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + t - 1. Let l(q) = -q**3 - 2*q**2 + 2*q - 1. Let v(r) = l(r) - 6*n(r). Suppose 3*d + d = 12. Let y be v(d). Solve -10 = -y*m - 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*n - 57 + 57)*(0*n - 3*n + 2 - n).\nAnswer: -232*n**2 + 116*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-37128)\/208)\/(-119))\/(111\/(-4)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 3*y + 186*y**2 - 2*y**2 + 1.\nAnswer: 184*y**2 + 12*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 17. Calculate the highest common factor of b and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 32*r + 2. Let h(i) = 14*i + 1. What is -5*h(d) + 2*o(d)?\nAnswer: -6*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**3 - 4*k**2 - 27*k - 6. Give c(6).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4 - 2*l - l + 7*l + 4*l. What is the units digit of q(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -83648\nAnswer: -3\/83648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 + 83*s**2 - 11*s - 3092. Determine z(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 20150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -104*l - 486. Let y be j(-9). What is the highest common divisor of y and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let m(p) = -6389*p. Calculate u(m(g)).\nAnswer: 12778*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.3 + 0.3. Let k = 0 + -0.4. What is the closest to 0.1 in z, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {h: 7, y: 1, m: 3, q: 1}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30808 or 31048?\nAnswer: 31048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4205781 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13755 by -5.\nAnswer: 2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-169)\/(-6))\/(-1))\/(1659\/(-1106)) + -18.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 1488.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 5*s**2 + 2*s - 2 + 3*s**2 as f*s + q + l*s**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d**2 + 6*d - 6. Let j(c) = -4*c + 2 + 2 + 30*c**2 - 78*c**2 + 28*c**2 + 27*c**2. Determine -8*j(q) - 5*z(q).\nAnswer: -q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15412*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 485 and 47105?\nAnswer: 4569185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8843 (base 9) to base 6.\nAnswer: 50103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18413\/95, -0.02 in ascending order.\nAnswer: -18413\/95, -1, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -6 (c) -29 (d) -0.5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 359*a**3 + 82.\nAnswer: 1077*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179847618 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 26. Suppose 2*b - f*b = -750. Let r = 2621\/7 - b. What is the third biggest value in -0.5, r, -4, -1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-17458)\/(-232))\/(1\/4). Let n = -92 + x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001060 is divided by 4036.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32289*m - 32167*m + 2928 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -12)*1 + 11449\/1070?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + 0 + -3 - (12 - -2). Is 3 a factor of (j - -14)\/(1\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*6\/(-10)*2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 13*p**2 + 97*p + 4435. What are the prime factors of u(-66)?\nAnswer: 47, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4)*((-28)\/3)\/(-14). Let f be 5\/(-6) + 8\/24. What is the second smallest value in -4\/7, -1\/3, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*v - 3 = 83*v. Let w(c) = 22*c**2 + 1. Give w(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 2926?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 divided by 10808?\nAnswer: 1047\/10808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1606 - -293?\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - 79*o - 145. Is 5 a factor of k(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by (-6)\/(-90)*643 - (-2)\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -1\/3, 2, -5\/4, -2\/5 in ascending order.\nAnswer: -5\/4, -2\/5, -1\/3, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 2*m**4 + 0*m**4 + 2*m + 4 + 0*m**4 - 1 to f*m**2 + u + h*m + i*m**4 + c*m**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79284012*c**2 - 7*c + 3812937 wrt c?\nAnswer: 158568024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p + 5. Suppose 0 = f - 2*o - 2, -3 + p = f - 4*o. Solve -f*h - 20 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -23?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20116 + z + 20950 - 2*z + 48495.\nAnswer: -z + 49329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 3. Let m be w(3). Suppose m = 2*p + p - 12, -3*s + 2*p = -1. Let y(d) = -2*d + s*d + 1 - 4. Determine y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {z: 1, l: 2, c: 2, g: 1, m: 1, b: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244 + 27. Let g = -205 - m. Put 5, 1, g in descending order.\nAnswer: g, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10330446 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(704) + sqrt(704) + 2 + -4 + 3 + sqrt(704)*-3))**2*4.\nAnswer: -1024*sqrt(11) + 45120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128704659*l**3 - 4*l**2 + 41350605 wrt l.\nAnswer: -772227954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)*(-1 + 5). Suppose 0 + 0*x**3 - x**g - 1\/4*x + 3\/4*x**2 = 0. Calculate x.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13935 divided by 5\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/(-39)*4\/28?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**8\/840 - c**6\/180 + 4*c**3\/3 + 2. Let j(z) be the third derivative of r(z). Factor j(x).\nAnswer: 2*x**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 68*a + 1053 + 28 + 280 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3\/11)\/j*j)\/(j\/(j*j\/(j\/(j\/(j**4\/j)*j))))*(j**(3\/2))**(3\/2))**(6\/19) assuming j is positive.\nAnswer: j**(261\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3993*j**4\/4 - 41745*j**3\/4 + 11781*j**2\/2 - 1083*j + 66 = 0.\nAnswer: -11, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-165))\/((-46)\/138)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tltll. What is prob of picking 1 t and 1 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 - 2012*y**3 - 540938*y**2 - 17564760*y - 152425800.\nAnswer: -2*(y + 18)**2*(y + 485)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, 1\/2, 106007 in increasing order.\nAnswer: 0.2, 1\/2, 5, 106007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6026130 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 116\/7*u**2 - 4 - 130\/7*u.\nAnswer: -2*(u + 1)*(u + 7)*(7*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4155 (base 7) to base 11\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10538*f*j**2 + f*w**2 - 702*j**2*w**2 - j**2*w - 2*j*w**2 - w**2 with respect to f.\nAnswer: 10538*j**2 + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/2)\/((-3)\/(-6)). Let l = -8 - -20. Let r(n) = 10 + 0*n + 4*n - 6*n**2 + n**3 - l. What is r(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + u)*(3 - 32 - 2) + 32*u + 43*u - 8*u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032760 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 - -116. Suppose 11809 = v*q - 363. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**(1\/38)*m*m**(-4\/3)*m**(2\/15)*(m**(-4)\/m**(1\/2))**(27\/4) assuming m is positive.\nAnswer: m**(-2904\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 72567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7214 times 0.4\nAnswer: -2885.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*z + 4*z. Let o = z + 5. Suppose o = 6*c - c + y - 22, 0 = -2*c - y + 7. Calculate the remainder when 8 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (363 - 285 + 180)*(2 + 1 - 1)*(11*r - 11*r + 13*r) in the form n + z*r and give z.\nAnswer: 6708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 577354 <= 577354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*k + 9 = -1220 - 308 - 4043 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 125.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/4*(-12)\/40. Suppose -4*w + 1 = -11. What is g in w + t*g**3 + 15\/4*g**2 + 6*g = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h**3 + 2*h**2 - 2*h + 1. Let b(r) = -r**3 - 6*r**2 + 6*r - 5. Let d be b(-7). Let g be (d\/4*-2)\/(-1). What is the tens digit of u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 4. Let t be x(2). Suppose 3*w - 5 = -t*w. List the prime factors of w + (-1)\/((-1)\/14).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136 + 5. Let x = 0 + n. Calculate the remainder when x is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/33218 and 93\/20.\nAnswer: 332180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + (-6 - -1) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -91110000 rounded to the nearest 1000000?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170461714 is divided by 113.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 536.5706367223 - -172.4293635907. Let y = 709 - r. Round y to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let s be 1 + 14\/10 + -2. Let a = 4011 + -4019. Put l, s, a in increasing order.\nAnswer: a, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 449.8 + -79.8. Let d = r - 393.3. Round d to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7770756 - 85512349. Let i = p - -93283146.00000062. Let h = 41 - i. Round h to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -19*m**2 + 35*m**2 + 4*m + 23*m**3 - 14*m**2 + 2. Let k be l(-1). Let d = k + 48. What is the greatest common factor of 175 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/4 in -5, -3\/5, 4, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -7*g**4 - 18*g**3 - 15*g**2 - 4*g = 0.\nAnswer: -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -189015.\nAnswer: 1\/37803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3147020371?\nAnswer: 11, 4243, 67427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15066*f**3 - 2*f + 91078 with respect to f.\nAnswer: -45198*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (12 + -17))*((3 - -15) + -37 - -61).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -33694.1 - 0.5\nAnswer: -33694.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 11:57 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*g - 4*g + 2*g - 2*g + 3 + 2*g - 3 + (-6*g + 2*g + 2*g)*(1 - 3 + 4) + 1 + 3*g - 1 - g + 1 - 1.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2048) - (-2 + 2 + sqrt(2048)) - sqrt(2048))*2 + (sqrt(1568) + sqrt(1568)*-1 + 0 - sqrt(1568)) + 0)**2.\nAnswer: 33856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51803, 51795, 51785, 51773, 51759, 51743?\n\"Answer: -y**2 - 5*y + 51809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*c + 14. Let d = 115 - 111. Suppose d - 5 = g. Is c at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 54*u**2 - 3*u + 2. What is the remainder when h(2) is divided by 57?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1207*r + 85819. Calculate t(-71).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(2 - 146))\/(5 - 6)*-6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*(sqrt(99) + (sqrt(99)*-2 + -1 - sqrt(99))) + 5*(0 + sqrt(99))*-4))**2.\nAnswer: -2592*sqrt(11) + 57348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -0.172.\nAnswer: -0.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 109, 248, 441, 688?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h = -177013590 + 60865097. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.648218 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r + 5. Let d(i) = 5*i**3 - 904*i**2 - 177*i - 730. Let l be d(181). Let j(z) = -10*z - 6. Give l*j(k) - 7*c(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57299, -57290, -57281, -57272, -57263, -57254?\nAnswer: -57245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.15 + -0.15. Suppose 111 = -3*r + 4*b + 41, 3*b = -r - 45. Let q be (-4)\/(-10) + 27\/r. What is the biggest value in f, -0.3, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14568711 divided by 5.\nAnswer: 14568711\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5632, -5515, -5400, -5287, -5176?\n\"Answer: -h**2 + 120*h - 5751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**3 - 9*t + 0 + 1\/12*t**4 - 3*t**2. Give b(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -2*i + 2*a, 2*a - 11 = -4*i + 369. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 4*f + 15. Give b(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 52 - 172 = -4*t, 4*n - 5*t - 212 = 0. Does 8 divide ((-2)\/4 - 408\/n)*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 136*t**2 - 142*t + 683. Determine n(137).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 974 divide 128022335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.26264, 3\/5, -30\/13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/710 and -121\/50.\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 707875 + -707874.98. Let p = 122\/5 - 24. What is the fourth biggest value in j, 3\/5, 1, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/86192 or 0?\nAnswer: -53\/86192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**3 - q. Let v be r(1). Let l be -4 + -2 + v - -11. Suppose 4*n - l = g, 5*g = 3*n - 2*n - 2. Solve o + 3 = n*w - w, 3*o - 1 = w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(3\/1))\/((-16)\/(-16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720381 to the power of 1\/2, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -24. Let v be -13*3\/(i\/2). Let p = v + 80. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4493 is divided by 270?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2603 * -0.2.\nAnswer: 520.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -27. What is the remainder when a is divided by 1\/(-3) + 279\/27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -14*j - 15. Let q(y) = 77*y + 84. Let b(m) = 28*i(m) + 5*q(m). Let a(r) be the second derivative of -r**4\/3 - r. Give a(b(f)).\nAnswer: -196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-1 + 13024\/6734)*(-21)\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 11*z**2 - 3*z + 3. Let q be r(2). Suppose -4*o + 55 = -q. Calculate the highest common factor of o and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.3, 0, 5, -402?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*z = -9*r + 20, -r + 3*z + 4 = 0. Solve -12 = -4*o + r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17976 - 4103. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104279 is divided by 2428?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2413344, 2413410, 2413476, 2413542, 2413608, 2413674?\n\"Answer: 66*w + 2413278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 22.34?\nAnswer: 22.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 5\/3*d**3 + 38\/5*d**5 + 0*d - 68 - 1\/4*d**4 + 1\/2*d**2. What is the third derivative of x(i) wrt i?\nAnswer: 912*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 4) + (2 - 0). Suppose -5*b + y*t - 20 = 0, b = -b - 3*t + 12. Suppose -z + 748 + 205 = b. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06310033256 to 5 decimal places.\nAnswer: -0.0631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.192931 to four dps.\nAnswer: 0.1929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -40, -72, -124, -202, -312, -460, -652?\n\"Answer: -m**3 - m**2 - 8*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -118040 (b) 9 (c) -0.4 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -f + 4893, 0 = 3*f - 1680 + 1653. Calculate the smallest common multiple of 30 and a.\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-152 - 1)*16\/(-6). Suppose 804 = 3*d - o. Suppose -g - 3*g + 2*n = -322, -3*n - d = -5*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2293*l - 2285*l = 185272. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3311030 (base 4) in base 14?\nAnswer: -5a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 times 0.1105?\nAnswer: 25.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 2 w when four letters picked without replacement from {n: 1, w: 2, k: 3, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 6:35 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcccccvcc. Give prob of picking 1 v and 3 c.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-170)\/(-24) - 2\/6)\/(831\/1108). Let a(r) = -10*r**2 + 15 - r**3 + 0*r + 10*r + 2*r**3. Calculate the remainder when 140 is divided by a(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294*d**3*g**2 + 910127*d**3 - d**2*g**2 + d**2*g + 23*d*g**2 - d + 13*g**2 + 46 wrt d.\nAnswer: 1764*g**2 + 5460762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482437746?\nAnswer: 2, 3, 7, 37, 103483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-3) + (-7)\/21. Let m(t) = 2*t**2 + 8*t + 5. Give m(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -316, -1191, -2596, -4489, -6828?\n\"Answer: 7*l**3 - 307*l**2 - 3*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.1 - 17. Let g = -182 - -189.7. Let j = -8.7 + g. What is the smallest value in j, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2289 + -1666.8. Let o = -622 + k. What is the closest to 1 in o, -0.5, -0.09, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + sqrt(1100) + 0 - (sqrt(1100) + (1 + 5*sqrt(1100) + sqrt(1100) - sqrt(1100))**2 + sqrt(1100) + sqrt(1100) + sqrt(1100)))*5*1.\nAnswer: -824880 - 3900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 220681575?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3 (b) -1 (c) 2\/2143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/633 and -15\/6542?\nAnswer: 4141086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -12624.6 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1009, 9053, 30895, 73435, 143573, 248209, 394243, 588575?\n\"Answer: 1150*z**3 - z**2 - 3*z - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 5*m + 8. Let l be 13*3*(-154)\/m. Suppose 0 = -5*b + l + 44. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 672 (c) -0.4 (d) -2 (e) 375.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 5, 1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 4*s + 6. Let m(f) = 5*f**2 - 67*f + 176. Let q be m(10). What is w(q)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668339115 to the power of 1\/2, to the nearest integer?\nAnswer: 40845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/1 + (-5 - (-474)\/66). Let i = 0.406 + -0.006. Which is the nearest to 2\/7? (a) y (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o**2. Let j(g) be the second derivative of g**3\/6 + 5*g. Give b(j(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = h + 5*r, 3*r + 2*r - 29 = -2*h. What is the greatest common divisor of 35 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 15\/7 (c) 1\/4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 11*k + 38. Let a be s(-5). Suppose 20 = 3*d + 5*r, -d + 2*r - a = d. Suppose -185 = -5*u - 5*p, 3*u + p - 62 - 43 = d. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.035.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*o**3 + 15*b**3*o**2 + 2*b**2*o**3 + 31*b*o**3 wrt b?\nAnswer: -18*o**3 + 90*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*z**4 - 5*z**3 + 3*z**2 + 7212*z wrt z?\nAnswer: -252*z**2 - 30*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-5)\/5 - -923)*(-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*1*-4. Let q(t) = -2*t + 3*t**2 - t**2 - 7*t**h + t**3 - 2*t + 4. What is the tens digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5 - 3. Let r be p\/21*3 + 0. Let s be (-28*(4 - (-180)\/(-42)))\/(-2). What is the closest to 2\/7 in -1, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3222210 (base 4) in base 15?\nAnswer: -46ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*b - 1931 - 3429 = 2856 - 2006 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1776832.\nAnswer: 2, 27763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-104)\/13)\/32)\/(10\/80))\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/9, 5\/9, -1\/14, 1 in descending order.\nAnswer: 1, 8\/9, 5\/9, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 710 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -6 (c) -2 (d) -0.12 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -139\/2, -3\/7, 3\/13 in ascending order.\nAnswer: -139\/2, -4, -3\/7, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 5*m - 9*m - 4*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138784 and 12288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53700775*i**3 - 4*i**2 + 48805*i - 8.\nAnswer: 322204650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 236279.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Suppose 4*f - 4*n - h = -3*n, -3*f + 2*n = -4. Suppose -4*g + 8 = -8. Solve f = -g*s - 0*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u**2 - 222*u + 488. What is q(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*(-821 + 703 + 388)*(-2*g**2 + 4*g**2 + 0*g**2).\nAnswer: 540*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 6*f + 516. Suppose 4*g - 102 = -f. Solve g*z - 11 = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97.19 - 53.75. What is h rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -802, 14, 71, 4 in descending order.\nAnswer: 71, 14, 4, 2, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145 + 163. Suppose -4 = -19*p + f*p. Solve p*u - 5*u - 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1337\/92 = -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 12 = -32, j = d - 3. Suppose -3*o - o + 20 = 0. Sort j, 11, o, -5 in descending order.\nAnswer: 11, o, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0378 times 449\nAnswer: 465.9722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202\/119 - 24\/17. Let p = -67 + 13. Let n = -53.5 - p. Put n, a, -6 in ascending order.\nAnswer: -6, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11000 - 3102?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 273475503 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 3*t**2 - 3*t - 4. Let j(n) be the third derivative of 3*n**4\/4 - 4*n**3\/3 - 538*n**2. What is 4*j(a) - 11*o(a)?\nAnswer: 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**3 - 136*j**2 + 708*j - 1008 = 0.\nAnswer: 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -159105, -159108, -159111, -159114, -159117, -159120?\n\"Answer: -3*f - 159102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -22. Suppose 0 = -3*b + g - 2, d = -5*b - 2*g - 0*g + 4. Solve -3*v + 4*n + 20 = b, -v = 3*v + 2*n + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-1515)\/(-210))\/(-101)*2\/1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {e: 2, p: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 322 and 1104.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6503, -2, 4\/9 in decreasing order.\nAnswer: 4\/9, -1\/6503, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 h when three letters picked without replacement from pziyyhhzxhz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16.82206008 and -6961.\nAnswer: -6944.17793992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - -8 - -1*1. Let t = h + 12. Let p(c) = -c**2 + 16*c + 14. What are the prime factors of p(t)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/27786 and 149\/25260.\nAnswer: 277860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 4*s + 11 = 0, -3*f - 5*s + 18 = 0. Let z(m) = 3*m**2 - 2*m + 1. Let y be z(f). Differentiate v**2 - 9 - 2*v**y + 13 with respect to v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-7 + -6 - -17) - -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 564 + 332?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 135 = -3*q, 3*u + 26*q + 9 = -54 - 131 + 30 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -683, -2570, -5489, -9260, -13703?\nAnswer: -18638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/6)\/(5\/(-15)). Let y be (4\/r - 0) + 29. Suppose 5*o - y = 18. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.572407 meters in nanometers?\nAnswer: 8572407000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13, 9, -11, -59, -147, -287, -491, -771?\n\"Answer: -2*c**3 + 4*c**2 - 2*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 8*r - 27. Suppose -r*v + 998 = -1132. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5191\/6470 + 3\/1294. What is the biggest value in -0.06, w, -2, -19?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = 9*d - 95, u - 5*d + 7 = -u - 38 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3071 + -175052\/57. Let g = b - 3\/38. Let a(l) = l**3 - 8*l**2 + 6*l + 6. Let k be a(7). Put 0.5, g, k in decreasing order.\nAnswer: 0.5, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3904 = -3*y - 1150. Let m be (2 + 0)*(3 + 821). Let j = m - y. What is j rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761043?\nAnswer: 47, 89, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(3\/4)*(w\/w**(3\/2)*w)\/w)**(24\/5) assuming w is positive.\nAnswer: w**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 6) to base 3.\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + p + 11 + 0*p + 6 to the form n*p + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140716?\nAnswer: 2, 127, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035634 to 5 dps.\nAnswer: 0.00356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8.3. Let f(b) = 2*b**3 - 21*b**2 - 12*b + 12. Let s be f(11). Let v be (s - 0)\/(36\/(-126)). What is the smallest value in g, -1\/4, v, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + v - 4*v. Let x(z) be the first derivative of -z**3\/3 + 6*z - 12. Let j(k) be the first derivative of x(k). Calculate j(q(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1340 + 300. Let d be (-10)\/(-15) - t\/(-1002). Let i = -4271\/3340 + d. Calculate the common denominator of 47\/12 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4758*c**5 + 1896*c wrt c?\nAnswer: 95160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 9. Suppose 2*k - 2 = 8. Let w be l(k). Which is the smallest value? (a) w (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:49 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 113387638 and 113387642 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.7, 3, 1.3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22f8 (base 16) to base 8\nAnswer: -21370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, 2\/27, 0.3, -124\/7, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4052, 3985, 3918, 3851, 3784?\n\"Answer: -67*c + 4119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 775 and 1139405.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.29 and 0.53.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 + 160*f**2\/11 - 672*f\/11.\nAnswer: 2*f*(f - 4)*(f + 84)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.93 + -12.93. Which is the closest to 1? (a) 5 (b) 8\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -80, 0.\nAnswer: -80, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/7))\/v)**(-1\/14) assuming v is positive.\nAnswer: v**(-2\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 10:28 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 179 + c543c?\nAnswer: c55b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40*((-75)\/(-36))\/25.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c**2 - 70*c. Let y(k) = -33*k. Determine y(h(m)).\nAnswer: 297*m**2 + 2310*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*b**2 - 16691 + 16691 - b - 2*b to the form s*b**2 + d + u*b and give s.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s\/((s**(1\/61)*s)\/s*s))*s)\/s))**(2\/25))**(-2\/39) assuming s is positive.\nAnswer: s**(4\/59475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 15 - 41) + -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = 12. Put -1, -2\/3, s in descending order.\nAnswer: s, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 21472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90132 rounded to the nearest 1000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1584) + 2 + (sqrt(1584)*2 - sqrt(1584)) - sqrt(1584))**2 + sqrt(1584))*-2*-3.\nAnswer: 360*sqrt(11) + 9528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*i - 116, -5*s + 229 = -4*i + 3. Let r = 76 + i. Round r to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 34*y - 32*y - c, 3*y + 3*c = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2. Let h be ((-7)\/(196\/(-8)))\/((-2)\/(-14)). Let y(s) = 4*s**h + 31 - 31. Give y(x(t)).\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*x**3 - 108*x**3 + 27*x**3 - 94 + 30*x**3 + 28*x**3 as p*x + a*x**3 + q + j*x**2 and give q.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -1. Let f = -1.314 + 1.714. What is the closest to -2\/5 in g, 1\/5, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 - ((4563\/(-8))\/27 + 13). What is k in 21\/8*k**3 + 0 + o*k + 3\/2*k**4 - 21\/4*k**2 = 0?\nAnswer: -3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18135033 and 426.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 14 = -28 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*g = -94*g + 3*n + 85, -5*n - 175 = 40*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:09 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 83*p - 111. Determine r(-40).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 24*o + 6. Let t be r(13). Let n = t + -32. Solve c + 4*c - 20 = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 16 = 0, 2*r + r + 5*f - 16 = 0. Let u be (-129756)\/r - (1 + -2). Let n = u + 291968\/27. Calculate the common denominator of n and -25\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3376 and 633?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -2\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*o - q, 0*o + 14 = -2*o - 4*q. Does o = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -363, -0.5, -18\/5, -13, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 35. Suppose q = 9*d - 17 - 19. What are the prime factors of 6\/d*424\/3 + 1?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.297113ml?\nAnswer: 0.006297113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 0*h + 9*h + 108 = -3*x + 4*h, -12*x + 22*h + 450 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -74, -124, -174?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {a: 4, v: 1, o: 1, f: 1, q: 6}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001201 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-7)\/2 - -4). Is ((-283)\/g + 4)*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 776*r + 37636.\nAnswer: 4*(r - 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 9*c - 2. Let j(a) = -828*a**3 + 4186*a + 598. Let d(h) = -1794*g(h) - 6*j(h). Find the second derivative of d(x) wrt x.\nAnswer: 40572*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5 - 7. Let v(p) = 1 + 5*p**2 + 3*p + p - 3*p. Let b be v(q). Solve 5*f + 14 = -2*d, 0*d + d = 5*f + b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 194?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1542835 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1680*t + 1680*t - 11*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18308290 by -2821.\nAnswer: 6490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 15*n**2 - 2*n - 1. Let i be s(1). What is the highest common divisor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 420 = 23*p - 4*z, 4*p - 4*z + 1720 = 0. Is -426 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7240516?\nAnswer: 2, 1810129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 1848?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4471, 4469, 4465, 4459, 4451, 4441, 4429?\n\"Answer: -r**2 + r + 4471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*g**2 + 77*g**2 + 46*g**2.\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5567*q = 2082*q - 7665*q - 613250 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q + 120 - q**2 - q - 109. Let o be c(13). Sort o, 1, 5, 3 in decreasing order.\nAnswer: 5, 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -j - 121. Let i = 430 + j. Is i a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.215 - -47. Round k to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 127*m**2 + 4*m. Give j(1).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00569 rounded to four decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 11:31 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 + (-12)\/30. Suppose h - 4*h - 9 = z. Let p = 0.2 - -0.3. Put -1, p, h in decreasing order.\nAnswer: p, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22686191 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2201337 and 25\/326124.\nAnswer: 8805348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-936)\/(-260)*((-2 - 1) + -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -512 - -317. Let b be 2\/(-9) + k\/(-270). Let r = 28 - 11. Which is greater: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6756 + 7041 = -15*c + 234*c for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*d + 5, 5*l - d + 9 - 13 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0.2. Let u = 343 + -104616\/305. Let b = 301\/1220 - u. What is the second biggest value in 2\/13, -1, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 41 = -2*q. Let f = -13 - q. Suppose 12 = s + f. What is the smallest common multiple of s and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111231 or 111230?\nAnswer: 111231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 29307*s - 1229150. Give x(-42).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/3)\/(40\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 249 = -4*g - r, 5*g + 2*r = -321. Let x = g + 314\/5. Which is the nearest to -3? (a) -0.5 (b) -1\/10 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/(-102) - 4\/6. Suppose 0 = 2*a + 2 + 2. Let c be 3\/(-15) + a\/(-10). Is k <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.93 - -0.07. What is the nearest to u in 1, 0, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5909 = -m, 6*n + 23681 = 4*m + 3*n. Suppose -6*q + 8*q + m = 0. What is the common denominator of q\/462 - (-2)\/(-3) and -31\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 1\/53, -0.8, 3?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2361 - 4721\/2. Let u(v) be the first derivative of -8\/7*v - 9 + 20\/7*v**2 + h*v**4 - 46\/21*v**3. Factor u(z).\nAnswer: 2*(z - 2)*(z - 1)*(7*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*r - 81*r - 51*r)*(-3 + 1 + 1)*(-r - 1 + 1).\nAnswer: -166*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1907, -5739, -11537, -19301?\n\"Answer: -983*p**2 - 883*p - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 21*j**2 + 40*j - 29. Give p(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16357 (base 11) in base 4?\nAnswer: 11220030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -12. Suppose 49 = y*g + 5*r, -2*g - 3*r + 8*r + 47 = 0. Calculate the greatest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2509 = -137*q + 330*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 840493458*d**3 - 52264026*d + 8?\nAnswer: 5042960748*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/2 + 304\/(-399). Sort t, -0.015, -4\/3 in descending order.\nAnswer: -0.015, t, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**3\/5 - 731112*z**2\/5 + 19093302828*z\/5 - 32720634288.\nAnswer: (z - 52218)**2*(7*z - 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 21. Suppose -4*f - 2*r = -3*f - 46, -100 = -x*f + 4*r. Let b be 4\/(-32) - 98\/(-16). What is the highest common divisor of f and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4 - 16*h + 4*h - 8*h**4 wrt h?\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50977, 50971, 50961, 50947?\nAnswer: 50929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19042\/187 - 1728\/17. Which is the second biggest value? (a) -16 (b) 0 (c) h (d) 0.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elflllrllffrlkrlr. What is prob of picking 1 f and 2 r?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38857.\nAnswer: 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 5*m**8\/2688 - 17*m**7\/1680 - 19*m**6\/960 + 5*m**5\/96 + 7*m**4\/96 - m**3\/6 + 5*m**2. Solve a(d) = 0.\nAnswer: -1, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -16. Let z = s + 20. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = -2. Let s be (-1)\/6 - (-2 - x). Sort s, 0.1, 0.2.\nAnswer: s, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1524*i - 1748*i - 2981*i.\nAnswer: -6253*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*2)\/sqrt(12))\/(sqrt(245) + 2*sqrt(245)).\nAnswer: 2*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 3\/2*q**4 + 0*q**2 + 105 + q**6 + 16\/5*q**5 + 0*q - 4\/3*q**3. Let h(u) = 0. Calculate u.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-3) + 2\/(-3). Let n = 0 + -1. What are the prime factors of (n + 1)\/i + 12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 11}. Give prob of picking 1 q and 3 y.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - z - 2 = 0, 9 - 41 = -4*u - 4*z. Suppose -20 - 10 = -u*w. Find the common denominator of -55\/6 and (3\/w - 1)*-13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p**3 - 6*p + 3 - 27*p**2 + 0*p**3 + 34*p**2. Let i(b) = 9*b**3 - 5*b**2 + 4*b - 2. Suppose 0 = -5*x + 24 + 1. What is x*r(c) + 7*i(c)?\nAnswer: -2*c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 39*o - 174. Let l be f(-43). Put -1, -29, l in increasing order.\nAnswer: -29, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/43)*n)\/n)\/n)\/n**(15\/2) assuming n is positive.\nAnswer: n**(-641\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z + 5*z - 15*z + 34219*z**3.\nAnswer: 34219*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -22, -24, -26?\n\"Answer: -2*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8620, -8874, -9128, -9382?\nAnswer: -9636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3473606501?\nAnswer: 3473606501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17928 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*j - 43 = 29, 0 = -3*n + 4*j + 52. What is the least common multiple of n and 3996?\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(2\/(-8) - (-24)\/(-32)). What is the nearest to 1 in -1.01, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1 + sqrt(171)) - sqrt(171) - (sqrt(171) + 0 + 1)) + -5)**2.\nAnswer: 126*sqrt(19) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -30*z**4 + 7*z**3 + 19*z**2 + 58*z + 58. Let q(n) = -n**4 + n**3 - n**2 + 2*n + 2. Let d(m) = 116*q(m) - 4*r(m). Find l, given that d(l) = 0.\nAnswer: -24, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -75. Suppose -c*v - 2*v + 39 = 0. Solve 0 = 2*q + 3*y + y - 22, -v*y = 4*q - 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7946783036756 and 4.\nAnswer: -7946783036752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114909?\nAnswer: 3, 38303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013640761 to 6 dps.\nAnswer: 0.013641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1198*n + 1195*n + 3*u + 36 = 0, -u = 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/25)\/((-36)\/(-48)*2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*q = 125*q + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-279)\/(-4) + (-4)\/(-16) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-4)*(-120)\/(-45). Calculate the least common multiple of (-35)\/l*(2 + 0\/(-8)) and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**2*h*n + 2*b**2*h + b**2 - b*n + 2*h + 492*n wrt h?\nAnswer: 3*b**2*n + 2*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 19*q**2\/3 - 104*q\/3 - 20.\nAnswer: (q - 10)*(q + 3)*(3*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 15. Let j be p(6). Let m be (-2 - (-15)\/6)*-6. Let q be (-82)\/(-1) - (4 + m). What is the greatest common factor of q and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 3*g**2 + 11*g + 3. What is the tens digit of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604a (base 16) in base 12?\nAnswer: 12322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 11, -5, -29, -61?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -276, 5, 31 in ascending order.\nAnswer: -276, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69505, -69527, -69549, -69571, -69593, -69615?\nAnswer: -69637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 - -1) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -176, -4, -3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 198 = -5*a. Let d = 37 + a. Suppose -4*o + d*z = o - 695, 3*z - 730 = -5*o. Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -13\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 - 540*k**4 + 8720*k**3 + 519600*k**2 + 4556160*k + 7112448 = 0. What is k?\nAnswer: -12, -2, 63, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 916 + -928.62. Let r = d - 0.28. Let i = r - -12. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 29068.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 829 - 164. Let o be (-63)\/v - (-2)\/(12 - 2). Let w = -0.8 + -0.2. What is the smallest value in 0.3, w, 1, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -1, 363, 2 in decreasing order.\nAnswer: 363, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}