diff --git "a/data/dm_maths/full_data_2/10941_11255.jsonl" "b/data/dm_maths/full_data_2/10941_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10941_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x = 7.2 + -7.138. Round x to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (24423\/(-4652))\/((-6963)\/(-6964) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*(h*h**(1\/2))\/h*h**(-5)\/(h*(h*h**(1\/18))\/h))**(-7\/4) assuming h is positive.\nAnswer: h**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9734 is divided by 748.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 9:55 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**6\/1260 - n**5\/420 + 11*n**3\/6 - 8*n**2. Let v(o) be the first derivative of w(o). Suppose v(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 16\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 5, u: 2}. Give prob of picking 1 u and 1 l.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*c + 18 = 0, 0 = -4*r - 4*c + 3*c + 8. Let t be (-3 - ((-2)\/1)\/r)*-75. Calculate the greatest common divisor of 30 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 80*r**2 + 19*r + 1. Let v(g) = -29*g**2 - 7*g. Calculate -3*a(t) - 8*v(t).\nAnswer: -8*t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 15*l**2 + 24*l + 58. Let v be a(9). What is the highest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -4099, 113 in increasing order.\nAnswer: -4099, 41, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 4*a + 98. Let s be b(-8). What is the biggest value in -5, 2.42, s?\nAnswer: 2.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2670692376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 + (20 - -1) - 27) + -31.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1323?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 3*j + 61, 5*w = 4*j + 122 - 49 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12072495.\nAnswer: 3, 5, 804833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {g: 2, b: 3, k: 4, y: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -8 - (6 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 8*r**2 - 2*r - 7. Let w be g(8). Let j = w - -33. Let f be j\/((-2)\/16*-4). What is the highest common divisor of 8 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*n**2 + 12*n - 1\/4*n**3 + 0 = 0. What is n?\nAnswer: -6, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 20*a**2 + 23*a - 22. Does 5 divide b(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -886\/3905 - -16\/355. What is the nearest to 0 in 3, u, -60, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*y - 135*y + 92*y.\nAnswer: -175*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 25, 4 in descending order.\nAnswer: 25, 12, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 12 = -48. What is the third derivative of -23*s**2 - 51*s**p - 22*s**2 + 22*s**2 wrt s?\nAnswer: -6120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*z)**6 assuming z is positive.\nAnswer: z**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 286, 0.1, -2, 3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6993, -13802, -20253, -26166, -31361, -35658, -38877, -40838?\nAnswer: -41361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -226, -229, -232, -235, -238, -241?\n\"Answer: -3*p - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5045?\nAnswer: 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17517230.75575 - -17515058. Let o = l + 2173. Let n = o - 0.24. What is n rounded to four dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + n)*(3*n**3 - 5*n**3 + 3*n**3)*(-1 + 4 + 0).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -25*b**2. Let c(s) = 6*s**2 + 10*s. Let w(v) = -4*v**2 - 9*v**2 + 3*v + 15*v**2. Let q(r) = 3*c(r) - 10*w(r). Give q(u(l)).\nAnswer: -1250*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n + 2. Suppose 2*k + 5*q + 15 = 0, -k - 2*q - 10 = q. Let w be a(k). Suppose -2*y = -4*y + w. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 298 + -145. Let g = q - 151. Put g, -2, -0.034 in descending order.\nAnswer: g, -0.034, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 24, 5 in descending order.\nAnswer: 24, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*(-345)\/138.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4\/7)*t\/(t\/(t*t\/t**(-12)))*t*t*t*t\/t**3*t**23 assuming t is positive.\nAnswer: t**(262\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72817746187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2414612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 8, -20 in decreasing order.\nAnswer: 8, 3, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37603 - -101666. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9213*s + 94530 = -240*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(8) + sqrt(40)\/sqrt(5))**2 + 4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-15))\/(58\/(-1479)*-17).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -1073?\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35763 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894472.\nAnswer: 2, 17, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*j - 14, -3*q + 26 = -j + 1. Calculate the remainder when 36 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 59 + a0331?\nAnswer: a038a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 171 = h, 2*h + 69 = 2*m + 3*h. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.11 (b) -4 (c) -1.947 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w + 4. Let i(j) = 16*j - 12. Let f be i(1). Suppose -2*d + 8 = n, -4*d - f*n + 16 = -n. Determine t(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4 + 2625676*o**3 + 5251360*o**2 = 0 for o.\nAnswer: -2, 0, 1312840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k + 19. Let m(y) be the first derivative of -y**2 - 6*y - 8. Let c(u) = -2*b(u) - 7*m(u). What is c(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/8)\/((-6)\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 - 272*b\/7 + 930.\nAnswer: 2*(b - 105)*(b - 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 1, u: 2, c: 3, l: 1, b: 3}. Give prob of sequence lyq.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = f - 5*v, -2*f + 6*v - v + 28 = 0. Let b be 6 + 1 - 4\/f. Suppose 0 = b*p - p - 20. What is the lowest common multiple of p and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 + 2*j - 3. What is h(2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -57*p**2\/2 - 56*p + 16. Differentiate r(k) wrt k.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(325)*-2 + -3 + -2)*-5.\nAnswer: 40 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 5 + 7*u**2 - 17*u**3 + 20*u**3 - 3*u**3. Determine q(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59613*g = -5*v + 59612*g - 63, 21*g + 1428 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 86 = -16*o, 24 = 3*o + 5*f - 21. Solve o*w - 12 = 13, p + 16 = 3*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 92 + 273 - 649*r - 90.\nAnswer: -649*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**4 + 1656039*l**3 - 5857611*l wrt l?\nAnswer: -12*l**2 + 9936234*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + ((-3*sqrt(384))\/sqrt(2))**2.\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10*n + 12. Let p(k) = -18*k. Let q be p(1). Let v = q + 25. Let w be y(v). Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 499881087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 562, -3 in descending order.\nAnswer: 562, 130, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(-1*sqrt(6)*-1) - ((sqrt(275) + 0)*-2 - sqrt(275)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:56 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -454.5 times -5?\nAnswer: 2272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1\/11, -3, 0, 3, -41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -7\/37, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9484.651 minutes?\nAnswer: 569079060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j**2 - 340*j - 409. Calculate y(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/4*(2\/(-2))\/((-195)\/(-845)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -1, 4, -14, 3, 1, 27 in increasing order.\nAnswer: -14, -1, 1, 3, 4, 27, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*a**2 + 373*a - 106.\nAnswer: -(a - 53)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 79786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2028*u = -2031*u + 9. What is the remainder when 13 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -327 greater than 4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110240 + 2?\nAnswer: 110242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041117 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54802 - 34170. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - ((-12)\/(-16) + (-670)\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -225 + 843 + 347 + 209 - 3341*p wrt p.\nAnswer: -3341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*((-12)\/(-20) + (-31)\/10). What is the thousands digit of 100\/m*(221 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 3*j - 8 - 3, 2*d - 24 = -4*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -342*y**5\/5 - 2903*y**4\/5 - 2189*y**3\/5 + 2933*y**2\/5 + 2531*y\/5 - 6 = 0?\nAnswer: -15\/2, -1, 2\/171, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 + 5*k - 133 - 5*k - 29 - 13*k**3.\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*r, -3*r = -4*q + 2*q - 7. Let o be (68\/30 + -2)\/q. Let w = 0.09 - -0.41. Which is the third smallest value? (a) 2 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311 = -28*n + 239 - 348 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44407 rounded to the nearest one hundred?\nAnswer: -44400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 930 and 283371465.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 9*c + 10. Suppose a - 15 = 6*a. What is the remainder when (47\/a)\/((-7)\/42) is divided by t(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 530, 529, 528, 527, 526?\n\"Answer: -v + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229525198 divided by 406.\nAnswer: -565333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 21. Let p(a) = -a + 11. Let c(l) = 5*p(l) - 3*q(l). What is c(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 732540 divided by -6315\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6895 in -0.4, 6, 2, -0.06, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 19)*(-4)\/6. Let o(h) = h**2 + 9*h - 6. Let b be o(-9). Let w = k + b. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 1. Let k(i) = -19*i**2 - 28 + 52 + 12*i**3 - 27. Let z(m) = k(m) + 3*p(m). Find the third derivative of z(u) wrt u.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252486\/(-14850) + 17)\/((-1)\/(-1) - 18\/15).\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12*k**(3\/13)*k)**(7\/4)\/(((k**(-1\/3)\/k*k)\/(k*(k\/k**(-2))\/k*k*k))\/(k**(-2))**(-2\/61)) assuming k is positive.\nAnswer: k**(67927\/2379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/102916 or -1?\nAnswer: -13\/102916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + -18 + 7 + 8 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 31. Let g = 0.99915 + i. What is g rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 545*n - 4294. Let p be v(8). Calculate the greatest common divisor of 627 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 10 = 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4 - 416*n**3 - 7778*n**2 + 3704144*n + 11171040 = 0.\nAnswer: -85, -3, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*b - 19. Let v = b + 19. Calculate the remainder when 102 is divided by v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 3a?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - i + 3*i)*(-1 + 2 - 4).\nAnswer: -6*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259.92 centuries in decades?\nAnswer: 12599.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4 + 18*j**3 - 17*j**2 - 2.\nAnswer: 48*j + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 10) in base 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 49*g + 682. Give d(-15).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90 - -85) + (6 - (1 + -7))*-2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = -22*d - 12. Let j(x) = -x + 6. Let f be j(4). What is the third derivative of -2*l**6 - l**2 - 3*l**2 + 6*l**d + l**f wrt l?\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*27\/12*(-4)\/(-126))\/(2\/36).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*-7*4\/12. Suppose 0 = -4*s - 3*n + 3 + 3, 5*n + t = -s. Solve s*x - 10 - 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1485 and 124240545.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 18*y - 2. Suppose 0 = -5*v + 2*v + 4*i + 130, 4*i - 206 = -5*v. Suppose 3*a - 9*x = -6*x - v, -3*x + 60 = -4*a. Give r(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 241?\nAnswer: -5\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1655 + 1655 + 14*f**2 + 3*f**3 in the form b*f**2 + s*f**3 + a + i*f and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5555 is divided by 1315.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -962a - 5869?\nAnswer: -14398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**2 + p**2 - 22*p**2.\nAnswer: -41*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 - 2*o - 3. Let f(u) = 7*u**2 - 5*u - 5. Let g(q) = 3*f(q) - 5*m(q). Let t be 1 + -7 + 15 + -4. Determine g(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -38 (b) 50 (c) -0.5 (d) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-4))\/l**3)**36 assuming l is positive.\nAnswer: l**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175108, -700561, -1576310, -2802349, -4378672, -6305273, -8582146?\nAnswer: -11209285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (14 + 4 + -17)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 21 (b) 0.07 (c) -30 (d) -19 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.2, 5, -15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 6*c**2 + 4*c + 3. Let q be y(-3). Let f = q - -6. Suppose f = 4*a - 2*p, 4*p + 6 = 3*a - a. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 40*k. Calculate the remainder when y(1) is divided by 21\/2*72\/54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/3)*c*c**(-1\/8)*(c\/c**(-1\/3))**(-1\/2)*((c*c*c**10)\/(c**(1\/2)*c))**(1\/4) assuming c is positive.\nAnswer: c**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(7 - (-338)\/(-39)). What is the third smallest value in u, -2\/33, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + n**2 + 1. Let x(i) = 56*i**4 + 29 + 6*i**4 + 741*i**2 - 697*i**3 - 272*i + 134*i**4. Let t(v) = -3*d(v) - x(v). Find c such that t(c) = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5356174?\nAnswer: 2, 1487, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18*a**2 - 85*a + 300. Determine y(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -4. Suppose -98 = g*p - 9*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1235, -3310, -6239, -10022, -14659, -20150, -26495?\n\"Answer: -427*c**2 - 794*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073*l + 4308 = -j, 452*l = 3*j + 455*l + 36 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7505*c + 237. Let i(z) = -158*z + 5. Determine -237*i(g) + 5*n(g).\nAnswer: -79*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + n. Let i = 4 - 3. Let z = 0 - i. Let k be h(z). Which is the nearest to 2\/5? (a) 3 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + 221?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 3*d - 27. Let o = 399 + -415. Let v be (64\/o)\/(8\/(-2)). Sort d, v, 2 in decreasing order.\nAnswer: d, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.017 - -0.047. Let i = f + 3.236. Let p = i + -3.29999824. What is p rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Does 193 divide 23462817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 2. Let d(q) = -5709*q - 3. What is -d(i) - 2*t(i)?\nAnswer: 5713*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - o)*(2 + 5*o - 2) - 5*o**2 + 2*o**2 + 4*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, w: 2, g: 2, r: 6, z: 1}. What is prob of picking 1 e, 1 g, 1 r, and 1 w?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.8, 0.2, -2, -2\/51, 3048.\nAnswer: -2, -1, -0.8, -2\/51, 0.2, 3048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**24)*c**(-2\/5)*c)**6 assuming c is positive.\nAnswer: c**(-732\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 479879 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g + 39. Give s(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117 and -58.\nAnswer: 6786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b37 (base 15) to base 5.\nAnswer: -244102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15*4)\/(6\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2216 is divided by 59?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71 by 1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(196)\/sqrt(4))\/sqrt(7) - sqrt(7) - ((sqrt(7) + -3*sqrt(7))**2 + -5) - (-5*(0 + sqrt(567)) - (5 + 2*sqrt(567)))**2.\nAnswer: -27831 - 631*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -6\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 20*k**2 - 22*k - 46. Is s(-20) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -14. Put 3, -4, j in decreasing order.\nAnswer: j, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z**3 + 9*z**2 - 36*z + 27. Let o = 125 - 130. Let m(c) = c**4 - 18*c**3 - 17*c**2 + 72*c - 53. Let t(a) = o*n(a) - 3*m(a). Factor t(i).\nAnswer: -3*(i - 2)**2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2128*d**3 - 85*d**2 - 7*d + 4?\nAnswer: 12768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-3) - 7820\/(-644). Put b, -18\/11, -0.71 in descending order.\nAnswer: b, -0.71, -18\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-519)\/1311 + ((-1092)\/(-322))\/(-26)\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-16) + 6\/(-16) + -23 + 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 5*x + 3. Let t(l) = l**2 - l - 1. Determine -q(g) - 5*t(g).\nAnswer: -3*g**2 + 10*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 12*a**2 + a. Let t = 2 - 3. Let s be r(t). Let c = -3 + s. Calculate the remainder when 23 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/108)\/(8\/64)*(-12)\/(-40)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 13*c - 11. Calculate w(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cacy when four letters picked without replacement from {x: 2, c: 3, y: 1, a: 9, n: 4}.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3917951 - 1891753.06?\nAnswer: 2026197.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3222 + -3212. Sort 0.3, -9, -0.01, -2\/3, x in ascending order.\nAnswer: -9, -2\/3, -0.01, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32219865967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 4. Suppose -35*y = -39*y + 196. Let o = -45 + y. Let r(j) = -11 + o*j + 6 - 2. Give 3*r(c) - 5*v(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 169 = -0*v + 5*f, -4*v + f = -149. Calculate the highest common divisor of v and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 12 (b) 0.2 (c) -2314\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - x**3)*(0*x**2 + 2*x**2 - x**2) + 4*x**5 - 3*x**5 + x**3 - 4*x**5 + (-x**2 + 6*x**2 - 4*x**2)*(87*x**3 + 40*x**3 - 34*x**3).\nAnswer: 89*x**5 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 1. Let p(g) be the third derivative of -g**4\/24 - g**3\/6 - 8*g**2. Determine 4*p(s) - 5*x(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88.95888 - -0.05412. Let h = 0.013 - y. Let r = h - -98.1. What is r rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2678.39684 to 0 dps.\nAnswer: 2678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 885870519 or 885870517?\nAnswer: 885870517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1021112022200 (base 3) to base 7\nAnswer: 5530344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 1. Let x be v(3). Let c = x + 2. Calculate the lowest common multiple of ((-24)\/21 + 2)*7 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56447.1 rounded to the nearest one thousand?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464169 divided by 3.\nAnswer: -154723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 6*g - 4. Let i be z(-6). Let k = i - 25. Is 15 a factor of (k + 2)\/((-4)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54661439 to the power of 1\/3, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0. Let m = 7.99 - -0.11. Let h = m - 8. Which is the third biggest value? (a) v (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 2*n**2 + 3*n + 1. Let s be f(-2). Let z = -8 - s. Suppose 0 = -3*i + 16*x + 56, -14*i - 29 = -11*i + x. Put 0, z, i in decreasing order.\nAnswer: 0, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86586 is divided by 385?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28507.1 + -28507. What is the closest to -3 in 0.5, -3\/10, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, 3, -3\/4, -1, -0.2 in decreasing order.\nAnswer: 188, 3, -0.2, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1920 = 170*q + 50 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 60, 120, 180, 240?\n\"Answer: 60*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttgmrgrggyty. What is prob of picking 1 g and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*b**2 - 16218*b - 405810.\nAnswer: -2*(b + 27)*(22*b + 7515)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(i**5 - i**5 - 4*i**5) + i**5 + 2*i**5 - 4*i**5.\nAnswer: -9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 17. Let w(o) = o. Let y(m) = -t(m) + 2*w(m). Determine y(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/17))\/n**(-2))\/(n**(-1\/3))**13 assuming n is positive.\nAnswer: n**(377\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 2. Let k be s(-4). Let z be (2 - 356\/(-8))*k. Suppose z - 24 = 3*u. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41, 65, 77, 71, 41, -19, -115, -253?\n\"Answer: -v**3 + 31*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 312230210 to the nearest one million.\nAnswer: 312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 7*p + 4. Let s be l(4). Suppose -4*f + s + 28 = 4*x, 4*x + 5*f - 35 = 0. Let i = 18 - x. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(1625\/(-78)))\/(((-60)\/696)\/(75\/(-9)))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 16\/3. Which is the nearest to -1? (a) -1\/6 (b) 2\/11 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -484.6 - -485. Which is the second biggest value? (a) -2 (b) s (c) -3\/10 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -215273051?\nAnswer: 215273030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/19085 and 59\/83280.\nAnswer: 916080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q - 4*q**5 - 7*q**5 - 11*q**5 + 31*q**4 - 590 + 1365 - 6*q**5 wrt q.\nAnswer: -560*q**3 + 372*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 7. What is w(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2585 to 2 dps.\nAnswer: 2.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220919913 is divided by 642.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1224 + 36\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 40*b**2 - 134*b - 92.\nAnswer: 2*(b - 23)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 102222211?\nAnswer: -102222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g**5 - 9*g**2 + 0*g**7 + 5\/84*g**8 + 0*g**6 + 1\/6*g**3 + 0*g + 4\/3*g**4 + 0. Find the second derivative of m(b) wrt b.\nAnswer: 400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*(26\/(-135))\/(-30*57\/15390)?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-66680)\/(-330) + 4\/(-66). Which is the nearest to -1? (a) 14 (b) 3 (c) -2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 743, 1210, 1677, 2144, 2611, 3078?\n\"Answer: 467*l + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y - 13. List the prime factors of j(17).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 2*z**2 + z**3 - 91 + 7*z**4 - 6*z**4 + 33 to w*z + g*z**4 + j + u*z**2 + i*z**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*14\/10*(-8)\/(-84)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-16))**(7\/10))**(-1\/11) assuming n is positive.\nAnswer: n**(56\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + 15b328?\nAnswer: 15b316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769221 is divided by 231?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/60 + c**4\/24 + 73*c**3\/6 + 7*c**2. Calculate the remainder when i(0) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 5 - 42*u**2 + 39*u**2 + 3*u**3 to d + c*u + s*u**2 + h*u**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.31 and -0.2?\nAnswer: -0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144 + -1?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3388*p**4 + 125352*p**3 - 3523668*p**2 + 19315760*p - 22800 = 0.\nAnswer: -57, 1\/847, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/17 (b) 0.1 (c) -3\/2 (d) 5 (e) -0.0655\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184*x + 129*x + 836*x + 939*x**4 - 17*x**4 wrt x?\nAnswer: 11064*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 35*p + 106. Let a be k(-6). Is -102 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 6*n**2 - 14*n - 54. What is l(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2933*r**5 + 28*r**4 - 433*r**2 + 745*r + 1 wrt r?\nAnswer: 175980*r**2 + 672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2831 + 3984. Let i = b + -640. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-40)\/2))\/((-4)\/8)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 10*w - 1. Let g be l(9). Let f = 15 + g. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-105)\/20)\/(891\/(-42)) and -101\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h. Let o(i) = -6*i**2 - 33*i + 5. Let s be o(-5). Let y(d) = -48*d. Let v(a) = s*u(a) - 3*y(a). Suppose 0 = 4*b + 3 + 1. What is v(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288167810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*j + 429*j - 2049*j - 3667*j.\nAnswer: -5599*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 + 8*l - 2. Give x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -4\/5 (c) -420 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34992938 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 1481019*s**2 + 5 - 301381*s**2 - 1. Let g be p(4). Let k = -29074196 + g. Round k to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (363\/3 - (-8)\/(-2)). Let q = -971\/8 - d. What is the biggest value in -1\/3, -4, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113\/2 = 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 202 * -0.79\nAnswer: -159.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5711102 and 274628.\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1955 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -229 in -0.7, 0.16, 1\/4, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Let z(q) = q**3 + 4*q**2 + 2*q - 1. Let x be z(-3). Let y be (0\/(-5))\/x + -5. Put 11, v, y in ascending order.\nAnswer: y, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 1392.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795493.\nAnswer: 3, 653, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - 42?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w**2 + 25*w - 137. What is the tens digit of p(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204 and 0.3.\nAnswer: -61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 767673871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 + 6*s - 1. Let r be k(6). Let p be 2\/21*(-3)\/r. Factor -p*m + 0 + 2\/7*m**2.\nAnswer: 2*m*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 m when four letters picked without replacement from {l: 5, u: 3, m: 4}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + q = 1, -3*x - 2*q - 1 = -3*q. Suppose x*d + 4*d = 0. Is 3\/10 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + 2 - 2*r**4 - 7*r**2 + 5*r**2 + r**2 in the form u*r**3 + s*r**4 + b*r + d*r**2 + q and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2494 and 143898?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10050116 and 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*j + 17. Let k be 10 + j\/(-3 + 4). Let a(y) = -6*y + 4*y + y + 2. Give a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j - 1668 = 0. Suppose 89930 = 105*d - 20*d. Let f = j + d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -16, 0.5, 52306, -5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 512. Let w = -23 + d. Suppose -w = -2*v + 629. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*2\/2*25\/50*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5623297.\nAnswer: 19, 37, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1, 2, 1\/3, -9 in increasing order.\nAnswer: -9, -0.4, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*h - 18 = 3*h, 5*g - h = -8. Let x(n) = n**3 + 5*n**2 - 6*n - 1. Let o be x(-6). Calculate the remainder when 26 is divided by g + 3 + o - -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 694698 and 804.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1. Let v(t) = 10*t - 3. Let j(p) = -1 + 4 - 15*p - 2 + 12*p. Let s(o) = 7*j(o) + 2*v(o). Determine -2*s(k) + 3*x(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*s + 4*s - 6, -4*i = 2*s - 18. Let p = -19.24 - -17.24. What is the biggest value in p, -1\/4, 3\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-3 + -5)**2.\nAnswer: 300*sqrt(13) + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -766*m - 92333. Calculate f(-123).\nAnswer: 1885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/11))**(-2\/53)\/(((w**(-22)*w*w*w)\/w*w)\/w**(-12)) assuming w is positive.\nAnswer: w**(4085\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32437090 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 + 111*w**2\/4 + 1665*w\/2 + 3500.\nAnswer: (w + 5)*(w + 50)*(w + 56)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*h. Let w be 4\/16 + 3\/(-15*4). Is h >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15630 + 23437. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - -3*sqrt(99)*1)\/(sqrt(729)*-3).\nAnswer: -4*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -113. Let y be 1 - ((-40)\/15 + f\/(-9)). Solve -y*n = -9*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10201203 (base 7) to base 9.\nAnswer: 1546360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 4*f**2 + 3. Let j be h(-3). Solve -2*q = x - j, -3*x = 5*q - q - 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108776*b + 217599*b - 108803*b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/4, 4, 0, 0.181?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1118, -4195, -9226, -16199, -25102, -35923?\n\"Answer: 2*s**3 - 989*s**2 - 124*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j + 1. Let d = 18 - 15. Suppose -6*i = -d*i - 6. Suppose -2 - i = 4*n. Give k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -33 - (10 + (4 - 1 - 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 5:37 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.462 + -3.862. Which is the nearest to -0.1? (a) 15 (b) i (c) 38 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2843777968 to the nearest integer?\nAnswer: 53327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -50912 (base 10) to base 15\nAnswer: -10142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -h - y + 50, 0 = -3*h - 4*y + 160. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*-6*(-36)\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyymyhyyyyyyyyhyy. What is prob of picking 4 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7817*a**3 - 2*a**2 - 213*a**5 + 7817*a**3 + 10*a + 18*a wrt a?\nAnswer: -12780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*6\/6 + -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1951875 and 650625.\nAnswer: 1951875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 1 - 7. Let h(k) = k**2 - 17*k + 3. Let o be h(17). List the prime factors of o*(u + 1 + 19).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 11*g**2 - g - 1. Let f(n) = -3*n**3 + 23*n**2 - 3*n - 2. Let r(b) = -5*a(b) + 2*f(b). Is 10 a factor of r(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*i - 16, 4*i - 2 = -18. Solve -u*p - 12 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 3 - -4) + (-5 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1322 by -2.\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 161, 164, 167?\n\"Answer: 3*x + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10405 (base 8) in base 5?\nAnswer: -114412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-2)\/(-4))\/(1\/2). Let a(v) = -4*v - 16. Let f be a(u). Suppose f*l = -g - 0*g + 13, -23 = -2*g - 5*l. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 13. Let y = 13 + l. Let i be (-20)\/9 + 0\/y. Which is greater: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2141 + 1279 = 12*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/85336 and 73\/234674.\nAnswer: 938696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-2)\/(2\/(-1)). Suppose c*q + 16 - 52 = 0. What is the remainder when 23 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klklkkkli. What is prob of picking 1 l and 1 k?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*n + 2012, -5*c + 3*n + 1186 + 2161 = 0. Let w = -463 + c. Suppose 0 = -5*h + 3 + w. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -575 + 1183 + 350*s**5 - 578 + 14*s wrt s.\nAnswer: 7000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/10*26640\/(-108). Let i = t + -266. What is the remainder when 32 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*x - 3*x = -15, 5*f + 3*x - 25 = 0. Is f\/(1036\/(-208) - -5) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, -36, 0.1 in descending order.\nAnswer: 0.1, -0.4, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6725*h**2. Let r(o) = 2*o - 14. What is r(i(d))?\nAnswer: 13450*d**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 + 4*y**3 + 54*y**2 - 112*y - 160 = 0. What is y?\nAnswer: -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48556 is divided by 2695.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -1\/4*y**4 + 3*y**2 + 0*y + 1\/6*y**3 + 0. Differentiate b(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553 * 0.106\nAnswer: -58.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720879427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 194\/74993 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 158256 and 28517166?\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 11. Let n = 2 + 7. Is n\/(-6) - (585\/h)\/(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 491, 2190, 5097, 9212, 14535?\n\"Answer: 604*g**2 - 113*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -195, -1\/21, 11, -3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -120968800 to the nearest 100000.\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55461, -106638, -157815, -208992?\n\"Answer: -51177*w - 4284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 16. Let v be (-18)\/12*c\/18. Determine y, given that y - y**3 - 1\/4 + v*y**2 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3037 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2496*k + 5005*k + 3852*k**2 - 3856*k**2 - 2509*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13063 + 13723. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*393\/(-165) - (-924)\/9086*59.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * 0.8.\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10102012202 (base 3) to base 4\nAnswer: 100122113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from eyueeuepeeluyapeyp?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 - -1) + (-18 - 14*(-660)\/308).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 59. Let z(s) = 33*s**2 - 52*s + 1. Let j(p) = -2*p**2 - p + 1. Let n(v) = u*z(v) - j(v). Find the second derivative of n(t) wrt t.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -20*p**2 + 675*p - 4945 = 0.\nAnswer: 43\/4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21502086691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -85*a**4\/12 + 47*a**3\/2 + 22*a**2 - 1. List the prime factors of m(-4).\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 12*n + 124. What is the tens digit of y(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - ((-8)\/(-88))\/(1\/46). Let c = -5 - -8. Sort 6, c, j, 1.\nAnswer: j, 1, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - h + 16, 0 = 5*r - 3*h - 80. Let w be (3 - (3 + -1 + r))*-36. What is w rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02440467 to three dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 150.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*g - 24. Let k = g - -39. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -22*k**4 - 4*k**2 - 4*k - 98. Find the second derivative of w(p) wrt p.\nAnswer: -528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -1129*d**4\/4 - 399*d**2\/2 - 1099. Find the second derivative of w(x) wrt x.\nAnswer: -6774*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(363) - 2*sqrt(363))**2.\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6113?\nAnswer: 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 102302122213 (base 4) to base 14\nAnswer: 922c07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-30))\/((-8)\/(-645)). Let m be ((-4356)\/(-1088) - 4)\/((-2)\/(-12598)). Let n = w + m. Find the common denominator of n and -41\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1959 - 9177 = -2*w. Suppose -4*r = 3*d - 11121, 2*r + 6*d - w = 2*d. Suppose -z - r = -2*x, 4*x - z - 3054 - 2506 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let q(k) = -10*k. Let z be -1*(14 + -3) - -3. Let d(j) = z*v(j) - q(j). Let w(p) = -6*p**2. Calculate d(w(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 8 - 8, 3*l = 2*o - 18. Let c(z) = -z**3 + 9*z**2 + 11. Give c(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -253 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13961.7014572903 and -6.\nAnswer: 13955.7014572903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 (base 7) in base 4?\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 6*n. Let z(d) = 5*d**2 + d + 6. Let w(p) = 4*p**2 + 5. Let f = 76 - 82. Let t(u) = f*w(u) + 5*z(u). Give 3*h(m) - 4*t(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -233013 (base 4) in base 11?\nAnswer: -22a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwyf when four letters picked without replacement from {f: 1, u: 2, b: 1, w: 1, q: 1, y: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 + 71 = 0. Let m be (-3 - 2)*(0 - -1). Let b(o) = o**2 + 3*o + 2. Let x be b(m). What is the highest common divisor of x and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*l - 3946 = 0, -l = -5 + 3. List the prime factors of z.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 2*m - 48. Let c be j(-7). Sort 2, c, -1 in increasing order.\nAnswer: -1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17940 and 2691?\nAnswer: 53820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -2*x + 1 - 12, x = 3*h - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572961 is divided by 72?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1205 (base 8) to base 7\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 7 + 10*k**2 + 3 + 6*k - 2. Suppose -81 = -35*j + 44*j. List the prime factors of u(j).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(3\/(-26)) + 0. Suppose 4*s = -v + 23, -4*v + 109 = -2*s + s. Suppose 23*f - v*f + 260 = 0. What is the highest common divisor of k and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-7 - -16 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/13 (b) 779 (c) -2 (d) 0.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17948\/5128*88\/(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 450911799204 + -63264729075895115\/140304. Let a = -2\/8769 - i. Find the common denominator of 2\/9 and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50865916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/10 of a microgram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 25 - 49*r**3 + 0*r + 4*r.\nAnswer: -49*r**3 + 4*r - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-1 + (-5)\/(-15)). Factor 0 - 2\/9*t + 2\/9*t**v.\nAnswer: 2*t*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/24115 and 37\/3?\nAnswer: 72345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 - 45*n - 149 + 53*n + 443 - 152.\nAnswer: 8*n - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.5, -2\/17, 4, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + (0 - 0) - ((123 - 259) + 136)) + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25\/41 + 1598\/2419. Let c = i - -3415\/1298. Calculate the common denominator of c and 34\/((-24)\/10*-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {t: 3, a: 3, x: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/12 - x**4\/12 - x**3\/6 + 351*x**2. Let w(r) = -40*r**3 + 9*r + 5. Determine -9*p(o) - 2*w(o).\nAnswer: -10*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -7*n**6\/30 - n**4\/12 + 91*n**3\/6 - 12*n**2 + 14*n. Find the first derivative of a(s) wrt s.\nAnswer: -84*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 1 h when three letters picked without replacement from uruhzhuzuyzry.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-10) + (-2)\/10. Let x be (-12)\/30 + 42\/p. Suppose -x*z + 5*z = -75. Calculate the greatest common factor of 10 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 4:56 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Let a(r) = -g*r + 3*r - 5*r**2. Let b(p) = 6850 + p - 6850. What is a(b(i))?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4374074 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*139536\nAnswer: -55814.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3677078, 7354132, 11031198, 14708282, 18385390, 22062528, 25739702, 29416918?\nAnswer: 33094182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3 + 29*f**2 + 532*f - 7220 = 0. Calculate f.\nAnswer: -19, 10, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + y - y + 98*y**4 - 30*y**4 + 12*y**4 + (5*y**3 - 2*y**3 - 2*y**3)*(-y + 3*y - 4*y) - y + y**4 + y.\nAnswer: 81*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11*o + 2. Suppose 0 = 5*l - 25, 6*l - 29 = m + l. Let g be u(m). What is the tens digit of 1\/(2\/(g\/1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**3 + 224*d + 56*d**3 - 228*d)*(-1 + d + 1).\nAnswer: 51*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (2 - (-16)\/(-10))\/((-23)\/(52440\/80))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10704.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 21318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -245 - -250.8. Let g = -6.03 + s. Which is the second smallest value? (a) g (b) -2\/9 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39*-2)\/2*(-2)\/18*3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1, 3, -4546 in decreasing order.\nAnswer: 23, 3, 1, -4546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.452 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 289*x**4\/9 + 2176*x**3\/9 - 134*x**2 + 24*x + 1300. Factor n(r).\nAnswer: 4*(r + 6)*(17*r - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10227 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34247707 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-254 + 260 - (12 - 1)) + -5\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 292 + -322.3. Let h = -8.1 - q. What is h rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.096103ml?\nAnswer: 0.009096103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((160\/(-12))\/5)\/((-4)\/(-7457484)). Let u = c + -728344. Round u to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*g + 504. Is (g\/(-48) + (-6)\/8)*-122 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {j: 2, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*l + l - 4*a, -4*l + 3*a + 39 = 0. Suppose 5 = d - 2*u, 4*u = 2*d + u - l. Suppose v + 4*f = 24, -4*f = -3*f - d. Solve -4*y - v = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - i - 26 = -5*i, 0 = 4*c + 5*i - 49. Suppose b = 2*a + 2, c = 4*b - 10. Suppose -3*y - a = 5. What is the nearest to 1 in 1, -1\/6, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = -60. Let q be (-8)\/m + (-33)\/(-5). Suppose 2*s + 5 = q*s. Sort s, 3, 4 in decreasing order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2951*d + 57323. What is x(20)?\nAnswer: -1697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*o = 20, 13 - 43 = -3*u + 2*o. Let r(z) = 21 - 30 + u. Let f(l) = 3*l + 3. Suppose -2*t + 2 = -0*t. Calculate t*f(v) - 3*r(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3287, 3272, 3253, 3236, 3227, 3232, 3257, 3308?\n\"Answer: b**3 - 8*b**2 + 2*b + 3292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, t: 2, s: 5, l: 8}. Give prob of picking 1 t and 2 j.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 130912015?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/26 - 0). Suppose 7*z = -n + 2*z + l, 4*z = -5*n + 2. Let d be (8\/12)\/(n\/(-21)). Solve -2*f = 2*b + 8, d*b + 8 = f + 2*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -15*s - 509. Let c be b(-34). Put -57, 5, c in decreasing order.\nAnswer: 5, c, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9*z - 10*z = 8185, 13644 = 5*v - 4*z. Suppose 3*f = -m + 4099, 0*m + 4*m + v = 2*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504 = -20*x + 2192 - 828 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 493 + -703. Let u = y + 210.0159. Round u to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-47.7.\nAnswer: -19.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -53079 divided by 1?\nAnswer: -53079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**3 + 11*b**3 + b**2 + 47 - 2*b + 2*b**3 wrt b?\nAnswer: 12*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3580, 2, 1732 in increasing order.\nAnswer: 2, 1732, 3580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 78494281 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c - 126. Let n be y(23). Suppose -2*m = 20 - 150. Suppose n*a - 13*a = -m. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 2*z\/3 + 1.\nAnswer: -(z - 1)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + 2*n. Let b = n - -3. Find the third derivative of -2*r**2 - r**b + 0*r**2 - 4*r**2 wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 = 0, -2*c - i + 2*i = -9. Suppose -10*l + c = -9*l. Let t(z) = -z**2 + 4*z. Let o be t(l). Solve 3*v - 4*v + 2 = o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 + 19*t - 4. Let i be u(9). Solve 0*y = 2*y - i*k - 28, 3*k = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfffffffffffffffcfff. Give prob of picking 1 c and 2 f.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 765998262 by 6.\nAnswer: 127666377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 4*v**3 + 3*v**2)*(-3*v + 0*v + 4*v + (0 + 0 - v)*(-7 + 4 + 1)) + 0*v**4 + v**4 - 2*v**4.\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x*x**1*x)\/x*x))**41*(x*x**(-1\/2)\/x)\/x*x**5*x)\/(x**0\/(x*x**(-2\/3)))**(-8\/3) assuming x is positive.\nAnswer: x**(-2149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7))**(1\/53))**32 assuming t is positive.\nAnswer: t**(64\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2346*p - 1461*p - 1296*p + 5.\nAnswer: -411*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-45))\/(110724\/(-26988975))?\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 4*t**3 + 0*t**3)*(-2 + 6 - 3 - 30*t).\nAnswer: -30*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5 + 1. Suppose -605 = -c*w - w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 823410, 1646805, 2470202, 3293601, 4117002, 4940405, 5763810?\nAnswer: 6587217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2342 and 3342.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a86a - 323?\nAnswer: -ab91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 * -0.1796\nAnswer: 0.64656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -2. Let t = 4 - x. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.931727 micrograms in milligrams?\nAnswer: 0.000931727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3704?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 15*z = 40181. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1780 = -l - 2*q, -118*q = 3*l - 123*q - 5351. Calculate the remainder when l is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 6*d**2 - 6*d - 2. Let n be k(-5). Suppose -13 = -u + 3. Suppose -3*y + 11 = -u. Solve -3*b + y = n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025772 rounded to six dps?\nAnswer: -0.000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a meter in millimeters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -557 * 99.\nAnswer: -55143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1125257*r + 1 - 3 - 2 + 3.\nAnswer: 1125257*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-243)\/(-18)*2\/18.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169.24*0.3.\nAnswer: -50.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 6*i**2 - 9*i - 9. Let a be v(-7). What are the prime factors of (-3)\/a - (-115)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 1. Let v(n) = -7*n + 2. Let i(h) = 5*r(h) + v(h). Suppose -10*f - 20 = -15*f. Let a(t) = 4*t + 5. Calculate f*a(u) + 7*i(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -1)\/(-3)*2. Let z = 332 - 334. Let w = -23.3 + 23.28. What is the closest to c in z, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/15, -10, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2804.874 and -16266.2.\nAnswer: -13461.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1882 - -3474. Is 77 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p + 8 = 0. Suppose -j + p = 2. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(3 + sqrt(405)) - sqrt(405))**2 - -2*(-4 + sqrt(405) + 3 - sqrt(405))**2)*-5.\nAnswer: 6480*sqrt(5) + 37880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 0.4. Suppose -19*f = -23*f + 8. Let h be 15\/(-12)*f*12\/(-20). What is the closest to -0.1 in j, h, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439 divided by 1.\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2. Let i(c) = -3*c - 9. Let b(o) = -i(o) + 7*m(o). Let r(n) = -3*n. Give b(r(s)).\nAnswer: -9*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -16364?\nAnswer: 16363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0378768 rounded to 5 dps?\nAnswer: -0.03788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -2\/23, 59\/12 in decreasing order.\nAnswer: 59\/12, 0.1, 0, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j + 159. Calculate k(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/492 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 41 = 23*t + 2*z, -z - 152 = 35*t + z - 353 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 15. Let v(y) = 459*y - 12848. Let u be v(28). What is the third biggest value in 0.055, z, u?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5\/3 + 46*b**4\/9 - 92*b**3\/9 + 20*b**2\/3 + 2*b\/9 - 10\/9 = 0.\nAnswer: -1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 56 = 8*u - 5*u, 4*u - 86 = a. Suppose 0 = 23*b - u*b - 231. List the prime factors of b.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 5*i - 4. Let n be q(4). Let v(p) = -p**3 - 21*p**2 + 23*p + 29. Let y be v(-22). Solve -4*g = n, a - y*g = -2*g + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16338134?\nAnswer: 2, 8169067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/10 - 8\/20) + -1. Let j(i) = -i**2 - 7*i - 4. Let f be j(a). Solve 0*k = 2*k - f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*a**3 - 2\/3*a**2 + 0 + 4\/3*a.\nAnswer: -2*a*(a - 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16810 or 16809?\nAnswer: 16809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/8)\/((-1)\/2). Suppose -m*w - w = -5*z - 3, 4*z = 5*w - 6. What is the first derivative of 1 - 3*c + c + 5*c - w*c wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p. Suppose 0 = -5*y - 5*i - 25, 2*y - 5*i + p*i = 25. Suppose -k + y*v + 4*v - 12 = 0, 5*v = 5*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*y - 4*v - 19, -10 = 5*v. What is the nearest to 0.2 in -0.08, y, -5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 27. Suppose l = -r*o + 14, -4*l + 2*o - 24 = 6*o. Let a(b) = b**3 + 12*b**2 + 7*b + 10. What are the prime factors of a(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Suppose -9*r = 16 + 2. Let b(m) = -6*m. Give r*b(c) - 11*h(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71537 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-5*-4)\/(sqrt(12) - (sqrt(12) - -3*sqrt(768))).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8459327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1114442303 - 44?\nAnswer: 1114442204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 1*sqrt(208))*-3 + sqrt(208))\/(-2*sqrt(576)).\nAnswer: 5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, -2\/59, -10\/7, -4, -15\/2?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145131 - 145131 - 904*f - 190*f to v*f + k and give v.\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62173\/1869643 + -3\/26333. Let a = m + 6\/71. Let h = -4 - -3.6. What is the third biggest value in h, 1, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001605 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 54, 71, 108, 171, 266, 399, 576, 803?\n\"Answer: u**3 + 4*u**2 - 2*u + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761.7272g to milligrams.\nAnswer: 761727.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*l + 2, 7*l - 11*l + 7 = 5*s. Suppose -5*w + 31 = s*t, -4*t + 3*t = 3*w - 17. Solve -t*i + 6 = -m, 5 = -3*m - 2*i + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019262 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*i + 14, 2*i + 12 = 5*i. Let o = 1.1 - 2.1. Is o less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -269*y**2 + 3258*y + 16. What is v(14)?\nAnswer: -7096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5785, -4, -5, 12, 2 in increasing order.\nAnswer: -5, -4, 2, 4, 12, 5785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1319 = 51*o + 69 - 288 + 430 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 8*i + 11. Let a be p(7). Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*i**2 - 370*i**5 + 374*i**5 - 15*i**2 + 9*i**6 wrt i?\nAnswer: 1080*i**3 + 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9132 - 13232. Calculate the common denominator of 4\/7 - j\/(-168) and ((-1)\/25)\/((-12)\/(-1590)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, b: 2, t: 1, a: 2, z: 1}. Give prob of sequence mbza.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 980550392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*c**2 + 2)*(43*c - 785 + 785).\nAnswer: 129*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 5.5. Let o = g + 1. Let z = -1.96 + -0.04. Which is the second biggest value? (a) z (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -161a95?\nAnswer: 161a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 0.0297.\nAnswer: -12.0297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 3*u**4\/8 + u**3\/6 - 4*u**2 + 8*u. Let k(j) be the first derivative of n(j). Is 9 a factor of k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, 9243, 7 in ascending order.\nAnswer: -10, -4, 7, 9243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 1, a: 6, s: 1}. What is prob of sequence so?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + -5. Let b = -17 - q. Solve 2*n + n = b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45055 is divided by 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -510*w - 1334. What is the remainder when 413 is divided by o(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 10*t**2 + 7*t - 13. Let n be c(-9). Suppose 3*o = n*x + 4*o - 113, 0 = 3*x - 5*o - 51. What is the smallest common multiple of x and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/8 - (90\/8 - (11 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 2)\/(1\/(-7)) + -3. Find the third derivative of -4 + 156*k**p + 2*k**2 - 147*k**4 + 0*k**6 + 2*k**6 wrt k.\nAnswer: 240*k**3 + 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.7799839 and -118321.\nAnswer: -118322.7799839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {u: 4, j: 2, g: 3, i: 1}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m - 76*m - 52*m.\nAnswer: -161*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000720567 rounded to 7 dps?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.046 or 684?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 23. Let k = c - 9. What is the second smallest value in k, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 24 = 5*c, 4*l + 5 = -c + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6.99. Let q = 0.29 - f. Sort -1, q, -1\/4 in decreasing order.\nAnswer: q, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 3*s - 1 + 23 + 12.\nAnswer: -s + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 20, 4*s - 10 = 5*d - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4754045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22210112020 + -21022?\nAnswer: 22210020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 10) to base 5.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 - v - 1. Let q be l(-1). Sort 0, -5, q in decreasing order.\nAnswer: 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 39*g + 83. Let k be o(20). Are -291 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 574, 0.2, -0.2, -2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 + 284 = -10*o - h, 8*o + 8*h = 3*h + 155 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08264335 to four decimal places.\nAnswer: 0.0826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 398 by 18211.\nAnswer: 398\/18211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/9)\/(y\/y**(-1)))\/(y\/(y**(5\/4)*y))**(-2\/31))**(-17) assuming y is positive.\nAnswer: y**(15521\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-39)*(-198)\/(-132).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75766 or 2348774\/31?\nAnswer: 2348774\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1 + 1 - l - l + 1. Determine a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4 - 1168*o**3 - 2339*o**2 - 1170*o = 0.\nAnswer: -1, 0, 1170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -1\/24*h**8 + 0*h**6 + 0 + 0*h**3 + 0*h**4 + 0*h - 13*h**2 + 0*h**7 + 3\/10*h**5. What is the third derivative of s(p) wrt p?\nAnswer: -840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssgr when four letters picked without replacement from {r: 2, s: 3, z: 10, g: 1}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700)*-5 - (sqrt(153)*-2)\/sqrt(9)) + (sqrt(136)\/(sqrt(8) + sqrt(128)) - (2*sqrt(119))\/sqrt(7))*3)*4)**2.\nAnswer: 19390608\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -199.8325 - -17.213\nAnswer: -182.6195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 != -145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*m**2 + 14*m - 23*m + 11*m in the form w*m**2 + b*m + y and give w.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 10*p**2 - 11*p - 2. Let s be f(9). Let h = s - -38. What is the least common multiple of 2 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:03 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-99) + (-18)\/81. What is the fourth smallest value in 8, 1\/3, q, -5\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000601 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**4\/4 - 16*c**3 + 49*c**2\/2 + 2*c - 35. Let t be z(-49). Suppose -t*b - 3 - 1\/3*b**2 = 0. What is b?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38789998553 + -0.1?\nAnswer: 38789998552.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229 - b**2 - 229 + 2*b**2 - 14*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (-22 + 2 + (23 - (-19 + 21)))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -3, 4, -1\/4, -0.1, -2.6 in descending order.\nAnswer: 4, -0.1, -1\/4, -2.6, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64542044887 from -11.3.\nAnswer: -64542044898.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174884.3 rounded to the nearest 1000?\nAnswer: 3175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335363*z**3 - 4*z**2 - 4547810*z wrt z.\nAnswer: -2012178*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 8. Give d(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)*a**(-4))\/((a**(-2)\/a*a)\/a)**(2\/35) assuming a is positive.\nAnswer: a**(-484\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 1)\/((-3)\/(-4)). Suppose j*f = 5*v + 7, f - 3*v + 2 = 2*v. Suppose 5 = 4*m + 1. Solve 0 = -4*y - f - m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 33 = 6*q - 3*q + 5*n, 4*n - 25 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 882 divided by 63\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**5\/24 + 5*o**4\/24 - 10*o**3\/3 - 31*o**2. What is f in t(f) = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -344, -693, -1044, -1397?\n\"Answer: -b**2 - 346*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 0.3, -3, -1.2, -92?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 266536 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 853 (base 9) to base 7.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(704) - (4 + (sqrt(704) - (sqrt(704)*-2 - sqrt(704))))) + 2 + (sqrt(704) - (2 + sqrt(704))) + sqrt(704) + -1)**2.\nAnswer: 800*sqrt(11) + 14205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*a - 5656 = 1042, 6692 = 2*n + 5*a. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*p**5 - 28*p**3 + 28*p**3 + 3*p**5 - 2*p**5 + 0*p**5 + (0 - p**2 + 0)*(p - p**3 - p) - p**5 + 3*p**5 + 0*p**5 + 2*p**3 - p**5 - 2*p**3.\nAnswer: 40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 1 = 7. Let p(d) = -520*d + o + 0*d**2 - d**2 + 526*d + 0*d**2. What is p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 80*c + 219. Calculate u(-5).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = h - 11, -5*h - 2*w + 29 = -w. Let b(i) = i**2 - 6*i + 5. Let p be b(h). Suppose -u - 47 = -5*l + 91, 0 = p*l + 5*u - 120. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7691 * -0.2\nAnswer: 1538.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2939491046 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 17 = -7. Suppose -4*q + o*q - 50 = 0. Suppose 161 + q = 3*v. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 3:21 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 655423.7463?\nAnswer: 655428.7463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 11) to base 13\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t + 6. Let q(s) = -s**3 + 3*s**2 - 3*s + 4. Let z be q(3). Let w be a(z). Suppose 21 = 2*r - w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*y + 2*q, 2*y + y + 2*q - 10 = 0. Suppose y = -i + 4*u + 22, 3*i + 2*u + 2 = -i. Suppose 0*w - i*w = -386. What is w rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12328 = 603*i - 9969 + 25982 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -93.25. Let s = y + 10. Let g = 0.6 + s. What is g rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/4 - (-1 - 4). Solve 5*z = 2*w + w, t*w = -4*z - 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 193606*w - 789*w**4 - 193606*w + (3 - 3 + 2*w)*(-2*w**3 - 2*w**3 + 3*w**3).\nAnswer: -791*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r - 80. Let h be f(-16). What is the closest to 1 in -0.07, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 575*v**2 + 3 + 11*v**3 + 569*v**2 - 1140*v**2 as h + s*v**3 + k*v**2 + j*v and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 4, t: 1, v: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 801 and 310095936.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4688 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/4, -3, -5, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from bcsglscchcgb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 12:15 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -14. Solve -z*p + 7*p - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-6)*i\/(i*i**0)*i**(-5)*i\/(i**(6\/7)*i))\/((i*i**5)\/i*i*i\/(i\/(i*(i\/i**(-3)*i)\/i)))**(1\/28) assuming i is positive.\nAnswer: i**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580 + 246 + 101*f**3 + 54.\nAnswer: 101*f**3 - 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375983.\nAnswer: 375983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 169542?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) - (-30)\/9. Let z be p\/(-10) + (-48)\/(-20) + 0. Let v be ((-245)\/15*z)\/((-2)\/3). Calculate the greatest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + d?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1436245 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 25*d + 77. Let s be q(15). Solve -2*c - 12 = s*b, 0 + 5 = -5*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1184 - -1088.6. What is c rounded to zero dps?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -262*a + 1045. Let x be j(4). Let z = 0.2 + -9.2. Put 3\/4, x, z, -0.2 in increasing order.\nAnswer: z, x, -0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(28))*-6.\nAnswer: -12*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 7 - 5)*(3*x - 5*x + x)*(3*x + x - 5*x)*(-3*x + 2*x + 4*x)*(3*x + 2*x - 2*x).\nAnswer: 153*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + s = -2, 6035*v - 3*s - 6 = 6039*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -3*f + r - 9, 4*r - 15 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide ((-8)\/12)\/(1\/15)*-32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1356 + -1353. Solve -5*l + 4 = 3*c - 9, c = m*l - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16011, 63758, 143209, 254364?\nAnswer: 397223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -120 (b) 0 (c) 1\/2 (d) -3 (e) 0.3 (f) 0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 4*q**2 + 4*q + 16. Let t be y(-5). Let p = -19 + t. Put p, -0.4, -2\/3 in descending order.\nAnswer: p, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-2*1) + 286\/286. Solve -2*f + 5*z = -10, -5*f + 3 = -j*z - 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 18, 52, -89, -3, 0.11, -5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 85 + 21 = 0. What are the prime factors of 2*1178\/r - 5\/20?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132428977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1560*h - 477 = 1613*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*n - 19*n + 14*n.\nAnswer: -73*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 3767*y + 3792*y - y**2 as s*y**2 + l*y + v and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/11360 and 67\/4892752?\nAnswer: 48927520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + -24)*(-2)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 1195 = 1115. Let b = k + 775. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3*r - 30 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 5, 8, -20.\nAnswer: -20, 0, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86787*s + 86822*s + 280 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -109085 <= -109087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 1. Let u(h) = -224*h - 3. What is u(s) - 3*x(s)?\nAnswer: -233*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 437 = 463. Calculate the remainder when 193 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58568321*u**6 - 9720789*u**2 - 2?\nAnswer: 7028198520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 13*k - 9*k - 83, -k - 4*w = 3. Suppose k*h - 106 = 574. Calculate the highest common divisor of h and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.52, 11066, -1\/4 in descending order.\nAnswer: 11066, 4.52, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -22 + 1 - ((-122585346)\/(-10416))\/(-559)\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26132 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-6 - (-16 - 24 - -29))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-6*(0 + sqrt(1331) + 0))**2 + -3)*3*1.\nAnswer: 1293723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2120 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484340.\nAnswer: 2, 5, 61, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10 = a - l, -a - 5*l - 17 = 0. Suppose -n + a*n = 10. Suppose -2*y + 45 = n. Calculate the smallest common multiple of 10 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 729*h**4 + 4617*h**3 + 5292*h**2 + 2224*h + 320 = 0.\nAnswer: -5, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8306980, -16613964, -24920948?\n\"Answer: -8306984*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 178699171 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:16 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2342.177 nanograms to micrograms.\nAnswer: 2.342177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*f + 108*f - 562*f + 131*f + 126*f + 2.\nAnswer: -83*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2. Let v(f) be the third derivative of -673*f**4\/12 - f**2 - 595. What is v(k(u))?\nAnswer: -1346*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) + -2 + 5\/10. Let r = a + 6. Let l(k) be the third derivative of -k**5\/60 + 5*k**4\/24 + k**3\/6 - k**2. What is l(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*t*z - 5151113*t - 832270236*z wrt t?\nAnswer: -41*z - 5151113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -132675*l**3 - 130610*l**3 + 267397*l**3 + (4 - 5 - 1)*(-3*l**3 + 6*l**3 - 2*l**3).\nAnswer: 4110*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*j - 1452 = -123*j. Put -4, j, 1, 23 in decreasing order.\nAnswer: j, 23, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1\/3939344?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**2 + 4*n - 2. Is v(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.82 rounded to 0 dps?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n - 10. Let h(u) = 4*u - 9. Suppose 0 = -2*b - 2*g + 4*g - 10, b + 11 = -5*g. Let q(l) = b*h(l) + 5*c(l). Determine q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 - 0.02. Let q = i + 0.1. Let u = 2.2 - q. Is 2 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) -6 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2394 = 2*h - 4*m, m = 5*h - 2*m - 5950. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (693\/(-154))\/(4\/8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 + 32 - (9 + -4). What is the highest common factor of u and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 22. Let g = -12 + 20. Suppose 4*b**5 - 2*b + 4*b**2 - 4*b**4 - 5*b**x + g*b**3 - 5*b**5 = 0. What is b?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (-37 - -24) + (6 - -14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 52. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -564 by -318504.\nAnswer: 47\/26542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 5*n - 2*n)*(9*n - n + 26*n)*(0 - 3 + 1 + 3*n) in the form q*n + p + h*n**2 + u*n**3 and give h.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (4 - -2)) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 6*g + 4*g. Let n be g\/3 - (-3)\/(4 + -3). Suppose -3*t = -0*t, n*s = 5*t + 402. Does 38 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -6. Suppose -r*t - 3*v = -25, 2 - 23 = 2*t - 5*v. Suppose 0*k = -t*k + 4*o - 960016, 0 = o - 4. Round k to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 70, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 56\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -10*v + 10043. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 2*f - 6*f + 2*t, 3*t = 9. Solve f*i + 8 = 18*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 311 and -225730.\nAnswer: -70202030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 478, 74, -330, -734, -1138, -1542?\n\"Answer: -404*t + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11025800 rounded to the nearest 100000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 17.523794\nAnswer: -8.761897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1439.8155 - -1471.56. Let v = -0.0055 - f. What is v rounded to zero decimal places?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2174 = -3*d + u, -u + 0*u = 2. Let y = -300 + d. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11454 + 145341?\nAnswer: 133443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64456 - 148424 = -33*i + 13*i. List the prime factors of i.\nAnswer: 2, 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*d + 368, 4*r + 5*d = 9*d + 360. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t**2 + 3*t**3)*(-58*t + 39*t + 41*t).\nAnswer: 66*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ililii. Give prob of picking 1 l and 3 i.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3302013 + 640?\nAnswer: -3301043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - v + 4)*(-43 + 8*v + 43) + (0*v + 0*v - v**2)*(-5 + 1 + 5) - 3*v + 3*v - 5*v**2.\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10)*v**(-8) assuming v is positive.\nAnswer: v**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10798374, -21596747, -32395120, -43193493, -53991866, -64790239?\n\"Answer: -10798373*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 10*v**2 - 7*v - 1. Give d(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -555\nAnswer: 277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 + 2*v - 5. Let s(j) = j + 5. Let d be s(-10). Determine m(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from mxtooxxtmojoxt.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 107, 166, 295, 518, 859, 1342, 1991?\nAnswer: 2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 640549 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 25. Let f = t - 17. Is 8 a factor of -6 + (1 - f) + 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 6679?\nAnswer: 6683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -163*s - 4. Let r be j(1). Let w = -1838\/11 - r. What is the closest to 0 in 0.1, -10, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 27270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q - 27. Let t be m(-5). Let l(y) = y**3 - 9*y**2 - 15*y + 50. Let c be l(10). Which is greater: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25730 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8*((-141460)\/80 + 2)?\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 195194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -5, -51 in descending order.\nAnswer: 2, -3, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.508 * 0.11.\nAnswer: -1.26588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/60 - 127\/420. Let k = 1.98 + 0.02. Suppose z + 4*t - 37 = 0, -z - 41 = -4*z - 2*t. Which is the closest to x? (a) k (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -2\/15, 2\/5, 2 in descending order.\nAnswer: 2, 2\/5, -2\/15, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18466*g + g**2 - 3267*g + 638*g - 21168*g.\nAnswer: g**2 - 42263*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*l - 3*d - 4 = 270*l, d = -4*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5036 - -5311. What is the greatest common divisor of 15 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*s**2 + 12 - 16*s + s**3 - 4*s**3 + 64*s + 9*s**4 + 45*s**3.\nAnswer: 3*(s + 1)**2*(s + 2)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 9 + 8*c - 3*c)*(-2 + 2 + 2 + 0 + 0 - 1 + (2 - 1 + 1)*(1 - 4 + 1) - 1 - 2 + 4 + 3 - 2 + 1 + (-6 + 0 + 3)*(13 - 3 - 11) + 0 + 0 + 6).\nAnswer: 18*c + 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 2 d when four letters picked without replacement from {b: 7, s: 1, d: 3, q: 4, y: 3}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Let b(o) = 0*o**2 + 15823 - 5*o**2 + 2*o - 15825 + o**3. What is b(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -64. Suppose -5*w = 5*v - 15, -y = -4*v + w - 7. Solve 3 + v = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-120))\/(1\/4)*47\/((-20539)\/(-138))\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 l when four letters picked without replacement from ooollllololol.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let l = -1851 + 1864. What is the nearest to m in l, -2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 16. Suppose -3*m - 24 = -r*h, -2*h = 2*m - 0*m. Which is the biggest value? (a) -0.1 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/414 and 71\/56350.\nAnswer: 507150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19925968241 + -9433403183.19925968241. Let s = 9433403068.00000051 + b. Let h = s + 115. Round h to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 521, 498, 489, 500, 537, 606?\n\"Answer: q**3 + q**2 - 33*q + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -12. Suppose -4*h - 76 = -4*i, 3*h + 73 = 4*i - t*h. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11657711 and 3887?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2722 + -2703. Solve y + k = -j + 13, 4 = -2*j + 2*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*g - 5*g + 2*g)*(-3*g**3 + 2*g**3 - 2*g**3) + g**4 + 3*g - 3*g)*(16 - 6*g - 16 + (-3*g + 5*g + 0*g)*(-1 + 0 + 3) + 1 - g - 1).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = k - 4, 0*k - 3*k - 8 = 4*j. Let z be (-4 - (k - 4))\/(-4). Let n(p) = -p + 17*p - 3 - p**2 - 15*p. Determine n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 5*i**2 - 2*i + 1. Calculate y(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i = b - 11, 3*i = 5*b - 33. Suppose -m + 3*j + 10 - 23 = 0, -3*j + 25 = 5*m. Differentiate -4*s**2 + 8 + 3*s**m - b*s**2 + 10 wrt s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**4\/12 + 5*g**2. Let r(k) be the first derivative of -6*k**2 - 2942. Calculate v(r(w)).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let m(z) = 2803*z + 1. Give p(m(j)).\nAnswer: -2803*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2. Let d(m) = 4175*m**3 - 24*m**2 + 12163*m. Let p(a) = -d(a) - 6*j(a). What is the second derivative of p(f) wrt f?\nAnswer: -25086*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomoommmoo. What is prob of picking 2 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/(28\/126*6\/5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3093230 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*h**4 + 0*h**3 + 9*h**4 - 72*h**2 + 14*h**4 + h**3 - 38*h**4 + h in the form u*h**3 + a*h**4 + r*h + y*h**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1878861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 21 + 17 - 38 - 4*k**2. Let n(v) = -7*v**2. Give n(g(m)).\nAnswer: -112*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 0*c**2 + 3*c**2 - 4*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 5)*(0 + 0 - q) + q - 2*q + 0*q - 3 + 3 - q + 4162*q + 1440*q + 729*q as j*q + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*z**2 + 7 - 7.\nAnswer: -99*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/2735248 and 59\/148.\nAnswer: 101204176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:14 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65577\/413 - 822\/59. Let q = -173 - p. Which is the third smallest value? (a) 0 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/27807 and -53\/16237.\nAnswer: 34730943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 6*l - 2. Let y be a(-7). Let d(p) = p**2 + 2*p - 13. Let m = 17 - 4. Calculate the remainder when d(y) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.396 rounded to one dp?\nAnswer: -111.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 4912.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5681 = -5*t, 59*f = 60*f - t - 1420. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2031 + 10?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 64*b**3 - 21*b**2 - 30*b + 14. Let d(m) = 13*m**3 - 4*m**2 - 6*m + 3. Let h(y) = -11*d(y) + 2*g(y). Let c be h(5). Round c to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 3*l - 1. Let m(r) = 2*r**2 + 2*r. Suppose 86*d - 82*d + 12 = 4*q, 0 = -2*q + 4*d + 4. What is q*m(y) + 3*b(y)?\nAnswer: 2*y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 351951647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56170361*l**4 - 4*l**3 - 354795293*l**2.\nAnswer: -1348088664*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43\/38 - 1. Let z = u - 333\/76. Calculate the common denominator of 109\/10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4\/5 (b) -0.2 (c) 759\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 3*r**2 - 2*r - 2. Let t(h) = h**3 + 8*h**2 + 9*h + 24. Calculate the remainder when o(5) is divided by t(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9502 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141057 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -20*x + 2749. Determine r(137).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.00542mm in centimeters?\nAnswer: 7.400542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3765*z - 433*z**2 + 351 - 473*z**2 + 931*z**2 - 1861.\nAnswer: 5*(z + 151)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12385 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2788400419?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s. Suppose -5*v + 0*v = s. Suppose v*b = -4*b + 44. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65601539?\nAnswer: 65601539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 3*g + 3. Let s = -4 + 2. Let d be s - (43\/1 + 0). Let h = 23 + d. Let n(y) = -6*y**2 - 16*y - 16. Calculate h*o(a) - 4*n(a).\nAnswer: 2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.37 from 0.743.\nAnswer: 0.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 19*r + 17. Determine k(-14).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - -1) + 14 + 27 + -41?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 242156558 divided by -46?\nAnswer: -5264273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14214311 (base 5) in base 7?\nAnswer: -1154503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13319297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 + (-21)\/7 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m + 0*m + 4*m - 4*m + 39. Does 2 divide b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6941*z - 19573*z + 3107*z.\nAnswer: -23407*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 5*q**2 - 14*q + 23. Let c be f(7). Let s = c + -19. What is the units digit of (177\/s)\/(13\/52)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - 14\/3. Let w(k) = k - 11. Let z(v) = 2*v - 12. Let j(q) = -3*w(q) + 2*z(q). What is j(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - 3*l**2 - 2*l - 3. Let c be g(3). Suppose 0 = -2*o - 4*o + c. Solve o*z = -2*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**6\/120 + 3*p**5\/40 - 3*p**4\/16 + p**3\/6 + 18*p. Factor f(m).\nAnswer: -m*(m - 4)*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:50 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 19 + 1 = 0. Let y be (-1 + -1 - 20\/(-25))*s. Let i = 73 + y. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 + -4.36. What is the nearest to -0.1 in v, -0.3, 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 7. Let s(z) be the third derivative of z**4\/12 + 7*z**3\/6 + 3*z**2. Let r(f) = 5*s(f) + 4*w(f). Determine r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3600*a**4 + 1949.\nAnswer: -14400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1725\/399 + -1 - (-15)\/(-35)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (917\/786)\/((-2590)\/(-240))?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 9*n + 13. Let k = 10 + -6. Let d(s) = s**2 - 4*s + 6. Let i(y) = k*o(y) - 9*d(y). Differentiate i(w) wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298*l + 295*l - 3*o = -1545, -4*l = 2*o - 2056. Calculate the greatest common divisor of 108 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 6*l**2 - 7*l + 8. Let w be v(7). Suppose m + w = 6*g - g, 0 = 3*g + m - 8. Let b be ((-4)\/(-6))\/(g\/12). Solve 0*q - b*q + 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2) + (0 - (-4 + 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 2*q + 2*q)*(-39*q - 270 + 270)*(1 - 1 - 2) + (-29*q + 53*q + 50*q)*(-4*q**2 - 3*q**2 + 5*q**2).\nAnswer: -226*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8435 + -8085. Calculate the smallest common multiple of l and 55.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 580 (base 14) to base 6\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s - 145. Let z(a) = 2*a + 7. Calculate p(y) + 9*z(y).\nAnswer: 5*y - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elrluuelpeeblpe. What is prob of picking 1 b, 1 p, and 1 r?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 195 - 195.5. Which is the closest to 0? (a) p (b) -0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {g: 4, l: 3, i: 1, d: 7, r: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 2\/3 (b) 40 (c) -10 (d) -3\/47 (e) 35 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10558 - 7727. Calculate the highest common factor of 133 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-28) - (-22)\/4. Suppose -9*q = -n*q. Solve -h - 7 = s, q = 2*s + h + 3*h + 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6))**(-47)*l*l*l**12*(l\/l**3*l)\/l assuming l is positive.\nAnswer: l**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 201104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1038.42 - -0.1.\nAnswer: -1038.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*s - 372, -246 - 1302 = -4*n - s. Which is greater: 387 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -8 - (-2)\/1. Let t = n + 2. Let i(m) = m - 5. Let z be i(t). Let v(x) = -x**2 - 5*x + 3. Give v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2\/17 (c) -4600 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -10 + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 44. Let g(i) = j*i + 0*i + 3 + 6*i + 0. What is the tens digit of g(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/(-1197) + 4354\/(-63).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -215 + 237*u + 215 + (-4 + 5 - 2)*(2 + u - 2) + u - 4*u + 5*u in the form b*u + a and give b.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2106 = h, -2*d = -3*d - 3*h + 702. Suppose -i + d = 2*i. Suppose 86 = -4*j + i. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8640 - -8739) + (-216 - -2)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1606 (base 10) to base 11\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -542018\nAnswer: -3252108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-464)\/(-312) - (-11)\/((-572)\/8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -14 - -12 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 17 = n + 13, -3*q + 4*n + 1 = 0. Suppose q*j + 261000 = 6*j. Round j to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231148.2 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.8 plus 3280810.6?\nAnswer: 3280838.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.3 in -0.3, 68, -5, -8133, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47456524?\nAnswer: 2, 11864131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 i when four letters picked without replacement from iiiaainpfifiiiiinnc.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(5\/(-20)*3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 10*t + 11. Let o be h(-9). Let w = 11 + -11. What is the third derivative of w + 5 - o*q**2 - 5 - q**5 wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -245, -338, -489, -716?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 - -10?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 3*a + 0*a + (8 + 17 + 63)*(-4 + 1 + 1)*(-5*a + 3*a + 3*a).\nAnswer: -174*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w**4 - 7125*w**3 - 26028*w**2 - 18900*w + 9456 = 0.\nAnswer: -788, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/10 - 9 - 19\/(-15). Suppose -2*i - 3*i = 0. What is the closest to h in i, -2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 23*v + 3809 = 0. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 58*w - 1 - 2 + 2*w**3 - 53*w. Let c(n) = 3*n**3 + 6*n - 4. Let j be (-1 + -1)*12\/(-8). Give j*c(l) - 4*a(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1164338*n**3\/5 + 73586772*n**2 - 964434*n\/5 + 632\/5 = 0.\nAnswer: 1\/763, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5)*2 + 4.\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 34*f**2 - 58*f - 9. Let u be o(2). Solve -u*y - 203 = 18*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 3 = 72. Put -5, g, -3 in increasing order.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -58*(-1)\/2 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 + 6*r + 18. Let f(t) = -36 - t - t + 7*t**2 - 10*t - t. Let s(v) = 6*f(v) + 13*g(v). What is the first derivative of s(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-2 + 0 + 2 - -17) - (1 + -52)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14761 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = 11*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(100)\/sqrt(5) - (sqrt(50)\/sqrt(40))**2.\nAnswer: -5\/4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 16*h + 14. Let o be x(7). Let w(n) be the first derivative of -3\/10*n**5 - 1\/4*n**6 + 1\/2*n**3 + 3\/8*n**4 - 3 + o*n**2 + 0*n. Factor w(j).\nAnswer: -3*j**2*(j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 873, 1921, 3389, 5277, 7585, 10313?\nAnswer: 13461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121222 + -1011202220?\nAnswer: -1101101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324309 (base 10) in base 6?\nAnswer: 44215021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3) - 56\/(-105)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -336\/14893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (10 - ((22 - -15) + -8)) + 67\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1880073\/25270 + -3\/5054. Let c = i - -74. Let g = 9\/35 + c. Is 0 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000100000111111 (base 2) to base 7.\nAnswer: 1063201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-20)*20\/(-36). Let h = 0.35 + -0.45. What is the closest to h in 4, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(48)*6)**2*-3 + (-1 + sqrt(363) + -2 + 3 + -4)**2.\nAnswer: -82565 - 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24888 + 24890. Let h(z) = -78*z + 39. Let l(y) = 6*y - 3. What is g*h(t) + 27*l(t)?\nAnswer: 6*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 5*t**3 + 4*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 + -1129\/6. Suppose 4*j = -3*a - 20, 57*a - 3*j - 15 = 59*a. Which is greater: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -74, -60, -32, 10?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225 + -215. Let c(i) = -i**2 - 8*i + 2. Let k be c(-8). Suppose -3*f = -k*p - 7, -p - f + 6 + 3 = 0. Solve 3*o = -d - t, 0 = -p*d - 0*o - 4*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 3*c**2)*(2 + 1 - 4)*(78*c - 16*c - 56*c - 11) + (2*c + 5 - 5)*(2*c - 2*c - 2*c**2).\nAnswer: -22*c**3 + 33*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/297 and -115\/264.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 3.8. Let b = -3885\/13 - -299. Put -4, x, b in decreasing order.\nAnswer: x, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y + 195 = 0. What is the remainder when y is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.998236 - 0.001764. Let n = 0.06 - -0.06. Which is the nearest to 1\/4? (a) n (b) -0.3 (c) 0 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwvvwrvvvww. Give prob of picking 4 w.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from bttuuuubbtt?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6797381 is divided by 141612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a - 4*j = 134, 0 = 3*a + 5*j + 202. Let z = 73 + a. Solve -z*t = -3*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/3, -1.8, 2\/5, -3\/5 in descending order.\nAnswer: 20\/3, 2\/5, -3\/5, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2 - 27\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -9*d + 5. Let m = d + 14. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 145858*h - 437592.\nAnswer: 2*(h - 3)*(h + 72932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -129*t - 4779, 42 = -69*g + 74*g - t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0914056024896 less than -81?\nAnswer: -81.0914056024896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(-3*4\/72)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x + 79. Let q be c(-14). Let b(d) = 2*d**2 - 19*d - 8. Let m be b(10). Solve -k = m*k - q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450240 divided by 5.\nAnswer: 90048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -24, -5, 5, -2\/9, 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 44500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/39, 1\/3, -1\/305 in decreasing order.\nAnswer: 1\/3, -1\/305, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240953 or -240952?\nAnswer: -240953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(2268))**2 - (sqrt(2268) + -2*(-1 + sqrt(2268)) - sqrt(2268))**2.\nAnswer: 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*(3 + (sqrt(500) - sqrt(500)*1)*-3))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1998918 and 12.\nAnswer: 3997836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + (2 + sqrt(425) - sqrt(425)) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 836942777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/3 + (-32)\/48. Let j = -18 - n. Is -20 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3145 + 3141. Which is the nearest to 1\/6? (a) -9\/7 (b) -3\/2 (c) p (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -21 - 3) + -2 - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60039923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42564 + 302404 = 145*o. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-12))\/(((-765)\/80)\/(-17)). Sort -14\/3, f, 3 in ascending order.\nAnswer: -14\/3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 373597640?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*a - 6 = 0, -3*o + o + 26 = -2*a for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**5\/20 - 7*s**4\/12 + s**3\/3 - 33*s**2\/2 - 54*s. What is the least common multiple of 5 and q(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5580380 rounded to the nearest one thousand?\nAnswer: 5580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*y = -750*y - 330 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 203*i**2 + i + 2414. Let a(n) = -406*n**2 - 2*n - 4828. Let x(l) = 3*a(l) + 7*s(l). Differentiate x(d) with respect to d.\nAnswer: 406*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*o**2 - 727*o**2 + 2976*o**6 - 2 - 2072*o**2 wrt o?\nAnswer: 357120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15175169 is divided by 5271?\nAnswer: 5231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87036 = 879*t + 1154*t + 26812 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/1)\/(52\/(-26)). What is the second derivative of 90*x - 19*x - 115*x**5 + 29*x + 1 - w wrt x?\nAnswer: -2300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402941303 to the power of 1\/2, to the nearest integer?\nAnswer: 20073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1481609kg in micrograms?\nAnswer: 148160900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-three fifths of a decade?\nAnswer: 1752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1161229.22 * -3.\nAnswer: -3483687.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2 + 8. Suppose 3*j - 3*w - 22 = -w, 5*w = -25. Suppose -2*a + 10 = -a + j*v, -a + 5 = -v. What is the greatest common factor of a and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 2445\nAnswer: 2445.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2. Let r(h) be the second derivative of -h**5\/60 - h**3\/2 - 9*h. Let c(a) be the second derivative of r(a). What is g(c(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128 - (14 + (-29 + 35 - (-5 - 0)) + -38)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -10*b + 0*b**3 + 0*b**2 + 4 - 11\/4*b**4. What is the first derivative of v(f) wrt f?\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 82, 84, 86, 88, 90, 92?\n\"Answer: 2*d + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**4 + 11*s**3 - 11*s. Let m(y) = -10*y**4 - 34*y**3 + 32*y. Let z(u) = -8*c(u) - 3*m(u). Factor z(n).\nAnswer: 2*n*(n + 1)*(n + 2)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2. Let d(i) = -1821*i. What is d(h(z))?\nAnswer: 1821*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*q**4 - q**3 + 104.\nAnswer: 252*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 675 + 150c?\nAnswer: 1b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-312)\/65)\/(-7*(-30)\/525)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/11)*b*b)\/b)**(-1\/6) assuming b is positive.\nAnswer: b**(-10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2 = -84*f + 85*f, 0 = f - 5*i - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m - 3 + 2 - 7. Let r(i) = -5*i + 8. Let y(k) = -4*j(k) - 3*r(k). What is y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3415426.\nAnswer: 2, 7, 53, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1340 (base 8) to base 16\nAnswer: 2e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568513033 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 13. Let s be (420\/t)\/((-6)\/(-3800)). Suppose 5*d = 0, 5*d = b + d - s. What is b rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41*1.1.\nAnswer: 45.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y. Let d = y + 0. Sort -4, d, -1 in ascending order.\nAnswer: -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 79\/2 of a microgram?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6726595189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1551, 3100, 4653, 6210, 7771, 9336, 10905?\nAnswer: 12478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*t - 55*t + 112*t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.76 - 5007.76. Let p = a + 5002.4017. Round p to two decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 45 - 2*w**3 + 61*w)*(-5 + 16 - 55)*(3*w - w - w).\nAnswer: 88*w**4 - 2684*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 83658190*r + 349934637703805.\nAnswer: 5*(r + 8365819)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -360 - -4?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3103 - 3103.000000368. Round q to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 996 and 258?\nAnswer: 42828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 - ((12 - 5) + (6 - 7)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p - 676 + 347 + p to the form l*p + s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 23 + 2. Let y be (-2)\/2*(0 - w). Suppose 0 = -5*x, 0 = -4*s - 0*x - 3*x - 8. Put y, -4, s in ascending order.\nAnswer: y, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 50 + 578 = 0. Suppose -2*v - 2*v = -a - g, -2*v - 2*a = -76. Calculate the remainder when v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760 = 92*b - 160 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.2 - -12.2. Let z = 13 - d. Let o = -10 + 14. Which is the second smallest value? (a) z (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28a5 - 10?\nAnswer: -28b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 14 = -3*j + 2*j, 0 = g - 4*j - 7. Find the third derivative of -21*n**2 - 23*n**4 - 3*n**4 + 12*n**4 - n**g wrt n.\nAnswer: -336*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174300, 174301, 174302, 174303, 174304, 174305?\nAnswer: 174306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-68)*((-70056)\/(-15012))\/((-21)\/2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -421320 divided by 210660.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 6:21 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 418496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 734, 1085, 1420, 1733, 2018?\nAnswer: 2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 34*z - 46. What is the remainder when g(-24) is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/15 (c) -1 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a + 56 = 30*a. Is ((-14)\/(a\/12))\/((-6)\/3386) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*f = 140 - 32, 4*f + 136 = -4*q. Let h = q - -39. Let j(r) = 2*r + 1. Let a be j(h). Solve -a = 5*s + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-16)\/5))\/(480\/(-384)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-18) + 2\/(-6)*395. Let c = x + 101. Are c and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.046, 0.2, -17.5027?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1864, -7397, -16594, -29455?\n\"Answer: -1832*a**2 - 37*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.3 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00396548 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2066 + 910 = 122*t + 658 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 638a (base 12) to base 2.\nAnswer: 10101010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1368 and 36.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3346*d - 84*d**2 - 3346*d)*(-2 + 2 + 2*d**2) to l*d**3 + r + i*d**4 + o*d + k*d**2 and give i.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 947 = 279. Suppose 5*i + 2*d + 2*d = r, 5*i + 5*d - 170 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/(48\/32). Let p(i) = 4*i + 1. Suppose 0 = -d + 19. What is the remainder when d is divided by p(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 8, 12, 460 in ascending order.\nAnswer: -1, 4, 8, 12, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 divided by 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*i. Let r be 0 - i\/4*0. Let f be (-1)\/(-3) + 14\/30. Which is the nearest to 1\/4? (a) r (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27674 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -634*f + 636*f + 3*b - 64, 4*f + b = 108. Factor -8*o + f*o**2 + 8\/13.\nAnswer: 2*(13*o - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-98) - 207\/(-126)*6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 39. Calculate the remainder when o is divided by -3*(2 - (56\/12 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488618 is divided by 81408?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*h + 0*h - h - 16796 + 8395 + 8398 in the form m*h + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**8\/2856 + r**7\/255 - 11*r**6\/1020 - 19*r**5\/510 + 5*r**4\/17 - 12*r**3\/17 - 5*r**2 - 36*r. What is z in h(z) = 0?\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -8. Let y = g + 5. Suppose -y*j + i + 11 = -7, 5*i = 2*j - 10. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 7. Let a be z(-5). Let w = -3 - a. Let j be -9 + 1056\/104 + (-8)\/52. Sort 4, w, j in descending order.\nAnswer: 4, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/9 - (-2)\/(-3). Let o(v) = v + 1. Let u be o(c). Suppose -4*m + 27 = -5*q, u = -m - 3*m - 4*q. Solve 4*b = 4*n - 12, m*n - 5*n = 4*b + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434 and 55134058.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 32, 2859255, -3 in decreasing order.\nAnswer: 2859255, 32, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -9*v**4 + 933*v**3 - 18384*v**2 + 28692*v - 11232 = 0.\nAnswer: 2\/3, 1, 24, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 8*w**2 + 8*w + 1. Let p be x(8). Suppose 3*f - p = -f. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2762.325ng to grams.\nAnswer: 0.000002762325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*-2*sqrt(76).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 15222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -1194552817936*v**2 + 13115472*v - 36 = 0.\nAnswer: 3\/546478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 3*f**2. Let t be h(-3). Let y(k) be the third derivative of k**6\/120 - k**5\/60 - k**4\/24 - k**3\/2 - k**2. What is y(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*h + 2. Is h equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2270.208 months?\nAnswer: 18.9184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/5*(-55)\/(-44)*16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3986.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 4. Let m = -24 - -28. Calculate the smallest common multiple of x(-2) and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llldlllllldlllldld. Give prob of picking 2 l.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1017)\/(-11865))\/(1\/(-5)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 18. Let g = 2 - k. Sort -4, 0.1, g in descending order.\nAnswer: 0.1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -89, -147.1777, 1, 0.1?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/15 + 1*5)\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 11. Suppose 2*a + 2*w + 4 = a, 0 = 4*a + z*w - 4. Solve -c - a = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 73*z**2 - 13719*z - 1080075. Determine m(-77).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 + 1\/15. Let f = -1\/18 + -47\/126. Is f greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201457143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55310641 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen eighths of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**3 + 10150*l**2 - 5603765*l + 448842720 = 0.\nAnswer: 96, 967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.9002106 to zero dps.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4\/(40\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvfvufvvveefeuf. Give prob of sequence fv.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -245?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llyly. Give prob of sequence ll.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122896635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:24 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4358488 is divided by 2656.\nAnswer: 2648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxnn when four letters picked without replacement from zzzszznsnnxtnsnx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**6\/45 + d**5\/60 - d**4\/8 + d**3\/6 - d. Let s(n) be the second derivative of w(n). Is s(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-16))\/((-173)\/(-10380))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 3557.8321 - 3558. Let h = 0.167898717 + t. Round h to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2090*m**6 - 4746*m**2?\nAnswer: 250800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12 + 187\/66)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a63 (base 13) to base 4.\nAnswer: -22011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 24045099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11978, 95867, 323574, 767009, 1498082, 2588703, 4110782, 6136229?\n\"Answer: 11985*t**3 - t**2 - 3*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1842 divided by 614.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1231*k + 554*k + 0 - 3 + 3)*(-2*k + 0*k + 0*k).\nAnswer: -3570*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2445\/(-4401)*(-8)\/(-10)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 3*l = 38, 16*h - 2*l - 2 = 35*h - 12*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55\/2 of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**7\/126 - 2*k**6\/45 + 7*k**4\/18 + 17*k**3\/18 + k**2 + 64*k + 70. Let r(w) be the first derivative of v(w). Factor r(y).\nAnswer: -(y - 2)*(y + 1)**3*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/7*(-28)\/8. Suppose 3*b = 5*d - d + o, -5*b = 4*d - 28. Solve -d*s = 3 - 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 5\/2141581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 894 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10686650 and 6150.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*f + 10, 0 = 4*z - z - f - 13. Let s(w) = -w + 15*w + w**2 + z*w**2 - 29*w**2. Let y(a) = 5*a**2 - 3*a. What is 3*s(p) + 14*y(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(30)\/(-3*sqrt(30)\/sqrt(3) - sqrt(10))) + -2.\nAnswer: -8 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -608 - 18?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1446 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45506 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71875 smaller than 71934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5163988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-90)*27*(-55)\/(-165) - (-98 + 1)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6901 - 6813 - 3*h + 0*h in the form d*h + j and give j.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4 - 1244*j**3 + 6178*j**2 + 21084*j - 26019 = 0.\nAnswer: -3, 1, 7, 1239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvvv when four letters picked without replacement from {v: 7, u: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -5, -0.024?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/20 + s**4\/12 - s**3\/2 - s**2 + s. Suppose 0 = 2*i - 4*z + z + 5, z = 4*i + 5. Let q be -1*(-5 + 3)\/i. Determine b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 926.\nAnswer: 7408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i - 60. Let c be v(8). Suppose 0 = -5*w, 0 = -q - c*q + w + 455. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 5221.5, -2\/7?\nAnswer: 5221.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-264)\/(-30))\/(2\/10). Let m be (-14)\/r - (-2)\/(-11). Sort -2\/7, m, -2\/17 in descending order.\nAnswer: -2\/17, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6546686.07 rounded to the nearest ten thousand?\nAnswer: 6550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 60 + 54*q**3)*(2*q**2 + 2*q**2 - 3*q**2) + (-69 + 69 + 14*q)*(0*q**3 - 2*q**4 + 0*q**3).\nAnswer: 26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/3123 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20\/7 + 87\/28. What is the nearest to h in 2, -3, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032 is divided by 52?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11879764261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 29*x**3 - x**2 + 4*x + 4. Let t be k(-3). Round t to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -522, -1258, -1994, -2730, -3466?\n\"Answer: -736*t + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 0) + (-24 - -31). Let q = 2 + -1.8. Which is the nearest to 3? (a) m (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.9727 + 33.0603. Let x = -47.6 + 8.6. Let a = q + x. Round a to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*z + 306 = 0. What is the remainder when 62 is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) - 65\/(-20). Suppose w*s + s - 16 = 0. Let f = 6 + -3. Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 2. Let a = -44 + -11. Let t be a\/15 - (-4)\/6. Let x(i) = -i**2 + 3*i + 3. Give t*j(b) - 2*x(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.3. Let x = -1004 + 43170\/43. Let z = 80\/129 - x. What is the closest to -1 in -5, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/462 and -103\/1386.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/7 - 12004*o\/7 - 2670712\/7.\nAnswer: -4*(o + 242)*(o + 2759)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:53 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*l + 976. Let z be -4 - (-3 - l)*(-27 - -1). Suppose -197*m - z = -203*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3\/5 + 716*h**2\/5 - 59888*h\/5 - 251136\/5 = 0.\nAnswer: -4, 144, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 185\/50 - (8 + -3) - (-4)\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4984 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -182.3 or -296968?\nAnswer: -182.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t - 31. Let k be y(-19). Let q = -151 - k. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 29*c - 36. Let t be i(13). Put 1, t, 5 in ascending order.\nAnswer: 1, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62209 is divided by 300?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) + (-1704)\/(-60). Suppose z - v = -0*z. Suppose 0*x + 162 = 3*x. Calculate the remainder when x is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.66 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6939135.\nAnswer: 3, 5, 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 4:12 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(2 + (-194)\/100). Suppose -u = 4*u - n. What is the remainder when 48 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 287 + -285. Suppose f = x*f - 25. Solve 2*z + f = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, x: 8, w: 4}. What is prob of picking 2 j?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*n - 492638 + 497024 = 0 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14192 and 5072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -87. Let x(a) = -6*a**3 + 2*a + 12. Let i be x(r). Let g = -135 + i. Calculate the remainder when g is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -19*z**2 - 8*z + 141. Let x be -2 + 3 + -1 + 2. Let o(m) = 9*m**2 + 4*m - 70. Let b(w) = x*y(w) + 5*o(w). Find the first derivative of b(h) wrt h.\nAnswer: 14*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k - 2. Let f be t(2). Suppose f*v = 2*u + 10, -5*u = 3*v - 7 + 16. Solve -v = h + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106150 and 2530.\nAnswer: 2441450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1073238 (base 9) to base 3\nAnswer: 1002110021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29149, -1\/3, -9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.51849 and -403.\nAnswer: -400.48151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o + 64. Let d(s) = -7*s - 62. Let n(z) = 6*d(z) + 5*i(z). Let v be n(-8). Solve v = -12*g + 8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**5\/40 - q**4\/16 + 19*q**3\/24 + 2*q**2 - 6*q - 103. Solve m(v) = 0.\nAnswer: -4, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1525 + 0.1527472. Round h to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + 3*h**2 - 3*h**2 + (-4 - h + 4)*(-6 - 3*h + 6))*(h**2 + h**2 + 6*h**2) to f + x*h**2 + y*h + k*h**4 + a*h**3 and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8))\/((-2)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -1.716. What is the closest to m in -1, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 791 times 0.4\nAnswer: 316.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*o + 5, 0 = 2*o + 2*m - 2. Let h be 4\/(-2) - (-6 - o). Solve -h*k = f - 2, 5*k - 10 = -5*f + 4*k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdaf when four letters picked without replacement from {a: 6, v: 3, d: 2, c: 1, f: 2, w: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*sqrt(352))\/(sqrt(4)\/sqrt(2)*3) + 4.\nAnswer: 4 + 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.48 + -37.48. Sort 4, -0.5, -401, t in decreasing order.\nAnswer: 4, t, -0.5, -401","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and ((-74)\/222)\/((-2)\/18).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -654 and -648 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*m + 6, -2*s + 1 - 7 = 2*m. Let o(d) be the second derivative of 1\/140*d**5 + 0*d**2 - 1\/84*d**4 + s - 3*d - 1\/21*d**3. Factor o(v).\nAnswer: v*(v - 2)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 13 + 8 - 9*h in the form j + n*h and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) -25 (c) 5 (d) -2\/17 (e) 1\/2 (f) 3\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -892*r - 6259. What is the hundreds digit of w(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(8)\/sqrt(4)*-2))**2*-4 + 3*(sqrt(180))**2 + 4*(sqrt(10)\/sqrt(2) - sqrt(5)).\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -97*b**3 + 2*b**2 - 1. Let q(a) = -17*a + 3. Calculate the remainder when t(-1) is divided by q(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158 or -2690861?\nAnswer: -2690861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10 - (-202813)\/(-5). Let p = 398537934 + -11957354783\/30. Let t = b - p. Find the common denominator of -29\/9 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209 + -129. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 591425?\nAnswer: 591425.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, z: 4, n: 2, a: 1, m: 7}. Give prob of picking 1 z, 1 m, and 1 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1038 - 2?\nAnswer: -103a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6502.683 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s - 1. Let c be a(-1). Let v be c\/(-36) + (-12)\/(-16). Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.7 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 5:57 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/6 and 111\/1109726000.\nAnswer: 3329178000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f. Let b be d(4). Let t = -13 + b. Suppose -t*m + 155 = -2*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271282 is divided by 4660.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 86.82425cm?\nAnswer: 0.8682425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2024 - 2020.116. Let w = j - 0.754. What is w rounded to one dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s**4 + 23*s**2 - 2*s + s**3 - 2*s**2 - 4*s**3 + 8*s**4 in the form f + t*s**4 + p*s + m*s**2 + g*s**3 and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, -4, -4, 12, 50, 116, 216?\n\"Answer: o**3 - o**2 - 14*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 20889 = -26*p. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-9\/4)*a*a)\/a)\/a*a**(-1\/37))**(-50) assuming a is positive.\nAnswer: a**(8425\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 * 96.\nAnswer: 4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let h = 1 + o. Let f = 164\/7 + -1462\/63. Which is the second biggest value? (a) -0.4 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(5)*-3*-3.\nAnswer: 2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1301 + 1301.2. Which is the nearest to 2\/7? (a) t (b) 4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(8\/(-36) + (-689)\/(-468)). Which is the biggest value? (a) 1 (b) -8\/39 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**12)*r)\/(r\/r**2)*(r\/r**1)**(3\/26) assuming r is positive.\nAnswer: r**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33\/(-132) - ((-18)\/8 + -4). Solve 29*u - 13 = 34*u - 4*r, -3*r = -3*u - m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uutltottg. Give prob of sequence tlu.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Calculate the smallest common multiple of c and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1956.\nAnswer: -1\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 t when four letters picked without replacement from cttctctccctt?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 2. Let k = c + 3.1. What is the closest to k in -3, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3297*k + 147 - 11*k**2 - 3257*k + 4*k**3 - 3*k**3. Is y(35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/402 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -51723\nAnswer: -2\/51723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 17*d - 929. Give v(-20).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 5*m**2 + 2*m - 2. Suppose 5 = -5*y - 10. Let v be q(y). Solve -d - 2 = 3*n, v = -5*d - n - n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 368*b**2 - 4. Let p(d) = 32*d**2 + 15*d**2 - 27*d**2 - 18*d**2. Calculate p(o(z)).\nAnswer: 270848*z**4 - 5888*z**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90*97 - (44 - 42). Suppose w = 30*k - 1322. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274 divided by -137.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:23 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 10 (b) 1\/6 (c) -9 (d) -2299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -6, 13.1735, -5\/2, -0.5, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -2, -0.023, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*q = -7573 - 883 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 2, 5, 4\/3, 352 in increasing order.\nAnswer: 3\/5, 4\/3, 2, 5, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 6. Let v = a - 1. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + -26. Suppose 3*n = 176 - z. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10 (b) -9.9 (c) 93 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 2. Suppose 2*a + z = -2*z + 1, 11 = 4*a - 3*z. Let d be 6\/(-2) - (4 - 54\/6). Let i = d + a. What is m(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -259636 + 259646. Calculate the remainder when o is divided by (3*2 + 1)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9 + -2. Let y be 72\/(-198)*((-19)\/(-10) - 3). What is the second biggest value in y, a, -9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s**3 - 6*s**2. Let o be 4\/(-3) - 4\/6. Let j be (o - -6)\/(-2) - -8. Let a(k) = -k**3 - k**2. Let h = 89 - 90. Determine h*u(y) + j*a(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*a + 68 = 0, 3*q + 38 + 10 = -3*a. Let x be (117\/q)\/(1\/(-2)). Calculate the greatest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 470\/27?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-75)\/(-18)) + 3185\/(-2925).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*t + 18461 - 18439, -4*p + 4*t = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 5*u + z + 11438, 6*z = -5*u + 14283. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2054\/3 - 671. Find the common denominator of (-12)\/6 + 278\/(-12) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 26*k**3 + 2*k**2 + 5*k - 12795. Let v(x) = 10*x**3 + x**2 + 2*x - 6398. Calculate 2*i(d) - 5*v(d).\nAnswer: 2*d**3 - d**2 + 6400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 - 9*m**2 - 1051*m**3 + m**2 - 4*m**2.\nAnswer: -1051*m**3 - 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(88)\/sqrt(4))\/sqrt(11).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + 0*x**4 + x + 3*x**5 + (0*x**3 - 4*x**3 + 2*x**3)*(2*x**2 + 0*x + 0*x) + 0*x**4 - x**5 + 0*x**4.\nAnswer: -2*x**5 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -0.04 (b) 4.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/((-2223)\/380))\/(10\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/7))**(-1\/76))**(5\/7) assuming m is positive.\nAnswer: m**(5\/3724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.8 + -7.8000155. What is c rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 0, -2*r + 2*q + 49 = 613. Let t be 639\/r + (1 - -1)*2. Find c such that -1\/2 + c**2 + t*c = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 809 and 0.147.\nAnswer: 118.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 0.4, -0.17, 1\/3, -0.1, 3?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 246047539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -15, 1, -6532\/111?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u + 4. Suppose 3*l + 4*q = 1, 3*q - 4*q = -4*l - 24. Let g(o) = o - 2. Calculate l*g(m) - 2*f(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/36)\/((-20)\/1986). Let o = k + 44. What is the second biggest value in 3, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-5)*(-30)\/(-4). Let k(g) = -g. Let c be k(6). Let s(i) = -i**3 - 7*i**2 - 4*i + 7. Let q be s(c). What is the third biggest value in v, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/16265061 and 16\/91893.\nAnswer: 16265061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 24 + (-1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1160 - -1160.36. Let u = -1075064.3599976 + 1075064. Let d = u + m. What is d rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujqxxxxqqjjqaxjjxjja. What is prob of picking 2 a and 1 q?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -434 + 438.94. Let i = d - -0.06. Which is the nearest to 0.1? (a) -1 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 10. Let f be y(-9). Let q = f - -3. Solve 8 = -5*x - q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 - 2*m**5 - 4*m**3 + (-4*m**3 + 0*m**3 + 2*m**3)*(10 + 3*m**2 - 10) - 10 + 10 - 14*m**5.\nAnswer: -22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/392 and -83\/40?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l - 30. Suppose 0 = -4*m + c + 8, 0*m + 23 = m + 5*c. Is (-2)\/l + 110\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/4 + 19893*r - 7746711\/4.\nAnswer: 3*(r - 97)*(r + 26621)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 3*i**2 - 1. Let b be y(2). Suppose -b*m + 13 = -116. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 31344992.\nAnswer: 31344995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 5:10 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -19*g**3 - 2*g**2 - g. Let a be w(-1). Suppose x + 6 = -a. Let j = 43 - x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -25, -391.\nAnswer: -391, -25, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9291 - -65041\/7. What is the fourth biggest value in j, 0.3, -1\/233, -3, 1?\nAnswer: -1\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8567601\/(-129759) + (-1)\/(-37).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 1078 = -4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1785498 and 815958.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 433 + -93. Let r = 592 - c. Let l = -251.999863 + r. Round l to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**7\/336 + w**6\/45 + 13*w**5\/20 + 14*w**2. Let o(s) be the third derivative of u(s). Differentiate o(q) wrt q.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 4:33 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 9*u**2 + 6*u + 10. Let z be t(9). Suppose 0*h + z = 8*h. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11577331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:47 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14213*r**3 - 8*r**2 + 34*r - 3 wrt r?\nAnswer: -85278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -777 - -1340. Let y = a - 400. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497726679 a multiple of 2453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -90*x**3 - 3*x**2 - 2*x + 1. Let m be y(-1). Let w be (-1 - 98)\/(312\/40 + -8). What is the greatest common factor of w and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -404 + 802. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41053505 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 + -94. What is the closest to 0.1 in y, 3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f*j**3*v + 4368*f*j**2*v + 7*f*j*v - 51*j**4*v - 10*j**4 - j**2*v wrt j?\nAnswer: 18*f*v - 1224*j*v - 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 18*h - 9. Let w(x) = -37*x + 22. Let d(s) = -11*q(s) - 5*w(s). Calculate d(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28053361459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -3 - 0) + 5 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2160)\/864)\/((-360)\/(-1188))\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(2 + -7 + 0). Let c be (-2)\/a - 56\/10. Is c\/1*(-7)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*c**3*p*q + c**3*p + 4*c**2*p*q**3 + 13*c*p*q**3 - 4*c*p - p - q**3 wrt c?\nAnswer: -84*c*p*q + 6*c*p + 8*p*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.019 + 20.019. Let q = j - 21. Which is the nearest to q? (a) -0.4 (b) 0.06 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 6*d + 16. Suppose -343*j = -284*j + 354. Determine r(j).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68134 or 68132?\nAnswer: 68132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Suppose 4*i - 2*a + 2 = -7*a, -3*i + 2 = 2*a. Let u be (i\/(-5))\/(1\/(-5)). Let w(g) = 2*g**u + 6*g**2 + 0*g**2 - g**2. Determine z(w(q)).\nAnswer: 98*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3956 is divided by 541?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 a factor of 5223010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (204\/(-21726))\/((-570)\/(-9)). Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*n + 165 = 2*o, -2*n = 4. Find the first derivative of -51 - 117*g**3 - 42*g**3 - o + 50 wrt g.\nAnswer: -477*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172.5557 - -4930?\nAnswer: 6102.5557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 + 2027*v + 38556. Give h(-20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, h: 9, d: 6}. Give prob of sequence idii.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -117. Let n = c + -95. Sort -14, -0.4, n in descending order.\nAnswer: -0.4, n, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12014 + 124?\nAnswer: -11340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1016 + -1020. Which is the closest to 32? (a) 2\/3 (b) w (c) 1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36002 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 + 1) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020001120212 (base 3) to base 6.\nAnswer: -21540252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919 is divided by 452.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 13. Let b(h) = -3*h - 20. Let p(r) = r + 7. Let d(m) = -6*b(m) - 17*p(m). Give d(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 - 3*f**2 - 5*f + 11. Let h be (4\/(-14) + (-208)\/(-91))*-3. Is 50 a factor of k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13877472?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/9 + 103304*c\/9 + 68872\/3 = 0. What is c?\nAnswer: -2, 51654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 - -113. Let f(c) = 4*c**2 - 6*c - 37. Is f(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45420.43 + -45418. Put x, 4, 0.2, -4 in increasing order.\nAnswer: -4, 0.2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -967.9, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -45, -81, -143, -237, -369, -545, -771?\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 148325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:13 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:03 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34686.33 + 34294. What is n rounded to the nearest integer?\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - p - 2*p + 15 = 0, 2*p - 10 = 4*o. Suppose -13*l + o + 2704 = 0. Calculate the highest common divisor of l and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2562 and 57218?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:29 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.3 take away 24884.9064?\nAnswer: -24867.6064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**8\/5040 + r**7\/840 + 33*r**5\/20 + r**3\/3 - 6*r**2 - 1. Let k(t) be the third derivative of p(t). Determine k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 169.3 from 1.\nAnswer: -168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -471*c**3 - 4*c + 194. Let g(k) = -2357*k**3 - 21*k + 983. Let j(u) = -2*g(u) + 11*x(u). Differentiate j(m) wrt m.\nAnswer: -1401*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, 252, -4013 in ascending order.\nAnswer: -4013, -12, 1, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8340847391 to the nearest integer?\nAnswer: 91328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**3\/6 - 5*y**2\/2 + 2*y. Let s be q(-8). Suppose 0*m = -s*m + 12. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**8\/84 + 24*r**7\/35 + 58*r**6\/15 + 14*r**5\/5 - 115*r**4\/6 - 52*r**3 + 532*r**2 + 2*r - 2. Suppose w(y) = 0. What is y?\nAnswer: -2, -1, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/630)\/(10\/(-25)) - 287\/(-735)*-6.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i + 6. Let q(t) = -3*t - 2. Let b(j) = 5*l(j) + 16*q(j). Let z be b(-1). Let s be 4*(1 + (-9)\/z). Let n(v) = v**3 - 4*v - 3. Calculate n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3667874 is divided by 2012?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1164*y**2 + 194*y**3 + 1164*y**2 + 11 - 25 as g + r*y**3 + u*y + x*y**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22795665 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*m + 167 = 0, 3*m = -x + 5*m + 82. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -15*c + 6. Calculate d(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.024, -0.3, -32, -0.023, 1 in descending order.\nAnswer: 5, 1, 0.024, -0.023, -0.3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175470.\nAnswer: 2, 3, 5, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 7. Let d(w) = -275*w**2 + 48. Let s(y) = d(y) - k(y). Find the first derivative of s(q) wrt q.\nAnswer: -552*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, z: 2, d: 3}. Give prob of sequence zdlz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1717*x - 22681. Give p(15).\nAnswer: 3074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 20*k**2 - 18*k**2 + 7*k**2 + 1 in the form d*k + b + n*k**2 and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 at most 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -987490*q**2 - 5 + 12920*q + 987488*q**2 + 4 + 0 to the form j*q + v*q**2 + r and give j.\nAnswer: 12920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 u, and 1 z when four letters picked without replacement from {o: 2, z: 1, b: 1, u: 1, g: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 417, 103, 57, 0 in decreasing order.\nAnswer: 417, 103, 57, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 986.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 44 = -96*t. Which is the nearest to 8\/15? (a) -1 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 7964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2 = -3*t. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588724529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dll when three letters picked without replacement from {d: 2, a: 8, l: 4, x: 1, i: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 19*n**2 - 81*n - 300. Calculate r(-14).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + i - 2*i = 15, -4*i = -4*h. Suppose -10*t - 14 = -3*t. Which is the closest to t? (a) 3 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:49 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 9*s**2 + 16*s - 12. Let k be n(7). Let f be ((2 - k) + -2)*(-5)\/(-20). Is -2\/463 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -15. Let n = -10 + u. Which is smaller: n or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4430351 - -132?\nAnswer: -4430215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 524511 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.4. Let p be 125\/(-250) - 93\/(-178). Do p and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -0.8, 0.2, 2 in increasing order.\nAnswer: -0.8, -0.7, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 14*n**3\/3 + 7*n**2 + 73*n + 275. Is f(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*d**2*u**2 - 5957*d*h**2*u**2 - 29*h**2*u**2 - 4*h**2*u + 527*h*u wrt d?\nAnswer: 64*d*u**2 - 5957*h**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = 45. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47, -104, -161, -218, -275, -332?\n\"Answer: -57*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5796 + 3?\nAnswer: -5793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3540 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*u = -137 + 179, 14*q + 7*u - 4*u - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 534*b**3 + 22 - 1793*b**2 + 44*b - 37 + 1792*b**2 wrt b?\nAnswer: 3204*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/15 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5024 and -101\/42.\nAnswer: 105504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*l + 1295 - 6170 = -238*l + 9602 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 15) to base 2\nAnswer: 11100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 630.\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbbtbbmbtbbttbbtb. Give prob of picking 3 b.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -14, -15, -16?\n\"Answer: -m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from qywygsqygg.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1500 and -107\/24?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11312, 20011, 28710, 37409?\n\"Answer: 8699*i + 2613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/30 - 4\/276*-17.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f*f**13*f*f**0 assuming f is positive.\nAnswer: f**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 - 111. Calculate the remainder when 220 is divided by r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -0.2, 1.7 in decreasing order.\nAnswer: 1.7, -0.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = -4*g - 143 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -540 + 1616 + 15*v - 535 - 5*v - 541. Let r(p) be the first derivative of -p**3\/3 + 1. Calculate o(r(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.2 + 4.8. Is 1 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56\/((-35280)\/(-150)))\/((-150)\/(-84))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 5602696.\nAnswer: 28013480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5003976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 26. Let c(b) = -b - 2. Let j be c(-3). Suppose 4*k - j = 3. What is the remainder when k is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37.7 - 36. Let k = s - 0.7. Let f = 7.3 - 7. Sort k, 1\/3, f in descending order.\nAnswer: k, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2551943.\nAnswer: 2551943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33441 is divided by 33389.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-24))\/((-4)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27630 and 1842.\nAnswer: 27630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/9 - s**4\/3 - 5*s**3\/9 + 5*s**2\/3 + 4*s\/9 - 4\/3 = 0 for s.\nAnswer: -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 383017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.239 - -0.13?\nAnswer: 0.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 1. Let q(u) = -12*u - 11. Calculate -22*g(s) - 2*q(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0, 0.69, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 456*g**2*m + 56*g**2 + 2*g*m + 7943*g - 2*m + 4 wrt g.\nAnswer: 912*m + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5524 a factor of 87327048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 9*l + 13. Let p be v(-10). Solve -5 = -8*b + p*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 6 - 4 - 3 + (2*i - 2*i - 3*i)*(3 - 5 - 1).\nAnswer: 8*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38312 is divided by 12759?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -27 (b) -0.07 (c) 0.5 (d) -24 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 9*r + 9. Let l be -2*(-2)\/3*(0 - -3). Suppose 3*k - 5*d - 20 = 0, 0*d = l*k + d - 19. Determine u(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21750522892 minus -0.55?\nAnswer: 0.33249477108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**4\/12 - 31*p**3\/6 + 63*p**2\/2 + 16*p - 1. Let t be u(-33). Let j(r) = r**3 + 3*r**2 - 3*r - 4. Calculate j(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 + 25*m + 91. Let j be q(11). Sort 5, 16, j, 2 in decreasing order.\nAnswer: 16, 5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5340, 4, 5, -11 in ascending order.\nAnswer: -11, 4, 5, 5340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 3*s + 4*s)*(-20*s + 21*s + 36 + 70) in the form l*s + x + h*s**2 and give l.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 - k**3 + 26 - 16 - k**3 - 10.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d + 744 = 44*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6619 (base 10) to base 14.\nAnswer: 25ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 7:37 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 9*s = -39. Let g(z) be the third derivative of 0 - 2*z**2 + 0*z - 1\/3*z**s + 1\/24*z**4. What is the derivative of g(l) wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4925*b*z**4 + 4*b*z**2 - 6*b*z - 17*b + z + 2 wrt z.\nAnswer: 59100*b*z**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9125188 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10*3\/3*(-21)\/210*15\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -x + 5*x - 42, 2*u - 52 = -4*x. Factor -4 + 3*l - l + 6*l**2 - x*l.\nAnswer: 2*(l - 2)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/12 - (-2)\/4. Let r = 2.5 - 3.5. Sort u, 3\/2, 8, r.\nAnswer: r, u, 3\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.9 + -0.8. Let h = 7.7 + r. Put 3\/4, -4, 2\/3, h in ascending order.\nAnswer: -4, 2\/3, 3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146\/5475*-135*5\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 - 7.5. Let y = 29557 + -29563.00045. Let g = i - y. Round g to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5477472 and 73359?\nAnswer: 16432416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {y: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 + 0*v**2)*(1 + 0 - 4)*(0*v + 4*v**3 + 0*v).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*x**2 + 190*x**2 - 2 + 2 - 462*x**2.\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 4. Let h be k(-8). Let t(d) = 39*d**2 + d - 5. Is t(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2335 and -2258.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399914 is divided by 524?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - -8 - (-2 - 1). Suppose -t*o = 2*o - 80. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 43218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 389168 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(6\/5)*l*l\/((l**(2\/23)*l)\/l)*(l\/(l*l**(-5\/7)))**(3\/26) assuming l is positive.\nAnswer: l**(66881\/20930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-20) + (-17)\/(-5). Solve t = -q - 8, x*t + t = -2*q - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 37*t**2 + 4*t - 137. What is the remainder when 294 is divided by r(37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*w + 602, 41*w - 43*w - 301 = -h. Let b(p) = -p - 1. Let o be b(-3). Suppose h = 4*r - 2*r + j, -o*j = 5*r - 752. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ae (base 15) in base 10?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 5, d: 8}. Give prob of picking 1 t and 1 d.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16545 = 9*i - 24*i. What are the prime factors of i?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 17*a - 15. Suppose -5*h + 5 = -3*y - 36, -5*y + 25 = h. Let s be t(h). Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1288 = -9*g. List the prime factors of (100\/(-70))\/(2\/g).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 q when three letters picked without replacement from cicgyoq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -80938 in -18, -4, 0.1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 2500*z - 63130. Give h(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26\/149 (b) -6192 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/259 + -7501\/1295. Is -7 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*b + 5 = 0. Let t be b + 3*5 - 2. What is the third derivative of 0*w**6 + 10*w**2 - t*w**2 - 2*w**6 wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 32. Calculate the lowest common multiple of g\/22 - (-14)\/4 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5 = o, 0*o = -5*x + 4*o + 11. Let n = 15 - 71. Let z be (0*(-7)\/n)\/((-1)\/(-1)). Sort -2, x, z.\nAnswer: -2, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9) + 20\/15. Solve 0 = 2*n + v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(7)*-2 - sqrt(7)) + (sqrt(7)*-1*-4 - sqrt(7)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19 + 356*a**2 + 171 - 648*a**2 with respect to a.\nAnswer: -584*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = -j. Suppose -j*b + 3*b - 12 = 0. Let w(d) = 2*d + 6. Determine w(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 84528 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.0005 + -451?\nAnswer: -467.0005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + 0*k)*(-5*k + 4*k + 2*k)*(k**3 - 3 + 3)*(-118 - 40 + 41).\nAnswer: 351*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-3))\/(1\/3). Is 9\/7 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 69.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 55*p**2 - 375*p + 213. Give o(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 34 - 55) + -3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -8*p**2 - 11\/6*p**3 + 0 - 7\/12*p**4 - 1\/60*p**5 + 0*p. Is i(-11) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-1 + 3*j + 1)*(j - j - j) + 76*j**2 - 14394*j + 14394*j.\nAnswer: 79*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2346 = 3*f - 7563. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 2*s + 2. Let v(w) = 60*w**2 - 18*w - 5. Determine 9*d(b) + v(b).\nAnswer: 69*b**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16048*m**2 + 8019*m**2 + 8014*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 - 63. Suppose 5*l + 2*a - 5 = -1, f = 5*l - 5*a. Suppose 3*v + 2*v = l*d + 36, 0 = 5*v + 3*d - 21. Solve -v = 2*s + 2*y, 3 = -5*s - 3*y + 2*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/23)\/(40\/(480\/(-18)))\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 18. Suppose d = -3*n - n + 29, -8*n + 5*d + 23 = 0. Calculate m(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 4, p: 2, w: 3}. Give prob of sequence yu.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4\/4 + 3*k**2\/2 - k + 7. Let j be f(2). Let z be 6\/9 + (-10)\/j. Let a(x) = 4*x - 5. Give a(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117619.349782+0.01171\nAnswer: -117619.338072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0 + 2 = 0. Let v = 0 - -18. Calculate the smallest common multiple of v and (0 - a - 0) + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5)*-1 - 22\/(-110). Let m be k\/((-4)\/1 + 40\/8). Solve 2*x + m*x = r - 2, 5*x + 2*r - 13 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3282 and 160366178?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 105643\nAnswer: -52821.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -0.06, -246, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7542328630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187459513.\nAnswer: 1187459513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11957*w**3 - 2*w**2 - 3*w - 1. Is c(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 8*h**2 - 7*h - 5. Let u be o(7). Let z = 70 - 66. Sort u, z, 5 in descending order.\nAnswer: 5, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/11)\/q**(-29))\/(q**(-5\/6))**8 assuming q is positive.\nAnswer: q**(1186\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 7*d**2 - 38*d + 10. What is h(-7)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 936474906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddvddv. Give prob of sequence dddd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -23. Let q be (12\/14)\/((-3)\/(-2))*7. Suppose q*y = -7*y + 715. What is the remainder when y is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7322 + -5.7322. What is the fifth smallest value in -1\/2, -0.1, 1, 0.2, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(1\/(-10)). Let g(r) = -2*r + 15. Let d be g(6). Solve -25 = z*x, 8*o = 4*o + d*x + 19 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -97. Let q = -67.1 - r. Round q to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3729\/4 + -926. Is u > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, 1\/4, 2\/11, 3, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-575674)\/10549 - (1 - 66\/42).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -3887*h**7\/7 - 4213*h**3\/3 - 2383. What is the third derivative of v(f) wrt f?\nAnswer: -466440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1613*a - 1618*a = -1 - 9. Solve 5*u = a*x + 16, 2*u = -3*x + 7*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591.7468l in millilitres?\nAnswer: 591746.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 481849 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.1 - -25. Let k = -18 + o. Let l be 24\/7 + -1 - 2. What is the biggest value in -0.2, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 17*v - 22. Let a(d) = 2*d**2 + 9*d - 11. Let m(h) = 7*a(h) - 4*g(h). Let z be m(-4). What is the nearest to z in 5, -0.2, 0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -5 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 - 1. Let p be v(1). Suppose p*c - 2*c - 16 = -4*o, 16 = 2*c + 4*o. Let u(h) = h**3 - 4*h**2 + 1. Let i be u(4). Solve l = -c*l - i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 6*n**2 + 6. Let d(c) = -54 - 17*c**3 + 7*c**3 - 14 + 3 - 65*c**2. Determine -6*d(x) - 65*w(x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7407.0801 minus -2755?\nAnswer: 10162.0801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 9. Find the first derivative of -l*i**4 + 2 - 106*i**3 + 106*i**3 wrt i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 15*v**2 - 8*v - 4. Suppose -4*b = -5*x + 43, 0*b - 4*x + 32 = -3*b. Let f be z(b). Does 7 divide f\/(-8)*4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/39)*j**(12\/7)*j)**(-46) assuming j is positive.\nAnswer: j**(-34730\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14305266 rounded to the nearest ten thousand?\nAnswer: 14310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/60*-2)\/1. Let m be ((-3750)\/175)\/(-25) + 1\/7. Which is the closest to m? (a) 3 (b) -0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 7}. What is prob of picking 1 z and 1 a?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 - 4*s**5 + 2*s**4 + 5*s**4 + (s**2 - 2*s**2 - s**2)*(2*s**3 - 2*s**3 - 2*s**3) + s**5 + 0*s + 0*s.\nAnswer: s**5 + 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7710 divided by 2570?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 3*t**2 - 5*t - 1. Let r be j(3). Let x(q) = -q - 18. Let s be x(r). Let l = 3.7 + -0.7. What is the third biggest value in s, l, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 514 and 340.\nAnswer: 174760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55302?\nAnswer: 2, 3, 13, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 555 times -0.2167\nAnswer: -120.2685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezezzze. Give prob of picking 3 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1 + (-7)\/6). Let b = 1739 - 1216. Let o = b - 519. Put -1, x, o, 0 in decreasing order.\nAnswer: x, o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = 17*q - 42 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h - 3 = 0. What is the units digit of h + 0 - (-31 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*j + 1, -4*b + 16 = 2*j. Suppose -88 = -h + 2*a, b*h + 10*a - 158 = 5*a. What is the greatest common divisor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*h - 112*h = j + 18, 90 = 2*h - 5*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3365526156?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659668077.\nAnswer: 743, 2233739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = y + 8, -5*y + 15 = 3*q - 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*o - 96 = -2*r, -4*r = -5*o - 321. Let g be 2*-237*((-315)\/54 - -6). Let x = r + g. Solve 2 = -a - z - 0, -x*a - 12 = 4*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13.7 and -350.834409?\nAnswer: 337.134409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 17*l - 27. Let d be g(-15). Suppose 0 = -d*y - 6*y + 27. Solve -n + 6 = y*k, -3*n + k = -n + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 8*j**2 - 8*j + 8. Let z be g(-7). Let t be 12\/z*50\/(-4). Let r be (4\/t)\/((-4)\/5). Which is greater: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) - (-1*(1 + sqrt(2299) + sqrt(2299)) - sqrt(2299)).\nAnswer: 1 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 - -974\/9. Let i = 1459100\/309 + -4722. Let c = i + -212\/927. Does j = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/34 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22012211 (base 3) to base 4\nAnswer: 1131211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 3*k**2 + 5*k + 8. Let t(c) = c - 7. Let x be t(3). Let y be q(x). Sort -2, y, -1 in increasing order.\nAnswer: -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -386.9265 + -0.0735. Let s = 414.8 + f. What is s rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/14 (b) -4\/5 (c) -1\/9 (d) 64.4 (e) 4 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/14)\/(5\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 405*h**4\/8 + 507*h**3 + 13425*h**2\/8 + 7389*h\/4 + 27 = 0.\nAnswer: -4, -3, -2\/135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-4)\/(-660)*5?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 3 + 4 + 9 - 359*r - 475*r.\nAnswer: -834*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*n**4 - 68*n**3 - n**2 + 281*n - 5 wrt n?\nAnswer: 1392*n - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from ffqcccbcbfbcfcfez?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from {k: 2, r: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 35633824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76912 and 3253028?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-2)\/sqrt(12))**2 + sqrt(19) + 1 - (-6*sqrt(95)\/sqrt(5))**2*2.\nAnswer: -1291 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7c + -16?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 16. Let j = -8 - z. Suppose 2*p - j = 19. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-2\/7))\/b)\/b*(b*((b\/b**(5\/4))\/b)\/b)\/b)\/(b**(-1\/11)*b\/(b\/(b\/(b\/b**(1\/9))))))\/(b**(4\/5)\/b*b*(b\/b**(3\/4))\/b)**(1\/74) assuming b is positive.\nAnswer: b**(-3647783\/1025640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {z: 2, x: 4, b: 8}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**6\/120 - w**5\/60 + 7*w**3\/6 - w**2 - 552. Suppose b = 4*b. Determine l(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 377948646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 6:50 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 + 70*c**2 + 5. Let a be f(-35). Let g = 528 + -524. Sort a, g, -2, 0 in decreasing order.\nAnswer: a, g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Let i be 16\/6 + (-2)\/3. Let c = 0 + i. Solve d*u = -4*r + 5 - 19, 5*r = -c*u - 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4060?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.973349 from 3650.\nAnswer: 3650.973349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -821152771?\nAnswer: 821152766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*g + d, 0 = 5*d. Suppose 2*n - 5*a = 23, g*n + 3*a + 1 = -2*n. Suppose 3*l + r - 284 = 0, -n*r = -4*l - 7*r + 382. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/908617 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/4))**50)**(-2)*(h*h*h*h**(1\/4)*h)**(2\/87)*(h**(-2\/7))**13 assuming h is positive.\nAnswer: h**(-156655\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 16584, 35.\nAnswer: -4, 2, 35, 16584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(22)\/sqrt(2) + sqrt(11)) - (sqrt(22) + sqrt(22)*1)\/sqrt(11) - ((-1*sqrt(200))**2 - (-1 + sqrt(2))*-5).\nAnswer: -195 - 13*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1\/((-12)\/(-26)). Is t > -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 93 in decreasing order.\nAnswer: 93, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 1:23 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i. Suppose 19*v - 18 - 39 = 0. Factor 0*o**2 + 0*o**v - 2\/3*o**4 + 0 + 2\/3*o**5 + i*o.\nAnswer: 2*o**4*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273368.\nAnswer: 2, 3, 17, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = -4*n + 104. Let b = n - -66. Suppose -107 = -b*s - y - y, -173 = -5*s + 2*y. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssspgsgssssspspgsgs. What is prob of picking 1 g and 1 p?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeelevaeleealeeeqe. What is prob of picking 2 l and 1 a?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 440.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 11\/32, -4, -0.3?\nAnswer: 11\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(34)\/sqrt(2) - sqrt(17)) + -4)**2.\nAnswer: 16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6821924 plus 896.02?\nAnswer: 6822820.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.28841 + 0.11263. Let u = x - 0.481. Let h = u - -0.08. What is h rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15*245\/588.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147 + -148. What is the nearest to 44 in -0.09, x, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37350756613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/8 + 12\/(-128)*-4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4 - 16. Let c(m) = m**3 + 3*m**2 - 5*m - 6. Let d be c(f). Let j be (18\/15)\/(d\/(-5)). Solve 0*r = -j*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*o - 2. Suppose -4*y = -5*k - 4 - 28, -3*k = 2*y + 6. Put 4, o, y in ascending order.\nAnswer: o, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -13*c**5\/12 - 533*c**2 - 2*c - 1. Let u(h) = 3*h**2. Determine u(t(g)).\nAnswer: 12675*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23318, 93264, 209784, 372830, 582354, 838308?\n\"Answer: -8*y**3 + 23335*y**2 - 3*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -22*m - 6. Let d(c) = c + 2. Let n be d(-2). Suppose n = -m*p - 10, -26 = -0*w - w + 4*p. Calculate the highest common divisor of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68249, 68206, 68163, 68120, 68077, 68034?\nAnswer: 67991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cemccmfcccmc. What is prob of sequence cfme?\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -915792 - -1660707. Suppose 26*v = z + 1790085. What is v rounded to the nearest 1000?\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -12 + (-11 - (-4 + -13))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 - 1 = 2*p, -2*o - 2 = 4*p. Is p greater than 2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -101346 = -101347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 78528*f + 3620752.\nAnswer: -4*(f - 19678)*(f + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*q + 2*i, -q - 6 = -0*i - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 597 and 38067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 540*a - 8330. Calculate d(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*((-31)\/(-5) + 1). Let m = x - 45. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75735 divided by 15147?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/28*-3*(192 + -1). Let x = -82 + l. What is the third biggest value in x, -38, -2?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6203*r + 3. Let a(d) = 3*d. Give a(k(j)).\nAnswer: 18609*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -15. Suppose j + u = -2*n + 13, -5*j + 93 = -n. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2644 + 2647 + 48*u - 5291 to c*u + v and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*q + 398. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 25 = 9. Let q be 16\/b + 1 + -1. Suppose -q*y = -y - 171. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -255*b**2 - 3588*b - 247. Calculate l(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (14\/21)\/((-30)\/15)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108005251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12776 + 18681. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 + 3*r**4 - 7*r**4 + (-4 + 1 + 0)*(-2*r**4 - 1 + 1) - r**4 - 4*r**4 + 2*r**4 + (0 - 2 + 3)*(3*r**4 + r**4 - 3*r**4).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -124, -105, -68, -7, 84, 211?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29701 - 29676. Solve -18 = -n*q - 93 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58074059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -59*t + 57*t, -4*v = -5*t - 13. Solve -4 + 14 = v*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 + 3*d**2 + 3*d. Let b(m) = -m**5 - m**3 + m**2 - m. Let i(w) = 3*b(w) - q(w). What is the second derivative of i(s) wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365569122 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 44. Let z be v\/(-24) + 5\/30. Solve 3*w + z = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w + 11. Let k(n) = n - 2. Give 3*k(y) + r(y).\nAnswer: -8*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000025878947 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251663 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 13308218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2*q - 52*o**2 + 2*q - 520 with respect to o.\nAnswer: -4*o*q - 104*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/12, 2, -5, 0.2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 - 20*t**3 - 189607*t**2 + 89223145*t + 2 wrt t.\nAnswer: 12*t**2 - 120*t - 379214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 2112 + 144. What is the greatest common divisor of m and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*k - 7 = -23, 4*k + 7 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5 = 3*p. Let l = 26 + p. Let s(h) = 629 + l*h - 629. Let j(i) = 3*i**2. What is s(j(w))?\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) - (-2*sqrt(63) + sqrt(63))) + 2*sqrt(28).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -21 + -3 + 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7271753944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 75.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((1 - -5) + -9 + (2 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/6*(-652)\/(-815). Let w = -4.92 - 0.08. Which is the closest to j? (a) 0.046 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35712471 is divided by 628.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0058875 to 4 dps.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -45.2523 + -3\nAnswer: -48.2523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 32 (b) -2 (c) 0.084 (d) 0.4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -s. Suppose 3*d - 5*i - 65 = 0, 5*d + s*i = 5*i + 102. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n**3 + 2*n**3 + 451*n + 8*n**3 + (-3 + 5 - 3)*(3*n + n**3 - 3*n) + n**3 - n**3 - n**3 to the form d*n + x*n**3 + y*n**2 + v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/10 and -65\/116?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-2 - 2) - (-11 + 9 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.855 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8766762 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z**(4\/15)*z)\/z)*z*z*z\/(z**11*z)*(z*z*z*z*z\/z**(-9))\/z**(-4\/3) assuming z is positive.\nAnswer: z**(106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.003 and 6.\nAnswer: 6.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/6 + 86545*p**3\/6 + 935930000*p**2\/3 - 4682896000*p.\nAnswer: p*(p - 15)*(p + 43280)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-10)\/(7 - 9). Let k(u) = -u - 2. Calculate k(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8706 + 7134 = 24*r. Suppose 10*y = 12*y - r. What are the prime factors of y?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 9. Let w(n) = 7*n**2 + 8*n + 6. Let a(u) = -13*u**2 - 15*u - 11. Give k*w(x) - 6*a(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 26950369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5268615413 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9727138?\nAnswer: 2, 4863569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 294071 and 294074 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1165721, -4662878, -10491471, -18651500, -29142965, -41965866, -57120203?\nAnswer: -74605976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-7 + 2 - -7). Let d(h) = -h**2 - 4*h - 3. Let i be d(r). Which is smaller: i or 3\/107?\nAnswer: 3\/107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24896.74 weeks in nanoseconds?\nAnswer: 15057548352000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2495 + -40?\nAnswer: -2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013618 is divided by 337869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 265 and 816995.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n + 4 + 0*n - 2. Let z = -22 - -20. Let u(f) = f**2 + 21*f - 11. Calculate z*u(v) - 11*c(v).\nAnswer: -2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 171*u**2 + 4006*u + 221. What is h(143)?\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3213, 2656, 2027, 1326, 553, -292, -1209?\nAnswer: -2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -78549, -78547, -78545, -78543?\n\"Answer: 2*m - 78551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -273, -2, 115 in descending order.\nAnswer: 115, -2, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2283627 = 5*z + 2*q, -q + 973186 = 4*z - 853718. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**19)*i*i*i\/(i*i**1\/i))\/((i\/(i*(i\/(i\/(i\/(i**20*i))*i))\/i))\/i)**(-7\/8) assuming i is positive.\nAnswer: i**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*l - 99 = 183*l. Let k(t) = 6*t - 28 - 15 - 3. Let f be k(l). Solve -5*q - f = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 n when three letters picked without replacement from bnovyyw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (696*d - 696*d + 57*d**2)*(5 - 5 + d) + (7*d**2 - 4*d**2 - d**2)*(4 - 4 + 2*d) to b*d**2 + v*d + j*d**3 + g and give j.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = 8. Let r(a) be the first derivative of a**2 + 1\/3*a**3 - 5*a + 4. Give r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/300 + y**4\/60 - y**3\/30 - 57*y**2\/2 + 3*y + 9. Let a(w) be the first derivative of j(w). Solve a(z) = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19628898 + 38265361. Suppose 4*c + i = 5036463. Round c to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 29 - ((-14 - 5) + 6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3541736.545 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60964831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (4 - (-2 - 0)). Let o = b + -3. Suppose 8 = 4*c + j, 3*c + 5 = 3*j - j. Solve -m + o = -c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-3) + ((-7)\/(-15))\/((-7791)\/(-42665))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**2\/2 + 5*g - 28. Let l be a(-3). Solve -3*i - 8 = 2*d, -l = 4*d + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1498\/5 + 40*j + 2\/5*j**2 = 0. What is j?\nAnswer: -107, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -5*b**3\/6 - 4*b**2 + 5*b. Let v be l(-2). Suppose -3*k - v*f + 1965 = 201, -5*k - f + 2947 = 0. Round k to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:55 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h. Let l(b) = -2*b + 3. Let o(k) = 6*k - 8. Let w(i) = 8*l(i) + 3*o(i). Give w(j(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 7432b8?\nAnswer: -7432b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 867621593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 18*r - 398. Calculate h(-16).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 61. Solve -2*j = v*p + 16, -3*p = p + 5*j + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.029 in -153705, 0.3, -3, 11\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8960, -1, 3833 in decreasing order.\nAnswer: 8960, 3833, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/567 smaller than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12689207.15 rounded to the nearest 100000?\nAnswer: -12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-6)\/(-8)*40\/(-5))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 - 48*p**2 - 4*p**3 - 12*p + 25*p**2 + 13*p - 1 + 24*p**2. Suppose -4*s + 1 = -4*u + 17, -2*s = -3*u + 13. Give k(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, 16\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9770 and 47831966?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78949486 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 12. Let x be j(-9). Which is smaller: -0.02 or x?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-52)\/(-9) - 6\/(-27). Let h(b) = -b + 6. Let g be h(a). Suppose -4*q = -g*q - 60. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 10*d - 2*d**2 - 26 + 0*d**2 + d**2. Let n be m(-12). Is 0 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 4*s**2 + 397*s - 770. Give j(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1215 + -1085. Calculate the remainder when t is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -127\/689, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 5*n - 5*n**2 + 12*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19788 divided by -9894\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + (-4)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740 + 1958 = -87*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 2109 = -10*b. Suppose 9*z + b = -620. Let v = z - -554. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*l + 4*l + 5 = 0, 0 = -4*d + l - 15. Let z be (-8)\/28 + 114\/7. Suppose -6 + z = 5*h. Sort d, h, 4.\nAnswer: d, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -14. Let r = -6 - b. Solve d + 2*f = -r, 5*d - 4*f - 16 = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*z - 11 - 0, -z - 5 = -v. Let f be (-2)\/(-10) - v\/30. Is (1 - f)*(134 + 2 + -2) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 29 and 434.81994886.\nAnswer: 463.81994886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17\/7 - 264\/616. Suppose -38 - 32 = -5*q + 4*t, q + 3*t - 14 = 0. Solve p*h + 1 = 3*b, h + q = 2*b - 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3286 - -0.004.\nAnswer: -3285.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38844*m**3*s + m**2*s + 2*m**2 - 31936*s wrt m.\nAnswer: -116532*m**2*s + 2*m*s + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 7, n: 1, a: 5}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5542 - 5541.9867. Which is the second smallest value? (a) 0.5 (b) -0.2 (c) 0.2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21395 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b - 15*b - 4*b - 11*b - 3*b + 32*b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5\/2 + 30*u**4 - 435*u**3\/2 + 705*u**2 - 1050*u + 588.\nAnswer: -3*(u - 7)**2*(u - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3253.934110083 + 0.3\nAnswer: -3253.634110083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 16.23967km?\nAnswer: 16239.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 8, 34, 92, 194?\n\"Answer: 2*q**3 - 2*q**2 - 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 103\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 54*k**2. Let l(m) = -1005*m + 4. What is g(l(a))?\nAnswer: 54541350*a**2 - 434160*a + 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20557, 20560, 20563?\nAnswer: 20566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + j**3 - 6*j - 6 + 9*j**2 + 0*j**3. List the prime factors of q(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.99029 * -54\nAnswer: 161.47566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 115. Let z = 62 + x. Which is the second smallest value? (a) 0.3 (b) 1\/6 (c) 3\/5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5095 + 20383\/4. Let i(l) be the second derivative of 0*l**2 + 15*l + 0*l**3 + 0 - h*l**4 - 1\/2*l**5. What is the third derivative of i(d) wrt d?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318343, -318348, -318353, -318358?\nAnswer: -318363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.36 - -17. Let h = 3739 - 3738.63946. Let f = h + u. What is f rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 7*q**2 - 312*q - 35. Let m be r(11). Solve 147 = 21*g + m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/17 or 943?\nAnswer: -28\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3548260 = 69*w - 166*w. List the prime factors of w.\nAnswer: 2, 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((60\/32)\/(-5))\/((-45)\/(-20)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/((-4)\/((-16)\/3)). Suppose -3*p + 3*o = 3, o - v = -4*p - 0*o. Suppose 239 = 3*a + 2*l, a + 3*a = p*l + 347. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 159*(-12)\/234 - -4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12990?\nAnswer: 2, 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 50*w = 22*w. Solve o = z - 4, w = -2*o - 2*z + z - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -6*w**2 - 9*w + 21. Let l be t(-1). Solve 0 = -l*r - 5 - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, -1167, -3, 2.4 in decreasing order.\nAnswer: 2.4, -3, -70, -1167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s - 30*s + 405 = 9*s. Let w(n) = n**3 - 4*n**2 - 6*n - 7. Give w(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011 + -20222001?\nAnswer: -21001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 19*i + 33. Let h be p(-11). Put 4, h, -2, 5 in increasing order.\nAnswer: -2, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + g**2 + 9*g + 17. Is b(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 - 154*a**2 - 283*a - 4141. Give y(-50).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 + 320*f**2 - 9008*f\/7 + 9024\/7.\nAnswer: 4*(f - 2)**2*(f + 564)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2 + 6*n - 9. Let w be i(-4). Suppose 5*d - 72 = 2*p, -d + 0 = -p - w. Which is smaller: 12 or d?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.78 and 106.3.\nAnswer: -189.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/(10\/20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/20 - 5*h**4\/6 + h**2 + 2*h. Let v be o(10). Suppose i - v*f + 6*f = -9, -i = f. Sort -5, i, 0 in descending order.\nAnswer: i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3\/11))\/(w*w**(-31)) assuming w is positive.\nAnswer: w**(338\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 112893623?\nAnswer: 112893620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140342214 (base 5) to base 14.\nAnswer: 148977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 3*t - 15. Let c be 15\/(-8 - -5) - -10. Which is greater: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -1414?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (-3)\/6*-6. Let q be (2\/(-2))\/(-3 - f). Let b be 27\/(q - 6\/8). Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 3. Let c(a) = -a + 15. Let x be c(10). Let k be s(x). Put -5, 1, k in increasing order.\nAnswer: -5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**2\/2 + 43*t + 11. List the prime factors of l(0).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13440072 - 464.122.\nAnswer: 13439607.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**3 - 7*y**2 - 7*y + 2. Let o be t(-3). Let w = o - 117. Suppose 0 = 3*a - 15, w*d + 19 = 5*a + 9. Solve -5*g = -d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 5*g**2 + 77 + 91 - 256.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s)*(-91*s + 330 - 330) + 6*s**2 - 34*s**2 + 5*s**2.\nAnswer: -114*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.2, -1.18985, -2 in increasing order.\nAnswer: -2, -1.18985, 13.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10195, -11165, -12065, -12889, -13631?\n\"Answer: z**3 + 29*z**2 - 1064*z - 9161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7298.227 grams?\nAnswer: 7.298227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 - -22 - (8 + 30).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2065 and -14463\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -70, -191, -434, -841, -1454, -2315, -3466?\nAnswer: -4949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2692928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-42)\/(-168))\/((-5)\/(-4)*1). What is the closest to 0.1 in a, -0.5, -0.07, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/8 and 65\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*f - 2\/3*f**3 + 0*f**2 + 0 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -38, -53, -84, -137, -218, -333, -488?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1573370 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + -0.9. Suppose -721 = 2*l - 129. Let o = 2068\/7 + l. Which is the closest to 0.1? (a) 0 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 37*m**3 - 193*m**2 - 98*m + 2. Calculate c(5).\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a*f**2 + 105*a*f + 2*a + 11*f**2 + 28108 wrt f?\nAnswer: -12*a*f + 105*a + 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240879 plus 0.1?\nAnswer: 240879.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 126\/24 - (2 - -2). Is 2 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200201211 (base 3) in base 11?\nAnswer: -a296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aaa2 - -410?\nAnswer: 10402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t + 398500 + 23945. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -9, -2*b + 0*p + 3*p + 23 = 2*b + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4760 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 367097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 75, 254, 599, 1170, 2027, 3230, 4839?\nAnswer: 6914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6910 is divided by 6823?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 41 - 33 - 4*q + 5*q. Let r(y) = -y - 7. Suppose -x + 2*i = 5 + 4, -5*i - 23 = 4*x. Calculate x*r(g) - 6*d(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587963084?\nAnswer: 2, 59, 2491369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, s: 14}. Give prob of sequence ii.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + 406*c - 406*c - 46.\nAnswer: -7*c**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 7*n - 1 + 2*n**2 - 2*n**4 - 3*n**2 + 3 - 4 in the form k*n**4 + z*n + i*n**3 + r + w*n**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56509387, 56509385, 56509383, 56509381, 56509379, 56509377?\nAnswer: 56509375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + -56. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -8, -5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-35)\/140). Let l be v\/10 - (-1568)\/160. Solve 3*n = 8*n - l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19966 = -478*n - 6334 - 17388 + 4014 for n.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*c + 12 = 0, c + c - 14 = -3*m. Let p(z) = -z**3 + 8*z**2 - 7*z - 7. What is p(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.51, 37, -3\/4.\nAnswer: -3\/4, 1.51, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/3)\/1 + -3. Suppose -4*p = 16, -l*a + p = -5 - 19. Solve 3*c + 8 = -4*q + 7*c, -a*q = 5*c + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*p - 119*p - 29 = -13*z, 0 = -z + 3*z + 5*p + 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**2 + 205*j - 198. Determine u(-35).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17475 - 2*z**2 - 37*z + 17475 - 23*z to w*z + s + k*z**2 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 - -351057?\nAnswer: 351426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1424422000 to the nearest 1000000.\nAnswer: -1424000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/744 and 43\/2976.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 27*c = -24*c - 30, -4*u = -14*c - 130. Let z(x) = -x**3 + 15*x**2 - x - 33. What is z(u)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1155 - -5?\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0305909326 and 5.3796?\nAnswer: 5.4101909326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 28 = 0, -74 + 57 = z + 5*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 247197*v - 247122*v + 975 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 7*f**2 - 5*f - 7. What is l(-8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -1. Let g = -28 + 20. Let p = g - -7.6. Sort p, h, 0.4 in increasing order.\nAnswer: p, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -11*p**6\/30 + p**2 - 3*p. Find the first derivative of u(c) wrt c.\nAnswer: -44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-1\/2))*z)**(1\/5)*((z\/z**(-1\/12))\/z)\/z*(z**(-3\/2)*z)\/z*((z**4)**(-28))**39 assuming z is positive.\nAnswer: z**(-262219\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1427 = -16*k + 1453. What is the smallest common multiple of k and 24?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*((-3)\/9)\/1. Suppose 4*m + 4 = 4*r, -2*r + 0*r = 5*m - 30. Let g = 14 - r. Solve o - 2*s + g = 0, n = -4*s + 12 + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 7 (b) -2\/5 (c) -24 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 530\/14 - 1\/(-7). Let s = q - 36. Suppose -s*j - 26 = 2*w + 2*j, -w - 25 = 5*j. Sort 0, -6, w.\nAnswer: -6, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/3109 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 1078.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1134937 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3128298, -3128290, -3128276, -3128256, -3128230, -3128198?\n\"Answer: 3*g**2 - g - 3128300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*l**2 + 191418*l - 104400.\nAnswer: -3*(l - 5800)*(11*l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.024 and -1641.6?\nAnswer: -39.3984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:41 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82919*a - 41495*a - 41419*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 17*p + 4. Let r be v(-17). Let b be 2 + (r - 96\/17). Let n = 29\/34 - b. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, 22, -3, 0, -0.4 in descending order.\nAnswer: 22, 10, 2, 0, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-56)*(-847)\/242?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 5*h - 2*x, 0 = 652*h - 639*h + 3*x + 195 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69216274.\nAnswer: 2, 34608137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13448.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) - sqrt(3024)*1)\/(sqrt(12)\/(2*sqrt(4))) + -4*(-1 + sqrt(1008))**2*5.\nAnswer: -20180 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/3 - 178*i - 536\/3 = 0?\nAnswer: -1, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 15*n + 4. Determine j(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4 - 98*f + 85*f + 2. Calculate o(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by 92?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2608?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 504*z - 221678. What is b(-282)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361677906?\nAnswer: 2, 3, 59, 61, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42)\/sqrt(2))\/sqrt(7) - (sqrt(192) + 2*sqrt(192))) + sqrt(15)\/(1*sqrt(25)\/sqrt(5)))**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o**3 + 17*o**2 + 20*o - 8. Let v(b) = -3*b**3 + 6*b**2 + 7*b - 3. Calculate 6*q(h) - 17*v(h).\nAnswer: -3*h**3 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4\/3, 0.2, 2, -7, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3394 > -3594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 + 2*p. Let j(h) = -13*h**3 - 6*h. Determine 4*j(c) + 11*n(c).\nAnswer: -8*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/12 + 5*z**3\/6 - z. Let t be (-2)\/12 + (258\/36)\/1. Let c be (-2)\/t - (-130)\/(-35). What is h(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + p = -5*k + 34, 51 = 3*k - 4*p. What is the remainder when 67 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(144)*-4)\/(-4*(-4*sqrt(96) + sqrt(96) + sqrt(96))\/sqrt(8)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 15078 - 15122 = -4*a, a + t + 7 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from eeehlhhhhehkhhhehhh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997*t - 13 + 46 = 994*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 + -958?\nAnswer: -933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -663007, -1326103, -1989201, -2652301, -3315403?\n\"Answer: -r**2 - 663093*r + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 9, 4, 12, 0 in increasing order.\nAnswer: 0, 1, 4, 5, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 411795513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13*m - 7. What is the remainder when n(2) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 129. Let i be 34\/((-476)\/(-1890)) + 57. Calculate the highest common factor of w and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99154*m**5 - 62*m**2 + 255.\nAnswer: -5949240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*h**2 - 63\/2*h - 270.\nAnswer: -(h + 9)*(h + 180)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5491456 or -10982909\/2?\nAnswer: -10982909\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 590.\nAnswer: 589.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*p = 30, -5*q - 38 = -4*p + p. Let h be 7 + 3 + -13 - q\/3. Which is the closest to -3? (a) -1\/2 (b) -2\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 908 + -1302. Let i = 790 + a. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 0 - (71 - (10 - -48))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k. Let c(d) = 4*d + 2*d - 3 - 3*d. Let u be c(2). Let m(o) = o + o - u*o. Determine m(n(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17940000 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111.00000375 - 111. Round q to 7 dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 236, 248, 270, 308, 368, 456?\n\"Answer: v**3 - v**2 + 8*v + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 852093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 491 - 252. List the prime factors of r.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 - 2*r - 9. Calculate the remainder when 40 is divided by y(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y + 1. Let h be q(-3). Suppose 5*d = 4*k - 137, k = -4*d - h + 69. Suppose t = -t + k. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928110604 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(33\/(-18)) - (14362 - -22). What is d rounded to the nearest one hundred?\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/9 + (-4)\/(-18). Let q = 328 - 179. Let y = q - 442\/3. Are y and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*i - 2257 = -4*v - 184*i, -v + 5*i + 538 = 0. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(21) - sqrt(105)\/(sqrt(5)*2)))\/sqrt(3) - (-1*sqrt(343) + -5).\nAnswer: 5 + 17*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 384 = 69. Suppose u - 12 = -3*f - 0*f, 2*u + 5*f - 23 = 0. What is the lowest common multiple of u and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 113*u + 1111. Calculate s(-8).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - (8 + -1)) + 5 - -1) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2049, 2047, 2045, 2043, 2041?\nAnswer: 2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 3. Does 5 divide 19\/5*(6 - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12101202 (base 3) in base 2?\nAnswer: 111101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/185?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (21\/14)\/((2 + 0)*(-507)\/(-26))\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 32*v**2 - 18*v - 180. List the prime factors of o(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (-21 + -3 - -24).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 + ((-6517)\/(-336))\/(-19))\/(-1)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6900.6 - 6901. Put 10, l, 5, 3\/2 in decreasing order.\nAnswer: 10, 5, 3\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5 = -5*d, d + 11 = -5*q - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1458 is divided by 1315?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -5*l**2\/2 - 2*l - 3. Let w(q) be the second derivative of -10*q + q**3 + 3\/2*q**2 + 0. What is -3*c(b) - 2*w(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 - 21. Let h be q\/6 - (-12)\/(-8). Calculate the highest common factor of 132 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 4*o**2 + 3*o - 7. Let j be s(4). Suppose 4*m + 45 = j*a - 0*a, -3*m = -5*a + 30. Is ((-20)\/m)\/(1\/6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (-3 + (0 - -3)). Let d(r) = 0*r**3 - r**3 + 8 + q*r**2 + r - 9. What is the tens digit of d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*q + 162*q - 8. Suppose 4*j = 2*j - 3*j. Let 0 + j*w - 2\/13*w**q + 2\/13*w**3 + 0*w**2 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6413278*b**6 + b**2 - 4915837*b?\nAnswer: 769593360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/3 - 2451896*z\/3 - 1502948498704\/3 = 0.\nAnswer: -1225948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 + -2 - (3 - 15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 10, -2*f + 6*k + 64 = 4*k. Suppose 28*a - f = -6*a. Sort 7, -5, a in decreasing order.\nAnswer: 7, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/308)\/(-15)*(-6148)\/23055\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 2. Let l be h(7). Suppose l*d = d. Suppose s + d*s - 6 = 0. What is the smallest common multiple of s and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.349 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0, -3\/10, 0.8, -4, 0.3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216730\/83 or 2612?\nAnswer: 2612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-675)\/12)\/((-1524)\/(-2032))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7333, 14670, 22011, 29356?\n\"Answer: 2*c**2 + 7331*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 3*n. Let z be (9\/n)\/((-1)\/2). Let m be 2\/z + (-14)\/63. Solve 4*x = m, 5*x - 3*x + 20 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3920 + 7329. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 32*l**2 + 0*l**3 + 19\/45*l**5 + 0*l - 1\/18*l**4 + 0 - 361\/360*l**6. Factor z(h).\nAnswer: -h*(19*h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -b + 290, 0 = -5*b + 5*w - 251 + 1731. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18330 and 3215?\nAnswer: 11786190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 1 g when three letters picked without replacement from bzwbzbwnqzgbnwbzgbg?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + -1 - -3)*-1. Let n(b) = b**3 + 7*b**2 + 7*b + 6. Let l be n(-6). Suppose l*o + 10 = -2*o. Sort w, 4, o.\nAnswer: o, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546*w**3 - 1867*w**3 + 466*w**3 - 1754*w**3.\nAnswer: -2609*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - 4.84. Let i = l + -0.02. Let b = 5 + i. Round b to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvfg when four letters picked without replacement from {f: 2, v: 2, h: 1, t: 4, g: 10}.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1031578 and 118158?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose -63 = -m*u + 25. Suppose -3*i - w + 7 = -101, -5*w = i - u. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -372 greater than -26392\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - n = -25, -25 = -4*z - z + 2*n. Suppose -z*u = -3*j - 15, -2*j = 4*u + 5 + 5. Put 2, j, 4 in descending order.\nAnswer: 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -93, -40, 55, 198, 395, 652, 975, 1370?\n\"Answer: v**3 + 15*v**2 + v - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14*-3*56\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 5*k - 105, 7*c + 60201*k - 60203*k - 142 = 0 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27795285 rounded to 4 decimal places?\nAnswer: -0.278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 - -13 - (-3 - -8 - (142 + -145)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76048277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3374, 6128, 8882, 11636?\nAnswer: 14390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44406806 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q**3 + q**2 - 2*q - 2. Calculate k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 349, 569, 1003, 1723, 2801, 4309?\nAnswer: 6319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 6 + 11 + 23*a**4 with respect to a.\nAnswer: 92*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-201780)\/1368*((-10)\/5)\/(5\/2)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let o(s) = 0*s**2 + s**2 + 6*s**2 + 0*s**2. What is o(p(m))?\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 + -4. Let y = 4.3 - 4. Let r = y - j. Which is the second smallest value? (a) 1 (b) r (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26073.922261 - 26074. Let h = 0.0797 + m. Let x = -0.002 + h. Round x to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + 123. Let b = -76 - -82. Suppose -b*r - u = -9*r. What is the remainder when 35 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1379, -1378, -1375, -1370, -1363?\n\"Answer: g**2 - 2*g - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 1869181*f**2 - 2620377273480*f + 7861137427984\/3.\nAnswer: -(f - 1)*(f + 2803772)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9150 by -3.\nAnswer: -3050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/11 and 73\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 47*r**2 + 523*r - 21925. Let h be j(46). Suppose 0 = -5*c + 2*c + 1479. Calculate the highest common divisor of h and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/6, 1, -1, 389, -0.3 in descending order.\nAnswer: 389, 1, -0.3, -1, -17\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-15) + (-36)\/(-60). Suppose -3*a - 15 = -x, 0 = 2*x + 5*a + v + 13. What is the least common multiple of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.31, -8, -2, -2\/5, 9, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44700?\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1417353 (base 8) to base 14\nAnswer: a6283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3) + 576\/(-540))*-10. What is the second derivative of -w - 9*w - 8*w**4 - 3*w - 5 + z*w + 0*w wrt w?\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -59509, -119603, -179695, -239785?\n\"Answer: t**2 - 60097*t + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + g - 2*g)*(-1282*g + 2558*g - 1271*g - 5).\nAnswer: 20*g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -11*f + 7*f - 2*f + 2*f + 5*f. Let h(a) = 6*a**2 - 5*a + 5. Let j(b) = 6*b**2 - 4*b + 4. Let u(d) = -4*h(d) + 5*j(d). What is u(o(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 11.5\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82292.57t to milligrams.\nAnswer: 82292570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17660998 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 12. Suppose 35*h = 38*h. Let l(g) = h*g - 3 + 4*g - 2*g**2 + 2*g**m - g**2. Give l(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2161 by -2161.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 62.17, 0.1, -2, 2, 1\/332?\nAnswer: 1\/332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582626 rounded to the nearest ten thousand?\nAnswer: 2580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 114, -0.3, -0.2, -0.44?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*t - 841*t - 492*t.\nAnswer: -1561*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*r**2 + 15 - 30*r**2 + 26*r**2 in the form x*r**2 + w*r + n and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 110101001?\nAnswer: 110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -518.62 and 0.0396.\nAnswer: -20.537352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilixxxxzz. What is prob of picking 1 i, 2 z, and 1 l?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 92315*f. Let c(r) = r + 22. Calculate c(z(i)).\nAnswer: 92315*i + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278079 = 134*m - 58261. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -184754, -184756, -184760, -184766?\n\"Answer: -g**2 + g - 184754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/90*8\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 - -62. Solve k*n = 1 - 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 5624*q - 327488.\nAnswer: 4*(q - 56)*(q + 1462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**4\/6 - 2*y**3\/3 + y. Let k(d) be the second derivative of -d**3\/3 - 3*d**2\/2 - 3*d. Let l be k(-3). Give z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 98, 376, 840, 1490, 2326?\n\"Answer: 93*o**2 - o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 2724.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22043 and 670831.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176432208 by 11027013.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 704590000 rounded to the nearest one million?\nAnswer: 705000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g - 861. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 202.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:56 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l*v**3 + 1803842*l + 6168489*v**3 wrt l.\nAnswer: -v**3 + 1803842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-239 - 801 + 304)*(2*j - 1 + 1)*(0*j**2 - 2*j**2 + j**2)*(-8 + 0 + 7) as h*j**3 + p + l*j**2 + v*j and give h.\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163.34 - 163.44. Let w = -1 - -0.7. Which is the second smallest value? (a) w (b) -6\/11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -2\/27 (c) 1\/9 (d) -4 (e) 0.064 (f) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let j(d) = 545736*d. Give n(j(o)).\nAnswer: -545736*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 16 = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 658896*q + 4. Let i = -67 + 68. Let v be j(i). Round v to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, 6061117 in decreasing order.\nAnswer: 6061117, 21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 13*n - 13. Let h(r) = 3*r - 5. Let c be h(-3). Let a be l(c). What are the prime factors of (92\/5)\/(a\/5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - i - 6. Let b be c(0). Let k be (-9)\/(-27) - 28\/b. Let t be k + (-3 - -2) + 0. Sort t, -3, 5.\nAnswer: -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 84 (c) -5 (d) 1 (e) -2 (f) 2844\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099609569 to 5 dps.\nAnswer: -0.09961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4 = 2*o, 105*s + 20 = -4*o + 101*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9 = u, 2*u - g - 4*g = 15. Let x = u - 7. What are the prime factors of (x\/12)\/((-2)\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1612.29799 rounded to the nearest ten?\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.279597 nanoseconds in seconds?\nAnswer: 0.000000004279597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, o: 1, a: 1, m: 2}. Give prob of sequence oh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + 4\/(-6). Let s be ((-10)\/(-6))\/(((-476)\/(-51))\/28). Let n be p*(-2 - -3)*s. Let q(g) = -g**3 - 4*g**2 + 4*g - 4. What is q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4\/3, 5\/11, 1\/4, 4 in descending order.\nAnswer: 4, 5\/11, 1\/4, 0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5285 and 776140.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*h - 20, -28*q + 25*q + h + 12 = 0. Suppose 4*n + 7*t - 2*t + 25 = 0, 0 = 4*n + 4*t + 24. Put 4, q, n in descending order.\nAnswer: q, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 + 150*p**4 - 69*p**3 - 734*p**2 - 146*p + 6.\nAnswer: 60*p**2 + 3600*p - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16883 + 18833. Calculate the least common multiple of 3250 and v.\nAnswer: 9750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29913591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p + 3*l - 2, 3*p = 5*l + 60. Suppose p = -w + 4*w. Suppose 0 = -5*h - 25, 3*s - 2*s - h - 9 = 0. Sort w, s, -4 in decreasing order.\nAnswer: w, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from uuhpupuuuphpu.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -372, -1581, -3590, -6393, -9984, -14357, -19506, -25425?\n\"Answer: t**3 - 406*t**2 + 2*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 4667?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2.5, 3, 36, -12, 0.05, 4\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185.9651 decades to years.\nAnswer: 1859.651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -63597*f**4\/7 - 122692*f**3\/7 - 54601*f**2\/7 + 4486*f\/7 - 8\/7 = 0. Calculate f.\nAnswer: -1, 4\/2193, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 at least as big as -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 334 (b) -0.725 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-1)\/14)\/(((-165)\/132)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 151082*m - 151297. Give h(1).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 510641.\nAnswer: 13\/510641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**12\/((b**1*b)\/b)**2 assuming b is positive.\nAnswer: b**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7518258 or 7518262?\nAnswer: 7518258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01425774 to four dps.\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 + 147. Calculate the smallest common multiple of d and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8155560 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -192.1597 and 0.2.\nAnswer: -38.43194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(((-64)\/(-216))\/(-8)). Suppose 10*j = r + 1197. What is the lowest common multiple of j and 54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 h, and 1 j when four letters picked without replacement from jjhiujujjjjjjijjjujh?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**5\/2 + y**3\/3 + y**2\/2 - 3*y. What is the units digit of q(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5990 (b) 10.99 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeooooo. What is prob of sequence eo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 69*(-5 + -4 + 7). Let g = t - -142. Solve 0*l = -2*l - 3*i + 2, g*i = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 667726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-8)\/21*(-28)\/(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 43. Let x(f) = 22*f**3 + 1. Let y be x(i). Is y equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-456)\/88 - 4144\/77. Is -1.7 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -7 - (-290 + 311 + 2 + -4 + -4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(70)*1 - sqrt(70)) + sqrt(70))\/(sqrt(20)\/(sqrt(6)\/sqrt(3)))*-3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89867, 179080, 268255, 357374, 446419, 535372, 624215?\nAnswer: 712930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/35)\/(2\/14). Suppose 6*g - x*g = 114. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2 + 0*a + 3*a - 4*a**3 + 2*a**3. Let v(i) = 7*i**3 - 8*i + 6. Let d(r) = -8*g(r) - 3*v(r). Differentiate d(u) with respect to u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1912 = 4*i - 1888, i = -4*g + 154. Solve -33*n - g = -13*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 57*l**2 + 12*l + 693. Determine f(-57).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 65 - 58 + 2*h**2 + 80 + 125 - 3*h**2 - h**3 in the form m + o*h**3 + a*h + s*h**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 8*c - 2 + 21 + 105*c**2 - 96*c**2. Let p be b(-10). Put p, 17, -4, 0 in descending order.\nAnswer: 17, 0, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19892 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 138008390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 14)\/(-17*(-15)\/4845)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (4 + -1 + -8 - (16 - 24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/3)*n\/(n\/(n**23*n))*n*n**(-3\/7)\/(n**6*n) assuming n is positive.\nAnswer: n**(376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let k = o + 9. Suppose v - k = -4. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(175)*-2*4*-6)**2.\nAnswer: 6451200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)\/((-22)\/(-88)). Let m(h) = 3 + 5*h - 3*h**2 - h**3 + 3*h - 2*h. Calculate m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 - (-1 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14049, -13952, -13791, -13566, -13277, -12924?\n\"Answer: 32*y**2 + y - 14082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 4. Let r(p) = -21*p + 18. Let q(d) = 9*n(d) - 2*r(d). Let u(y) = -3*y**2. Calculate q(u(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 13 - 22 = 0. Calculate the lowest common multiple of s and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 37500 = 2*f. Suppose 10*o - 9580 = -f. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) 2\/13 (c) -3 (d) -5 (e) -0.253 (f) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - 0.05. Let s = -0.04 + w. Suppose -3*k = -x - 5, 5*x + 25 = -0*k - k. What is the biggest value in k, -4, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0018 + -4.0018. Put c, -0.5, 1\/6, 2.5 in decreasing order.\nAnswer: 2.5, 1\/6, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**3\/3 - 9*t**2\/2 + 4*t - 4. Let z be j(8). Let g be 2\/z + 44\/8. Solve -g*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = 0, 0 = -0*m + 3*m + 2*l - 527. Let j = -1255\/7 + m. Which is the closest to 0.1? (a) 2\/5 (b) -1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.954513 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3688, 7381, 11074, 14767, 18460, 22153?\n\"Answer: 3693*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50436 and 486.\nAnswer: 453924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -727 - -390. Let y = q - -339.94. Let n = y + -3. Is n equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 1048, 1572, 2096, 2620?\nAnswer: 3144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o. Let b(f) = -13*f. Let q(x) = 6*b(x) - 11*g(x). Let v(c) = 2*c + 35 - 35. Give q(v(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 7 + 6)*(11 - 11 + 17*k**2 + (-4*k + 13*k + 4*k)*(3*k + 2*k - 4*k)) + 5*k + 5*k**2 - 5*k to the form t*k**2 + s + c*k and give t.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1561486511+-14384\nAnswer: 1561472127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 184476*g**2 + 2126500896*g + 10637116880.\nAnswer: 4*(g - 23062)**2*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 32 + 26 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/8013 - -1784\/13355. Put -22\/9, -2\/9, x, -2\/15, 5 in increasing order.\nAnswer: -22\/9, -2\/9, -2\/15, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*(21 + -31).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a century in years?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {b: 1, c: 9, x: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c - 161 = 59 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202221 - 11212?\nAnswer: 2121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 0.05?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -32, 178, 388, 598, 808?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-351)\/6 - -1)\/(11 - (-343)\/(-28))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-150)\/(-14) - (-2)\/7. Let v = u - 7. Let q be (v\/(-90))\/((-2)\/(-10)). Which is the closest to -1? (a) q (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -804*l + 32958. Calculate s(41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(117) + sqrt(13) - (sqrt(39)\/sqrt(3) + 5).\nAnswer: -1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkckttt. What is prob of sequence ckkw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 4. Suppose 0*k = -z*k. Suppose -13103713 = -3*t - 2*l + 696295, 5*t - 3*l - 22999988 = k. Round t to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 - 2 - 44 = -71*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9605, 9622, 9657, 9716, 9805, 9930, 10097?\n\"Answer: h**3 + 3*h**2 + h + 9600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 6*b + 4. Let d be 11 + (-4)\/(-2)*39\/(-26). Determine g(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44099.9737 rounded to the nearest one hundred?\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -92449 divided by -54?\nAnswer: 92449\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 178*x**3 - 39*x + 162*x**3.\nAnswer: -16*x**3 - 41*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*j. Suppose j = 4*v + 56 + 160. Let w = v + 32. Let i(f) = 6*f + 11. Let y(c) = -c - 2. Calculate w*y(t) - 4*i(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*v - 123*v + 16 = 0. Let r be (-2)\/(-42) + v\/42. Which is the closest to r? (a) -5 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 1. What is the highest common divisor of q and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 1805. Let g(s) = -2*s + 63. Let m(c) = -7*c + 231. Let r(t) = -22*g(t) + 6*m(t). Give w(r(v)).\nAnswer: 8*v**2 - 1805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - d + 15 = 0, 27 = -29*q + 25*q + 5*d. Let m be ((-6696)\/(-162))\/((-4)\/q). Solve 0 = -4*u - 11 + m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 6 - (-38 - -5) - 3*1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25229 + 25117 = 16*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -347*(9 + (-6 - 1) - (7 + -2)). What is the highest common divisor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**15\/(m\/((m\/((m*m\/(m\/((m**(-4)\/m)\/m)*m))\/m))\/m)*m))\/(m\/((m*m*m\/(m**(-1)\/m)*m)\/m)*m*m**22) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 37 + -6 + -51 + 63.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/151? (a) -3 (b) -0.1 (c) 4 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80*a*d + 12*a + 38893*d wrt a.\nAnswer: 80*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/4573 + -388657\/73168. Let w be 5\/20 + (39\/(-12) - -2). Find the common denominator of (w\/10)\/((48\/(-2020))\/(-6)) and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -9*q + 9. Solve q*k + k + 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5797343?\nAnswer: 151, 38393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-100) + 61\/5. Let x(v) = v**2 + 3*v + 8. Let c be x(-11). What is the greatest common divisor of u and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 18*w**2 - 50*w**2 + 3*w - 3*w + 43*w**2.\nAnswer: 11*w**2 - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/2 + 129*o\/2 + 135.\nAnswer: -3*(o - 45)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 22. Solve l = -3*l - 12, -h*l + 1 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138044046?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, h: 2, p: 1, n: 1, z: 1, v: 1}. What is prob of picking 2 a, 1 n, and 1 v?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -4*i**3\/3 + 81*i**2\/2 - 1002*i. Determine t(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y**(-21)*y))\/y*y)\/y**9)**42)**(-2\/21) assuming y is positive.\nAnswer: y**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 6*q**3 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144839105.\nAnswer: 5, 28967821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -68*t - 131. Let a be p(-2). Solve -2*r + a*h - 27 = 0, -2*h + 3*h = -2*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145952.\nAnswer: 2, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = 9*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 106562596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -528, 996, 2524, 4056, 5592, 7132, 8676?\nAnswer: 10224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a**2 + 2*a + 1. Let n be d(-1). Let c(z) = 9*z - 1. Let k(y) = -8*y + 1. Determine n*k(l) - 6*c(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {b: 1, q: 1, l: 1, i: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbbm.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(0 + 8)*0. Suppose i = 2*o + 30, 3*o + p*o = 15. Suppose 6*s = 4*b + 2*s - i, -3*b = -4*s - 35. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*x**2 + 4 + x - 2 - 209*x**2 + 425*x**2 as w + s*x + a*x**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16802)\/(-130) - 10\/(-65). Let r = f - 129. Sort r, -5, -3\/7 in increasing order.\nAnswer: -5, -3\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706 = -f + 5*r, 0*f - 5*r - 2899 = -4*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 127 = 3*y + 149, 4*y - 3*h + 347 = 0. Let d be 2\/(-8) + y\/(-4). Calculate the highest common factor of 33 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 14654113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 375 - 371. Put 0.4, 45, d in descending order.\nAnswer: 45, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 184*h**3*u**6 - 4*h**3*u**3 + h**3*u - 156*u**2 wrt u.\nAnswer: 22080*h**3*u**3 - 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -11\/12*c**4 - 1\/30*c**5 + 0*c**3 - c**2 + 5*c + 0. Solve f(a) = 0 for a.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 2\/137575 (c) 0.237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 - (5 - (-2 + -13) - (23 - (30 + -13)))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 3*q**2 - 3*q - 4. Let l be u(4). Suppose l = 2*m - 7*m. List the prime factors of 8 + m - (3 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1741970.\nAnswer: 2, 5, 174197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r - 20. Let a(n) = 6*n - 16. Let g(m) = 5*a(m) - 4*x(m). Let t(p) = 2*p**2 + 71*p. Determine g(t(v)).\nAnswer: 4*v**2 + 142*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185516 and 21052.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -1136?\nAnswer: -5\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -506 + 506. Suppose 422 = -z + 5*k + 1390, -z + 2*k + 953 = u. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1070*b**3 - 562*b**3 - 560*b**3)*(-40*b - 3*b - 18*b)*(2 - 2 + 1) as t + l*b + s*b**4 + n*b**3 + v*b**2 and give s.\nAnswer: 3172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/28072 and -3\/552970.\nAnswer: 64144520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.025 - 0.975. Let h be ((-34)\/16)\/(32\/64) - -5. What is the closest to h in 2\/9, s, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 5, v: 1, i: 1, p: 1}. What is prob of picking 1 n, 1 v, and 1 p?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*n + 2*n. Suppose 2*q - n*q + 4 = 0. Let w(y) = -y**2 - 10*y - 9. Let x be w(-8). Solve -5 = -7*p + q*p, x = c + 3*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(208) + 0 - sqrt(208)) + 3)*-1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -2*l - 3*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 8. Let n be u(-16). Solve -3*c + 2*c = -5*f - 2, 0 = -5*f - c - n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8109.9, 3, 0.4 in descending order.\nAnswer: 8109.9, 3, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c*f**3 - 2*c*f**2 - 546*c*f - 120*f**3 wrt f?\nAnswer: 24*c - 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2622\/115*(-25)\/(-45). Factor c*f**3 - 4\/3*f + 34\/3*f**2 + 0.\nAnswer: 2*f*(f + 1)*(19*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18238 + -18233. Put f, -17, -1, -1\/2 in decreasing order.\nAnswer: f, -1\/2, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -899*t - 1023*t + 1914*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -8*f - 32. Let h(i) = -28 - 4*i**3 + 6*i**2 - 7*i + 9*i**2 + 3*i**3. Is h(f) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 7) to base 11.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t**2 - 1. Let c be h(1). Suppose 4*s - 16 = 0, -3*m + 2*s + 70 = -0*m. Let w = m + c. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000766398 to six decimal places.\nAnswer: -0.000766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Let p be (h - -1)*(-44)\/10. List the prime factors of p\/(-33) + 79\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6033*u**2 - 2007*u + 2*u**3 + 1890*u - 3013*u**2 - 3020*u**2.\nAnswer: 2*u**3 - 117*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 8, -b - 3*t + 158 + 0 = 0. Suppose 2*h = -2*s - 2*h - 96, 0 = 4*s - 2*h + b. Find the common denominator of -71\/4 and -7*(1 - (-66)\/s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qokkptikpkkpp. What is prob of sequence oit?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9378 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24887, 49633, 74379?\nAnswer: 99125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 1, k: 5, a: 2, n: 7}. What is prob of picking 1 k, 1 n, and 1 a?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24\/943 - -20525\/398889. What is the common denominator of -41\/141 and g?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.227 - -2.773. Sort 0.1, 4, -13, u in descending order.\nAnswer: 4, u, 0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c = 2*g + 2, -2*c - 2*g - 6 = 0. Factor 4*y - 3*y**2 + c*y**2 - 13*y - y**2 - 7*y.\nAnswer: -2*y*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13779 less than or equal to -12.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j - 1022. Let t(z) = -z - 204. Give 2*l(d) - 11*t(d).\nAnswer: -3*d + 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*a**3*l - 56*a**3 - 3*a*l**3 - 18984*l**3 with respect to a.\nAnswer: 48*a**2*l - 168*a**2 - 3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1311631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 787205020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06799 + -0.354.\nAnswer: -0.28601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, -127, -521, -1311, -2629, -4607, -7377?\n\"Answer: -22*v**3 + 24*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -3 - (500 - 507).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/109, -1, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:54 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 112\/12 + (-2)\/(-3). Suppose -5*x = -j*x + 90. Calculate the lowest common multiple of x and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i - 4943 - 5153. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38 from -0.182208241852.\nAnswer: 37.817791758148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 98*p - 711 + 273. Solve -p*k - 220 + 241 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.98 + -0.02. Let x be (-28)\/(-252) - 2\/(-90). Which is the closest to g? (a) -1 (b) 3\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2304, -2\/11, -2, 5 in increasing order.\nAnswer: -2304, -2, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, x: 1, h: 1, n: 1}. Give prob of sequence ax.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57957680 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41567335*x**2 - 1269190*x.\nAnswer: -83134670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -0.5 (c) 4\/3 (d) 6 (e) 1\/2 (f) 473\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/34 - (-3723)\/(-4335)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Suppose g - d*g + 40 = 0. Let a = 53 + -26. What is the remainder when a is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = l + 2*f, -2*l + f + 28 = -0. Let w = -5988 - -6069. Solve -l = w*c - 76*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from femfffffffffffffff. Give prob of picking 3 f.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1)**(-2\/11)*s**(-5)\/(s\/(s**(-3)*s*s))*((s**(-2)*s*s*s)\/s*s*(s*s*s\/(s**0\/s))\/s)\/(s**1)**(-39) assuming s is positive.\nAnswer: s**(392\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 26*q**2 - 27*q + 110. Let l = 227 - 202. What is the tens digit of a(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**2 + 133*u + 49. Calculate n(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 24 (b) 1 (c) -5 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1025 = -59. Let y = 392 - z. Round y to 0 dps.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 - 129. Which is the nearest to 2\/3? (a) -5 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2663145 divided by -532629.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10821, -21248, -31279, -40914?\nAnswer: -50153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 23\/20*t**5 + 0 + 1\/3*t**3 - 23*t - 1\/2*t**2 + 0*t**4. Is m(1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 10 = 3*s. Suppose 2 = -6*t + s. Let d be (0 + (-3 - -2))\/t. Which is the nearest to -2? (a) d (b) 0.1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*v**3 + 12*v**3 - 21*v**3 - v**4 + (5*v**4 - 2*v**4 - 5*v**4 + (3 - 2 + 1)*(2*v**4 + v**4 - v**4) - v + v + 3*v**4)*(4 - 2 - 6).\nAnswer: -21*v**4 + 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2 - 25032*l - 399744 = 0. What is l?\nAnswer: -8328, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1096395107 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*u + 661*u - 514*u = -405 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -15 + 3. Let v(d) = -2*d + 17. Let p be v(w). Calculate the highest common factor of p and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3040*k**3 - 73*k**2 + 10960*k - 309 wrt k.\nAnswer: 18240*k - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**4\/4 + 7*h**3\/3 + h**2 + 18*h - 145. Let x be a(-7). Solve 2*l = 0, -x*q + l - 12 = -0*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**4 - 855*v**3 + 35245*v**2 + 111795*v + 75690 = 0. What is v?\nAnswer: -2, -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1853253 and 486?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2))**(35\/4) assuming n is positive.\nAnswer: n**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*t - 15. Let m(i) = 2*i + 48. What is the least common multiple of t and m(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 4, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*o - 0*i + 5, 5*i = 25. Is 886\/o*9\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 5*x. Let j = -21 + 16. Let w be i(j). Factor w + 1\/3*k**2 + 1\/3*k.\nAnswer: k*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291427786.\nAnswer: 2, 13, 29, 59, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.1, 1, -7\/5, 4 in decreasing order.\nAnswer: 4, 1, 1\/5, -0.1, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 284\/9 or 3?\nAnswer: 284\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/19, 4\/301, 5, 3\/8, -1\/5?\nAnswer: 4\/301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -50521107057 and 0.1099.\nAnswer: -50521107056.8901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -7. Let m(a) = -a**2 + a + 25. Let l be m(-6). Put v, -0.2, l in increasing order.\nAnswer: l, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c\/(c*(c**(-2\/3)\/c)\/c*c*c))\/c)\/c*c)**(8\/5)\/(c**(-2\/11))**(4\/27) assuming c is positive.\nAnswer: c**(1624\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10361 + 10367. Calculate the highest common divisor of q and 489.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3379 = -4*c + 329, -y - 4*c = 947. Let b be y\/(-28) + 2\/(-8). Calculate the highest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhmheshhhmshsmmehhm. Give prob of picking 2 e, 1 s, and 1 h.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(-7*(-256)\/(-73472))\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9084.1 and 36.71.\nAnswer: -333477.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 30180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Let y = -3 - -2. Let b = y + h. Calculate the remainder when 4 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**5\/30 - y**4\/9 - y**3\/9 + 2*y**2\/3 + y. Factor a(f).\nAnswer: 2*(f - 2)*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188799*a = 188763*a - 2556 for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.62518 decades in years?\nAnswer: 36.2518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + q - 16 = 3*b, -4*q = 4*b + 32. Let a = b - -16. Is 12 a factor of a*(1 + 6\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-70)\/(4257\/(-231) - -17)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**9\/3024 - w**5\/40 - 2*w**3\/3 - 3*w. Let c(x) be the second derivative of j(x). Find the second derivative of c(a) wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 22. Let l be (-122)\/(-14) - 4\/(-14). What is the greatest common factor of f and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*g*o*q**2 + 9*g*o*q + 204051*g*o + 75*g*q**2 + 2*g*q + 12*o*q**2 - q**2 wrt q?\nAnswer: 130*g*o + 150*g + 24*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7056 and 1848?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 + 8593*a**2\/5 + 137247*a\/5 + 25731.\nAnswer: (a + 1)*(a + 15)*(a + 8577)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*y = 343, f + 3*y + 0*y - 176 = 0. Let x = -46 + f. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (72*s + 1238*s + 69*s)*(3 - 3 + 1) to l + r*s and give r.\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014375 rounded to 4 dps?\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-290)\/(-8) - (-189)\/(-50652)*335\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -34*t + 6. Let j(g) = -53*g + 10. Give -5*j(u) + 7*y(u).\nAnswer: 27*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 195989259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(1\/4)*k*k)\/k)\/k*k*k**21)\/(((k*k**3)\/k)\/k*k**17*k) assuming k is positive.\nAnswer: k**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65911246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4146 (base 7) to base 2.\nAnswer: 10110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*x + 2*x + 0*x + (6 + 3*x - 6)*(-5 + 5 + 2))*(-8*x**2 - 6*x**2 - 8*x**2) in the form j*x**2 + u*x**3 + v + y*x and give u.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 4 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -394 - -466. Calculate the remainder when 1367 is divided by s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54234 - -96261. What are the prime factors of y?\nAnswer: 3, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/182 and 47\/1157.\nAnswer: 16198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8929*w**3 - w**2 + 3*w - 3*w + 8925*w**3 + 5*w**2. Let k(r) = 4*r**3 - 4*r**2. Calculate -5*k(i) - 4*m(i).\nAnswer: -4*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 3\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.833746 and 3?\nAnswer: 3.833746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*r + 13 = -8, q + 33 = r. Let d = 27 + q. Which is the second smallest value? (a) 0.1 (b) 1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(363) - -6*-2*sqrt(363) - sqrt(363)*-1*-2)**2 + 3 + 4.\nAnswer: 61353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 2, 26481, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12*x - 44. Let a(h) = 6*h - 25. Let o(v) = 5*a(v) - 3*j(v). Determine o(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5664672\/3861312 + 2\/28.\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -79+-43\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57501, -115032, -172563, -230094, -287625, -345156?\nAnswer: -402687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -135130 divided by 27026?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3997 + 18*u - 3997.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 106\/10 - 6\/(-15). Suppose 3*j = 6*j. Suppose v - g - h = j, 3*g - 11 = -5*v + 28. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3910699 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231386, 231388, 231392, 231398, 231406, 231416, 231428?\nAnswer: 231442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -0.2, -3930, 3\/2, 0.\nAnswer: -3930, -0.4, -0.2, 0, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -b - 1, 3*h + h + 5*b = -16. Suppose -3*g + 33 = -3*i, 3*g + h = -5*i + 18. Suppose t = -0*t + 2. Solve g = -t*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164*f**5 + 185*f**2?\nAnswer: 9840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*b - 4 + 10 = 0, w - b = -3. Let o(y) = -112*y**2 - 49*y + 49. Let c(i) = -7*i**2 - 3*i + 3. Determine w*o(u) + 49*c(u).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101 - 101. What is the closest to v in 1\/5, 5, 35?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13798.548 minus -12401709?\nAnswer: 12415507.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.155 * -0.5\nAnswer: -0.0775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11.5, 49, 1080 in descending order.\nAnswer: 1080, 49, -3, -11.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 10393867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72356988 and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056343 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8744 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 3 + sqrt(17))*6*2 + -5 + ((sqrt(272)\/(sqrt(8) + sqrt(72)))\/(sqrt(180)\/sqrt(10)))**2.\nAnswer: 4481\/144 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/3 - 23*d**2\/3 - 30*d = 0.\nAnswer: -18, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131\/42 + 17\/6. Which is the third biggest value? (a) 2 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 11*n + 3*n + n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 4. Let o = -35 - -51. Suppose 2*k - 2 = b - 4*b, 3*b - o = 5*k. Calculate g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*l - 71*l - 55 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 9177 - 2606 - 6567.\nAnswer: -5*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109789843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.08. Let k = -3376 + 3375.9. What is the closest to 5\/4 in k, -2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*w + 22*w - 37*w)*(0 - 2 + 0)*(-2*w**4 + 2*w**3 - 2*w**3).\nAnswer: -144*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 251764009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, a: 4}. Give prob of picking 2 c.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/3)*b**(-10\/7)\/b)\/(b\/(b**(-2\/15)*b))**(1\/24))**(-40) assuming b is positive.\nAnswer: b**(2774\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*z - 107*z + z**2 - 3*z**2.\nAnswer: -z*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*z - 277*z = 48. Which is the fourth biggest value? (a) -0.4 (b) -0.07 (c) -23 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3456 and 1536.\nAnswer: 13824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:33 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 8*c**2 - 6*c + 31. Let h be y(-9). Solve -2*n + h*n = -6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 9*p + 4. Suppose 11*a + 47 = -52. Let v be x(a). Let y be (0 - -1) + 81\/3. Calculate the greatest common factor of y and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -4*t**2 + 0*t + 0*t**4 + 0*t**3 - 1\/60*t**5 + 6. Let k(m) be the second derivative of s(m). Let f(b) = -b. Give f(k(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1416 = n + 15*n + 1544 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 7*m**2 - 5*m + 34. Let r be t(7). Sort r, -5, 2, 1.\nAnswer: -5, r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*f + 2 - 7, -5*r + 59 = -f. What is the lowest common multiple of 4 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -16*l - 4*o + 4, 12 = 3*l - 4*o. Solve l = y, -4 - 8 = 2*f - 4*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 + -3.28. Let q = 4.2 + n. Which is smaller: q or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2425\nAnswer: -4\/2425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/((-3)\/(4 - -2)). Suppose 12*m - 8*m = -v. What is the tens digit of (m\/10 - 3619\/(-110))*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1, x: 1}. Give prob of sequence xt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**2 - 8. Let r(v) be the third derivative of 2*v**5\/15 + 53*v**2 - 3. Calculate b(r(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -20, -165 in decreasing order.\nAnswer: 10, -20, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -2, 19, 0.3, 0.4, 17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -2645?\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07 and -1245.79.\nAnswer: -1245.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7666 + 316*r**2 - 7666.\nAnswer: 316*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531347776, 1062695554, 1594043332, 2125391110, 2656738888, 3188086666?\nAnswer: 3719434444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.17 and -6.\nAnswer: 13.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2181 = 4*k + 2141. What is the highest common divisor of k and 2630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, r: 5, c: 2, v: 2, a: 1}. What is prob of sequence rrca?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111 a factor of 2738460322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*j + 16*j + 6235. Solve 0 = -221*k + j*k - 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**14)**7*b\/b**(-18)*b**(3\/10) assuming b is positive.\nAnswer: b**(1173\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8920, -17873, -26844, -35833, -44840?\nAnswer: -53865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 1859 + v**4 - v**2 - 1859 - v in the form z + a*v**3 + b*v**4 + o*v**2 + n*v and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45138*x**2 - x - 45138*x**2 + 131*x**3 to the form r*x + h + k*x**3 + b*x**2 and give k.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**3 + 3*l**3 + 5*l**3 + (-1 + 1 + 1)*(3*l + l**3 - 3*l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*n**3 - 10366*l + 63*n**4 - 16*n**2 with respect to n.\nAnswer: 3*l*n**2 + 252*n**3 - 32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 11*s**2 - 11*s - 2. Let m be (-147)\/15 + 4\/(-20). Let q be z(m). Suppose 0 = q*g - 5*g - 60. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 5:44 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4743481907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 7, -4, -2, 12, 3, -11 in descending order.\nAnswer: 12, 7, 3, -2, -4, -11, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, f: 3, n: 5, y: 7}. Give prob of sequence ffnf.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 486380 rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Let k = 10.5 - 10.1. Which is the smallest value? (a) k (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 1. Let o(j) = -3*j**3 - 7*j**2 - 3*j + 1. Let c(a) = 2*h(a) - o(a). Let x be c(-6). Let k = x + 0. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -1\/24*i**4 + 1\/60*i**5 + 1\/3*i**3 + 0 + 0*i - 8*i**2. Let g be y(-2). Solve q + 3*v = -g, 3*q - 3*v + 4 = -7*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2139 is divided by 2130.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013136 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*s = 3, 3*f - 3*s - 5 = 2*s. Let m(b) = -2*b - 25. Let p be m(-13). Solve -2*t - p + 5 = f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859232 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 418*y + 7. Let a be (-8)\/(-2) - (13 - (23 - 11)). List the prime factors of g(a).\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 283\/3 - 95. What is the nearest to -1 in 0.1, i, -0.05?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 2. Let y(v) = 16*v**2. Calculate y(d(h)).\nAnswer: 64*h**4 - 128*h**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235267543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43109726 to the power of 1\/2, to the nearest integer?\nAnswer: 6566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 1.31. What is the second smallest value in 3\/4, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**9\/168 + 23*n**5\/60 + 14*n**2. What is the third derivative of k(c) wrt c?\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -28418261.158145?\nAnswer: -28418260.758145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45.8 + 46.8. Which is the closest to i? (a) -3 (b) 17 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.99999l to millilitres.\nAnswer: 21999.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -95, -135, -159, -161, -135, -75?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31685.\nAnswer: 5, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 at most as big as 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18196158, -36392353, -54588538, -72784707, -90980854, -109176973, -127373058, -145569103?\n\"Answer: r**3 - r**2 - 18196199*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 70732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1. Let m(k) = -5*k + 2. Let f(i) = 2*m(i) - 4*o(i). Let a(n) = -23*n**2 - 19*n**2 + 41*n**2. Determine a(f(y)).\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahhwbhhbhhaaabaaa. What is prob of sequence whbb?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbnbbnbnbnxnba. What is prob of picking 2 b and 1 n?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 798301307 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2012332203 - 110122?\nAnswer: -2013102331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p - 70 = 0. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -150?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005569 rounded to 6 decimal places?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 143071 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -574 bigger than 791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/5, -68, 1\/5, -1, -2.38?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 0, -0.087?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -568, -303, 106, 683?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123551920*l**3 + l**2 - 528*l + 974.\nAnswer: -741311520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - l = 2*l - 13, 2*n - 14 = -4*l. Let t(q) = -12*q + 1. Does 9 divide t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 + 2*r - 7. Let d be v(-6). Let b = 228 - d. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = -6. Let a(u) = -u**3 - 4*u**2 + u + 5. Let w be a(n). Solve -j - w = 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36196987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 6, j: 4, p: 5}. What is prob of picking 1 p and 3 b?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (163 - 161)*(-9)\/45\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 21*l**3 + 17*l**2 + 33*l - 5. What are the prime factors of r(8)?\nAnswer: 3, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 11*u + 75. What is the hundreds digit of w(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dytry. Give prob of sequence tr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(171)*-1 + sqrt(171))\/((sqrt(9) - sqrt(36))*-5) + -4.\nAnswer: -8 + 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 2) + (-18)\/3. Let v = 30 - 15. Let o = p + v. Calculate the smallest common multiple of 15 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 658, 660, 664, 670?\n\"Answer: k**2 - k + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 42*c + 126. What is f(-8)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, d: 2}. Give prob of picking 1 d and 3 w.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/20 - g**4\/6 + g**3\/3 + g**2 + 2*g. Is a(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.4, 95\/34, 0.1?\nAnswer: 95\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(152) - (sqrt(152) - (1*sqrt(152) + sqrt(152) - sqrt(152)))))\/sqrt(8)*-3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+2058\nAnswer: 2057.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 13. Let t(b) = 0 + 3*b - 1 + x. Let s(h) = 3*h. Calculate s(t(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*d + 175*d**4 - 194*d**4 + 108*d**4 + 0*d**3 + 5*d**3 to the form u + j*d + g*d**3 + v*d**4 + p*d**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**3 - 4*q**2 + 2*q + 24. Let n(m) = -3*m**3 + 3*m**2 - m - 24. Let f(y) = -2*a(y) - 3*n(y). Does 8 divide f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5920 = 3350*w - 2980*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 570685558 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1286.2 + 1392.2. Which is smaller: -3\/10 or s?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 26766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/60 - v**4\/24 - v**3\/6 - 2*v**2 + 60. Let m(j) = -10*j**2 + 8*j + 3. Calculate -6*f(r) - m(r).\nAnswer: 4*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (242\/4)\/((-8)\/16). Let r be (-21)\/11 - (77\/g)\/(-7). Put -16, 4, 2, r in descending order.\nAnswer: 4, 2, r, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*a - 8, 0 = 2*m - 2*a - 12 + 8. Suppose 2*y = -2*y - 4*k + 8, 2*y - m*k - 12 = 0. Solve -b - y*b + 20 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -103\/6 in 14.3, -2\/15, 138?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a7 - 461?\nAnswer: -3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -83, -181, -349, -605, -967, -1453?\n\"Answer: -3*w**3 - 8*w**2 - w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11280630 and 30.\nAnswer: 11280630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z + 31. Suppose 139*a - 362 + 31 + 53 = 0. Let b(t) = -t + 8. Calculate a*c(j) - 9*b(j).\nAnswer: -j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*x - 3*x + 2*r, -2*r + 12 = 5*x. Solve 0 = -n - 0*n + 5*z - 13, 2*n = -5*z + x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -62. Let r = -30.3 + j. Which is the biggest value? (a) r (b) -1\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -263\/4*d**4 + 28*d**3 + 0*d + 0*d**2 - 74. Find the third derivative of o(h) wrt h.\nAnswer: -1578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -46. Let f = y - -32. Calculate the least common multiple of 12 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((84\/(-210))\/(4\/(-10))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**3 + 306*h**2 + 149*h + 421. Give o(77).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*u - 10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a3cf - -20e?\nAnswer: -1a1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 12*b**2 + b - 12. Calculate the remainder when u(-9) is divided by 69.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 - -90. Let y = q - -35. Sort -2\/7, -1, y.\nAnswer: y, -1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 27 = -5*a, 5*d - 23 = 5*a + 3*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/25 - 2134\/(-55). Solve 28*l + 55 = f*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = -3*f. Suppose s = -v, -f*s + 4*v = -6*s. Suppose 0 = 4*m - 4*a - 20, s*m + 3*a = 4*m - 18. Calculate the highest common divisor of m and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*k**2*x*z**4 + 3*k**2*x*z**2 + k**2 - 1444*k*z - 114*x*z**3 - 36*x*z**2 - 3570*z**4 wrt z.\nAnswer: 216*k**2*x*z - 684*x - 85680*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*f**2)*(3 - 2*f - 3) + 0*f**3 - 3*f**3 + f**3 - 2*f**3 - 2*f**3 + 3*f**3 + 2 + f**3 - 2 + (-2*f + f - f)*(5*f**2 - 15*f**2 - 11*f**2).\nAnswer: 44*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**0*b)\/b))**25*b**(-1\/2)\/(((b*b**(1\/4)\/b)\/b)\/b)*((b\/b**(-1))**(-8\/9))**(-1\/56) assuming b is positive.\nAnswer: b**(6623\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -23*h**3 - 8*h**2 - 17*h + 6. Let p(s) = 8*s**3 + 3*s**2 + 6*s - 2. Determine -6*d(g) - 17*p(g).\nAnswer: 2*g**3 - 3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -445 (base 6) to base 11.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 378 = 42. What is the units digit of i - 8*(-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 177 and 7.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -83febb (base 16) to base 4\nAnswer: -200333322323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 146521081 divided by 2\nAnswer: 146521081\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5 + 2968*w**4 + 254224*w**3 - 260168*w**2 - 254228*w + 257200 = 0.\nAnswer: -643, -100, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-32))\/(15309\/126846) + 2\/14\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*q = -3*q - 10, 0 = -5*r - 4*q + 25. Suppose 4*z = r*m + 3*z - 176, 5*m - 3*z = 178. Solve -2*i + 0*i - s + 11 = 0, -5*s + m = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + (-10 + 1 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 0. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -2142, 3, -5 in decreasing order.\nAnswer: 4, 3, 1, -5, -2142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 + 65*w**2 + 77*w + 284. Let u be y(-20). What is the highest common divisor of u and 1272?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 7*h - 4. Let k be n(-6). Suppose -2*v - k*v + 12 = 0. Let s(y) = -y - 2. Let i(a) = -a - 1. What is v*i(m) - 2*s(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -130, -183, -272, -397, -558, -755?\n\"Answer: -18*m**2 + m - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8434401 and 42555.\nAnswer: 42172005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byyxyyrxbbyxlx. Give prob of picking 1 r and 1 y.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 731 * -1.\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w. Let t be (-30)\/(-12) + -2 + (-409)\/(-2). Let f(i) = -423*i + 202*i + t*i. Determine a(f(j)).\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/442 and 95\/416.\nAnswer: 7072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(88) + sqrt(88)*-2) - sqrt(88))*-4)\/(-4*(sqrt(98) + 1*(sqrt(98)*2 + sqrt(98)))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -99*r**5 - 2928*r**4 - 31707*r**3 - 146394*r**2 - 220644*r + 122472 = 0. What is r?\nAnswer: -9, -6, 14\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/10)\/((-288)\/480).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2301720 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - w + 1. Let z(i) = i**4 + 15*i**3 + 33*i**2 + 9*i - 54. Let c(b) = -20*q(b) - 5*z(b). Factor c(u).\nAnswer: -5*(u - 1)*(u + 2)*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 3*m + 3. Let y(d) = -2*d**2 - 2*d + 2. Let q(k) = k**2 - 12*k - 18. Let n be q(14). What is n*y(g) - 6*t(g)?\nAnswer: -2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11176603*l**5 + 3*l**3 + 8*l**2 - 324392*l - 1 wrt l?\nAnswer: 670596180*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 2, q: 1, p: 1, f: 2, x: 2}. Give prob of picking 1 p and 1 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (7 - (32 + 2 + -22 + 21))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66146, 132293, 198440, 264587, 330734, 396881?\n\"Answer: 66147*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psssqmdsdshhsssshhss. What is prob of sequence dp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21273144 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 244421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 - -0.2. Let k = -0.04 - t. Let z = 3 - k. What is the second biggest value in z, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 22 = 3*i + 2*i, 2635 - 2655 = 4*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d + 4. Factor 4*w + w**d - 3*w**2 + 2*w**3 - 4*w.\nAnswer: 2*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449 a factor of 246118221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*d*y**2 + 272*d*y + 43710*d + 3*y**2 wrt y?\nAnswer: -12*d*y + 272*d + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -142?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140.83 - 139. Let g = i - 1.830146. Round g to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**2 - 1415*b + 1420 = 0?\nAnswer: -284, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19199 + -19245. Sort c, 0.5, -15 in decreasing order.\nAnswer: 0.5, -15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -211031223?\nAnswer: 211031201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 + ((-1)\/(-3))\/(14\/84) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -4. Suppose -23*n + 518 = -32004. Let y = n - 1406. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 74*o**3 - 2*o + 1. Does 11 divide a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1957825.1 to the nearest ten thousand.\nAnswer: 1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/(-11) + 57\/12. Which is the closest to 1? (a) -4\/3 (b) k (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-144)*9)\/((-26)\/(-884))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.6303 nanograms in micrograms?\nAnswer: 0.2656303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*n - 188, -328 = 5*r - 156*n + 153*n. Which is bigger: r or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 96?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -14*r. Let b(u) = 14*u**2 + 57*u - 57*u - 2*u**2. Give f(b(s)).\nAnswer: -168*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23, 1\/4, -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 2 (c) -0.6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(288)*-2 - sqrt(288)))\/((1*sqrt(36))\/sqrt(4)) + 1.\nAnswer: 1 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36327)\/(-5)*(-9)\/6. Let q = k - -10886. Find the common denominator of q and 53\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6219166198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*k**3 + 1\/7*k**2 + 6\/7*k + 1\/7*k**4.\nAnswer: k*(k - 3)*(k - 2)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/16 + 179\/48. Let j = -10\/3 + h. Determine a, given that -1\/3*a + 1\/3*a**3 + 0 - 1\/3*a**4 + j*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 + 0 + 2*d**2 + 2 - 2*d - 3 to q*d + o*d**2 + a and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(0 + 2 - 1)*(-20*r**3 - 54*r**3 - 14*r**3).\nAnswer: -176*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**6 - 27*y**5 - 142*y**4 - 3*y**2 - 11*y + 160?\nAnswer: -360*y**3 - 1620*y**2 - 3408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5480*c + 5421*c - 10869*c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - x - 40, 26*c + 32 = 23*c + x. What is the common denominator of ((-18)\/(-8))\/((-33)\/(-62)) and (-35)\/(-40)*20\/c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 + 2 + 4 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {u: 6, l: 4, v: 3, w: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -58. What is the nearest to 0 in -2\/7, c, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b - 1. Suppose 0 = 3*f - 3*k + 3, -5*k + 15 = -5. Suppose -g = -4*g - f. Let a be s(g). Solve 3*o + 0*o = -z - 11, 0 = -a*z - 5*o - 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.92882kg in nanograms?\nAnswer: 69928820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142108 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 326228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffdcd. What is prob of sequence ffd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/17)*(w\/((w\/(w*w\/(w\/(w\/w**(-6))*w)))\/w*w))\/w)**(-1\/45)\/(w**(-3\/4)*w\/(w**(1\/5)*w)*w*(w**(1\/3))**(-3\/11)) assuming w is positive.\nAnswer: w**(-3023\/33660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) -1 (b) 2\/5 (c) 2\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - 138\/(-2760). Which is the second biggest value? (a) 0.1 (b) -34 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9689754 and -0.05.\nAnswer: 484487.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 5, a: 9, q: 2}. What is prob of sequence ea?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/491744 and -133\/1475232.\nAnswer: 1475232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3 = -0*k, c + 5 = -5*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggcgcgvvcvvvcg. Give prob of sequence cc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(5\/(-50)). Let w(n) = -24*n - 8. Let u be w(o). Let l = 18 - u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30032483?\nAnswer: 13, 19, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w = 43*w + 60 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/11715 and -49\/8520?\nAnswer: 93720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 3*f. Suppose -f*s + s = -3. Solve 12 = y + s*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Suppose -3*w = 10 - s. Let y = -2 - w. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 86403 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59755590?\nAnswer: 2, 3, 5, 221317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 + 272. List the prime factors of c.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34066 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5 = -6*g. Let c be -8 + 30 - (2 - g). Calculate the greatest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 5*q - 5*q + (3 - 3 - 1)*(-49 - 113 + 162 - 1423*q) to x + j*q and give j.\nAnswer: 1413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k - 345. Let y be z(59). Calculate the highest common factor of y and 748.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43379 + -111679. Round j to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*y - 2*y**2 + 5*y**2 - 12*y)*(y**3 + 0*y**3 + 0*y**3).\nAnswer: 3*y**5 + 23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1539*n = -2211*n - 88*n + 360772 for n.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019394353 to 4 dps.\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26, -49, -58, -47, -10, 59, 166, 317?\n\"Answer: h**3 + h**2 - 33*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 9:08 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m + 209 - 57. Let i = m + 21. Let h(n) = -2*n + 2. Calculate h(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29 - -14.29. Let l = 28 - g. Let d = -13.9993 + l. What is d rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19830, 38752, 57674, 76596, 95518?\n\"Answer: 18922*w + 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 672? (a) -1\/55 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 35*f - 190. Let j be s(-28). Suppose d = 2*p, -5*p - d + 1 = -j*p. Solve -3*b = 3*m, 4*m + 5 = -b - p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 22*f**2 - 46*f**2 - 5*f + 24*f**2 - f**3 - 19*f - 19*f**4 as q*f + d + p*f**2 + v*f**4 + l*f**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38 - 35 - (1 + -1). Solve 4 = -a*g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 12, 0.3, -2, -27\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 7 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 39 = m, 4*w - 2*m - 52 = -3*m. What are the prime factors of (0 - 174\/(-4)) + w\/26?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - (-26 - -37).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 15978365368347.\nAnswer: 15978365368346.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 13*t + 76. Let w be s(4). Suppose 9 = -3*x, 3*n = -11*x + w*x + 3648. What are the prime factors of n?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**8\/16 + 11*v**5\/20 + 6*v**2. What is the third derivative of k(j) wrt j?\nAnswer: -1260*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 10\/(-4))*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-6)\/(-12))*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/22 + 40\/22. Let v be m\/14 + (-8)\/(-42). Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 1. Let d(f) = -f**2 + 21. Determine d(z) - 3*p(z).\nAnswer: 2*z**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 290, 1110\/61 in descending order.\nAnswer: 290, 1110\/61, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 (base 10) in base 13?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p**4*x**3 + 15546*p**4*x**2 - 1699*p**2*x**3 - 20*x**3 wrt p?\nAnswer: -144*p*x**3 + 373104*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0196 - -0.9804. What is the closest to j in 0.4, -5\/3, -0.2, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18411854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 3*y + 3, -2*y - 5 = -3*l - 3*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392945 is divided by 509?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**4 + a + 1. Let h(w) = -11*w**4 + 13*w**2 + 6*w + 6. Let y(r) = -h(r) + 6*p(r). What is the third derivative of y(v) wrt v?\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/644004 and -77\/4824?\nAnswer: 1288008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 11:58 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 6*s - 3. Suppose 10 = -2*n + 5*w, 5*n - 1 + 26 = -2*w. What is z(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m**2 + 0*m + 12\/5*m**5 + 22 - 7*m**4 + 8\/3*m**3. Solve t(b) = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-6))\/5*2496\/320*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 2, 2\/11, 3\/16 in ascending order.\nAnswer: -5, -0.4, 2\/11, 3\/16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -165*a**2 - 16*a + 11. Let q be (4\/3*(-159)\/530)\/(1\/5). Let b(t) = -33*t**2 - 3*t + 2. What is q*l(f) + 11*b(f)?\nAnswer: -33*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -t. Suppose 6*q = 2*q + 8. Find the second derivative of -t*k + 2*k - 5*k + 0*k - 4*k**q wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -406, -815, -1450, -2371, -3638, -5311?\nAnswer: -7450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u**2 + 11*u - 9. Let q(h) = -23*h**2 - 31*h + 26. Calculate -17*g(c) - 6*q(c).\nAnswer: 2*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2272 - 2269. Let b = 2 + -4. Sort 10, b, z in ascending order.\nAnswer: b, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, c: 4}. What is prob of picking 2 x?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 4. Let k(d) = -2*d**2 - 5. Let o(y) = 4*k(y) - 5*x(y). Let s(a) = -6*a**2. Determine o(s(t)).\nAnswer: -108*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*s**2 - 3 + 26*s - 26*s with respect to s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 + -9?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77))\/sqrt(11)*-2)**2*-5 + 4 + 1*sqrt(140)\/sqrt(5).\nAnswer: -136 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 (base 6) in base 12?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2310 - 10838 = 164*o for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -24*c + 14. Let d = 336 + -339. Let l(j) = -5*j + 3. Give d*r(x) + 14*l(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-11)\/(-4))\/(21\/(-98)). Which is smaller: z or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3786331\/145 and -26113 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (24 - 8) - 44.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 550 = -3278. Suppose 5*n - 2*o - 76 = 0, -12 = 5*n - o - 85. Does 7 divide i\/(-21) - 8\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 10*l + 25. Let f(d) = -4*d**2 + 8*d + 20. Let s(g) = -4*c(g) + 5*f(g). Let a(k) = k**2 - 9*k. Calculate a(s(y)).\nAnswer: 64*y**4 + 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 4*m. Solve m = -v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*h = 29819, -h = -n + 4317 + 5632. What is the highest common factor of n and 442?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -51*f - 36*f + 88*f + 12. Determine w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*c - 20 = 0, 19*l + c + 13 = 23*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/3 - 274*o**2\/3 + 12190*o\/3 - 174158\/3 = 0. Calculate o.\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 0*w**2 + 8\/3*w**3 - 9 - w. Calculate z(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7399.7497695 from 0.201.\nAnswer: -7399.5487695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33271.42 centimeters?\nAnswer: 332714200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -162\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (665 - 645 - (-14 - -1)) + 12?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - -1*sqrt(700))*-2)\/(-6*sqrt(36)*1).\nAnswer: 10*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106752\/(-133440)*1\/148?\nAnswer: -1\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -v + 3*b - 8, v + 4*b = 12. Suppose -4*q + 71 - 23 = v. Suppose -4*l = -4*k - q, l - 3*k + 8*k = -9. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90933533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345235*h - 53 - 251 + 345233*h.\nAnswer: -2*h - 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 + 1 + -6 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7 - 4 - 3*r + 1. Let d be k(-8). Let a be 18*(d\/6 - 1). What is the greatest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*x**3 + 17*x**4 + 51*x**3 + (-x + x - x**4)*(-1 + 2 + 1) + (-3*x**3 - x**3 + 3*x**3)*(0*x - 4*x - 2*x).\nAnswer: 21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69658 greater than 69658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 539*h**2. Let o(z) = -54*z**2 + 53*z**2 - 3*z**2. Give o(t(l)).\nAnswer: -1162084*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 30462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:28 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 3, -17, -69, -165, -317?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -96935d?\nAnswer: 96935c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4801 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*t + 1 = -0, -4*j - 3*t = 17. Let c be 6 + (1 + 0)*j. Suppose -c*f + 7*f - 141 = -3*u, 5*u + 143 = 4*f. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 4*r + 417. Let k be z(0). Let o = k + -405. Solve 7*c - o = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 465 and 3906?\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144195?\nAnswer: 3, 5, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-10)*(-8)\/3. Suppose s*g - 5 = 3*g. Sort g, 0, -3 in descending order.\nAnswer: g, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 348854639 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 12. Let v be (x\/(-15))\/(74\/(-12)). Is 0 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -511.1 + 491. What is l rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -1\/4, -10 in ascending order.\nAnswer: -10, -1, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15408 and 0.25?\nAnswer: 15407.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1011111000111001001 (base 2) to base 16\nAnswer: -5f1c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*c + 21*c + 9*c**4)*(-c + 3*c + 0*c).\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28050518737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 32906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1067.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3913594.9 times 0.3\nAnswer: -1174078.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 46 + 56 - 2 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 16 = -2*r, -3*d + 20 = 5*r - r. Let x(f) be the second derivative of 3*f + 1\/3*f**3 + 0*f**2 + 3\/10*f**5 - 1\/2*f**d + 0 - 1\/15*f**6. Factor x(y).\nAnswer: -2*y*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u - 1 - 11*u + 37*u - 7*u - 22*u. Let m be 2\/1 - (-11)\/(-11). What is j(m)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 - 14*a - 5. Let d be (-6)\/9*(-21)\/(-2). Let h be ((-2)\/(-2))\/(-3 + (-22)\/d). Let y be w(h). Sort 3, y, -0.3, -2\/17.\nAnswer: y, -0.3, -2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*x + 2, -x + 8 = 2*y + 2. Suppose -3*g - 2*z = x*g - 4, -g - 3*z = 7. Suppose g*w - w - 2100000 = 0. Round w to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 8*s - 14. Let u(h) = -1. Let a(b) = 4*u(b) - y(b). Let k be a(-7). Suppose -3*g + k = 2*d, 0 = 3*g - d + 5*d - 9. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 296.729, -0.1, -5 in descending order.\nAnswer: 296.729, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13582 + -12886. Which is bigger: 694 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/10 + (-24)\/(-15). Suppose 5*r = -10, -5*u = q*r - 3*r - 27. Calculate the lowest common multiple of u and 38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k**2\/8 + 1037247*k + 829797\/2 = 0.\nAnswer: -553198, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + m**2 + m - 1. Let p(l) = 7*l**3 + l**2 + l - 8. Let o be 2\/8 + 70\/(-56). Let y(t) = o*x(t) + p(t). Differentiate y(s) with respect to s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -11 + -39 - -34.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -142 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045258 to five dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.3 (c) 2\/11 (d) -12\/5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-8)\/28*37\/(407\/(-462)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6547932 tonnes?\nAnswer: 654793.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3823429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281*-0.152.\nAnswer: -42.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2105850332 + 271\nAnswer: 270.7894149668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32382 divided by 61.\nAnswer: -32382\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 2192*b - 2183*b - 24 - b**2 in the form y + v*b + h*b**2 and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10679.93 - -10680. Which is smaller: -373 or j?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.5 + -16. Sort 1\/5, 0.1, j in increasing order.\nAnswer: 0.1, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*c**2*j*v**2 - 5*c**2*j*v + c**2*j + c**2 + 5*c*j*v - 2*c*j - 2*j*v**2 + 7*j*v + 4*j wrt c.\nAnswer: 112*j*v**2 - 10*j*v + 2*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(171) + 0) - -1*(0 + sqrt(171))**2) + -3*-3*(sqrt(171) - sqrt(171)*1).\nAnswer: -15*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 909962 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (150\/(6\/2))\/(-1). Let o = 98 + v. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10044*z + 6485 wrt z?\nAnswer: -10044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*(-9 - -8))\/((-1)\/5). Suppose 20 + w = 5*p. Solve p*m = -4*k + 16, 4*m = 2*k + 3*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5451, -5444, -5435, -5424?\n\"Answer: c**2 + 4*c - 5456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 16, 1\/4, -23, 3.5, 4, -2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(352)\/sqrt(200))\/(5*1*sqrt(4)) + 2).\nAnswer: 4*sqrt(11)\/25 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000938894581 to seven decimal places.\nAnswer: -0.0000939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 2*a + 2. Let s(m) = 13272*m**2 + 790*m - 790. What is 395*b(p) + s(p)?\nAnswer: 12482*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - 61493*s - 106 + s**2 + 61512*s)*(-1 - 2 + 5).\nAnswer: -6*s**2 + 38*s - 212","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*f**4*u + 3*f**4 - 1098*f*u wrt f.\nAnswer: -240*f**2*u + 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -4*g + 5*o + 15, -o + 138 = 4*g. What is the greatest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1027 - -2705d?\nAnswer: 26036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12450, 24844, 37240, 49638, 62038, 74440, 86844?\nAnswer: 99250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1758906 divided by -3.\nAnswer: -586302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 11. Let l(j) = j - 6. Suppose -28 = 21*m - 35*m. Suppose t + 4*i = 10, 3*t + 13*i - m = 8*i. What is t*a(k) - 11*l(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*b + 12, -9*b + 13*b + 5*x + 14 = 0. Suppose 12*m = 6*m + 12. Sort b, 139, m, 5.\nAnswer: m, b, 5, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32888 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -483 - -275. Let u = p + 348. Suppose -3*n + 1 + 328 = 5*s, -u = -2*s - 4*n. Calculate the remainder when s is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**4\/4 + 5*d**3\/3 - 5*d**2\/2 + 6*d + 10. Let t be f(4). Suppose 2*k - k + 5 = -s, k = -t*s - 9. Is s greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 33 = -4*b, -4*p + 7*p - 7 = 4*b. Solve -4*s - c = -2*s + 15, 10 = -4*s + b*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 326*u**3 - 10*u**2 + 2*u + 21. Let t(j) = -163*j**3 + 6*j**2 - 2*j - 10. Let p(x) = 5*t(x) + 3*v(x). Find the second derivative of p(h) wrt h.\nAnswer: 978*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -18*d. Let j(h) be the second derivative of 5*h**4\/12 - 45*h**2\/2 - 4826*h. Calculate j(v(c)).\nAnswer: 1620*c**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 - 662 = 6*k. Let l(i) = i**3 + i**2. Let g(y) = -8. Let f(h) = -g(h) - 5*l(h). Is f(k) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.454734cm to kilometers.\nAnswer: 0.00009454734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3227949316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/160 and 61\/80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**2 + 22*p. What is v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87352*b**2 - 87352*b**2 - 10*b + 18*b**3 to the form p*b**2 + x*b + o + f*b**3 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188 and 1645.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 2. Let k be (-1 + 5)\/8*p. Let u be 13\/6 - k\/(-18). Solve 4*r + 4*g - 2 = 2, u = -4*r + 2*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -97633.\nAnswer: -2\/97633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12.3*-12\nAnswer: -147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 53\/4 of a microgram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k + 6. Let u(v) = -266*v**2. Calculate u(h(s)).\nAnswer: -44954*s**2 - 41496*s - 9576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 54 - 46 = 0, -2*q - 1920 = -4*r. What is the greatest common divisor of 39 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 1 + 1. Suppose h*m + 141 = m. Calculate the remainder when m is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8. Let d = 13 + -11. Sort 9, d, z in decreasing order.\nAnswer: 9, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (250\/20)\/((-45)\/(-1404)). What is the highest common factor of 286 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + -5 + 5 - (-26)\/(115960\/(-22260))\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + 10 + (9 - 25)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 9*z**2 - 8*z + 6. Let l be c(-10). Let b be (-4)\/l - 24\/(-14). Suppose -b*h + 30 = h. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2*o + 6 = 0, 3*h - 20 + 35 = -5*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13)\/2)\/((-38)\/228). Calculate the least common multiple of ((-4)\/6 - q\/9) + 41 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9 + -52317)\/(-9) + -5.\nAnswer: 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -18, 0.4.\nAnswer: -18, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3939*r**3 - 608*r**2 - 4*r - 24. Let m(g) = -7877*g**3 - 1216*g**2 - 9*g - 52. Let s(t) = 6*m(t) - 13*u(t). Find the third derivative of s(d) wrt d.\nAnswer: 23670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 62. Let r = 18 + -5. What is the greatest common factor of r and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 27 = 2*y - h, -4*y = -4*h + 12. Is 1*-6*164\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*h - 2*h - 16*h to the form d*h + m and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124\/1251 or 1?\nAnswer: -124\/1251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3428, 6855, 10282, 13709?\nAnswer: 17136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9201290 by 4600645.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 157*a - 157*a + 791*a**2 + (84 - 5*a - 84)*(2*a + a - 5*a).\nAnswer: 801*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 2\/7, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) -9\/4 (c) -445 (d) -0.07 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 976860350 rounded to the nearest one hundred thousand?\nAnswer: 976900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*n + 4*f - 9*f, 2*f = -2*n + 44. Let z = n - 13. Let k(o) = -13*o - 2. Let g be k(-2). Solve 3*c = 2*r - c - g, -z*r - c + 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + 4. Let f be m(5). Let v = f + -14. Let q = -41240 - -41259. What is the least common multiple of q and v?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -3. Let r(q) be the first derivative of -q**2 + 3*q - 2. Does 8 divide r(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 5*k + 260 = 5*v, -k - 260 = -5*v. Suppose c = 5*i - 56 - 74, 2*i + 4*c = v. What is the remainder when 438 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/(-6 - -13 - 8)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**6 - 21*m**4 - 85*m**3*q + 2*m**2*q + 211759 wrt m.\nAnswer: -360*m**3 - 504*m - 510*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680063115?\nAnswer: 5, 139, 2417357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-18)*-2*(-15030)\/835)\/((-2)\/1).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)\/((k\/(k**2\/k))\/k))**(5\/3)*((k*k\/(k**(2\/17)*k)*k)**(2\/5))**39 assuming k is positive.\nAnswer: k**(4088\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 less than -88497?\nAnswer: -88421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 334142261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -369, -2134, -5087, -9222, -14533, -21014, -28659, -37462?\n\"Answer: l**3 - 600*l**2 + 28*l + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -26 - (-1 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970296 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -68564, -5, -3, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (330\/(-36) + -7)*-6. Let t(f) = -2 + h*f**3 - 196*f**3 + 9*f**2 + 100*f**3. Calculate t(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or -0.075?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -1 (c) 5 (d) 38\/5 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 10 - 4*g**4 + 20*g**3 + 1 - 5 to the form z*g + d*g**2 + s + a*g**4 + h*g**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 522 and 10.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + 4.04. Let a = -19\/117 + 2\/39. What is the third smallest value in a, 2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-42)*-6)\/(15*4\/(-63))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -18*s**3 - 53*s**2 + 26*s. Let i(z) = -6*z**3 - 17*z**2 + 9*z. Let a(n) = 8*i(n) - 3*w(n). Let f(r) = r**3 + 4*r**2 - r. Calculate 6*a(u) - 34*f(u).\nAnswer: 2*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 + 0.13. Let t be 5 - (4\/3 - -4). What is the closest to z in 10, -0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248254.\nAnswer: 2, 19, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223 + -23323233?\nAnswer: -23324011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290227 divided by 14.\nAnswer: -41461\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 957828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 9:10 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3\/5, -1781662?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5671*a = 2853*a + 2858*a + 2200 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and (3 - 3) + 4 + -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 40112.4 decades?\nAnswer: 4813488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h**3 - 9*h**2 - 9. Let r(a) = -a**2 - 7*a - 4. Let w be r(-6). Let f(u) = 3*u**3 + 2 - 6*u**3 + 2*u**w + 0*u**2. Give -9*f(s) - 2*v(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c**4 - 16*c**4 + 11453*c - 1 - 11448*c + 4 - 2*c**2 as q*c**2 + y*c**4 + k*c**3 + z + i*c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -87554700 to the nearest one hundred thousand.\nAnswer: -87600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166 - -168. Suppose 4*n - 494 = -j*c + 188, 0 = 4*c + 3*n - 1369. Calculate the remainder when c is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -491 divided by -124303.\nAnswer: 491\/124303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 1, -4, -16, 2, -66 in decreasing order.\nAnswer: 89, 2, 1, -4, -16, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131284 or -131289?\nAnswer: -131289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 182*s + 14. Let v(m) = -12*m. What is v(g(t))?\nAnswer: -2184*t - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 - 2*h**2 + 1 + h**3 - h - h**2. Suppose c + 12 = -2*c. Let s be d(c). Solve -s*g - 8 - 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 147, -639, -2071, -4191, -7041?\nAnswer: -10663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5093726*h**2 + 2546867*h**2 + 2546857*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 2. Let j be -6*(-3 + 15\/z). Suppose 8*d = j*d + 70. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131612.7um in kilometers?\nAnswer: 0.0001316127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/5, -2, -1\/25 in increasing order.\nAnswer: -5, -2, -1\/25, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13*-159.03\nAnswer: 2067.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/7 - 362*h\/7 - 4056\/7 = 0.\nAnswer: -169, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0*s + 2 - 2*s)*(13*s + 11*s + 5*s).\nAnswer: -58*s**2 - 58*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.106 (b) -2 (c) -6\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*i*n + 27*f*i - 2*f*n**2 - 26*f*n + i*n**2 + i*n + 8*n**2 wrt n.\nAnswer: -4*f + 2*i + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/2 in 5\/3, -2\/45, 7, -0.5, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:41 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 3, 0.0169.\nAnswer: 0.0169, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9\/(q*q\/q**(-4)*q))\/(q**12*q\/(q*q**(-5\/3)*q)) assuming q is positive.\nAnswer: q**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 99 - c**3 - 87 + 0*c**3 + (1 - c**3 - 1)*(1 - 1 + 1) - 144*c**3 - 54*c**3 + 34*c**3.\nAnswer: -166*c**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 203?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u + 1\/4*u**4 + 0 + 8\/15*u**3 + 1\/25*u**5 - 1\/300*u**6 - 11*u**2. Determine t, given that r(t) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.3. Let r(t) = 34*t**2 - 35*t + 5. Let h be r(1). Which is the second smallest value? (a) h (b) q (c) -5\/6 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -70. Let p(h) = h**2 + 9*h + 3. Let k be p(-4). Let u = 8 + k. Is u at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w + 6. Suppose 2*i = 8 + w. Suppose i*q = 121 + 59. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a factor of 221042443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 5. Suppose 0 = -3*p + 12 - 126. Let y = p - -46. Do y and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120 - -12?\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + 0*w**2 - w**2 + (-w**2 + 0 + 0)*(1 + 0 + 0) - 1 + 1 - 2*w**2 - 2 + 2*w**2 + 2 - w**2 + 4*w**2 - w**2 + 109*w**2 - 315*w**2 - 112*w**2.\nAnswer: -319*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2340 - 585 + 8*g**2 - 8*g - 581 - 587 - 587.\nAnswer: 8*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 12 = -3*a, 2*o + 3*o = -a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 81 = -c, -79*c + 83*c - 5*h = 249. Calculate the remainder when 75 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663637655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:54 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -564 - -885. Let g = 5 + x. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(sqrt(13) + 4) + -5 + -6*(sqrt(390)\/(sqrt(40) - sqrt(10)))\/sqrt(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13441 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + o. Let p(k) = 11*k**2 + k. Let m(g) = 13*b(g) - 6*p(g). Factor m(u).\nAnswer: -u*(u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10086846 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 divided by 3?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let d = 233 + -167. Let i(v) = 29 - d + 37 - 16*v. Determine j(i(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 24, 31, 40, 51?\n\"Answer: t**2 + 2*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*b + 4*b - 400660 + 400786 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -445683 or -445135?\nAnswer: -445683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, -1327, 0.3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = j - 301, -304 = -4*l - 0*l - 4*j. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/48*(-40)\/60.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -477898*p**3*s**3 + 14247*p**2*s**3 + p**2*s + 14*p*s wrt p.\nAnswer: -2867388*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-600)\/(-2))\/((-28)\/(-238)). Round u to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) 13\/9 (b) -3 (c) -1059.7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*p - 30*p = 405 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 24*d - 108 = 0. Suppose -3*h = n - 7, n = -0 + 4. Let t be (h\/(-4))\/(15\/40). Which is the smallest value? (a) 3 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 11*k + 15. Let z be c(-11). Suppose 3*j - z + 0 = 0. Solve -j*g - 22 = 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34608 and 11648.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x. Let c(l) = -4*l. Let b(d) = -11*c(d) + 6*s(d). Let v be b(-4). Let r(g) = g**3 + 7*g**2 - 9*g - 1. Is r(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -352 (b) -1099061 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxcgkcc. What is prob of sequence kgx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4901)\/(-455) + (-7)\/35 - 11.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.423 - -0.4522. Let f = x + -1.0292. What is the third smallest value in -2\/7, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*t + 79. Suppose -3*s = 4*y - 90 - 7, t = y + 3*s. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = -t + 4*n, 3*t + 2*n + 69 = 0. Let d = t + 34. What is the remainder when 51 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.057 + 0.057. Let x = d - -29. Let p be 6\/(-45) - (-456)\/2070. Which is the biggest value? (a) x (b) p (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 268, 266?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*y + 128*y - 5600 = 249*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*r - 4*u, 3*r - 6*u = -7*u + 12. Solve 4*g + 16 = 4*a, -r*g + 2*a - 17 = -2*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 2*t**2 - 3*t - 3. Let w be h(3). Let q be -1 + 3 - (-5 + (-2)\/(-1)). Suppose q*a = 11 + w. Solve -4*i + a*i = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 8520.\nAnswer: 25560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1193446 <= -1193435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 - 0.07. Let l = 3.1 + -3. Let i = l - d. What is i rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10098*n**4 - 1254*n - 1268*n + 2522*n)*(-1 + 0 + 0 - 2*n).\nAnswer: -20196*n**5 - 10098*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5766043 a multiple of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569725.8 kilograms to milligrams.\nAnswer: 569725800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.173, -2\/29, 0.2, -34\/3, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 5)*5 - (sqrt(117)\/sqrt(48))\/sqrt(3))**2.\nAnswer: 4475*sqrt(13)\/2 + 426533\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1265171 and 254237?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 28*r - 19. Let s(y) = -3*y**2 - 27*y - 18. Let o(b) = 5*i(b) - 4*s(b). Let p be o(16). Is p > -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/(-189)*2\/5)\/((-136)\/(-476)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*t - 3 - 69*t**3 - 31*t + 67*t**3)*(-t**2 - 4*t + 4*t).\nAnswer: 2*t**5 + 20*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4668)\/(-5835))\/(1\/(5\/4)))\/(3\/198).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {b: 4, h: 5, k: 3}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -244 != -310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -663252, -1326477, -1989700, -2652921, -3316140?\n\"Answer: d**2 - 663228*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 63*b**2 + 385*b + 26. Calculate d(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*p = -13, -5*u - p - 5 = -21. Suppose -4*f + 5*j = f - 5, 4*j = 3*f - u. What is the remainder when ((-70)\/(-21))\/(5\/6) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/36 + 8 + (-10)\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 (base 16) in base 2?\nAnswer: 110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -48*o + 1. Let y(h) = h - 6. Let q be y(5). Let t be g(q). Let d = t + -13. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2688 - -18cc?\nAnswer: 4176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -182 or -29847\/163?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.285 rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*l + 1. Suppose -2*b + 0*b + 23 = -5*x, 62 = 3*b - 2*x. What is the highest common divisor of l and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4173074.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 2 - 2)*(-1 + 1 + 3)*(0 + 6 + 6)*(-8 + 11 - 11)*((4*n - n - 4*n)*(n - n + 2*n) + n**2 - 5 + 5).\nAnswer: 1152*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45914908 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -18 + 5 - 23*z**2 - 3 - z**3 + 49*z + 3 - 12 = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7563872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 306138871*i**2 - 275678440*i.\nAnswer: 612277742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047 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: Four letters picked without replacement from mrrmcriirimimrrcrm. What is prob of picking 1 r and 3 i?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2878244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1519\/6 - 16745\/66. Let x = 102 - 506\/5. Which is the second smallest value? (a) 1 (b) 3 (c) x (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/4 - 5*y**3\/6 + 3*y**2\/2 + 18*y. Let f(c) = -7*c**2 + 10*c - 5. Let m(x) = 2*f(x) + 5*w(x). Give m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*y - 6970 = 23181, 6 = -2*y. Is m\/(-8)*(11 + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49034*k**3 - 18*k - 2011 wrt k?\nAnswer: 294204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.5 in 18, 5, -57.8, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20145 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (21 - (-18 - 24)) + -34?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lblmmlbslslblllbblls. What is prob of sequence mbs?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*x**2 + 5*i**3*x + i**3 - 3*i*x**4 - 6*i - 24*x**4 wrt x.\nAnswer: 2*i**3 - 36*i*x**2 - 288*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/21 - 382504*v\/21 = 0. What is v?\nAnswer: 0, 191252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 87.336*-11905\nAnswer: -1039735.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37846649 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126610.9 - 126611. Let j = 5 + -4. Suppose j + 1 = -3*m - d, -5*d + 6 = -m. What is the closest to t in m, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740018 a multiple of 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -79007*w**2. Let s(u) = -3*u**2. What is s(q(i))?\nAnswer: -18726318147*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 12*h - 17. Give u(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/2, 1\/15, -0.2, -402, -4 in decreasing order.\nAnswer: 3, 1\/15, -0.2, -3\/2, -4, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/7 (b) 130 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:02 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4285)\/(-2571)*(-12)\/(-1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 8*z - 9. Let y = 6 - 6. Suppose -m + 2*b + 25 = -0*m, y = -3*m + b + 50. Let k be ((-20)\/(-25))\/((-2)\/m). Calculate t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 183\nAnswer: -22\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4*k + 9*i**4 - 73*i**2*k + 6*i*k + 2*i - k - 6 wrt i.\nAnswer: 12*i**2*k + 108*i**2 - 146*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -300157*s + 300152*s + 4*o, s = 5*o + 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4677422, -9354857, -14032306, -18709775, -23387270?\nAnswer: -28064797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - ((-2 + sqrt(288))**2 + -4)) + 4)*5.\nAnswer: -1420 + 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 621*d*s**2 + 1369*d*s + 19686*s**2 + 6902 wrt s.\nAnswer: 1242*d + 39372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -44311376, 0, -4 in increasing order.\nAnswer: -44311376, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from {j: 2, k: 1, l: 1, q: 4, s: 1, v: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -k - 10, 2*k + 2*d + 15 = 7*d. Suppose 3 = -z, 2*f - 3*z = -k*z + 4. Find n, given that 8\/7*n**4 + 10\/7*n**3 + 0 + 2\/7*n**f + 4\/7*n**2 + 0*n = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7074716 is divided by 7074706?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -46 (b) 2\/7 (c) -1\/13 (d) -3\/7 (e) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -198, -627, -1446, -2781, -4758, -7503, -11142?\nAnswer: -15801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let t(k) = k**2 + 16993*k. Give n(t(r)).\nAnswer: -2*r**2 - 33986*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c\/(c\/((c\/(c*c*c**(-12)))\/c)))*c))\/c)\/c**(2\/7)*(c**(-8)*c)**(11\/3) assuming c is positive.\nAnswer: c**(-398\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((1780\/(-242970))\/(2\/(-21)))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12 + 44 - 36) + -5\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2429*r**3 + 12*r**2 - 6*r - 1. Let b be c(12). Suppose -32701033 = -3*d + b. What is d rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33\/7 or 4?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(8) - ((sqrt(2) - (-3 + sqrt(2))) + -2).\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -20*g. Let q(r) = -4*r. Let l(x) = -16*q(x) + 3*y(x). Let i(b) = 13130 - 13130 + 2*b. What is i(l(v))?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 32, 5, 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 99*f - 91*f. Differentiate -18 - 11 - m**2 + 10*m - f + 24 with respect to m.\nAnswer: -2*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.5 (b) -1\/5 (c) 2\/21 (d) -5\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 75, 113, 173, 261, 383, 545?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, c: 2, e: 1, n: 3}. Give prob of picking 1 e and 2 n.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/822146885 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 2*v - 10. Let b be w(-7). Let u be ((-576)\/b)\/(2\/5). Let l = u + -11. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26035 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -38, -4 in decreasing order.\nAnswer: -4, -20, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l - 2*l + 7)*(0*l + 0*l - 2*l).\nAnswer: 4*l**2 - 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**2*x\/x**(-1\/5))**5*x*x**1*(x\/(x\/(x\/(x**(-1)\/x))))\/x*x**2*x**(-5\/6) assuming x is positive.\nAnswer: x**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 39, 49, 59, 69, 79?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l**3 + 0*l)*(-3 + 3 - 2*l) + l**4 - l**2 + l**2 + (-6*l + 4*l + 6*l)*(-7752 + 7752 - 100*l**3).\nAnswer: -403*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -426 + 855\/2. Let m(x) be the third derivative of 0 - 3\/4*x**4 - b*x**3 - 1\/630*x**7 + 0*x + 7*x**2 - 1\/36*x**6 - 1\/5*x**5. Let m(n) = 0. What is n?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1543144*q**3 - 1543147*q**3 + 3086294*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 41147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.1, -5, 0, -0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48254675 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 78, 100, 78, -18?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = 2. Suppose j*v - 1121 = 519. Round v to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6234*d - 168304. Determine c(-27).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 5*o + 18. Let g be m(-7). Suppose 0 = -5*n - u + 19, 3*u = g*n - 2*u - 21. Solve -4*f = n - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 - 5 + 5 + 0.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211 - 80. Let h = u + 2984. Let k = -13507\/5 + h. Find the common denominator of -41\/9 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/13 - 9280*x**3\/13 - 37144*x**2\/13 - 37152*x\/13 = 0. What is x?\nAnswer: -2, 0, 4644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 6701622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73\/115 - 10\/23. What is l in 2\/5 - 11\/5*l**3 - 11\/5*l**2 - i*l - 3\/5*l**4 = 0?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 2*x**2 + 3*x + 4. Let a be g(-4). What is the second derivative of a*h**4 - 4*h**4 + 22*h + 2*h**4 wrt h?\nAnswer: 264*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207375425 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 112, 160, 208?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3*n**3 + 1 - 5*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363978?\nAnswer: 2, 3, 73, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t**2 - 3*t - 2. Suppose -s + 3*c = -6 - 4, -3*s + 2 = 5*c. What is the remainder when h(-1) is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4144 is divided by 458?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {i: 12, g: 5, d: 2}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*(-5*(3*sqrt(209) + sqrt(209))\/sqrt(11) - (-1 + -2 + sqrt(19) + 0))*-4)**2.\nAnswer: -50400*sqrt(19) + 3355196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2673 + 1074 = 4*t, -4*t - 1601 = -q. Let k(o) = -56*o**3 - o**2 + o + 1. Let l be k(-1). Is 9 a factor of -3 + 155\/l - t\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197.016 - -197. Let d = -2.4 + 3.416. Let r = i + d. Which is the second smallest value? (a) 0.3 (b) r (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 86*j - 60*j - 30*j.\nAnswer: -173*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -52\/1969?\nAnswer: -52\/1969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 7) + (-3)\/1. Sort i, -4, -34 in decreasing order.\nAnswer: -4, i, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 12*y**4 - 6*y**3 + 8*y**3 - 7*y + 13*y**4 + 2 to the form k*y + q*y**3 + t*y**4 + h + r*y**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**9\/72 - z**8\/168 + 61*z**7\/70 - 37*z**5\/60 - 7*z**4\/24 - z**3\/3 - 9313*z**2. Find the third derivative of k(b) wrt b.\nAnswer: -840*b**3 - 120*b**2 + 4392*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeehheeeeehe. Give prob of picking 3 h and 1 e.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 5)*(-34)\/(-51). Suppose 6*r + 380 = 5*p + r, d*p + 2*r = 292. Calculate the remainder when p is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*f**2 - 18*f**2 - 37*f**2 + 30*f**2 - 18*f**2.\nAnswer: -92*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -49. Solve -n = 5*x - 0*n + b, -n = -5*x - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -12) + (32 - 39)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3230222 and 3064?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j - 1. Let k be f(-1). Let l(r) = -16*r - 21. Let h(m) = 3*m + 4. Let a(b) = b**3 + 6*b**2 - 6*b + 5. Let y be a(-7). Calculate k*h(v) + y*l(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 85, 293, 701, 1375, 2381, 3785?\n\"Answer: 11*p**3 + p**2 - 6*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-6) + (-2)\/3. Let o be 2 + y*(-2 + 1). Let u be ((-4)\/(-1))\/((-3)\/(-9)). Solve v + a + 1 = 0, -5*v + o*a - 57 + u = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*y = 20, 6*d - 28 = d - y. Let s = -1 + 4. Sort s, 0, d in increasing order.\nAnswer: 0, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*z + 175*z - 312*z.\nAnswer: 41*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 6*v + 24 + 30 + 84 = 3*q, 3*q + v = -7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)\/sqrt(4) + sqrt(20)*5.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -30. Let u = 0.02 + 0.28. What is the nearest to -0.1 in -2\/11, u, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1073 by -1.\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3*(-432)\/(-32))\/(5*1).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -20, -3\/2, -5, -2\/61, -1, -2, 0.11?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12212190, -12212183, -12212172, -12212157?\n\"Answer: 2*m**2 + m - 12212193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 41. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2427081.7 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.686637486 + -0.113362774. Let w = -29 - -26.2. Let l = f - w. What is l rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) - 1*sqrt(88)*1))\/(2*sqrt(288)).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlq when three letters picked without replacement from {b: 2, l: 6, q: 5}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 153118121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -396 divided by -61737\nAnswer: 132\/20579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 5:30 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 1128, 2513, 4466, 6999, 10124, 13853, 18198?\nAnswer: 23171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12744, -25330, -37980, -50724, -63592, -76614?\nAnswer: -89820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 28*g**3 + 493*g**2 - 1334*g - 20450. What is m(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133172760.\nAnswer: 2, 3, 5, 7, 23, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -7*x**5\/20 - 11*x**2\/2 + 54*x. Differentiate o(i) wrt i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -53 (b) 5 (c) -3 (d) -0.4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17164 - 17164. Factor d + 25\/4*o - 5\/4*o**2.\nAnswer: -5*o*(o - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (8 + -8) - -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-282)\/4)\/((-3)\/(-6)). Let y = -64 - z. Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -42*d**2 - 16*d - 16. Let v(m) = 8*m**2 + 3*m + 3. Let t(q) = 3*h(q) + 16*v(q). What is t(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + -7?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17440, -17439, -17436, -17431, -17424, -17415?\nAnswer: -17404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/1)\/((-2)\/1))\/(356\/178)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v + 6412 = 47*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12 + 3*p**2 + 0*p**2 + 5 + 7*p - 4*p**2. Let v be z(8). Suppose -v = -13*b + 10*b. Solve 2*l = -3*s + 4*s - 1, -2*s + 3 = -b*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (78 + -18) - -91?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2332000 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 0*i + 0*i)*(-6 + 4*i**3 + 6) + (-2*i + 0 + 0)*(i**3 + 7159*i**2 - 7159*i**2) to h*i**4 + g*i**3 + l*i**2 + v*i + p and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21.4654 and -0.5?\nAnswer: 21.9654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344401, 688776, 1033157, 1377550, 1721961, 2066396, 2410861?\nAnswer: 2755362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 + 2*d. Let z(l) = -11*l**2 - 64*l - 1621. Let y(c) = -5*o(c) + z(c). Differentiate y(a) with respect to a.\nAnswer: 8*a - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 8874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2662231782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v**2 - 16*v. Let o(h) = 2*h**2 + 3*h. Let l(n) = 16*o(n) + 3*z(n). Let c(b) be the first derivative of -b**3\/3 + 1. Calculate c(l(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -30. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*b = 15, -3*c + 9 = -b + 2*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 672510 >= 278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1601 and -8.23.\nAnswer: 1.317623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - 24. Let m be n(8). Suppose m = 5*z + 6*x - 2*x - 77, -x + 29 = 2*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 11. Let m(l) = l - 5. Let z be m(0). Let h = 1.2 - 0.2. What is the nearest to h in b, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000285653 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Let y(q) = q**2 - 7*q**2 - q**3 - 8*q - b*q**2 + 4. What are the prime factors of y(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -2\/11 (b) 3 (c) 1 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9809 - -9.1501. Let o = 0.131 - j. What is the closest to -1 in -0.5, 4, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 4, -141*b + 143*b = -o + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - o + 45 = o, -5*o = 2*t - 18. Calculate the remainder when 25 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7206 or -7211?\nAnswer: -7206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -202122011021 (base 3) to base 10\nAnswer: -406168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.6 + -12.9. Let o = -2.5 - b. Let m(s) = s**3 + 2*s**2 - 4*s - 1. Let v be m(-3). What is the smallest value in v, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547693*b = -2*f + 547696*b - 203, f - 4*b = -279 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 730523*c**3*h**5 + c**3*h**3 + 224595*c**3*h + c**2*h wrt h?\nAnswer: 14610460*c**3*h**3 + 6*c**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*o + 3*o - 15, -5*o = 0. Suppose 0*k = -2*f - d*k + 21, 4*f - 3 = 3*k. Let w = 5 - f. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (1 - 3) + -469 + 380?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1539))**2 + sqrt(1539) + -4 - sqrt(1539).\nAnswer: 24620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/15 - -14\/45. Let i = -0.08861 + -0.01139. Suppose 0 = -4*b + 2*b + 4*a - 8, 3*b - a = -12. What is the closest to g in 0, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10368608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0*c + 4*c = -11, 3*n + 11 = -c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8221 is divided by 813?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/430076 and 117\/2545070.\nAnswer: 402121060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 114021\/50676*(-32)\/126\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -181950 divided by 3\nAnswer: -60650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7128 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 3. Let v be c(7). Let j = v - -21. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:51 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((9 - 11) + 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/14*(-161)\/414.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*v**5 + 1906*v**3 - 3*v**2 - 209772*v.\nAnswer: -140*v**3 + 11436*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*sqrt(55)\/sqrt(5))**2 + (4 + sqrt(11) + -1)**2).\nAnswer: 12*sqrt(11) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(800).\nAnswer: -80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 10*b**2 - 2*b - 4. Let z be a(-5). Let t(o) = -5 + z*o - 29 + 11 + 71. Let c be t(-6). Calculate the highest common divisor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 20. Solve 2*p - 4*q = 20 - 4, 4*q + z = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4 + 2. Let s(a) = 2*a**2 - 3*a**2 + 11 + f*a**2. Is s(0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1\/(-2))*-10. Let i be z + 2 + -1 + 1. Suppose i*o - 2*o - 160 = -4*g, -g = -5*o - 15. What is the greatest common factor of 14 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqmmqmmmqqqqqmqqmm. Give prob of picking 4 q.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 14) to base 7.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2479844401 to 5 dps.\nAnswer: 0.24798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.338 - -21.382. Let t = -0.78 - y. What is t rounded to zero dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -208.93 and 38.\nAnswer: -170.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:42 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(405)*-4 + 4 - sqrt(405)) + 3))**2 + -1.\nAnswer: -630*sqrt(5) + 10173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:05 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((52 - -12 - (21 + -4)) + -25)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 2*z + 991*z**2 + 6 + 6*z. Let t be c(-1). Suppose 0 = -v + t - 289. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4389.01092 minutes to weeks.\nAnswer: 0.43541775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 58 = -w - 74, -2*w = 4*n + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010219 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 7:53 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 21 + 18 - 215)*(-8 + 29 + 5)*((-p**3 + 2*p**3 + p**3)*(1 - 3 + 0) + 0*p**3 - 4*p**3 + 3*p**3).\nAnswer: 31200*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143092 is divided by 124.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.29177.\nAnswer: 1.45885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -19*d**3 + d**2 - 4*d + 3. Calculate b(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**2 - 98*o + 25*o**2 - 11*o**2 + 9*o**2.\nAnswer: 38*o**2 - 98*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 6, -2, 5, -25 in ascending order.\nAnswer: -25, -2, 5, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**7\/98 - p**6\/3 + 87*p**5\/140 + 2*p**4\/7 - 22*p**3\/21 - 2767*p. Let s(q) = 0. Calculate q.\nAnswer: -2\/3, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(45\/(-6))\/(-1). Let u be t\/(-6)*(-6)\/(-5). Suppose -2*w - 36 = -u*y, 0 = 3*y - 5*w - 45 + 9. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*b**2 - 16*b**3 + 2*b + 17*b**3 - 2*b in the form j*b**2 + s + n*b**3 + u*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:08 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - ((6 - 17) + 53) - (-51 + 3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d - 129896 = -4*r, 3*r + 129903 = -d. What is d rounded to the nearest 1000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d + 26. Let s be i(5). Suppose -2 - 2 = 4*z - 2*n, -z = -5*n + s. Is -66 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 5*m**2. Let x be h(-5). Suppose 869*q = 863*q + 6. Sort x, -3, 4, q in decreasing order.\nAnswer: 4, q, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 307023.1mm?\nAnswer: 307023100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*w = 156*w + 805. Let y be 95 + (-1 - 0\/2). Suppose y = 9*p - w*p. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k*k\/(k\/k**(-11)))\/k)\/k)\/((k\/k**(4\/3))\/k)*k**(-11)\/(k*k**(3\/4)))**(-43) assuming k is positive.\nAnswer: k**(11567\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, i: 7, v: 10}. Give prob of picking 1 v and 3 i.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 238564253 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u = 4*u + 68 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3229 + 3236. Suppose 0 = 3*i + h - 18, -30 = -3*i - 0*i + 3*h. What is the least common multiple of u and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501234529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(sqrt(7)*2)**2 + 1 - -1*(sqrt(252) + 1)**2).\nAnswer: 12*sqrt(7) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237\/2 - 119. Suppose c - 8 = 5*c. Which is greater: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -361, 0.07, -2\/9, -3\/2.\nAnswer: -361, -3\/2, -2\/9, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1023764471 - -3?\nAnswer: 1023764474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 11\/10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 31*v**2 - 36*v - 201. Give o(-30).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/50 and -113\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 67 (b) 3 (c) -0.1 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.02290239\nAnswer: -0.004580478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i - 261 + 302 + 1807 = 0 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 23\/4, -0.1, -11, 8.8, -5?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 3:24 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5143 or -0.1?\nAnswer: 5143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 2*v + 0 + 0*v**3 + 1\/36*v**4 - 1\/6*v**2. Suppose u(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -1.8. Let f = 2638224.9000136 - 2638223. Let k = f - v. What is k rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 + 252*v - 7. Determine t(-63).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*z - 32 = 0, -2*z = 2*m - 6*m + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 159, 347, 611, 951, 1367, 1859?\nAnswer: 2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 8*u + 9*u + (1 + 0 + 0)*(1 + u - 1) + 2*u - 2 + 2.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22265 - 9611238.\nAnswer: -9633503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/132 - (-33)\/4. Suppose 5*g = -4*t + 19, 0 = t - 5*g - 3 - l. Solve -2*q - p = t, 4*q + 10 = 2*p - 3*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 9*t**2 + 789*t - 3709. Give h(5).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1902623?\nAnswer: 17, 111919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -282622 - -282194.237. Let g = 0.763 + a. Let m = g - -426.99999779. What is m rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 62. Suppose -i*o + 27*o = -8. Suppose -o*w + 0*x + 5*x + 51 = 0, 3*w + 5*x - 14 = 0. Solve -2*k + 5*l - 1 = -w, -5*k = 4*l + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 16*h**2 + 2*h - 7. Let q be j(16). Is 15\/q + -1 + 15594\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiikkkkkkikkkk. Give prob of sequence kkk.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = -9. Let c(r) = -4*r**3 - r**2. Let q be c(-1). Solve -9*z**2 + 2*z + 5*z**4 + s*z**4 + 2*z**q - 4*z + z**2 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 401. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135907 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -0.6 (b) -1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6259 + 1028. Let z(g) = -1684*g - 1. Let a be z(-7). Let b = a - k. Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 414733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 4:06 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 51*o**3 + 17*o**2 - 9*o - 22. Let m(k) = -17*k**3 - 6*k**2 + 3*k + 8. Determine 4*b(r) + 11*m(r).\nAnswer: 17*r**3 + 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1134\/168)\/(6\/4))\/(9\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 797 and 0.19299232053?\nAnswer: 796.80700767947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 - g**3 + 3*g**2 + 4*g**2 - 4*g**2 + 2. Let o be n(0). Solve -o*y = -6*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4 - 8634*y**3 - 89046266*y**2 - 138186225342*y - 138097187712 = 0. What is y?\nAnswer: -2673, -1, 9664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4542777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 219902*d**2 - 17*d - 14432559?\nAnswer: 439804*d - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 341073312*f**2 + 41562772 wrt f?\nAnswer: 682146624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -17818*k + 3919967. Determine q(220).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -384791.\nAnswer: 130\/384791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 10*k**2 - 33*k + 5. What is the remainder when i(-8) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7808458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4045 or 3944?\nAnswer: 4045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(108) + sqrt(108) + 4))**2 + (6*sqrt(3))**2 + 5 + 2.\nAnswer: 2400*sqrt(3) + 11315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {w: 1, m: 1, y: 1, d: 1, v: 2, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 + 593 = 40*t. Solve 0 = 7*q + t*q - 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 101 = -117*l + 200*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 63*d**2 - d + 2. What is the remainder when j(1) is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -622?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 + 62*r + 108. Let h be b(-14). Calculate the greatest common factor of 6756 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 81*z - 8. Let f be c(8). Let a(w) = 37*w**2 - 152*w + 36. Let o be a(4). Calculate the greatest common factor of f and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 161. Let k = x + -125. Let w = -69 + 346\/5. Which is the closest to 2\/7? (a) k (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 137738 (c) 0.3 (d) -4 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2478, -20225, -68324, -161949, -316274?\nAnswer: -546473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**5 + 0*k**4 + 0*k**4)*(3046 + 1040 + 3168 + 18).\nAnswer: -7272*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3348*g**3 + 100*g**2 - 5619007.\nAnswer: 10044*g**2 + 200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*z = 238*z + 4. Let c be (-1 - z)*((0 - -12) + -13). Solve c = -4*r - 4*o, -2*r = -6*r - 2*o - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 100*o - 221. Let d be m(48). Let f = 426 + d. Suppose -4*u = -6*u + 26. Calculate the greatest common divisor of f and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -20*q + 18*q**2 + 21*q - 20*q**2 + 8*q**2. Suppose 3*d - 8 = -5*p + p, 2*p - 6 = -2*d. Give t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/((2*sqrt(22))\/sqrt(11)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -3. Suppose b*s = 4 - 0. Suppose -2*u + 5*r - 300 = -7*u, -s*u + 117 = -r. Does 28 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**3 + 11*p**2 - 11*p - 20. Let w(o) = -2*o**3 - 3*o**2 + 3*o + 5. Determine 6*c(u) + 22*w(u).\nAnswer: -2*u**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * -0.8295.\nAnswer: 32.3505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 723 + -723. Solve -2*q - 3*o + 4 = 0, k = -2*q + 5*o - 0 + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -217.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:50 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 34 = 6. Let d be ((-24)\/m)\/(3\/21). Let r(f) = -f**2 + 3*f + 14. Let j be r(d). Put 4, j, -5 in descending order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r - 28*r + 5*c = 7170, r - c = 2374. Calculate the greatest common factor of 1750 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k. Let f(r) = 7*r**3 + 8*r. Let x = 363 + -279. Let q = -100 + 11. Let t = x + q. Determine t*f(z) - 40*v(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 9 - 266*b + 112*b - 367*b - 9 in the form w + x*b and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 14*n - 54. Give t(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5593, 22353, 50281, 89377?\nAnswer: 139641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-125 - -164) + ((-12)\/(-9))\/((-1)\/3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f - f)*(-6 - 25 - 1 - 3 + 2 + 3 - 1 + 6 - 3 + 1 - 3 + 3 + 1 + 3 - 2 + (1 + 1 - 1)*(3 + 0 - 2) + 5 - 3 - 4)*(5 - 4 + 1)*(-4 - 4 + 4).\nAnswer: -416*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0822 at most as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1051 divided by 1.\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 11*b - 13*b. Let z = 8 + -4. Let f(u) = 6*u + 1. Let k(v) = -13*v - 2. Give b*f(l) + z*k(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -18*i**5\/5 - 25*i**3\/3 + 36*i**2 - 15*i - 6855. What is the second derivative of p(a) wrt a?\nAnswer: -216*a**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2073 or -76676\/37?\nAnswer: -2073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6551844766 - -21.43\nAnswer: -6551844744.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -5 - (-4 - (12 + -2 + 1 + -8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5889*t**2 - 92 + 2948*t**2 + 2940*t**2 + t - 144 to i*t + w*t**2 + v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34290 by -127.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47419, 189662, 426733, 758632, 1185359, 1706914, 2323297?\n\"Answer: 47414*n**2 + n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5633168 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-100)\/16*(13 - 1296\/80). Let q(u) = 3*u**3 - 2*u**2 - 6. Let o be q(5). Let n = o - 179. What is the greatest common factor of n and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/16)*a\/((a**(1\/4)*a)\/a)*a assuming a is positive.\nAnswer: a**(31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 364522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/15 + (-141104)\/(-20). Suppose 184*m = 179*m + d. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j - 8. Let v = 456 + -463. Give p(v).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1756\/252 - 7)*7\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:49 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*l - 138. Suppose 5*y + 22 = -2*a - 0, 2*a - 14 = 4*y. Is (1\/(a\/l))\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x**3 - 927*x**2 + 231*x.\nAnswer: 3*x*(x - 77)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*f - 2 + 9, -f = -4*q - 8. Suppose -f*w = 2*i - 5334, -4*i + 2671 = 2*w - 7*i. Suppose -3*a - 1337 = -4*h - 2*a, 2*a - w = -4*h. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 0*w**4 + 0*w**6 + 1\/3*w**3 + 0*w**2 + 0*w**5 + 0*w + 3\/7*w**7 + 2. What is the third derivative of v(n) wrt n?\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52050 and 48.\nAnswer: 416400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*q = -23, -2*f - 4*q = 3*f. Let x(m) = -m**3 + 4*m**2 + 5*m - 6. Let w be x(5). Let k = f - w. Let c(y) = -y**2 - y. Calculate c(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -332312?\nAnswer: 332313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 2*z - 20 + 1033, 0 = 5*z - 20. Suppose -4*s - i = -7*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -441\nAnswer: 440.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -151 - 25*j + 151 as s*j + r and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 1602*b + 168260.\nAnswer: -2*(b - 895)*(b + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**5\/60 + 7*g**4\/24 + 7*g**3\/3 + 14*g**2. Calculate the lowest common multiple of i(8) and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1177 = -2*j, -4*n = -j - 3*j - 4768. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**5 + 448*l**4 - 1520*l**2. Let r(o) = -o**5 - 224*o**4 + 761*o**2. Let i(m) = 9*r(m) + 4*v(m). Find the third derivative of i(n) wrt n.\nAnswer: -60*n**2 - 5376*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 31 = 3*z - 8*z, 2*z = 5*y. Suppose z*r - 12 = 13. Suppose 2*g - 38 = -30. Solve -r*a = -i + 9 + 9, -g*i + 2*a + 18 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6238, -4297, -1062, 3467, 9290, 16407, 24818?\n\"Answer: 647*o**2 - 6885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 20 + 12. Suppose 0 = -2*r + 4*r. Suppose q = 4*n - r*n. Calculate the smallest common multiple of n and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 8 - (34 + -37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3388.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 1. Let q(i) = -3*i - 1. Give 6*a(b) - 5*q(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-1)\/32)\/1\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/6 - 47*j**3\/6 - 14*j**2. Let l be k(-12). Calculate the highest common factor of l and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -21\/5, 1\/9, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179892977 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -9 + (-9 - 4)*(-3)\/(-3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -170.7 (b) 1 (c) 796\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*k + 3*k, -i = -k - 884. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -27\/5, 0.01, -1, -0.4, -2, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69\/160 - -1\/32. Let t = 9.3 + -1.3. Let b = t - 14. Sort u, 5, b.\nAnswer: b, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 8, x: 2, p: 9}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -256*i**2 - 2*i + 4. Let h(a) = 146177*a**2 + 1143*a - 2286. Determine 4*h(q) + 2286*p(q).\nAnswer: -508*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n - 30. Let z(c) be the third derivative of 0*c - 1\/2*c**3 + 1\/60*c**5 + 1\/8*c**4 - 48*c**2 + 0. Calculate z(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, -1\/3, -5\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-4))\/((-15)\/10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 1 + 2 - 2*a.\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 6*x + 3. Let j be 23\/(-69) + x + (-52)\/(-3). Let n be 8\/28 - 0 - j\/14. Sort -2, 26, n in ascending order.\nAnswer: -2, n, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 4878059.32167?\nAnswer: -4878058.82167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 18. Let s(f) = f**3 + 22*f**2 + 21*f - 17. Let u be s(-21). Calculate the smallest common multiple of 3 and d(u).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 12:57 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*v + 13. Let c = 6 + v. Suppose i = -3*d + 2*i + 193, -i - 1 = c. Is d a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 15*o - 20*o. Let w(c) = 2*c - 3. What is w(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + sqrt(6)\/(-2*sqrt(2)).\nAnswer: -sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 0.28.\nAnswer: -6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224688 - -41113. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 49*u**2 - 10. Let m(n) = -220*n**2 + 44. Give 22*a(d) + 5*m(d).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 3*g**2 - 3*g**2)*((17 + 30 - 9)*(-3 + 2 + 3) - 1 + 1 + 2).\nAnswer: 156*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 4, 1, -129 in descending order.\nAnswer: 4, 1, -3, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -602 by -42588.\nAnswer: 43\/3042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238558*h**3 + 119283*h**3 + 119276*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -12*m + 4*m. Suppose 0 = -2*t - 3*t. Let g be (-4)\/(-6)*(m + t) - -2. Let p(f) = 3*f. What is p(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*n + 5683 - 6743 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142103\/286750 + -1\/2294. Calculate the common denominator of c and -14\/275.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 4.8. Let z be (-5)\/13*(-16)\/(-40). What is the second smallest value in 3\/4, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205184 divided by -4.\nAnswer: 51296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/12 - 63\/12. Sort -3, 2, n.\nAnswer: n, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 - 2.29. Let o = p + 2.09975. What is o rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 8 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:54 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x - 1. Let d = 4 + x. Solve z - d*n = -17, -4*z - n + 16 = -0*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 661600\/9924*(-3)\/(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 22*c**2 - 151*c + 30. Let w be m(6). What is the smallest value in -4, w, -2\/3, 4\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1598 - -1608. Solve -3*t + l = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 6, 0.4, -2, 10, 436?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 84908069*v**2 - 84911153*v**2)*(-v**3 - 3*v + 3*v) + 2*v**5 + v**4 - v**4.\nAnswer: 3086*v**5 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*(v\/v**14*v)\/v)\/v*v)**(-29)*(v\/v**33)\/(v*v**(-2\/41)) assuming v is positive.\nAnswer: v**(11728\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 17*l + 3*l - 22. Let a(u) = u - 1. Let f(z) = 88*a(z) - 4*d(z). Let h(v) = v. What is f(h(o))?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s - 62*s - 1 = 0. Suppose -3*q + 3*m = 2*m - 2, -3*m = -4*q + 1. Which is the nearest to 1? (a) -0.5 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhqurcczquzz. What is prob of picking 1 c, 2 u, and 1 q?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) -210 (b) -1\/6 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.5, 0.071, 1\/3, 0 in descending order.\nAnswer: 4.5, 1\/3, 0.071, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -2 - (6 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-42 + 68) - (6 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(7\/2)*b\/(b*b*b**(7\/6)))\/(b\/((b*b*b**(4\/3)\/b)\/b))**(-35) assuming b is positive.\nAnswer: b**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 - 106808*n - 106812 = 0.\nAnswer: -1, 26703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + sqrt(272))**2.\nAnswer: 40*sqrt(17) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4 - 1, -6 = -3*k + 3*i. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose p*j = 4*j - 6. Suppose -j*f = 49 - 154. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2979 (base 16) to base 7\nAnswer: 42645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 20931635\nAnswer: -3\/20931635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211963 is divided by 530.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 20?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976.2667mg to grams.\nAnswer: 0.9762667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 8*j - 13. Let o(b) be the first derivative of -b**4\/4 + 5*b**3\/3 - b**2 - 2*b - 1. Let l be o(3). What is the units digit of s(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = z - 8 - 0, 2*z + 2*s = 10. Let v be ((-3 - -2) + z\/4)*2. Solve c - 4*h = -15, -5*c + 11 = -3*h + v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153061 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*s - 5 = -3*s, 3*k + s = 27. Calculate the remainder when 38 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -11*k**2 + 189*k - 327. Give t(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -5, -2, 5 in decreasing order.\nAnswer: 35, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 = 5*d, 0*k - 2*d = 5*k + 29. Let f = -8 - k. Are f and -2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142208.\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 5*i + 4*i + 40 = 4*b, -16*i + 3*b - 9 = -73 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 10:50 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 282601, 282596, 282591, 282586, 282581?\n\"Answer: -5*f + 282606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*x**3 - 85*x**5 + 5230*x**2 + 1893*x**2 + 1708*x**2 wrt x.\nAnswer: -5100*x**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 + 2 = -25*h. Solve 0 = -2*i - 5*b - 7, 5*i - 16 = 4*i + h*b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 + 159. Suppose -2*n + 4*q + 1 = -53, 2*n - 3*q = 52. Suppose 3*z - 2*l = 2*l + n, t*z - 20 = -2*l. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8255 + -8254.99993038. What is y rounded to six dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/36320 and 37\/18160.\nAnswer: 36320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3787*v**2 - 10*v + 14. Calculate f(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 6)\/(0 + -1). Suppose -x + 2*x = -n + 17, 3*n - 2*x - 66 = q. Suppose -2*t = -4*t + 42. Solve -4*h - n = -4*d, 4*h = 3*d - t + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = -19*q + 38 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) -0.761\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 8*l**2 + l - 10. Let c be w(8). Let r(g) = g**3 + 2*g**2 - 3*g - 1. Let o be r(c). Let f(k) = -k - k**3 + 0 + 6*k**2 - 4*k + 1. What is f(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3, -m + 3*m - 2504 = 2*y. Suppose -3*o - 2*o = -m. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*z = -6, -3*z + 13 - 4 = 5*p. Let n = -245.5 + 195. Let x = n + 51. Which is the smallest value? (a) 4 (b) x (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -18*m + 626. Let v be g(35). Let d = 21 - 23. What is the fourth smallest value in 1, d, v, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24717 + 24673. Which is the second biggest value? (a) 1 (b) -0.3 (c) -3 (d) 8 (e) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -171.\nAnswer: -8\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2279 - -2?\nAnswer: -2277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -314 + 887. What are the prime factors of a?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 12 = -3*f. Solve -f*h - 4 = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-9 + 330\/40). What is the closest to -1 in 3\/4, 32, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - 165. Let n(w) be the second derivative of 0 - 2*w**4 - 3\/4*w**5 + 0*w**2 - 2*w**l - 2*w - 1\/10*w**6. Find g such that n(g) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 - 66. Let v be (-2)\/(-4) + 3\/2. Suppose 0 = v*g + 11 - 29. Calculate the highest common divisor of g and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose 20 = 4*c - 8. Find the second derivative of -2*f + 2*f**t - 7 + c wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -9.7. Let o = j - -10. What is the third biggest value in o, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -93?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/31714 and -48\/1159.\nAnswer: 36756526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1056 + 1075 - 2131 + 401*j**2. Let y(i) = 4*i. Determine r(y(k)).\nAnswer: 6416*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18049 + -54149\/3. Which is the closest to -182? (a) -1\/3 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1335306*w**5 + 9*w**2 + 58467 wrt w?\nAnswer: 80118360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 7\/5 - (-760)\/100. Solve -5*i - c = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 8:12 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**3*v**3 + 30*n**3*v - 2*n**2*v - 6*n*v**3 wrt n.\nAnswer: 12*v**3 + 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632991.\nAnswer: 3, 257, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uttuuudtutuuutt. What is prob of picking 1 d and 2 u?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 10. Calculate the remainder when 14 is divided by ((-10)\/(-3))\/(k\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 11:19 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 6:51 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41\/15 - 17\/5. Let p = 77.55 - 77.95. Which is the fourth biggest value? (a) p (b) 2 (c) z (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 r, and 1 i when four letters picked without replacement from mmrmwrrrrsimriimrw?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4271770*164\nAnswer: -700570280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26252301 (base 8) to base 10\nAnswer: 5854401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 3) in base 15?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.64631354973 - 0.5.\nAnswer: 42.14631354973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3509*g = 3514*g - 115 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3 - 5 - -6) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26995124 divided by 4.\nAnswer: -6748781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2 + 2*h**2 + 2. Let k(d) = 27*d**2 - 82*d**2 + 27*d**2 + 26*d**2. Calculate a(k(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-11 - (-14 - -11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1 - 29*i**3 - 2*i**3 + 3*i**3 - 2*i**2 - 2*i - 26*i**3. List the prime factors of n(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6*(-15)\/240 + 2 + 405\/8?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1484 and 6360.\nAnswer: 44520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54524 + 36?\nAnswer: 54560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 s when three letters picked without replacement from {f: 5, s: 3, i: 3, e: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 22. Let q be b(-6). What is the third biggest value in -4\/5, 3\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/9 + 544*m**2 + 3262*m\/3 + 4892\/9 = 0. What is m?\nAnswer: -2446, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -0.1. Let h be ((-3)\/8)\/(9\/6). Let m = 0.643 + 0.357. What is the third smallest value in h, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**10\/h))\/h*h**(-9))\/(h**(1\/2))**(-1\/43))**(-25) assuming h is positive.\nAnswer: h**(40825\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 3:35 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 61. Let x = -997 + 987. Calculate n(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Let a(j) = -765775*j**2. Calculate a(f(o)).\nAnswer: -3063100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 13*r**2 - 2*r - 1. Let i be a(-2). Suppose -p = -3*p - 4*n - 8, 5 = p + 5*n. Let z = p + 32. Calculate the greatest common factor of i and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151291700 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) 0.4 (c) 3\/5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(3\/5)*t)\/t)**(-3\/25)\/((t**14\/t)\/(t*(t\/t**(-1\/2))\/t)) assuming t is positive.\nAnswer: t**(-2923\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4646089570?\nAnswer: 2, 5, 19, 24453103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + x = 2*x - 11, 4*x = -5*g + 16. Suppose 3*j - 5*u = 48, -4 = -j + g*u + 19. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**3 + 1 + 5*f - 4*f + 2968*f**2 - 2968*f**2 as z*f**2 + a + v*f**3 + j*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23011 (base 4) to base 9\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78174526411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 502266.\nAnswer: 5022660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 40*l**2 - 5*l + 20. What is the tens digit of i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.05, -36, 2?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -199*m**4\/4 + 11*m**2 + 20*m + 2. Let i(x) = -x. Give i(w(a)).\nAnswer: 1194*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3. Let s be m*2*(10 - 9). Solve 0 = -4*l + 3*l - s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 1 - (3507 - 3559)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (232\/(-56) + 5)\/(((-60)\/(-21))\/2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6190 = -4*x + 2703, 5924 = 2*w - 2*x. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 999 - 998. Which is the third smallest value? (a) p (b) -40 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77514*b**2 + 126604.\nAnswer: -155028*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136 - -112)\/((-15)\/6 + 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1392, -3619, -5836, -8043, -10240, -12427?\nAnswer: -14604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -545\/3153967 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, -57, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.9033 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13 + -562070681.\nAnswer: -562070681.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 7*m - 8. Let a be w(-8). Let r(h) = -3*h + a*h - 5*h. Does 3 divide r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(204)*3 - sqrt(204)))\/(sqrt(132)\/((sqrt(396) - sqrt(11)) + sqrt(11)) + sqrt(12)))**2.\nAnswer: 9792\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3383, 3424, 3465, 3506, 3547, 3588?\n\"Answer: 41*z + 3342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321568, 643063, 964516, 1285921, 1607272, 1928563?\nAnswer: 2249788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a77 (base 13) in base 5?\nAnswer: -434340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 173, 162, 147, 128?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12312 = -32*m - 11032 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2. Let i(l) be the third derivative of 3*l**5\/40 - l**3 - 14*l**2. Let f(z) be the first derivative of i(z). Calculate s(f(y)).\nAnswer: 162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 6*f**2 - 5*f - 9. Is 21 a factor of p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 95.7, 3\/5, 5, -8, 2, 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432138093?\nAnswer: 31, 59, 701, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:46 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l**3 + 5*l**2 + 5*l. Let w(g) = -9 - 726*g - 6*g**2 - 11*g**3 + 720*g + 2 + 7. Calculate 6*t(f) + 5*w(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-1 - -7) + 96\/(-15))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81092 + 1.12056?\nAnswer: 1.93148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -e6c?\nAnswer: e65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5389 divide 1821007768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61696*r**5 + 19*r + 174?\nAnswer: 1233920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**3 + 91 + 29\/4*k**4 - 1\/3*k**6 + 0*k**5 + 0*k + 2*k**2. Find the third derivative of n(o) wrt o.\nAnswer: -120*o**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 2168480560.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/36)\/(40\/(-15)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -227. Let u be s\/22 - (-8)\/44. Let a(q) = 3*q - 6. What is the units digit of a(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/9 and 23\/695598.\nAnswer: 2086794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4762300903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 2. Let c be x(6). Suppose 4 = -4*q, c*j - 30 = -2*q - 0. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2710.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339099 is divided by 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/84378 and 67\/84?\nAnswer: 168756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -2*z**7\/35 + 2*z**4\/3 - 5*z**2. What is the second derivative of p(s) wrt s?\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22875455.\nAnswer: 5, 17, 23, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66332*a**2 - 66374*a**2 - 7*a + 132517*a**2)*(3*a + 1 - 4*a + 2*a)*(2 - 4 + 3) to the form q*a + h*a**3 + z*a**2 + c and give h.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2445 divided by -5\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (500\/(-375))\/(38\/(-3))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**3 - 5*w - 12. Let f(o) = -o**3 - o - 1. Let d(m) = 5*f(m) - l(m). What is the derivative of d(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s**2 + s - 1. Let u be l(2). Suppose -3*d + 564 = -u. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -5a?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453 + 493 = 5*a + 3*s, 0 = -a - 2*s + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 124464, 248924, 373364, 497778, 622160, 746504, 870804, 995054?\n\"Answer: -n**3 - 4*n**2 + 124479*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/294 and -169\/126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 145497944 to the power of 1\/2, to the nearest integer?\nAnswer: 12062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 215*t**2 + 230*t - 440.\nAnswer: -5*(t - 44)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 14 = -2*n, 4*n - 10 = 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:11 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 9:17 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/17, 2.6, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13638 is divided by 1541.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.6 and -131?\nAnswer: 2043.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 57885.3174 to the nearest 10.\nAnswer: 57890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjzzj. What is prob of sequence jjjz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 2*k + 20, 0 = 5*i - 3*k - 46. Calculate the remainder when 1\/(5\/(-10)) - -25 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(1*sqrt(4)))**2*-2.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -377, -543, -691, -821?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1638 (base 12) in base 16?\nAnswer: -a4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - q - 7 + 8 + 11 to the form b + o*q and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -5 + 8 + 45 + -3 - -10?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.1 + -5.09999965. What is k rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3280 - -3280. Which is the closest to m? (a) -0.66 (b) -1\/5 (c) -4\/3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*i - 164 - 44, -2*n = i - 49. Suppose c + i + 1 = 0. Let a = -1321 - -1321. Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drr when three letters picked without replacement from zzdyrr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1913.406ml to litres.\nAnswer: 1.913406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + n = 13, 5*b - 5*n = -2*n - 34. Let u be ((3\/b)\/3)\/((-41)\/(-205)). Let i be (3 + (-3 - 0))\/u. Solve i = -2*f + 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 25*a + 369 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-275)\/25)\/(-66)*(-10)\/(-15)*-2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/44 and (3 + (-497)\/(-28))\/(-4).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4.974 (b) -0.236 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 1, j: 3, b: 6, n: 2, p: 6}. What is prob of picking 1 p and 3 b?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - -1 - 535\/(2 + 3). Suppose -2*p - 101 = -363. Let u = p + w. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -387 + 388. Which is the nearest to i? (a) -0.4 (b) -0.07 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29530988, 29530984, 29530978, 29530970, 29530960, 29530948?\n\"Answer: -o**2 - o + 29530990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h = 13 - 175 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0702744 less than 13?\nAnswer: 12.9297256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27965*t**2*v**3 + t**2*v - 26*t**2 - t - v**3 + v**2 + 5*v wrt v.\nAnswer: 167790*t**2*v - 6*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 7*r**2 - 7*r - 8. Let n be u(-6). Let o be (-2)\/((-2)\/n) - -12. Find the common denominator of 1\/2 + (-46)\/o and 101\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-4 - -12) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38074447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 5*v + 0*v + (-3 - 1 + 2)*(-3 + 3 + v))*(-55 + 22 - 84).\nAnswer: 351*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49, -100, -149, -196?\n\"Answer: u**2 - 54*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 18. Let f = -3 - i. Which is the closest to f? (a) 1 (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28804495 to the power of 1\/2, to the nearest integer?\nAnswer: 5367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1369 + 545 = -66*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**6\/120 + 2*o**5\/15 - 11*o**4\/24 - 11*o**3\/6 - 4*o**2. Let h be k(-9). Solve 22 = 5*y - 3*b + b, 0 = -3*y - 5*b + h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4551 - 4551.02. Let b be (-6)\/4*8\/9. Let o = -1.94 + -0.06. What is the second smallest value in b, d, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000072075 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -464 divided by -6?\nAnswer: 232\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a = j - 22, -10 = 5*a. Let s(w) = 2*w**2 - 37*w + 20. Let f be s(j). Solve 5*q + f*u + 22 + 1 = 0, -13 = 3*q + 2*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076230047 minus 4?\nAnswer: -4.076230047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*h - 757*h = 41*h + 4920 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2083\/2 at most -1043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**4\/12 + 7*j**3\/6 + 7*j**2 - 5*j + 3. Let w be i(-6). Solve 4*k + w = 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*v**2*w + 2*v**2 + 343*v*w - 2*w**3 - 12885 wrt w?\nAnswer: 6*v**2 + 343*v - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(44) + -4 + sqrt(99)*-2)**2 + -4 + 0.\nAnswer: 32*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s - 9. Suppose -227*j + 115 = -250*j. Determine p(j).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3*t - 2*t + 25 = 0, 0 = -2*c - 3*t + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -1\/6*q**3 + 4*q + 0 + 0*q**2. Let g(y) = 3*y - 5. Let j(c) = 3*c - 4. Let w(m) = -4*g(m) + 5*j(m). Calculate o(w(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 225*n - 237*n + 451 - 247 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.133688 rounded to one dp?\nAnswer: -16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = -13*g + 6, 2*i = 5*g - 5*g + 4*g + 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 9*y - 9. Let u(h) be the second derivative of -h + 0 + 1\/3*h**3 - h**2. Give 9*u(r) - 2*v(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73342529 or 73342527?\nAnswer: 73342527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35793465 not equal to 35793466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 162703.\nAnswer: 162703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*2.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3242802027.\nAnswer: 3, 31, 107, 325877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and 1192250.\nAnswer: 7153500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 133326?\nAnswer: -1466586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*o - 3*o. Determine c so that 2*c - 7*c**2 + c**5 - 5*c**4 + 9*c**o + 3*c - 3*c = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Let t be -12*(2\/m - -2). Is 4 a factor of (t\/15)\/((-4)\/50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -345*j + 55. Is k(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7040 divided by -3520\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -7631, -3, 5, 7, -2 in descending order.\nAnswer: 7, 5, -2, -3, -23, -7631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18 - (-659)\/9. Let l = k + -8. Suppose -5*o = -6*v + 5*v - 79, v = -4*o + l. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 22. Let y = -170 + 117. Let b = 57 + y. Solve b*m + 0*m = -t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/11 or -15\/2858?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xig when three letters picked without replacement from {x: 1, g: 3, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2082909 or -6248731\/3?\nAnswer: -6248731\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 213, 195, 151, 81, -15, -137?\n\"Answer: -13*b**2 + 21*b + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23, -6 in descending order.\nAnswer: 23, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 3 + 5 + 0 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/(l*l*l**(-3)\/l))\/l*l))\/l)\/l)**(-34)\/(l**11*l*l**(-9)\/l) assuming l is positive.\nAnswer: l**134","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -126840 divided by 420\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -372 + 371.89. Which is the nearest to 0? (a) n (b) -3 (c) -0.12 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263 + -5521\/21. Suppose -2*k + 0*k = -2*x, -5*k - 5*x - 20 = 0. Sort k, 0.5, 4, l in descending order.\nAnswer: 4, 0.5, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and 1474992?\nAnswer: 11799936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) - 2\/3. Let d(x) = -x**3 - x**2 - 2*x + 20. What is the remainder when 59 is divided by d(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 12 = -3*r - m, 5*m - 6 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1814433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7155 + -7158. What is the nearest to 73\/24 in c, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 387, 0, -5, 18, 9 in descending order.\nAnswer: 387, 18, 9, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -392*a*l**3 + 2*a - 332 wrt l?\nAnswer: -1176*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 3*r**2 + 4*r + 2. Let y = 2 + -9. Let q = 11 + y. What are the prime factors of c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9245 - -9244.8. Which is the nearest to -0.23? (a) v (b) 1.6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, -1\/42, 3, 0.1?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 25. Let l be 5\/m + (-2)\/6. Let p = -0.246 - -0.246. What is the nearest to p in 0, l, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4*t*t)\/t)\/(t\/(t\/(t\/(t\/(t*t**5*t)))*t*t))*t\/t**(-1\/2)*(t\/(t**(-7\/3)*t))\/t assuming t is positive.\nAnswer: t**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3127 divided by -2?\nAnswer: 3127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - o = 8 - 7, -4*o = -3*m + 2. What is the first derivative of 43*w**2 + 37*w**2 - 25*w**m + 52 - 5*w**2 + 30*w**2 wrt w?\nAnswer: 160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 20 = 0, -4*u + 8*m + 231836 = 10*m. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, a: 2, r: 3, w: 1}. What is prob of picking 1 w, 1 r, and 1 c?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -11.06?\nAnswer: -55.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v. Let k(q) = 20377803*q. Determine k(w(p)).\nAnswer: 203778030*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0, -32 in descending order.\nAnswer: 0, -25, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*26\/702)\/(((-12)\/(-9))\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) 2 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6927 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 46.64. Let m = -0.04 + h. Let s = 2.4 + m. What is the biggest value in -1, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 k when four letters picked without replacement from {k: 3, n: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**4 + 3*n**4 + 3*n**4)*(359 + 452 + 54) as d*n + u + s*n**3 + w*n**2 + a*n**4 and give a.\nAnswer: 1730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/p**(1\/3)*p)*p**(-2\/31)*((p*p**(-6\/7)*p)\/p)\/(p\/p**(1\/2)) assuming p is positive.\nAnswer: p**(-1417\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14577735 or -29155471\/2?\nAnswer: -14577735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i + h - 19 = 0, -3*h + 1 = -i. Suppose -8*k + i*k + 24 = 0. Let g(o) = -o**3 - 4*o**2 - 2*o. Calculate g(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/576 <= -14506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + 18*l**2 - 76*l - 578. What is m(-7)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + u**2 + 10. Suppose -5*l - 3*i + 0*i = -6, 2*l - 8 = -4*i. What is n(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*t - t + 428547 = 0, 285698 = 2*r + 2*t. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1919627 (base 13) to base 7.\nAnswer: -126564452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 32184?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282282486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 43. Let i = 78 + -54. Let j be b(i). Solve -3*g - 20 = 2*g - 4*a, j*g = -a - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 9*h + 2091 = 0. Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 3:13 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 9 (c) -1\/14 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7772604 divided by -8.\nAnswer: -1943151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-595)\/(-15))\/(9231\/(-3258))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 9 = -3*h, 0 = 3*h + 4*b - 25 - 12. Solve -4*j - h*s = -2*s - 24, -4*s + 18 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702*w**2 + 702*w**2 + 10*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-34)*(-1070)\/19260\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 14*v = 6. Calculate the greatest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 5:11 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 5*f, -2*z - 89*f + 93*f = 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 23. Let y be z(-16). Solve -y*c = -4*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m + 16. Suppose 0 = r - 2*b - 2*b - 39, 4*r + b - 173 = 0. Let h(s) = -s - r + 87 - 39. What is 16*h(o) - 5*n(o)?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 38*s**2 - 86*s - 372. Calculate o(-36).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -358. Suppose h = s + w, -5*s + 15 + 5 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 42268*f - 2 + 42277*f + 1.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 2*n - 26, -2*s - 7 = -4*n - 29 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150426332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*z**2 + 5 - 4 + 0 + z**3 to b + p*z**2 + h*z**3 + q*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 10, -88, 4, -4, -2 in increasing order.\nAnswer: -88, -4, -2, 0, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 105\/14*3\/(-9)*480\/60600\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18451 (base 10) to base 3\nAnswer: -221022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 151880000 to the nearest one million.\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 101 = 26*j. Suppose 5*d = -2*l + 21 + 10, j*l - 25 = -5*d. Calculate the greatest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1068051*f**2. Let s(n) = -2*n. Calculate s(q(k)).\nAnswer: 2136102*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -4)\/(3\/24). Let a = 18 - q. Solve a = r - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + t - 1057, 2*v + 3*v - 5*t = -1340. Let a = v + 368. Let c = a + -72. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**7\/30 + 13*q**6\/18 - 37*q**5\/15 + 8*q**4\/3 - 23*q**3\/2 + 75*q. Let y(a) be the second derivative of t(a). Factor y(l).\nAnswer: -4*(l - 8)*(l - 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/654 and -62\/27.\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(s - s + 3*s) + (-2 + 1 + 2)*(-2*s + 5*s - s) - 3*s + 0*s + 6*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 346 - 1100. Suppose -235*w - 1776 = -q*w. Is 54 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(3\/(-7))*(-48)\/(-56). Let a(b) = -8*b + 52. Is a(o) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 910.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/217520 and 61\/108.\nAnswer: 5873040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1, 1\/2, 862\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -0.026 (b) 1\/2 (c) -19 (d) -0.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2444249096+3\nAnswer: 2444249099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2225, -4454, -6683, -8912, -11141, -13370?\nAnswer: -15599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010101 (base 2) in base 5?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210 - -228. Solve 20 = 5*i + 3*c, -2 = -5*i - c + n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*r + 160*r - 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6*i + 5170 = i, -4*h + i = -4148. Suppose 10*u - 868 = 1022. Suppose z - h = u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Let a(y) = -5*y - 20. Let b(j) = -6*j - 22. Let u(n) = 7*a(n) - 6*b(n). Determine u(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 415925, 831850, 1247777, 1663706, 2079637, 2495570, 2911505?\n\"Answer: p**2 + 415922*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/(-134)*(2 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*i - 60, 0 = -2*t - 2*t + i + 42. Suppose -4*d + 50 = -t. Calculate the highest common factor of d and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 23*v**2 - 30*v - 21. Is 7 a factor of u(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/836 and -54\/209?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15411, -15413, -15415, -15417, -15419?\nAnswer: -15421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 9) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 - 18*u - 2. Let o(z) = -9*z**2 - 54*z - 6. Determine 6*o(b) - 17*t(b).\nAnswer: -3*b**2 - 18*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (0 - 56) + (-181 - -198).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 1 = -2*g, -g = 4*g + 2*x + 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -8*n + 4*n. Suppose -2*y - 2*y - z + 5 = 0, -n*z - 6 = 0. Solve -i = y*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 - -7707?\nAnswer: 7607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1069)\/(-67347))\/((-1)\/(-9))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -17. Let r(n) be the second derivative of 0 - 1\/2*n**2 + 2\/3*n**4 + 1\/6*n**3 + n. Calculate r(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 21, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*z + 56 = 0, 0 = 6*v - 13*v - 5*z + 80 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 848675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1855 - -1841. Which is smaller: d or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2\/3 - 79*x\/3 - 3842\/3 = 0.\nAnswer: -34, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33344 and 297408.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351832842 + 312547.\nAnswer: 352145389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 5. Let u = -5 - g. Suppose -3*a - 2*a = 20. Is a >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.7 + -14.7. Which is the second smallest value? (a) -2\/13 (b) z (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100387.65 to the nearest one hundred.\nAnswer: 100400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 1. Let l(x) = -x**3 + 8*x**2 + x - 7. Let i(o) = -l(o) - 5*w(o). Determine i(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 23 = 5*v, -5*v - 29 = -23*m + 25*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - -2*99\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6)\/(j\/((j\/((j*j*((j**3\/j)\/j)\/j*j)\/j))\/j)*j*j))\/(j**(1\/7)*j**4) assuming j is positive.\nAnswer: j**(-377\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1)*(-2 - -1). Let z(n) = 25 + n**2 - n**3 + 2*n - 25. Let t be z(2). Solve 3*w + y - 1 = -t, -5*w + s = y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - -10 - (-39 - 0). Suppose -5*c - 1 = -q. Suppose -5*d - 48 = -c*d. Is d smaller than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 14, 3, 1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4290 and -47\/1155.\nAnswer: 30030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.764 at most as big as -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/45*3*-10.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1395.28l to millilitres.\nAnswer: 1395280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -219, -291, -379, -483, -603?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8.5. Let y = 3 + -5. Which is the nearest to y? (a) -9 (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j + 372 - 65 = -197 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 + -53 + 108 - ((-3 - -5) + -4 + 8).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5679 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290\/(-100) + (-10)\/(-4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.5. Let o = -562.9 + 562.85. What is the fourth smallest value in 2\/11, -2, u, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:34 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 731 divided by -74342.\nAnswer: -731\/74342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {l: 3, u: 1, q: 1, s: 2, e: 3, n: 9}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 69 = -6*j. Let q = j - 41. Let w = 19 + q. Solve -11 = 4*k - l + 4*l, w = k + l + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 4*r**3\/3 - 2*r + 96. Give f(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -968, -955, -926, -875, -796, -683, -530?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-6) - 532\/(-21)) + -4. Calculate the remainder when 1*c*(-12)\/(-18)*2 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23608018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1121200122100 (base 3) to base 9\nAnswer: 1550570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from llvvl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/6)\/(585\/3159)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15539 is divided by 122?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 35) + ((-10)\/4)\/(-1)*-44?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -478.225 + 0.478551\nAnswer: -477.746449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 288*g + 5485. Calculate r(-70).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 24*r**2 + 60*r + 64. Determine c(20).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = 5*t, -4*t = -1 + 21. Let o be (-2 - i)*50\/(-4). List the prime factors of ((-8)\/10)\/((-5)\/o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -52 - 12*f + 11 + 8*f - 27*f. What is the remainder when k(-5) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 5*i + i. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31879292?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86\/3 + 29. Sort -2, -1, k, -5 in decreasing order.\nAnswer: k, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 293631*h**5 + 24518305*h**2?\nAnswer: 17617860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0*l + 11\/30*l**5 + 0*l**3 - 14*l**2 + 0 + 1\/2*l**4. Find the second derivative of k(h) wrt h.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -338\/7?\nAnswer: -338\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 3)*-3 - (1 - 1). Let h(b) = 18 + 4*b**2 + 20 - 36. Is h(f) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 5:50 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145582 is divided by 31821?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 888 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 56 and 0.09 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 - 2*d**2 - 2*d**2 + (-3*d**2 + 5*d**2 - d**2)*(3 + 4 - 3))*(13 + 23 + 32) to the form m*d**2 + p*d + c and give m.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -0.1544 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74*n**4 + 3603*n - 1063652?\nAnswer: 296*n**3 + 3603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 - 4.1. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.41 to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*n - 15 = -8*n, -10*q + 12 = 4*n. Factor q - 21\/8*r**2 - 3\/4*r.\nAnswer: -3*r*(7*r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let d(v) = 115*v + 28. Determine d(f(z)).\nAnswer: 115*z**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11097730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 9*r + 7. Let v(h) = -3*h**3 + 7*h**2 - 3*h - 2. Let z be v(2). Does 7 divide g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lllslllllllll.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*m + 63, -z + 13 - 78 = 5*m. Sort -2, m, 5.\nAnswer: m, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 11 = -3*w, -m + 6 = -3*w - 1. Suppose -148 = -5*r - 5*o - 3, o = 4. Suppose 4*l = -l + r. Solve -18 = -i + 4*t, -l*i - 14 - m = t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) - 1*sqrt(104)*3 - sqrt(104))) + -2*sqrt(104)*1)\/(sqrt(128)*3 + (sqrt(200) + sqrt(8))*-6).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 3)\/4*18\/36. Solve 4*i + 18 = -i + 2*k, f = -5*i - 3*k - 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 4:59 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 + -80. Let c = -56.9973 + u. Round c to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 121830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) -1\/15 (b) 7\/10 (c) 1 (d) 13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbe when three letters picked without replacement from ssscsbsyssebsy.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -37*x**3 - 5*x**2 + 3*x + 6. Let i be d(-2). Let v = i - -63. Is v a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - n + 2. Suppose 2*l = 4*l. Let g be u(l). Factor 6*r**2 + 2*r**5 - 6*r**4 - 2*r**3 + r**3 - g*r**3 + r**5.\nAnswer: 3*r**2*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - j**2 - j**2 + (-j - 3*j + j)*(1 - 1 - j) + 336*j**2 - 691*j**2 + 341*j**2 + 11*j to the form f + h*j + s*j**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -487, -410, -333, -256, -179?\n\"Answer: 77*t - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*j - 64 = -90*j. Let n = 25 + j. Let c = -2 - -3. Calculate the greatest common factor of c and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*f = -20, -63*j + 62*j = 3*f + 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.0193\nAnswer: 0.0965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -87, -4, 4.\nAnswer: -87, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 205 = -3*r. Let i = 510 - 530. Let b = i + r. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.00014 + -39. Round u to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14601\/(-5859))\/(-157)*(-42)\/(-4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11573 + -11573.082072. Round j to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -38?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 5:38 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 25*t - 17. Suppose -2*v + 60 = 2*v. Is s(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79.55912886 + 79.44013. Let o = -0.119 - j. Round o to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -0.04 (b) 11 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -36. Let s(i) be the second derivative of 0*i**2 + 0*i**5 - 1\/15*i**6 + 0*i**3 - 1\/6*i**4 + 3*i + u. Find the third derivative of s(j) wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {a: 5, d: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -94, -3, 2.\nAnswer: -94, -12, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqtactqctqtvc. What is prob of sequence tt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*t + 88*t = -2*x + 14, -2*x = -t + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 - 67*d**2\/5 + d\/5 + 67\/5.\nAnswer: -(d - 1)*(d + 1)*(d + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 791*c = -790*c - 650, -5*x = -3*c - 804. Let n = -71 - -125. Calculate the highest common factor of n and x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -89.1. What is the second biggest value in -3, x, 1\/7, 2\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6600 divided by -3300.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 15) to base 5.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c + 714 - 1317 = 3609 for c.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 438, 874, 1310?\n\"Answer: 436*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4615)\/78)\/71)\/(3*(-2)\/(-12)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqnffnh. What is prob of picking 1 f and 1 h?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:53 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3033803079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -302. Is x a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 439.38153 from -2.\nAnswer: -441.38153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**3 + 15*x**2 - 14*x - 46. Let t(f) = 5*f**3 + 7*f**2 - 7*f - 23. Let j(d) = 4*a(d) - 7*t(d). Is 37 a factor of j(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1527 + 2298. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-9)\/(-189))\/(1\/14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-996)\/108 + 2*(-1)\/(-9). List the prime factors of (-325)\/(-4) + v\/36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300202003211 - 2?\nAnswer: 300202003203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.5495 - -1.9865. Round i to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0156 - -12.0156. Sort -0.4, -3\/8, -5, o in decreasing order.\nAnswer: o, -3\/8, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/537 + -10259\/3759. Let b = -6091\/1790 + 1\/358. Calculate the common denominator of p and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**4 - 96 + 16*i**4 + 10*i**4 - 7*i**4 - 115 wrt i.\nAnswer: 88*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39404035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.13212 rounded to 3 decimal places?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56702 is divided by 14125?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 6. Let m be -3*((-8)\/32 + 25\/(-12)). Suppose 56 = l + m*l. What is p(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 44. Let k(b) = -268*b + 27*b + 244*b. What is k(j(q))?\nAnswer: 3*q**2 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Let g = 472 - 456. Put k, g, 3, 5 in decreasing order.\nAnswer: g, 5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 617844378, 617844380, 617844382, 617844384?\n\"Answer: 2*p + 617844376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t - 8840. Let i be t\/(-28) - (-2)\/(-14). Let g = i - 42. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716 is divided by 471.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1060884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (-2*sqrt(204)*2)\/(sqrt(1452) - (sqrt(1452) - (sqrt(1452) + (2*sqrt(1452) - sqrt(1452))))))*-1*2.\nAnswer: -12 + 24*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 + 4*w - 4*w + 5*w**2. Let d(h) = -6*h**2. Determine d(y(c)).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2900070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26286868.8 rounded to the nearest one thousand?\nAnswer: 26287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g + 0)*(8*g**2 + 3*g**2 - 6*g**2) + g**3 + 2*g - 2*g.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.07 (c) -10.4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 124*f**2. Let d(j) be the second derivative of -j**3\/3 + 166*j - 5. Give d(b(w)).\nAnswer: -248*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/4 - 11*m**3\/4 + 21*m**2\/4 + 99*m\/4 - 27 = 0. Calculate m.\nAnswer: -12, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-78)\/117 - ((-113604)\/9)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.1, -93140?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/378)\/((-198)\/891)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and 0.15.\nAnswer: 9.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 399974.1 + -0.221.\nAnswer: 399973.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 28, 968\/9, 2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*m - 5*v + 4, 3*v = 5*m + 64. Let u = -8 - m. Suppose -b + 5*i + 3 - 10 = 0, 2*b + 4*i = 28. Calculate the remainder when b is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.185775 and -69.\nAnswer: 12.818475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 1 + 1)*(-2 + 14 - 1)*(0 - 2 - 5*m - 15*m) - 3*m**2 - m**2 + 3*m**2 + (-2*m + 0*m - m)*(2*m + 0*m + 0*m).\nAnswer: -667*m**2 - 66*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(5 + o - 5)*(-3*o + 5 - 5)*(40*o - 40*o + 3*o**2).\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/40608 and 65\/13024.\nAnswer: 16527456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2221, -17703, -59727, -141565, -276489?\n\"Answer: -2212*t**3 + t**2 - t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 225*b + 1372. Is 54 a factor of r(44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-273)\/(-36) - 6\/(-8)*184\/1656).\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**3 + p**2 + p + 1. Calculate a(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 65*x + 1343. Let y be o(15). Calculate the highest common factor of y and 912.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Let y(k) = -4*k**2 + k**2 - 1 + 2*k**g + 6*k. Suppose 0 = 2*t - 3*u + 77 - 74, -19 = t - 5*u. Give y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 18 - 782. What is the remainder when c is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 67*k + 68*k - 15 = 0, 0 = -5*i + 2*k - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6154000 divided by -340?\nAnswer: -18100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1994850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 12*k + 20. Let g(w) = 3*w + 40 + 28*w + 5*w**2 - 8*w - 8*w**2. Let i(u) = 3*g(u) - 7*s(u). Factor i(b).\nAnswer: 5*(b - 4)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1836 and 210732.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/2 + 3*l**2 - 11*l\/2 + 3 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4179 by 1.\nAnswer: 4179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 12\/5*t**2 - 2\/25*t**5 + 9\/10*t**4 + 0*t - 233 - 8\/3*t**3. Factor l(j).\nAnswer: -2*j*(j - 6)*(j - 2)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 30 = 11*a. Let p(g) = 8*g**2 - 2*g + 2. Let i(o) = o**2 - o. Determine a*i(t) - p(t).\nAnswer: -5*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4880*c**2 - 17243 wrt c.\nAnswer: -9760*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r - 89\/120*r**6 + 0*r**5 + 0*r**3 + 0 - 163*r**2 + 29\/24*r**4. Find the second derivative of j(q) wrt q.\nAnswer: -534*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 7*l + 8. Let j be g(6). Let n be -8672 + (-1 + j)*-4. Let q = n - 624. Round q to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31063 + -6521?\nAnswer: 22342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/2 (b) -1 (c) 14 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26622\/7 + 1703791\/448. Calculate the common denominator of f and -73\/4.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + sqrt(39)\/sqrt(3)*-1 - (sqrt(130) - sqrt(130)*2 - sqrt(130))\/sqrt(10)) - ((sqrt(390)*-1)\/sqrt(10))\/(-6*(sqrt(27) + sqrt(3))))*6.\nAnswer: 287*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 1 - 0) + (3 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1\/3 (b) 148860 (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 65*n**2 + 778*n - 22. Give b(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 13, v: 6}. What is prob of picking 2 l?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -424755376 plus -6.4?\nAnswer: -424755382.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:01 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 6*p - 3. Let a be d(6). Let y be 1\/(-3) - 10\/a. Suppose 0 = -y*h - 4 + 34. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k + 1. Let m be f(1). Suppose -d = -2*d - 5*w + 2, -2*d + 5*w + 4 = 0. Solve -v = 5*p + 10, -m*v - 2 = -d*v + p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 99*a**2 - 882*a - 112. What is y(9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24109164 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 + 1074*v**2 + 255261*v - 256332 = 0. Calculate v.\nAnswer: -164, 1, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 380 + -389. What is the common denominator of 5\/8 and (1888\/264 + r)*(-3)\/(-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126389\/128 + -287\/384. Let p = -986 + x. Determine r, given that r**2 + 5\/3*r + p = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-24)*(-5025)\/(-2680)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 10 = -5*h - 3*q, 0 = h + 2*q - 2. Suppose 26 = -h*k + 30. What is the lowest common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l + 8. Let b be (-3)\/(((-3)\/4)\/(-1)). Let h be f(b). Let z(t) = t**3 + 2*t**2 + 16 + 2*t**2 + 3*t - 12. What is z(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 5*o**2. Let u(z) = z. Let t be u(3). Suppose -4*p + h + 17 = 0, 0 = t*p + 4*h - 8. Is y(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1 + 26 = 0. Suppose -5*s + 2*c = -c - 587, -5*s = -o*c - 595. Is s a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -41. What is the third derivative of -19*u**2 + 19*u**f - 10*u**3 + 12*u**2 wrt u?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8687 and 735252.\nAnswer: 912447732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 1 t when three letters picked without replacement from tvvbttotutgovvvoootv?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*h**2 - 428738\/9 - 1852\/9*h.\nAnswer: -2*(h + 463)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/1)\/(20\/(-1)). Let q = -416 + 416. Is x equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 28. Let w be l(12). Sort 6, w, -2 in descending order.\nAnswer: 6, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by (-54)\/81 - (-137)\/3.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**2 + 1625 - 3252 + 1627. Let f(w) = 2*w - 2. Let c(t) = 2*t - 3. Let s(m) = 2*c(m) - 3*f(m). What is s(y(l))?\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**6 + 3*l**5 - 10*l**3 - 817*l**2 wrt l?\nAnswer: -1200*l**3 + 180*l**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*273\/26)\/(19\/19)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89*o + 228 wrt o.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122.889 + -123. What is j rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/72 + 14\/(-72). Let m be 12\/(-30) + 7\/5. Which is the closest to -2? (a) o (b) m (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - f**2 + 0*f**2 + 1715 + 821 - f**3.\nAnswer: 4*f**3 - f**2 + 2536","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 331*b**3*f**3 + 15*b**3*f**2 + 101*b**3 + 204*b**2*f**3 + 11*b**2*f**2 - 296*b**2 wrt b?\nAnswer: 1986*f**3 + 90*f**2 + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(528)*1 - sqrt(528)))\/(sqrt(147)*1).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -17 + 12 - 3*j - 2*j - 16. Let u be w(-4). Let s(f) = -1 + f - 10*f + 4*f. Calculate s(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 355406 and 355407 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnq when three letters picked without replacement from nnnnqqqqnnqnq.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/(117\/12). Let m be (-10)\/(-25) - 74\/10. Let s = m - -27\/4. Which is the second smallest value? (a) s (b) 0.02 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1824\/(-266))\/(312\/105 - 3). Let f = -643 + 651. Calculate the greatest common divisor of f and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 8*u - 352 = 82*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*d - 201*d = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 51204*p - 102404.\nAnswer: -(p + 2)*(p + 51202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l. Suppose 3*i + 4*c - 2 + 9 = 0, -4*i + c = -16. Let h(w) be the first derivative of 0*w + 2\/3*w**i + 6 + 0*w**2. Calculate h(o(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1210331013 + 2021?\nAnswer: 1210333100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*k - 4*k - 190, -3*c = 3*k + 135. Let j(o) = -o**2 - 53*o - 145. Let s be j(c). Let r be (-10)\/(-6) + (-1)\/(-3). Solve r = s*a - 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 34*h**2 + 6*h - 6. Let o be m(1). Find the second derivative of -4 + 4 + o*w**2 + 20*w**2 + 3 - 10*w wrt w.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -149. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*j + 22 = 13, a - 6 = 2*j. Suppose 2*z = -z + 4*v + 14, -4*v - a = -2*z. Which is smaller: z or 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 113 - 122 + 235.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 3}. What is prob of sequence ssj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c**2 - 1795 - c - 1764 + 3561 + c.\nAnswer: -33*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 + -0.1. Suppose 29*w + 19 - 106 = 0. Suppose w*j - 11*v = -10*v + 2, -5*j = -v. Put t, -0.3, j in decreasing order.\nAnswer: t, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -712653 times 19?\nAnswer: -13540407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g - 72. Let i(r) = 42*r - 244. Let u be i(4). Let o = u - g. Which is the fourth smallest value? (a) 2 (b) -0.4 (c) -0.05 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1536321, 3072760, 4609199, 6145638?\n\"Answer: 1536439*n - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**2 - 166100*v + 332234. Calculate t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-4 - (-11)\/2). Let l(c) = 3*c**2 - 3*c**2 - 2*c**2 + s*c**2. Let o(b) be the third derivative of -b**5\/30 + b**2. Give l(o(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.36 and 0.3.\nAnswer: -4.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69800 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77889074353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m. Let h(w) = -3*w. Let r = 2 + -6. Let c(y) = r*i(y) + 7*h(y). Let t(d) = 3*d. Give t(c(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25*(-126)\/4200)\/(84\/16).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h. Let k be l(5). Let m be 3*(k\/4)\/(-15). What is the closest to m in 0, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/120 + x**4\/24 + x**2. Let r be y(1). Suppose -5*v = -15, -5*u + 3*v + v + 8 = r. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421266?\nAnswer: 2, 3, 61, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/(-4)*-2*-18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0)\/(7\/7). Let a be 2\/(-3) - 23\/(-3). Suppose -2*f - 60 = -a*f. Solve -3*w + 0*w + f = d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3*l**4 + 1 - 3 + l**2 in the form t*l**2 + x*l + q*l**3 + z*l**4 + u and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181840 by 5.\nAnswer: -36368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -132081769*z - 83459388 with respect to z.\nAnswer: -132081769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3648)*4 - sqrt(3648) - sqrt(3648))\/(sqrt(300) + -4*sqrt(300)) + 1.\nAnswer: -8*sqrt(19)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by (-121)\/(-5) - 15\/75?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/16)\/((-5)\/2)*-5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 124.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-6))\/((-6)\/54). Suppose 0*k = -2*k + 2*t - 50, k + p*t = -25. Round k to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 416 and 28626?\nAnswer: 458016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1490\/7 + 1492\/7. Which is the fourth biggest value? (a) 35 (b) -2 (c) -2\/5 (d) i (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62748132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -281261*l - 487871 wrt l?\nAnswer: -281261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/45 - (-1)\/3) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 8*l + 24. Determine g(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -23.21, -10 in ascending order.\nAnswer: -23.21, -10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*r**3 + 0)*(-6*r + 0*r - r) + 0*r**2 + r**4 + 0*r**2.\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7956 by -30.\nAnswer: -1326\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 11:29 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 3:33 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -11. Let r(p) = p**3 - 4*p**2 + p - 1. Determine r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*c**3 - 14*c**2 + 2*c + 128*c**3 + 5*c**2 as n*c**2 + k*c + q*c**3 + i and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -505 - 2024433?\nAnswer: -2025342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9*s - 78. Let h be b(9). Suppose -2*m - 5*l = 19, 0 = -24*m + 27*m - 4*l + 17. Sort h, m, 1.\nAnswer: m, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 20313 = 2145. List the prime factors of r.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 11*y**2 - 9*y + 15. Let b be m(-10). Suppose 4*o = b*o. Suppose -u = l - 0*u - 4, -3*l = -4*u + 9. Sort o, 4, l.\nAnswer: o, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbze when four letters picked without replacement from {e: 4, b: 8, z: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 6*f**2 + 2*f - 5. Let q be a(6). Suppose -q*c + 4*c + 141 = 0. Suppose -3*i + 136 = -b, -2*i + i = -2*b - c. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*c**2 + 20*c**2 + 57*c**3 + 1 - c - 18*c**3 - c**4 - 42*c**3 in the form m + l*c**4 + v*c**3 + n*c**2 + o*c and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2)\/sqrt(11))\/sqrt(4) + (3 + 2*sqrt(200))**2.\nAnswer: 122*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 42. Let v be i(-40). What is the first derivative of -m**2 + 2*m**v - 15583 + 34*m**4 - 2*m**2 + 15832 wrt m?\nAnswer: 136*m**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - -7. Let q(z) = -z**3 + 26*z**2 - 2*z + 62. Calculate the remainder when l is divided by q(26).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let l = 0.9 + n. Let m = 947 + -947.5. What is the closest to l in m, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - 1. Let v = f + -5.6. Let n be 5 + ((-39)\/4)\/(42\/24). Put -0.4, v, n in increasing order.\nAnswer: v, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + (-86 - -43) + 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**3*p**3*t + 40397*b**3*p**3 + b**2*p**2*t + 2*b**2 - 2*b*t + 125736*p**3 wrt b.\nAnswer: 24*p**3*t + 242382*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2. Let g(l) = -4*l - 3. Let m(r) = -r - 1. Let d(v) = -g(v) + 3*m(v). Give d(w(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 16 + 6. Let f = -2 + j. Let i be 1\/(-4) + f\/(-36). Is -1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477574593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -35*c**4\/24 - 281*c**3\/6 - c**2 - 2. Differentiate d(w) wrt w.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 527, 2308, 5277, 9434, 14779?\n\"Answer: 594*y**2 - y - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 706 and 57699262.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16*h + 23*h**2 + 13 - 18*h**2 + 0*h. What is the hundreds digit of w(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - 5\/((-10)\/4). Let g be (n + (-2)\/(-2))\/(-1). Suppose 4*p + g*l - 420006 = -0*p, 3*l = -4*p + 420009. Round p to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54165, 54197, 54253, 54345, 54485, 54685, 54957, 55313?\nAnswer: 55765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 1, b: 1, k: 2, v: 1, p: 1}. Give prob of sequence yp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (73 - (9 - 18 - (14 - 34)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -63)*(-2 - -55). Let b(y) = 100*y**2 + 10*y + 3. Let x be b(13). Suppose 0 = -2*i + x - t. What is i rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -1474*r + 1482*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2731 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 6*c**2 + 5*c + 3. Let f(b) = -b - 15. Let q be f(-8). Is 17 a factor of i(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1, -g = 2*b - 3 - 1. Find the third derivative of 2 - 7*z**4 - 4*z**2 - g + 0 wrt z.\nAnswer: -168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*j - 4*j + 4*b, -j - 5*b + 6 = 0. Suppose 3*c - 12 = 2*h, -j = -c - 3*c - 5*h. What are the prime factors of (187\/(-4))\/((-1)\/c)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 36*m**2 + 535*m - 1632. Determine y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mammammomdaxxxab. Give prob of picking 1 b and 1 a.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 95*f + 170.\nAnswer: 5*(f - 17)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 - 15 + 100*k + 27 + 220*k to the form o*k + g and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -21*w - 24. Solve -h = -4*g - 6, w = 4*h + 5*g - 5 + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {p: 6, m: 1, j: 1, n: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 1. Let x(b) = -b**2 + 2*b + 4. Calculate x(f) + 3*y(f).\nAnswer: -f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m - 5. Let w be u(-4). Let o(i) = 11 + 34813*i - 34837*i - 11*i**2 + 5*i**2. Let r(z) = z**2 + 5*z - 2. Give w*r(p) + 2*o(p).\nAnswer: -p**2 + 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3 + 2175*b**2 - 19060*b - 46860 = 0. What is b?\nAnswer: -2, 11, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -6)*(-1 - 0). Let k = -475 - -473. Sort k, q, 0.\nAnswer: k, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -103. Let z = 63 + p. What is the greatest common divisor of 70 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 48288 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*r + 0*d - 54 = -d + 422, -2*r + 47 = -3*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 211184 smaller than -8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 624 + 215. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 42 = -4*z - 2, 0 = x - 2. Let y = z + -7. Solve -p + 9 = y*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -13 - -3) + (5 + 4 - 11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l + 36. Suppose -4*o + 3*p = -339, -5*o + p + 4*p = -420. Let f = 84 - o. Which is the smallest value? (a) f (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2193 + 2245 = 0 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*x**2 - 3*a**2 + a*x**2*y + 2*x**2*y**2 + 10*y**2 - 1 wrt x.\nAnswer: 4*a**2*x + 2*a*x*y + 4*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 8 + 7)*(-4*c**2 + 3*c**2 + 4*c**2)*(0 - 2*c + 0)*(-1 + 1 + 2).\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p - 3. Let s be i(-7). Let d be (13000\/s)\/((-2)\/10440). What is d rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 2 - -1*6. Let m(j) = -j + 24. What is the remainder when 62 is divided by m(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjvjfjjjjjjfvvj. Give prob of sequence jvf.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260 and 183170?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*s + 82*s = 129*s - 37355. Which is smaller: s or -3611\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-22) - (-126)\/(-154))*0. Let t be x*(50\/(-15))\/10. Factor -15\/2*a**4 + 0*a - 25\/2*a**5 + 0*a**3 + t*a**2 + 0.\nAnswer: -5*a**4*(5*a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + (-5 - -2) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33.8 (b) -0.2 (c) 1\/8 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390917 and 1724?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -193, -30, -3, -5, 77, 3.\nAnswer: -193, -30, -5, -3, 3, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21a + 3?\nAnswer: 21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/2, 0, 1, -0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 263465*j + 2898113. Calculate w(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14333, 14197, 14061?\nAnswer: 13925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 3804.\nAnswer: 15216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*m + 484*m + 1073*m + 596*m + 2*m**3.\nAnswer: 2*m**3 + 1905*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 16. Let p = 0.01 - -4.49. Let v = x + p. Which is the third smallest value? (a) v (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n + 106*n - 352 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*c - 3179132 = -163*c + 2869466. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1*(-1)\/2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532814361.\nAnswer: 3, 29, 6124303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**6\/90 - 3*w**5\/5 - 27*w**4\/2 - 2*w**3 - 7*w**2\/2 + 107. Let h(c) be the third derivative of b(c). Factor h(g).\nAnswer: -4*(g + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 1172470?\nAnswer: 8207290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + -11381?\nAnswer: -11404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 260969888?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3242688252546+-8\nAnswer: -3242688252554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2. Let z(i) = i**2 + 6*i + 2. Calculate -2*j(x) + z(x).\nAnswer: 3*x**2 + 6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -113411?\nAnswer: -113434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-10 - 7) - (-18 + -19 - -26)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 237, 349, 567, 927, 1465?\nAnswer: 2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -256\/15 >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.178 rounded to two decimal places?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*r + 1 = 155*r. Sort r, -87, -3 in descending order.\nAnswer: r, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -264\/13 in 14, -1\/3, -1, 1\/7, -5\/3, 28?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n - 4. Let f = 2 - 4. Let z(g) be the third derivative of -g**4\/8 - g**3\/6 - 52*g**2. Calculate f*t(q) + 9*z(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihh when three letters picked without replacement from {i: 8, h: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 805 and 188140?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 14467?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**3 - 14*p**2 - 18*p - 5. Determine t(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 9543716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7130 + -3869. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 48 = -5*y. Calculate the greatest common factor of 80 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3697 divide 334247260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2))**40\/(y**0)**(1\/38) assuming y is positive.\nAnswer: y**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4627\/6 + 796. Find the common denominator of -89\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 0*a**2 + 0*a**2)*(-1 + 2*a + 1) + 2*a**3 + 8*a**3 + 9*a**3.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 39*k**3\/2 + k**2\/2 - 181*k - 113. Let a(w) be the first derivative of s(w). Let j(d) = -2*d. What is j(a(x))?\nAnswer: -234*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) - -8*(4 - 3). Let a be 4\/14 - o*(-23)\/(-35). List the prime factors of 872\/6 + 4\/a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2019 - -6244?\nAnswer: 8263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68\/5? (a) -5 (b) -1\/7 (c) 0.055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + -0.38. Let f = -6.17 + 0.17. Which is the closest to -1\/2? (a) 2\/9 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 951336 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: Put 5, 0.5, -1.1, 21 in ascending order.\nAnswer: -1.1, 0.5, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1048110 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -3*u - 31. Let i = 21 + -9. What is the highest common divisor of i and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, 3, 29, 89, 195?\n\"Answer: 2*d**3 - d**2 - 7*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 145*l**8\/336 + 7*l**4\/24 + l**3\/2 - 43*l**2. What is the second derivative of b(n) wrt n?\nAnswer: 2900*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54800 divided by -80?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) - sqrt(11))*-5 + sqrt(11) + sqrt(11)*-2*-6 + sqrt(11) + sqrt(99)*2 + sqrt(11) + sqrt(176)*-2.\nAnswer: 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 25 - 28 = 0. Factor -8*p**3 - 4*p + 6*p**3 - 2*p**2 + 4*p**s.\nAnswer: 2*p*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2298*f**3*s**2 - 1641*f**2*s**2 - 2129*f*s**2 + 58*f*s + 2*f - 6*s wrt f.\nAnswer: 13788*f*s**2 - 3282*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let v(g) = g**2 + 4*g - 3. What is the units digit of v(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9041 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 101*v - 87*v - 12278. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 + -1 + 9. Suppose 2*s = -16 + m. Put s, 5, 0 in increasing order.\nAnswer: s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04168 + -27.04832. Let b = -33.542 - p. Round b to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/7 - (-9)\/(-21). Suppose -12292 + 39277 = -3*p. Let x be -3 + p + (-4)\/o. What is x rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13936582 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -3, -2\/15, 1\/6, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44\/21 - 3\/7. What is the biggest value in 3\/2, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24208 + 24207.85385. What is f rounded to 3 decimal places?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 16 - 6 = -5*m, 5*m = 3*q - 2. Let u = 56054.6 + -56055. What is the biggest value in -3, m, u, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 49. Suppose -y - 16 = -s. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3) - -3) + -2 + -2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117077 + -39764. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 38*q. Let v(k) = 3*k - 4. Let s(h) = 4*h - 5. Let w(g) = -4*s(g) + 5*v(g). Calculate u(w(a)).\nAnswer: -a**2 - 38*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*f + 124, -2*f + 119 = -3*b + 33. Suppose -4*c = -r - 15, 2*r - 2*c = -2*r - 88. Let o = r - b. Is o smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Suppose 4*d - 88 = -5*w, -3*w - l*w = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 2*f - 18. Let i be r(-8). What are the prime factors of (-3)\/(1 - 65\/i)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.06, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/57 and -41\/306.\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 5*i - 9. Let w be (3 - 2 - -13)*12\/i. Let o be (-96)\/(-2*(-6)\/(-8)). What is the greatest common divisor of o and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32228 and 28?\nAnswer: 32228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2*1\/6*(-45)\/30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 39. Suppose -5*p - 30 = z. What is the units digit of (-371)\/p + (-15)\/40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 4*b = -13*z + 46021, -3*z = -b - 27614. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 3*u**5\/20 - 4*u**3 - 16*u. Find the second derivative of n(z) wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127.714 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(40\/24 + (-2)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7004302 and 298.084?\nAnswer: 7004600.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0*v**3 + 0*v - 4*v**2 - 1\/90*v**5 + 0 + 1\/36*v**4. Factor d(h).\nAnswer: -2*h*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -1 + 1 + -1. Suppose 0 = -2*d - 0*d + 8. Suppose 5*b + d*i = 13, -w*b + 4*b - 3*i + 7 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:55 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2173345825 - -2173345790.99999971. Let p = c + 34. What is p rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612093749 a multiple of 439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + t**2 + t + 3872. Let b be v(0). What is the highest common divisor of b and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 2*h**2 - 4*h**2)*(5 - 5 + 2*h**3) + 0*h**5 - 3*h**5 + 2*h**5 - 126 - 6*h**5 - 164*h**5 + 124.\nAnswer: -183*h**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230 - 232. Let r be (-988)\/(-20) - v\/(-5). Calculate the highest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5 + 62*x + 65*x - 251*x + 61*x + 62*x. Let m(d) = 4*d - 15. Give 14*i(a) + 4*m(a).\nAnswer: 2*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84.919 - 85. Let n(k) = k**2 - 80*k + 700. Let p be n(70). Is h at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.794, -1, -2\/7, 3\/2, -0.5, -4\/3, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42 - 15*t + 15*t - 26*t wrt t?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**6\/180 - b**4\/24 - b**3\/2 + 2*b**2. Let d(j) be the first derivative of z(j). What is the first derivative of d(q) wrt q?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -35. Solve c + 5*v = i - 1, -v + 16 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 8254984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o + 338. Find the common denominator of p(37) and 53\/124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 13. What is the third derivative of -5*k**5 + 5*k**5 - 4*k**5 - 2*k**w + 0*k**2 wrt k?\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-6)*(3 - 0). Let u be 4\/(-4) + 1 + 0. Suppose 4*d = 64 - u. Calculate the greatest common factor of d and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by -66.\nAnswer: -61\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5 + (192\/45 - 5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 107*v - 530. Let j be n(5). What is the biggest value in 4, -3, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1458 and 236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14449 + -9521. Is 4927 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68331 or 68145?\nAnswer: 68145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 252*s**3 + 3*s**2 - 2*s + 61. Let j(b) = 755*b**3 + 9*b**2 - 6*b + 183. Let u(v) = 4*j(v) - 11*z(v). Find the second derivative of u(i) wrt i.\nAnswer: 1488*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8049266 + -0.0459.\nAnswer: 8049265.9541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*h - 1. Let x be h - (-4 + 0)*-1. Let s(k) = -3 + 11*k**2 + 0 + k - 10*k**2. Determine s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + 2*k - 3*k - 4*k - k + 4*k + 2*k - 2 + 2 + (-k - 2*k + k)*(1 - 1 + 2))*(100 + 20 - 30) as j + z*k and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 5 - (-5 + -3). Suppose 4*r - 17 = -5. Suppose -r = -w - d. Sort w, 2\/9, 0.3, 1\/4.\nAnswer: w, 2\/9, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 291*x**3 + x**2 + 2*x - 2. Let t be j(1). Suppose k = 2*k - 164. Let w = t - k. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 20*c - 15*c. Let b be (c\/5)\/((9\/5570)\/3). Suppose -13*d = -11*d - b. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13 + 0.03. Let k = 43 - 46. Which is the nearest to x? (a) k (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1098*g - 2175*g + 1168*g.\nAnswer: 91*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 893369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -11. Let w be (-1)\/(1\/3) - q. Solve 0 = w*d - 5 + 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) -1 (b) 11\/2 (c) -0.2 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**4\/8 + 52*l**3\/3 + 2*l**2 - 140. Let p(f) = f - 35. Let h(r) = -6*a(r) - 17*p(r). Determine h(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002214 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2054354*n**4 - 2475316?\nAnswer: -8217416*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -194, -161, -32?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 44*c - 4518. What is the smallest common multiple of 15 and o(105)?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**2\/2 + 8*i - 3. Is 6 a factor of t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7.796059 (b) -1\/2 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4293*f**3*h**3 - 3*f**3*h**2*u - 35*f**3*h**2 - f**2*h**3*u - f**2*u - 7*h*u wrt h?\nAnswer: 25758*f**3 - 6*f**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 5\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 + -19. Suppose 0 = 4*l + 2*g - y, -l - 10*g + 24 = -13*g. Calculate the greatest common divisor of l and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2918, 2925, 2944, 2981, 3042, 3133?\nAnswer: 3260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1088, 1103, 1144, 1223, 1352, 1543, 1808, 2159?\nAnswer: 2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3567*a + 3589*a - 151, 4*a = v + 28 + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -15*w**4 - 160*w**3 - 120*w**2 + 25*w - 25. Let j(i) = -2*i**4 - 20*i**3 - 15*i**2 + 3*i - 3. Let z(s) = 25*j(s) - 3*y(s). Factor z(k).\nAnswer: -5*k**2*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a hour in seconds?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -11\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 69933\nAnswer: 27973.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sncwmznz. What is prob of picking 2 z and 1 m?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 36 - 41 + 143 - 53. Calculate h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -32, 1222, 2.9, -2\/13, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -443*g + 9. Let d(h) = 222*h - 5. Calculate -11*d(s) - 6*p(s).\nAnswer: 216*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*2\/(-3). Suppose 0 = -5*v - d + 56. Suppose 1 = 2*m + 2*q - 3, 4*q - v = -5*m. Solve m*j - 6*j - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-12 - -27) - (0 + -3 - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 5. Let z be w(5). Suppose z = -5*c + c + 20. What is f in f**4 - f**2 + f**3 + 3*f**4 - f**c - 3*f**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.4, 38, 1, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*o**5 - 480*o**4 - 508*o**3 - 120*o**2 = 0. What is o?\nAnswer: -3, -10\/9, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*z = -3*z + 1, -1 = -h - 2*z. Let i(k) be the second derivative of -k**5\/2 + k**4\/12 + k**3\/6 - 54*k. What is i(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 4*q, -2*a + 3*q = -504. Let k = 403 - a. Suppose -2*o + k = 2*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*z + 29898 = 107*z + 247*z. Put -0.06, 4, z in decreasing order.\nAnswer: z, 4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:46 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 445 = 4*o - 177 - 222, 35 + 75 = -5*k + 4*o for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28140156 divided by 260557.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - 1*(sqrt(26)\/sqrt(2) - sqrt(13)) - sqrt(156)\/(2*sqrt(12)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50.08 + -51. Let o = j + 0.9274. Round o to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7) + sqrt(28)) - sqrt(95)\/(sqrt(25)\/sqrt(5)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 14*g = -6*g. Solve g = -4*z + 51 - 35 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 36, 36, 42, 54?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - -360. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/376 and -4\/329.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/10 and 327\/(-12) - (2 + (-5 - 0)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8122980.\nAnswer: 2, 3, 5, 37, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0035084 + -1.921\nAnswer: -1.9245084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 + 5115*k - 618582 = 0.\nAnswer: 131, 1574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 49, 63, 81?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36755295 and 96?\nAnswer: 1176169440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41757 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 9\/4, 1\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (2 + (sqrt(75)*1)**2 - 6*(sqrt(75) + 2 + sqrt(75))) + (sqrt(75) + 1*sqrt(75)*3 - (sqrt(75) - (-1 + sqrt(75) + -3)))**2).\nAnswer: -7656 + 1320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99940755 divided by 33313585?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, 4, -0.5, -125?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.9 - 10. Let k = 0.267632 + 0.032368. What is the third biggest value in -0.1, k, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24 + -26)\/(1 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*j - 4512070 = 0, -2*d - 2*d + 5*j = -3609665. Suppose 2*x = -x - d. Let b = -426805 - x. What is b rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v - 16. Suppose -2*m - 15964355 + 73164347 = v*y, 5*y - 71499988 = -3*m. Round y to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, -3, 73714.\nAnswer: -164, -3, 73714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**4 - n**3 - 2*n**2 + n + 1. Let k = 13 - 12. Let z(i) = i**3 - i**2 + i + 1. Let m(c) = k*z(c) - u(c). Factor m(p).\nAnswer: p**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*sqrt(5)*1 + (sqrt(495) - sqrt(55))\/sqrt(11))*-6 + 3 + -2.\nAnswer: -4 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(7))**2 + (-2 + sqrt(2) + -1 + sqrt(2) - sqrt(2)) + 1*(-2 + (sqrt(8))**2).\nAnswer: sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 78, 139, 238, 393, 622, 943, 1374?\n\"Answer: 3*s**3 + s**2 + 37*s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + q - 4, 95*q = -4*s + 93*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81.11 - 1.89. Let n = 78 + x. What is the biggest value in 1, -0.1, n, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 6*d + 2*w + 50242 = 0, -10050 = -d + 2*w. Is d a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 3*h - 36, 4*y - 14198204*h + 14198209*h = -12 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 - 17*v - 40 - 4*v**2 + 28. Let d be j(15). Let u = d - -56. What is the remainder when 39 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*i + 1080, 2*v - 82 = -5*i + 1003. Suppose i*b - 332 = 214*b. Is 31 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 + -165. Solve -x*s + 3*s = 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 50, 118, 212, 332, 478, 650?\n\"Answer: 13*w**2 + 3*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 13*i + 13. Determine l(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 122881?\nAnswer: 24576.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -7*v**5\/12 + v**4\/2 - 24*v**2. Find the second derivative of l(r) wrt r.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**3 - 2*g**2 + g + 2. Let o(r) = 16*r**3 - 6*r**2 + 4*r + 7. Give -2*o(h) + 7*s(h).\nAnswer: 3*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 264, 484, 700, 912, 1120?\n\"Answer: -2*g**2 + 226*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2535, -2489, -2445, -2403, -2363, -2325?\n\"Answer: -n**2 + 49*n - 2583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260075937?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/63? (a) -1 (b) 4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 340*c**2 + 5*c + 9. Let r be k(4). Let o = r + -3108. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 27. Let t be p(-8). Let k = -8 - -6. Let r(l) = -13*l**3 - l**2 - 1. Let o be r(k). What is the highest common factor of o and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**4\/12 + 5*b**3\/6 + 2*b**2 - 11*b. What is t(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/6151752 and 73\/120?\nAnswer: 30758760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11011, 44032, 99067, 176116, 275179, 396256, 539347?\n\"Answer: 11007*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100100 + 1000010010011?\nAnswer: 111110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*p - 0*p. Let u be (3\/p)\/(3\/1). Let v = -3901 - -3856. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*i = -0*j + 195, 20 = -4*i. Let a be j\/(-48) - 67\/(-4). Calculate the highest common divisor of 40 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-24)*(21 + -5 + (3 - 1)). Solve 11*x + 16 = a*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -15140.35?\nAnswer: -15140.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4\/(-6)*(-420)\/(-280).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.924 - -0.076. What is the smallest value in -1\/7, s, 0.5, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plpl. What is prob of picking 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 16. Let w(b) = -1. Let v(f) = a(f) - w(f). What is the lowest common multiple of v(-12) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 8 + -6 + 1 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -10\/7, 4\/9 in descending order.\nAnswer: 4\/9, 0.2, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3855134.8 rounded to the nearest one thousand?\nAnswer: -3855000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*y - 651*y**2 - 4 + 33*y + 31*y - 116*y.\nAnswer: -651*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46, -23, 46, 185, 418?\n\"Answer: 4*j**3 - j**2 - 2*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.3 (c) -13 (d) -3.426\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3993268.1 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, 2 in descending order.\nAnswer: 11, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/10 + 11248*g\/5 - 382721\/10 = 0.\nAnswer: -22513, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165177 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qonyf. Give prob of sequence nf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0937 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 1 + 1 + (-2 + 3 - 2)*(3*p + 4*p - 5*p) - 4*p + 2 - 2)*(-4 - 1 + 2).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.85614mm in meters?\nAnswer: 0.03485614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1227668*d**2 + 2312140 with respect to d.\nAnswer: -2455336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*n**3 + 5*n**3 + 35*n**3 - n**2 + 76*n**3 + n as y*n**3 + a*n**2 + o + m*n and give y.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 3*f**2 + f - 5. Let p be u(0). Let z(j) = -j**2 - 3*j + 5. Let q(k) = k**2 + 3*k - 5. Let v(h) = 5*q(h) + 4*z(h). Calculate v(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 834927 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 128*i + 21. Let n be m(6). Suppose 0 = 2*j + 11 - n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*q + 9 - 73, -3*q + 20 = -g. Let c = g + 13. Is c greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 9*s**2 + 11*s + 3. What is v(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 229, 1640, 5347, 12466, 24113, 41404?\n\"Answer: 186*m**3 + 32*m**2 + 13*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 4\/(-8)*-2)*-5. What is the fourth biggest value in 0.2, -2, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*1*187\/(-374).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = -127*j - 8976 - 4701 for j.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25332094*r*s**4 + 45*r*s - 2*r + 3*s - 2586 wrt s?\nAnswer: -303985128*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*b + 5 + 80 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 370, 816, 1438, 2236, 3210, 4360?\nAnswer: 5686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -23 (b) -2\/33 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324482?\nAnswer: 2, 19, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-7)\/(168\/18))\/((-36)\/392) and -37\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*y**2 + 9*y + 417 with respect to y.\nAnswer: 10*y + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaa when three letters picked without replacement from akkkak.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 104\/3, 1.1 in descending order.\nAnswer: 104\/3, 1.1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**3*x)\/x)\/((x**(5\/3)*x)\/x*x))**(1\/6)\/((x*x**1*x*x)**(-3)\/(x*x**3*x**(3\/2))) assuming x is positive.\nAnswer: x**(319\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86982 and 3344?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -5 (c) -1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c**2 + 131*c - 36. Let n be m(-3). Is -500 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*s**6 + 24*s**2 + 2*s - 2*s + 8*s**2 wrt s.\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41010.3 decades to years.\nAnswer: 410103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 10. Let h(a) be the second derivative of 9*a**2\/2 - 68*a - 2. Determine 3*h(y) - 2*j(y).\nAnswer: -2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n**2 - 3\/2*n**5 + 2*n**4 + 0*n - 1\/2*n**3 + 0.\nAnswer: -n**3*(n - 1)*(3*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1321304+-12074852\nAnswer: -10753548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172385 or 0.092?\nAnswer: -172385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2220 - -2390. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1603, -3203, -4803, -6403, -8003, -9603?\n\"Answer: -1600*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6765524279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*12\/(-10) - (1 - 8). Let x = 0 + 2. Sort 0, x, -3, s in descending order.\nAnswer: x, s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242 + -170. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, f: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Let m = -164.9 + 165. Is n >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 2*d - 20 = -2*v - 31 - 141, 0 = -66*v + 4*d + 94 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/4224 and -65\/4224.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1876*o + 1853*o - 161 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 97 (b) -48 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*i + 259, 3*i = -0*k + 2*k + 105. Let u = k - -50. Let t(f) = f. Let h(p) = 6*p. Calculate u*h(c) + 2*t(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 times -56915.95?\nAnswer: 11838517.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -11. Suppose w*h - 20 = -x + 8, 4*h + 102 = 5*x. Solve -7*c + 1 = x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*d, 3*d - 5 = -2*o - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-5847)\/(-975) + 1 + 228\/2850).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u**3 + 2*u**2 + 571479*u - 3492600?\nAnswer: -3*u**2 + 4*u + 571479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3 + 2853*u**2 + 19500426*u = 0. Calculate u.\nAnswer: -2118, 0, 3069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6373 - 3845.1373. Round i to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5792, -5840, -5986, -6278, -6764?\nAnswer: -7492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5500321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106*u**2\/13 + 45152*u\/13 - 1704\/13.\nAnswer: 2*(u + 426)*(53*u - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-152)\/190*5\/(-2). Sort 3, 1, n in ascending order.\nAnswer: 1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4572802*h**4 + h**2 + 7314327*h wrt h.\nAnswer: -109747248*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - c + 1. Let f(m) = -5*m**2 - 8*m**2 + 2*m**2 + 3 - 5*m + 3*m**2. Let y(s) = -f(s) + 4*u(s). Calculate y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - j)*((2171*j**2 - 4131*j**2 - 3518*j**2 - 2907*j**2)*(-j**2 + j**2 - j**2) + 1 - 1 - 2*j**4).\nAnswer: -8383*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 y when three letters picked without replacement from {e: 3, y: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16 + -12 - (-2 - 1). Let v(n) = l*n**2 - 12*n**2 + 3*n**2. Let g(q) = -6*q. Calculate v(g(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -17*w**2 - 6904*w - 1. Let q(b) = b**2. Calculate p(q(a)).\nAnswer: -17*a**4 - 6904*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 29*h**2 - 23*h + 17. Let d(f) = 5*f**2 - 4*f + 3. Let b(p) = 34*d(p) - 6*s(p). Find the second derivative of b(y) wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, -23, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 78 = -2*m. Solve 4*n = m*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(97185\/(-1116)))\/((9\/10)\/(-3))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.40328 nanograms in kilograms?\nAnswer: 0.00000000007540328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 8) to base 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 132959350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/4 - 5\/(-40)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*n**3 + d**3*w**2 - d**3*w - 35*d**2*w + 2*d*n**3*w**2 - 5*d*w**5 wrt w.\nAnswer: 2*d**3 + 4*d*n**3 - 100*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1877 + 6\/9 + 253\/(-33). Calculate the highest common divisor of 330 and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 1. Let s(c) = 7*c**2 - c + 1. Let g(k) = -3*k**2 + k - 1. Let v(x) = -5*g(x) - 2*s(x). What is the units digit of v(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*n - 673*n + 116846 = 317*n for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56.772 - 17.539. Round l to zero dps.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -7 + 0*n - 1\/6*n**5 + 1\/105*n**7 + 1\/60*n**6 + 1\/4*n**4 + 3*n**2 + 0*n**3. Factor s(w).\nAnswer: 2*w*(w - 1)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 2*w + 0*w + (-6 + 2 + 2)*(20 + 6*w - 20) to p + m*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 8*x. Let j be c(4). Suppose -4*z - j = 0, 5*a - 248 = 5*z - 3*z. Let f = 21 + 11. What is the greatest common divisor of a and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 26736.\nAnswer: 26736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 13. Suppose -4*l + 9 = c*y, -l + 0*l - y + 1 = 0. Suppose -9*m + l*m = -69. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a factor of 3076391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + u + 41 - 13 = 0, -2*g + u + 16 = 0. Suppose -g = -q - 2*q. Suppose 0*b + 3 = b, 0 = -3*k - q*b + 21. Sort 2, -5, k, 1 in decreasing order.\nAnswer: k, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -744*a**3 + 1970. Let u(t) = 2*t. Give u(c(i)).\nAnswer: -4464*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from zrlmzlzllmlmz?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 114*y - 117*y + 2, y = 4*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74803 by 19.\nAnswer: -3937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*b, -4*z - 2*b + 44 = b. Solve -3*r = -z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*(-6)\/(-21) + (-22)\/(-154). Let x(y) = y - 5. Let o be x(4). Sort s, o, 0, 4 in decreasing order.\nAnswer: 4, s, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 22 = 5*k, -20 = -5*k - 8*q + 3*q. Let x(j) be the first derivative of 2*j**2 - 1\/2*j**4 + k - 2\/3*j**3 + 0*j. Factor x(d).\nAnswer: -2*d*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/7 and -19445 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 26. Let c be x(8). Solve 3*r - 4*d - 21 = 0, r - c*d - 15 = 2*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 3}. Give prob of picking 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 44 = -2*n, -30 = -3*j - 4*n + n. Suppose 5*f = j + 3. Does 17 divide (-1)\/f - (-952)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*o + 135 - 126, 5*o - 20 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*y**2 - 1491*y - 1125 = 0. Calculate y.\nAnswer: -3\/4, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -11, -9, -5, 1, 9?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 5641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:46 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:36 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Let j = b + -7. Let s = -1 - -8. Is s at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 668150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*w - 23*w - 4*c - 36, -4*c - 36 = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -239*w**2 - 4*w**3 + 0*w + 35070 + w - 35074 + 6*w**3 in the form q*w + d + p*w**2 + s*w**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-63)\/120 + 94\/235. What is the nearest to 1\/2 in -0.4, -4, 1\/3, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 6*n + 2. Let d be y(6). Determine t, given that 6*t + d*t**2 - 5*t + 0*t**2 + t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r + 2*r + 160 + 7*r - 3*r.\nAnswer: 19*r + 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*y - 292 = -2*y, z - 4*y = -73. Let u = z - -71. Let b be 26\/(-42) - (-4)\/14. Which is greater: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 2*t + 4*b + 16, -7 = -t - 2*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*h**4 + 55*h**3 - 5*h**2 + 667*h wrt h.\nAnswer: -960*h + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19024579219 and -2.\nAnswer: -19024579221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b. Let z(c) = c + 1. Let d(j) = g(j) + 4*z(j). Let v be d(-3). Suppose l - v = -4*l. Is l bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 41 = d + 13*s, 2*d + 4*s = 40. Solve -k = -f, k + 86*f = 85*f - d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/60 - f**4\/8 + f**3\/3 - 2*f**2. Let s be v(-3). Suppose s*a - 6*a = -168. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 595*l**2 + 3*l + 5290 - 5289 - 3*l to k + n*l + t*l**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 + 55*v + 30. Let r(y) = -y + 1. Let f(n) = h(n) + 20*r(n). Factor f(c).\nAnswer: 5*(c + 2)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32505 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1698941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4871308706800 - 4871308706800 - 53*g.\nAnswer: -53*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-11)*c*c)\/c**1)\/(c*c**4)**(-10))**(-2\/107) assuming c is positive.\nAnswer: c**(-126\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**8\/1344 + 61*o**7\/840 - 119*o**6\/480 + 59*o**5\/240 - 705*o**2. Solve k(v) = 0.\nAnswer: 0, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**3\/4 + 123*o**2 + 489*o\/4 = 0.\nAnswer: -163, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 3012831.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -407 + 407. Suppose -v + 5*c = 3*v - 24, 0 = 3*v + 3*c + 9. Let d = 15 - 13. Sort d, r, v, -2 in decreasing order.\nAnswer: d, v, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-15) + (-44)\/(-60). Which is the nearest to j? (a) -5\/2 (b) -5 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 6:44 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 0.37.\nAnswer: -3.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 40*g - 90 - 42 - 125 - g**2. Let n be h(31). Let f be (-254)\/(-12) - (-2)\/4. Which is bigger: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2822482, -2822485, -2822488, -2822491, -2822494?\n\"Answer: -3*g - 2822479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 3, -41 in descending order.\nAnswer: 3, 1, -12, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 888 + -600. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*f + 5 = 0, 23*f - 17*f + 9 = 5*l. Solve -3*g = -l*s - 21, -4*g - 5*s - 27 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5 = 13921*s - 13919*s, 12*s - 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 12*r + 12. Let q be d(14). Let g be ((-8)\/q)\/((-1)\/(-2)). Is 4\/4*(g - -4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39\/112 - 1\/16. Let x = 70 - 72. Which is the closest to 2? (a) x (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*r + 24*r + 3*r**2 - 45 - 38*r**3 + 37*r - 116*r - 2*r**4 - 51*r**3 wrt r.\nAnswer: -24*r**2 - 534*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**5 - 4*l**4 - l. Let x(t) = 460*t**5 + 4*t**4 - 493*t + 1. Let o(r) = -d(r) - x(r). What is the second derivative of o(g) wrt g?\nAnswer: -9180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107069\/89 + -1203. Let i = 22 + -64\/3. Which is bigger: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*f = 327*f + 108 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1215\/63 - (-2)\/(-7). Let n = 4 + d. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 169.45 and 4.\nAnswer: 677.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000111 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3792 and -229.\nAnswer: 3563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2759215*a + 379098 wrt a.\nAnswer: -2759215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/((-5)\/2))\/(3\/195). Suppose -c*a + 21*a = -25. Solve 0*v = -j - a*v + 22, j + 2*v = 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 861.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 13, 80, 215, 442, 785, 1268, 1915?\nAnswer: 2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107.6 + -599.6. Let c = d - -492.0000301. Round c to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w**3 + 7*w - 15. Let d(h) = 4*h**3 - 3*h + 7. Let l = -2269 + 2262. Calculate l*d(v) - 3*n(v).\nAnswer: -v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5994969511 to the nearest one hundred thousand.\nAnswer: 5995000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4}. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 99.9514. What is d rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by (8\/14)\/2 + (-4268)\/(-154)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = -0. Suppose 0 = k*d - 303 - 262. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 46 = -g + 57, -5 = o. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**5\/60 + i**4\/24 + i**3\/3 + 4*i**2. Let j be g(0). Suppose 57 = j*l + 1. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.34 - -448.34. Let x = f - 440.999522. Round x to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 326, 490, 654, 818?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7638462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 213?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22297, 44597, 66897, 89197, 111497?\n\"Answer: 22300*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.52 in 0.1, -4551, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3165 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let r = -202 - -204. Put n, r, 3 in ascending order.\nAnswer: n, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*y - 30 = -99*y. Let q(w) = w**3 + 8*w**2 + 8*w + 19. Let g be q(-8). Let s = g - -91\/2. Which is the second biggest value? (a) -5\/4 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 205, 370, 609, 946, 1405, 2010?\nAnswer: 2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let t(x) = x**2 - x. Let h(k) = k**3 - k**2 - 2*k + 1. Let n(y) = b*h(y) + 3*t(y). List the prime factors of n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**6\/120 + y**5\/60 + y**4\/24 - y**3\/6 + 28*y**2 + 12. Let l(n) = 12*n**3 - 6*n**2 - 4*n + 7. Calculate 6*c(q) + l(q).\nAnswer: 6*q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 47*a**2 - 14*a. Let x(f) = -f. Give x(h(c)).\nAnswer: -47*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 418*i**2. Let o(q) = q - 30. Determine y(o(x)).\nAnswer: 418*x**2 - 25080*x + 376200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:36 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 - -0.821288\nAnswer: 0.796288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9598, 7.97, 1\/4.\nAnswer: -9598, 1\/4, 7.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sisimsim. What is prob of sequence im?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3105019?\nAnswer: 503, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 30*z - 9*z - 7*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - ((1 - 4) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22726477*d**2 + 16078726 wrt d?\nAnswer: -45452954*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**8\/14 + 37*h**4\/6 + 28*h**3 - 45*h**2 - h. Let l(q) be the first derivative of x(q). Differentiate l(k) with respect to k.\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 975 and 248850.\nAnswer: 3235050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 a factor of 362318971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.47 - -2\nAnswer: 0.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 5917366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 1.56813\nAnswer: 0.156813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -5\/12*s**6 - 110 - 5\/2*s**2 + 15\/8*s**4 - 5\/6*s**3 + 0*s + 1\/2*s**5. Find k, given that c(k) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 + 1022 = 2*m. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 36*n**2 - 33*n + 14. Let w be m(-17). Calculate the common denominator of ((-132)\/80 + 2)\/(w\/34) and -68\/81.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -467 in -0.4, 0.145, -2\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 6:59 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274345\/62958 + 2\/4497. Find the common denominator of i and -69\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -412, 3, 1\/10674, 2\/3 in descending order.\nAnswer: 3, 2\/3, 1\/10674, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*n + 851*n - 13379 = -524*n + 7543 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42, 69, 104, 147?\n\"Answer: 4*y**2 + 15*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 18. Are u and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 10*o**2 + 5*o - 74. Calculate the least common multiple of n(7) and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 0*i + 0*i**2 + 10 - 11\/3*i**3. Let p(r) = -3*r. Determine p(c(f)).\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**9\/20160 - r**7\/1680 - r**5\/20 - r**2. Let z(c) be the third derivative of a(c). Factor z(t).\nAnswer: 3*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9997.727 years to millennia.\nAnswer: 9.997727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**4\/60 - 1169*n**3\/15 + 2339*n**2\/10 + 4586*n. Suppose s(r) = 0. What is r?\nAnswer: -2339, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2454341030.\nAnswer: 2, 5, 73, 3362111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 36*r**2 - 3*r + 12. Let c be u(-3). Let a = -202 + c. What is the remainder when a is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00374295 to 4 dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + 18aee9?\nAnswer: 18b013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30881986.\nAnswer: 2, 263, 58711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**3 + 42*l**2 - 153*l = 0. Calculate l.\nAnswer: -17, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0078121951 to 6 decimal places.\nAnswer: -0.007812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -173*l**5\/10 + 107*l**4\/2 - l**3\/3 + 244*l**2. What is the second derivative of d(j) wrt j?\nAnswer: -2076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*h + 18 = -6*h, 2*r = -2*h + 10. Suppose -r*n + 4*n = 0. Suppose n = 3*w - 99 - 60. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - -5) + 1 - (-19 + 30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -441, -424, -389, -330, -241, -116?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 35*m - 33*m + 13*m. Let x(r) = 2*r. What is x(g(h))?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -6624\nAnswer: -6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*(-1 + -2*sqrt(117)) + -4) + -3)**2.\nAnswer: 1440*sqrt(13) + 269593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 1, d: 1, x: 2, l: 1, n: 1}. Give prob of picking 1 l, 1 a, 1 n, and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -112439\nAnswer: 112435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7600.003 litres in millilitres?\nAnswer: 7600003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 3 + -2 - (119 - 116).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 12112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**4\/8 - 15*a**2 + 6*a. Let x(f) = 22*f - 3. Determine x(s(q)).\nAnswer: 66*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 32 = -8*v + 6*v, -4*m - 8 = -2*v. What is the second biggest value in v, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 6\/17, 51.97 in increasing order.\nAnswer: -2\/5, 6\/17, 51.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267*b**2 + 342*b wrt b?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 18*p - 7*p + 19*p - 69 + 3*p. What is the hundreds digit of i(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 10. Let i be n(7). Is 13 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.8 + -43. Let a = r + -0.8. Let c = 1.68 - -0.32. Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1760 = -4*k - 3616. Let x = k + 2131. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4789976 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 264\/792*(104 + 1*-2). Solve -k = 36*q - v*q + 2, 15 = -4*k - q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1879722)\/(-135) + 1 + 1 + (-52)\/60.\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 6*n + 5. Let j(q) = -13*q**2 + 7*q + 6. Let k(d) = -12*d**2 + 7*d + 6. Let o(t) = 5*j(t) - 6*k(t). What is -4*o(p) - 5*z(p)?\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107\/95 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 488799, 1955184, 4399085, 7820442, 12219195, 17595284, 23948649?\nAnswer: 31279230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53\/((-424)\/128)*(0 + (-79)\/2). Let c = 2 + 0. Suppose -c*o = -814 - x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**4 + t**3 - t**2 + 1. Let r(i) = 115*i**5 + 8*i**4 - 7*i**3 - 1010*i**2 - 8. Let n(l) = 8*f(l) + r(l). Find the third derivative of n(j) wrt j.\nAnswer: 6900*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-320 - -360) + (-3958)\/99\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivm when three letters picked without replacement from vniinndninnninnvm.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 - 17. Let o(g) = -g**2. What is o(x(q))?\nAnswer: -36*q**4 + 204*q**2 - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -4172, -11175, -21020, -33731?\nAnswer: -49332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((10\/(-8))\/5). Let p be 1\/(-3) + k\/3. Suppose 0 = -m - p*h - 10, 38 = -0*m + 3*m - 2*h. Solve -4*u + m = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 252 and 8\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10607 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -153*i - 46. Determine s(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-1)\/10*260\/(-36)*-3).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207871 (base 9) to base 3.\nAnswer: -20021222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/3, -3\/559, -2\/9, -22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/((-3)\/(-9)). What is the common denominator of (2 - (-62)\/(-10)) + -2 and (-142)\/15 + n\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 484?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -373*r + 375*r - 768. Calculate the remainder when r is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -3*k**5\/20 + 7*k**4\/4 - 7*k**3 + 12*k**2 + 167*k. Let f(d) = 0. What is d?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74043091.\nAnswer: 74043091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 750\/175*(-1 - -8). Suppose -x + 27 + 48 = 0. What is the highest common factor of d and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = -3. Suppose 0 = -q - 4 + b, 3*q - 9 = -3*r. Suppose -r*a + 252 + 356 = 0. Calculate the remainder when a is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from kulggggkoggugg.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)\/d)\/d)**(-2\/27)\/(d**(4\/9)*d**(3\/4))*(d**(-2\/3)*d)\/((d**(-4\/5)\/d*d)\/d*d)*(d**(-1)\/d)**(1\/20) assuming d is positive.\nAnswer: d**(-43\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*c - 3*c**3 - 8 - 42*c + 21*c - 19 - 21*c**2 = 0. Calculate c.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a56 + -9?\nAnswer: 3a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 - -105. Suppose -h = -3*g, 5*h - 7*g - 20 = -y*g. Solve 6*w - 18 = 3*w + h*k, -5*k = 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d. Let r(v) = -29*v**2 - 54*v - 12. Determine r(p(h)).\nAnswer: -29*h**2 + 54*h - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91129*f - 91185*f = -784 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7502 or -7503?\nAnswer: -7503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuiuutttuu. What is prob of picking 2 i and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2950113566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7012.\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -26*u + 4*u**4 - 6*u**2 - 6*u**4 + 4*u**2. Differentiate v(c) wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10485 or 0?\nAnswer: 10485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 612*f*n**2 - f*t - n**2*t + 16*n*t wrt n.\nAnswer: 1224*f - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11109127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 2*c. Let p be ((-7)\/21)\/((-1)\/(-39)). Let z = -16 - p. Let a be -2*-5*(-2)\/4. Let r(h) = 2*h**2 - 3*h. Determine a*v(l) + z*r(l).\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 60 = 18. What is the remainder when 41 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 6*f**2 - 7*f + 4. Suppose 2*m + 4*n + 425 = 697, 2*m + 3*n = 266. Calculate the least common multiple of w(-7) and m.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*189\/189?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-2)\/sqrt(5) - (0 + sqrt(304)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17571 divided by -5857\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -79632, -4 in descending order.\nAnswer: 32, -4, -79632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 53*u**2 - 46*u + 140. List the prime factors of n(54).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1. Let p(f) = 9*f + 7. Let m be p(0). Let a be (2\/(-8)*-3)\/(m\/28). Let x(d) = -4*d + 3. Give a*u(q) + x(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90144*t + 872 = 89708*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.3, -0.05, 33, 5, -1\/14?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-5)*4\/12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.5 (b) 13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000594544 to six dps.\nAnswer: 0.000595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122.4 - 122.39996026. Round f to 6 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951168 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 16*s + 11. Determine x(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/42)\/(12\/14)*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j**3 + 6*j + 0*j**3 - 3*j**2 + 6*j - 2 - 15*j as n + p*j**3 + f*j**2 + b*j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -2\/45*v**5 - 1\/36*v**4 - 1\/504*v**8 + 16*v + 0 + 2\/9*v**3 - 4*v**2 + 1\/90*v**6 + 2\/315*v**7. Solve g(h) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/2 + 26*p**3 + 725*p**2\/2 + 625*p.\nAnswer: p*(p + 2)*(p + 25)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 4:35 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 j, and 1 e when four letters picked without replacement from ezzzzzjzjzezjj.\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 305 divided by -5\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2360, 3233, 4114, 5003?\nAnswer: 5900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23769 or -23787?\nAnswer: -23787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n + n + (-n + 6*n - 4*n)*(-2 + 0 + 4) - n - 2*n + 5*n + 0*n + 3*n - 2*n + 599*n + 477*n - 24639 + 24640)*(3 + 4 - 6)*(-n**2 + 4*n - 4*n).\nAnswer: -1082*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1.3, -2\/11, 1\/37, 1 in descending order.\nAnswer: 3, 1.3, 1, 1\/37, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 884, 1815, 2730, 3629, 4512, 5379?\n\"Answer: -8*z**2 + 955*z - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.59 + 389.91. Let x = -398 + s. Which is the smallest value? (a) -2\/9 (b) -1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 v, and 2 y when four letters picked without replacement from {y: 2, n: 1, e: 1, v: 1, f: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2 - 2*o**2 - o + 0*o + 0 + 2*o - 2*o**3. Let u be w(-2). What is the derivative of 2*c**2 - 7 + 2*c**2 + u wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 475 or -510?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/20 + 2*a**4\/3 - a**3 - 3*a**2 - 2*a. Let x be q(7). Does 19 divide 3*x*689\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 7:58 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/3 + 4*s**2 - 7*s + 2. Let b be y(6). Calculate the greatest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2 = 4*h - 13, 0 = -4*h + 4*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1a44e (base 15) to base 6\nAnswer: 1455045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 3*o**2 + 7*o + 6. Let l = -82 - -78. Calculate i(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 3 - 39. Let a be (j\/3)\/((-6)\/(-450)*1). What is the greatest common factor of a and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/9))**(-31)*(d*d*(d*(d**(-3)*d)\/d*d*d)\/d*d)**(-18\/7) assuming d is positive.\nAnswer: d**(-1843\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1889603, 3779107, 5668607, 7558103, 9447595?\nAnswer: 11337083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 2128368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.011 + 1.011. Sort 10, -3, s in ascending order.\nAnswer: -3, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 30 + 61 + q)*(-q**2 - 4*q**2 + 2*q**2).\nAnswer: -3*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 16 = -4*n, -5*y - 10 = -3*n + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -342*s**2 - 810*s**3 + 5 - 15*s + 15*s + 349*s**2 wrt s?\nAnswer: -4860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/76457642 and -28\/467345.\nAnswer: 382288210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 - y + 4. Let z(t) = -3*t**2 + 5. Suppose -20 = -3*v + 8*v. Let x(i) = v*z(i) + 5*p(i). What is the second derivative of x(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -75, 1, 18, -35 in ascending order.\nAnswer: -75, -35, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 6*z**2 - 7*z + 15. Let n(d) = 2*d**2 - 4*d - 8. What is the remainder when n(-4) is divided by t(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24909 divided by -61544?\nAnswer: -24909\/61544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1101100011?\nAnswer: 1101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 84\/(-18) + 1\/(-3). Let h be 7746\/(-20) + -1 + 1\/q. Let j = h + 362. What is the common denominator of j and -1\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-8))\/(3\/(-4)) - 1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = 4*o - 12, o = 5. Let s = -19.1 - -19. Which is the nearest to 0.1? (a) -0.5 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7368 is divided by 5268.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 14*j = -8. Let l(x) = -6*x**3 + 4*x + 7. Let s(t) = 5*t**3 - 3*t - 6. Let m(y) = y**2 - 11*y + 15. Let n be m(10). What is j*l(p) + n*s(p)?\nAnswer: p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 16*z - 6. Suppose z*j - 7*j = 3*a - 911, 2*j - 8 = 0. Let l be 23 - (-1 + -1) - -2. Calculate the highest common factor of l and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o. Let d(j) = -9*j**2 + 4*j. Let n(v) = -55*v**2 + 25*v. Let k(h) = 25*d(h) - 4*n(h). Calculate t(k(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10709872 is divided by 356.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 57 = -v. Let k(y) = 1 - 67*y + v*y + 39*y. Let n(l) = -2*l - 1. Suppose i + 4 = 3*a - 6, 0 = -5*a - 4*i - 6. Determine a*n(t) + 3*k(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7018497 and 5.\nAnswer: 35092485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/30043884 and 79\/12064?\nAnswer: 240351072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6422 less than or equal to -6422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 2*f**4 - 4*f**4 + (f + 2*f - 2*f)*(-f - 4 + 4 + 6*f**3).\nAnswer: 3*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 24. Let s = y - -6. Let f = 4 + s. What is the smallest value in 0, 0.3, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 54310520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3060*k = 3062*k - 70, -k - 13 = -24*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-24*d - 21*d - 5 + 35*d).\nAnswer: -10*d - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*w - 25, w + 2*j = 5*w - 18. Let v = 2.6 + -4.6. Let n = -2 + v. Which is the closest to n? (a) 0.4 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/6 - 1867*k - 11200\/3 = 0 for k.\nAnswer: -11200, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241, 485, 729, 973, 1217?\nAnswer: 1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -721*t - 28*t**5 + 58*t**5 - 31*t**5 - 54*t**3 + 55*t**3 wrt t.\nAnswer: -20*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 91.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + 0*s)*(1 + 2 - 1) + (-11 - 1 - 5)*(-4*s - 1 + 1).\nAnswer: 64*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x - 45. Suppose -6 = 5*c - 4*c. Let a = x + c. Solve a*w - 13 - 3 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 377 - 372. Suppose -5*m = 2*u + 8, -3*u - 9 = 4*m - 4*u. What is the second biggest value in m, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4734 + 5154. Which is the closest to -0.1? (a) -5 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2\/29, -0.2, 1 in descending order.\nAnswer: 1, 1\/2, -2\/29, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4438 - -4448. What is the remainder when 220\/6 - (-1)\/3 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z, -2*g + g + 4*z - 323 = 0. Let n = -224 - g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-6 - 6) + 3\/1 + 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.1 (b) -2 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 14*v**2 - 4353*v + 73776. Determine a(18).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(j + 1 - 1) + j + 2 - 2 + (2*j + j + 0*j)*(4429 - 2487 - 2499).\nAnswer: -1669*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 951466702*w + 18*w**2 - 18*w**2 - 951466702*w + 7*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(540\/(-2190)) + -27\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 193 divided by 3\nAnswer: 193\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/36707 and 88\/21.\nAnswer: 770847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/25 of a millennium?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-984)\/(-15) + 2 - (-15)\/(-25). Let o = 237 - d. Suppose 0 = -3*m + 5*h + 431 - o, 0 = 2*m + 4*h - 152. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, -30, -156, -5, -4 in ascending order.\nAnswer: -156, -30, -5, -4, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 915 divide 60989333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 154*v - 159*v + 15. Calculate the lowest common multiple of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(77)*-2*-4)\/(sqrt(63)\/(sqrt(9) - 5*sqrt(144))))**2 + 2.\nAnswer: 4066306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1308\/7315 - 2\/665. Which is the smallest value? (a) 0.1 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*i = 24, 4*q - i - 3 = -2*i. Solve -v - q*n = v + 2, 0 = -2*v + 2*n + 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 5, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b**5 + 20*b**4 + 8*b**3 + 8*b + 8. Let m(a) = -7*a**5 + 13*a**4 + 5*a**3 + 5*a + 5. Let f(l) = -8*m(l) + 5*s(l). Factor f(g).\nAnswer: g**4*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -118, 26, 6, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -6223.\nAnswer: 45\/6223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132))\/sqrt(3))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112178969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let g = -6 - 6. Let m = -10 - g. Which is the closest to q? (a) -1\/7 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**6\/5 - 7*v**3\/6 + 3*v. Find the second derivative of t(m) wrt m.\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, l: 1, o: 1, g: 3, f: 3, e: 6}. What is prob of sequence gee?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6391916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 255 - 22984 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 41 - 3\/(-6)*-2*-1. Calculate the remainder when 49 is divided by (w\/(-4))\/7*34\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiaqaaqaqix. Give prob of picking 2 i, 1 q, and 1 x.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3647313 to the power of 1\/2, to the nearest integer?\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 7 - 12. Let w be 2\/(2\/1401) - -1. Suppose 63 = t*y - w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooohooo. What is prob of picking 4 o?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12113 + 14810 - 92*l - 3350 - 1669 + l**2 + 388*l.\nAnswer: (l + 148)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**2 + 3*c - 9. Let t be f(4). Let b = t - -94. Let j be 1 + b - 3\/(-3). Solve h - 5*v = 0, j*v - 22 = 5*h - 0*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 8*p + 12. Suppose 0*z - 2*f = 4*z, -4*z = -2*f. Suppose z = 2*v + v - 2*k + 14, 0 = v - 5*k - 17. List the prime factors of j(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -26*l**2 + 3*l + 2. Let z(q) = 2*q**2. Determine -n(a) - 3*z(a).\nAnswer: 20*a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(-18) - 12\/54. Which is the nearest to -0.6? (a) l (b) -3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2.9 (c) 1\/16 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = h - 15, -1237 = -4*h - 9*b - 1199 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/7714 - -312409\/61712. Let h = 8709 + -2159867\/248. Find the common denominator of h and g.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -717172 or -573?\nAnswer: -717172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.04 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43194 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/13)*g)\/g**(-5))\/(g**(1\/6)*g\/g**3)*(g**10\/(g**3\/g))**(-21\/5) assuming g is positive.\nAnswer: g**(-9989\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537 = 4*s + 3*v, 2*s - 3*v = 1190 - 935. Which is bigger: s or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73099.\nAnswer: 13, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-1)\/6)\/((-3)\/(-12)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002184349 to seven dps.\nAnswer: -0.0002184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*p + 3835, 0 = -2*p - 4*z + z + 1544. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1364792, -1364796, -1364806, -1364822, -1364844, -1364872, -1364906?\n\"Answer: -3*p**2 + 5*p - 1364794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 116 = 4*v, -6*v = -v + z + 145. Let h = 37 + v. Solve -m + 2*q + h = -0*m, 0 = -5*m - 4*q - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*u**2*v**3 + 2183*u**2*v**2 - 2*u**2 - 26*u*v**3 - v**3 wrt v.\nAnswer: -198*u**2 - 156*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y - y**2 + 3*y**2 + 2*y**2 to the form z*y**2 + x + k*y and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:38 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**2 - 18*p - 13. Is g(-12) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -35*y**5 - 935*y**4 - 2250*y**3 + 720*y**2 = 0?\nAnswer: -24, -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(6) + sqrt(6) + sqrt(42)\/sqrt(7) + sqrt(6)))\/sqrt(2).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(9)\/sqrt(3) + sqrt(3) - ((-5 + sqrt(3) + sqrt(9)\/sqrt(3))**2 + sqrt(3)).\nAnswer: -33 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 - 0.005?\nAnswer: -6.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -550254\/77 or -7146?\nAnswer: -7146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = 19*d - 4. Solve -4*n = -d*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1608 - -1595 - (-3 + -82 + 2 - 0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*z + 2*z - 3*z)*(44*z**3 + 139 - 139 + (4*z**3 + 2*z**3 - 3*z**3)*(-7 + 3 - 2)) to the form r*z**4 + o*z**2 + n + w*z**3 + d*z and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t**3 + 2*t**2 - 6*t + 5. Let j be x(1). What is the common denominator of 37\/72 and 1 + ((594\/j)\/9 - 1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - 10.1. Let j = -11.2 - u. Let s = 1.73 + -1.73. Which is the nearest to j? (a) -4 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*v = 188*v + 3558. Factor 36*m**3 - 913*m**2 + 3*m**4 - 905*m**2 + v*m**2.\nAnswer: 3*m**2*(m - 1)*(m + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + -19. Let c = 109 - d. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.95082 to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 679*u - 38377. Calculate f(70).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 11*j - 28.\nAnswer: -(j - 7)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - p + 1. Let a(c) = -5*c**2 - 5*c + 5. Let f(g) = 2*a(g) - 11*w(g). Give f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111202 - -1211?\nAnswer: 1120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2644.18 times -0.21\nAnswer: -555.2778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79037 is divided by 166.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 157. Let a = -80 - o. Let m(w) = 6*w + 1. Is m(a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2 - 52464*q + 16044340 = 0. What is q?\nAnswer: -13415, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11200010 (base 3) in base 14?\nAnswer: -1353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-4)*(-16)\/(-28). Suppose 0 = -5*s + 4*j + 22, j - 3 = a*j. Solve 5 - s = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/5*t**3 - 9\/5*t + 11\/5*t**2 - 1\/5*t**4 - 2 = 0. What is t?\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.275496 rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166 (base 9) to base 3.\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*l + 11, x = -2*x - 4*l + 33. Suppose -x*s + 7*s = -24. Solve -v + 25 = -s*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**2 + x + 2. Let i be p(-3). Let t = 2 + i. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871*m + 11 = s - 868*m, -5*m = s - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d - -12b5520?\nAnswer: 12b54b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/26676 and -99\/25172.\nAnswer: 167872068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-7)\/(-3) + 202\/(-606)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 7*u + 490*u**3 + u.\nAnswer: 490*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m. Suppose 0 = 3*k - l - 116, 3*k - 2*l = -m*l + 118. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let o = y - 0.8. Let n = -4 + 4.1. Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2967 and 2.\nAnswer: 2.2967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/13 - 484*f**4\/13 - 26916*f**3\/13 - 74408*f**2\/13 + 1357910*f\/13 - 1256100\/13 = 0. What is f?\nAnswer: -159, -79, -10, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93870 is divided by 165.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(77))\/sqrt(7) + -5*sqrt(11) + 1)**2 + sqrt(1331) + sqrt(1331)*-5 + (sqrt(33)\/sqrt(3))**2*-6.\nAnswer: -46*sqrt(11) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 366 and 25071.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Let t be (-46)\/(-112) - 26\/91. Let s = t - 3\/8. What is the second smallest value in s, p, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0126224 rounded to four decimal places?\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70*((-6)\/2)\/(-6). Let q = u - 21. Let j = -133 - -231. What is the greatest common factor of j and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 - (-7)\/(-5)*(-18)\/54?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 30046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 54, -6 in descending order.\nAnswer: 54, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21913022 is divided by 1148?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c = -8*c - 100 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -72, -68, -72, -90, -128, -192, -288, -422?\n\"Answer: -b**3 + 2*b**2 + 5*b - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/3710? (a) -17 (b) -3\/5 (c) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 686\/294*1*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.18 + 0.3. Let m = h + 3.88. Which is the third smallest value? (a) m (b) -6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*6407.\nAnswer: 32035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 0, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5991, 11981, 17971, 23961, 29951?\n\"Answer: 5990*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1566 by 9.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b5a + 4?\nAnswer: -2b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/15 - 22\/(-10). Let b = -71 - -99. Suppose -2*x + 3*q + 0*q + 12 = 0, -3*x = -k*q - b. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 13652\nAnswer: 68260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2385 - 2384.9998276. Round h to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9\/4)\/(y\/((y*y*y**(-2\/3))\/y*y))*(y**22\/y)\/y**(9\/4) assuming y is positive.\nAnswer: y**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.4, 3, 0.2, -1.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1889904 by 4.\nAnswer: -472476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -308b - -3?\nAnswer: -3088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -11*c**2 + 1447*c + 16. What is the tens digit of p(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from wuuuwuwwuuwuuuuu?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.365, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 2, d: 1, x: 1}. Give prob of sequence sxv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**3 + 5*b**3 + 10*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**2 + 6*n**2 - 214*n + 186*n wrt n?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2774854140 to the nearest integer?\nAnswer: 52677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9615 divided by 5\nAnswer: 1923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 59. What is the remainder when b is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009016676 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 1 + 1 + 4*j - 6.\nAnswer: 7*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -19*s**5\/20 - 14*s**3\/3 + 17*s. What is the second derivative of x(z) wrt z?\nAnswer: -114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**9\/840 + 11*y**7\/2520 + y**4\/2 + y. Let k(z) be the third derivative of s(z). What is the third derivative of k(v) wrt v?\nAnswer: 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - u**2 - 3*u - 3. Let m be v(-2). Suppose -1286*r + 740 = -1656*r. Which is the closest to r? (a) m (b) 3 (c) 2\/15 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*j + 4600002 = -91*j + p, 4 = 2*p. What is j rounded to the nearest 10000?\nAnswer: -1150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 4\/7)\/(8\/(-28)). Let g(t) = t**2 + 8*t - 9. Let y be g(-9). What is the nearest to 2 in y, d, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15907.\nAnswer: 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3*n - 5. Let s be x(-5). Let a = 29.4 - 23. Let j = -6 + a. Put s, j, 1 in decreasing order.\nAnswer: s, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/180 + g**5\/5 - 11*g**4\/12 + 16*g**3\/9 + 18*g**2. Factor t(d).\nAnswer: -2*(d - 16)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*w**3 + 1575*w**2 + 960*w + 140 = 0. Calculate w.\nAnswer: -2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.99 and 3.\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**5 + 129*s**4 - 156*s**3 - 1020*s**2 + 1584*s = 0.\nAnswer: -44, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**6\/180 - 47*z**3 - 18. Let i(a) be the third derivative of b(a). Let u(h) = -4*h - 5. Give u(i(w)).\nAnswer: -8*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 86851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484 = 2*t - 56*t + 10*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f = -12. Let s = f + -6. Suppose 5*j - 4*c - 24 = s, -3*c + c = 5*j - 48. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*x + 41*x - 76*x + 2*x**2 to m*x**2 + n*x + z and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114161 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83077 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 34102311022?\nAnswer: 34102311034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 46259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 5*x - 4. Let z be j(-4). Let k = z + 4. Solve 6*i - 2*i = k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1026\/(-36))\/(-19))\/(9\/12). Solve 2*d - 7 = 3*r, n*d = r - 3*d + 24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -689 - -695. Let f(m) = m**3 - 3*m**2 - 2*m - 30. Calculate the remainder when 73 is divided by f(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 - r**2 + 2704*r + 676 = 0. What is r?\nAnswer: -26, -1\/4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 22. Suppose 105 = k*w - r, -2*r - 9 = -w + 42. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**4 - 6630*r**2 + 26*r**6 + 6633*r**2 + r**6 - 185 - 3*r**4 - 5*r**6 wrt r?\nAnswer: 2640*r**3 - 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-24)*f*f)*f*f**(-1\/31))**(3\/29))**(1\/8) assuming f is positive.\nAnswer: f**(-291\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 2\/3*q**4 - 1 - 5*q + 0*q**2 - 1\/3*q**3 - 1\/21*q**7 + 4\/15*q**6 - 3\/5*q**5. Factor g(t).\nAnswer: -2*t*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 12) to base 6.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {r: 4, t: 3, x: 2, n: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172168*r**3 + 139429*r**2 wrt r?\nAnswer: -1033008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/5, 93, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + (163 + -77 - (-1 - -15))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Let k = 42.1 + -0.3. Let q = k - 41.8. What is the third smallest value in 3, x, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/13, 75, -0.2, 0.1, 0.03, 1\/5, 0.14?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + f = 21 - 5, -19*f = 2*r - 20*f + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1017 and 30397?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1))\/q)**(-20\/13))**(-9\/7) assuming q is positive.\nAnswer: q**(-180\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 785 or 766?\nAnswer: 785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*y + 232*y + 31*y + 35*y - 328*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 17*v**2 - 22*v + 4. Let n be -2 + -1 - -3 - -20. Let a be s(n). Suppose -384 = -3*z - 2*y, 4*z + 254 = -2*y + a. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-60)\/40).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 471241 - 107172. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2*j**3\/3 - 2*j**2 + 3*j + 1. Suppose -b + 0*b = 0. Let x = b - -2. Calculate s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 40 = -o. Suppose -o*l + 19 = -7*l. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euo when three letters picked without replacement from {u: 4, a: 2, o: 4, x: 2, e: 2}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214520, -858124, -1930804, -3432560, -5363392?\nAnswer: -7723300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 1, u: 3, b: 1, e: 1}. Give prob of sequence bl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-392)\/396 - (-144)\/324?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*y - 385, 2*t - 8*y - 152 = -4*y. Suppose 74 = -s + t. Solve 2*n - 8 = -s*i, 4*n - n = -2*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -321*q**2. Let p(y) = -746*y. What is p(c(l))?\nAnswer: 239466*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 334508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7db22 - 84?\nAnswer: -7dba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6*y - 3*h - 14 = 0, 8 = -2*h. Let f be -4*(-5)\/y*(-3)\/5. Let u(j) = j**3 - 6*j**2 + 6*j - 9. Let m(o) = -o**2 + o - 1. What is f*m(g) - u(g)?\nAnswer: -g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 407 - -1315. What is the greatest common divisor of 41 and v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 29*z**2 + 136*z - 28. What is y(-23)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -252 + 88. Suppose 0 = -5*a, -5*u + 3*a = -z - 108. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3022 (base 11) to base 2\nAnswer: 111110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -53\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.1, 1\/4, 1, -1, -1076?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(90))\/((sqrt(80)\/sqrt(2))\/sqrt(4)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.2 (b) -5 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(1*5\/40). Suppose 9*u = u + h. Suppose 5 - 14 = 3*k. Which is the closest to u? (a) k (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1573 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6*u + 300 - 104 = 0. What is the remainder when 57 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -26400 - -580901\/22. Find the common denominator of 55\/2 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -748, -1485, -2464, -3685?\nAnswer: -5148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 9*i + 9*i + 10*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49420000 rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - p**2. Let a be w(1). Suppose a = -3*t - 0 + 6. Suppose k = -t*o + 24, 0 = 2*k - 5*o + 2*o - 13. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) -1 (c) 2 (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -654.4 - -654.2. Sort m, -1.18, 5, 4 in ascending order.\nAnswer: -1.18, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h - 123*h + 2864 - 2864.\nAnswer: -89*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000520499118 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.796 - 13393.\nAnswer: -13412.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 237.474 months?\nAnswer: 0.0197895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 273.\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2330 - -4?\nAnswer: -2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3925286?\nAnswer: 2, 19, 53, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*h - s + 16, 0 = -4*h - 5*s - 2. Let d be h\/36 - (-2)\/(-8). Which is smaller: d or 0.23?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 79 (b) 0.3 (c) -37\/5 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*z + 2*l + 5, 0 = -3*l + 6. Is z*((-1659)\/(-9))\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 5*c. Let o = 4 - 9. Calculate f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 100012011120?\nAnswer: -100012011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 26*q**2 + 130*q - 5. Give v(-6).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**3 - 1074940*g**2 + 3224865*g = 0.\nAnswer: -214991, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*d + 31*d - 22*d + 35*d + 42*d.\nAnswer: -133*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -440 (base 13) to base 8\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 41*w**2 + 45*w - 102. Determine y(-40).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15498)\/(-798) - (-184)\/(-437).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (157 - 75) + -33 + -17.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -788\/295 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167108401?\nAnswer: 19, 907, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1\/3, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1459.3 * 0.5.\nAnswer: 729.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 355 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4*d)*(0 + 1 - 3 + 0 - 5 + 4 + (3 + 0 - 4)*(0 + 1 + 1)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*1 + 20\/(-4) + 2. Suppose -4*i + 14 + 97 = -o*w, 0 = 2*i + w - 59. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 852 - 963. Is b at most -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(0 + 5) - -9. Suppose 8*i = -w - 18. Let o(v) = -v**3 - 5*v**2 - 5. What is o(i)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193 - -10577.0299.\nAnswer: 10384.0299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 1. Let v(o) = -3*o + 8. Let a(x) = 6*q(x) + v(x). Let w be a(1). Which is greater: w or 31\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 19. Suppose 0 = h*o - 2*t - 49 - 55, -4*o = -t - 100. Factor -2*s**5 + 4*s**4 - 22*s**3 - 3*s**3 - 10*s**2 - o*s**4 - 3*s**5.\nAnswer: -5*s**2*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5209858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - (sqrt(540) + -2*sqrt(540)) - sqrt(540)) + sqrt(540))\/sqrt(12).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*22736\/63945?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 638 + 644 - 1281 + 9*g. Let c(u) = -u. Calculate 5*c(o) + k(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnfnzzznnzf. Give prob of picking 1 z and 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**2 + 20*m**2 - 9*m**2 - 1 - 14*m - 3*m. What is the least common multiple of 11 and t(6)?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w*(w*w*w**(1\/5))\/w))**50*(w*w**(1\/4)\/w)**4)**(-15\/4) assuming w is positive.\nAnswer: w**(2385\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 15745*g**2 - 31510*g.\nAnswer: 5*g*(g - 3151)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 6 - 9. Suppose 0*u - 5*u + 35 = b, -55 = -4*b - w*u. Find the third derivative of b*v**5 + v**2 + 10*v**5 - 5*v**2 wrt v.\nAnswer: 1200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032054929 rounded to 6 decimal places?\nAnswer: 0.003205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 16898328*a. Let o(t) = 2*t. Give o(n(k)).\nAnswer: 33796656*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: (1771\/385 - 5)\/((34\/(-5))\/1)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19930403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 7*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a + 9*a + 12*a - 32*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19447.89 hours to seconds.\nAnswer: 70012404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60639 + 9740 - 48111 = -10*u. List the prime factors of u.\nAnswer: 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 86*a**2 + 1268*a - 88. Give o(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*y + 2*y = -40, 2*n + 2*y = 22. Let q(r) = -15*r - 6. Let f be 1\/(2\/(-16)) - -2. Let x be q(f). What is the highest common divisor of n and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 43*b**2 + 2*b + 3. Let w = -3 + 2. Calculate the remainder when g(w) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*m = 18, -18*b + 22*b + 14 = -3*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 8. Let x(v) = v + 1. What is -p(y) - 3*x(y)?\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**3 + 102*o**3 - 52*o**3.\nAnswer: 70*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**8)*x)\/(x*x\/(x*x**9)))\/(((x\/x**(-4\/9))\/x)\/(x**(2\/7)*x)) assuming x is positive.\nAnswer: x**(116\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 13 = 2*p + 5*f, -10 = -3*p + 2*f. Let z be p + 13\/(-7) + (-4 - -2). Which is the closest to 0? (a) -5 (b) -12 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-4*-2 + (sqrt(171) - (sqrt(171) - (0 + sqrt(171))) - sqrt(19)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b. Let n = 266 - 191. Let k(g) = 75 - n + g**2. What is z(k(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**4 + 11*c**4 + 5*c**4 + (-2*c**3 + 0*c + 0*c)*(-3*c + 3*c + c) in the form h*c**2 + y + u*c + t*c**3 + r*c**4 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5663 and -0.41.\nAnswer: 1.052183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*k + 7. Solve 3*o + k = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 2*q**2 - 3*q**2)*(0 - 1 + 2)*(q**3 - 8*q**2 - 2*q + 8*q**2).\nAnswer: -q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-28) + (-12)\/(-35)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkkzkkzkzkzkkkzkzk. Give prob of picking 2 z.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-75)*-15 + (-2 - -1) + -26.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69488 and 24?\nAnswer: 208464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 3. Let i(n) = -n + 10. Let t be i(5). Let c be l(t). Suppose c*m + 7 = 29. Calculate the greatest common divisor of m and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 20 = -4. Let r(u) = 6*u**2 + 5 - c*u - 5*u**2 - 7. Calculate the smallest common multiple of 10 and r(9).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 5, l: 2, v: 1, j: 3}. Give prob of picking 1 k and 1 f.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 8 - (10 - (-42)\/(-7)). Suppose v + m = -3*v + 898, f*m + 662 = 3*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40895 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xddd when four letters picked without replacement from xdddxxxxdxdxdxddxd?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 - 30*l**2 - 189*l + 1358. Determine j(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**2 - 37*d + 37*d)*(3*d + d - d) + 152*d**3 - 134*d**3 + 281*d**3.\nAnswer: 320*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in 0.1, 0.2, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 0*y)*(3 - 7 - 2) + (0 + 9 - 2)*(-9*y + y - y + (-y + 5 - 5)*(2 - 1 - 2) - 3*y + 2*y + 3*y - 3*y + 3*y + y + (3*y + 0*y - 2*y)*(5 - 4 - 3)).\nAnswer: -37*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/219, -10, 2211, -0.3, -3 in descending order.\nAnswer: 2211, -2\/219, -0.3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azba when four letters picked without replacement from {z: 3, b: 7, a: 4}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.41549 - -25512.\nAnswer: 25518.41549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -3. Let n = 16 - 15.8. Let z = 1.3 + -0.3. Put k, z, n, 0.06 in decreasing order.\nAnswer: z, n, 0.06, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*r. Let z = -1 + r. What is the units digit of (-8)\/4 + (-9)\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**3 + 356047 - 356047.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 12 - 12)*(n - 2*n + 2*n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*i**4\/17 + 26800*i**3\/17 - 31920*i**2\/17 + 12736*i\/17 - 1696\/17 = 0. What is i?\nAnswer: 2\/5, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 718 - 709. Solve -6*o - y = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3975156 to 2 dps.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - a - 10 = 0, 1045*b - 1043*b = 4*a + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((4*4\/16)\/(1452\/198))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/4 + 1567*w\/2 + 3135\/4 = 0. What is w?\nAnswer: -1, 3135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 161, 238, 313?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) 3 (c) 0 (d) -434\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 231295 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 5*h**3\/2 - h. Let k(d) = 4*d. What is 22*k(y) - 6*w(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u**2 + 4*u**2 - u**3)*(-3 - 1 - 1) - u**3 + 4*u**3 + 3*u**3 to w + i*u**3 + t*u + m*u**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5372653 and 23881?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6614370 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 p when four letters picked without replacement from pufpupyppffup.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33972, -34020, -34078, -34152, -34248, -34372, -34530?\nAnswer: -34728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747048058.\nAnswer: 2, 373524029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 4}. Give prob of picking 2 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 1. Let s(q) = q**3 + 2*q + 2. Let r(u) = -2*n(u) - s(u). Let d be r(2). Let y be d\/5 - 4\/(-20). Solve 0 = -v + y + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9066453 is divided by 2564.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c + 57*c - 15*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(1 - (0 - -2)). Suppose -d*o = o - 30. Calculate the least common multiple of 14 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 57 + 2*l - 112.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9957 - 8867. Solve -f = 3*w - 1099 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 44, 13 in decreasing order.\nAnswer: 44, 13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1418215 to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 2*z**2 + 1. Let b be o(-2). Suppose -d = -3*j + 8, 4*d - 24 = -j + b. Let q = 3 + -1. Solve 5*a + q = d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3299366 and 1274?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -2*b**3\/3 - b**2 + 4*b + 103. Solve p(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5\/2 + 441*k**4 - 83149*k**3\/2 + 1424904*k**2 - 19773338*k + 95174040 = 0.\nAnswer: 13, 38, 780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 17098\/84*2. Let b = k + 405. Is 0 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {s: 1, e: 1, w: 4, a: 3, j: 3, v: 5}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 1 - -14) + (14 - (6 - -3) - -3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 133 = -3*c, 3*c - 4*m - 45 - 91 = 0. 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 prob of picking 1 k and 1 p when two letters picked without replacement from {i: 1, p: 1, u: 2, b: 1, k: 4, o: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2)\/l**(4\/27)*(l\/(l*l**(-44)*l))\/l*l\/(l\/(l**(-34)*l)) assuming l is positive.\nAnswer: l**(185\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -7 - -11*14\/(-21)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17.5, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddododdodddddad. What is prob of sequence aa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 13*z**2 + 14*z + 1. Let j be (-6)\/(-30) + (-71)\/5. Let r be v(j). Which is the nearest to 0.1? (a) -0.3 (b) 2\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -13*i**3 - 489*i**2 - 323*i - 992. Determine r(-37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(9\/5)*t*t)\/t)\/(t*t**(-14)) assuming t is positive.\nAnswer: t**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*n - 113 = -693*n + 331 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 2 + 2 + (3*w - 4*w - w)*(0 + 0 - 2) - 3*w + w + 4*w + 2 - 5 - 3*w - 2.\nAnswer: w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000093128 rounded to seven dps?\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 10. Let f be p(0). Let a = f - -14. Suppose a*u + 2*v - 34 = 0, 29 = 3*u + 4*v - 6*v. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.892 - -10.89213003. What is i rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 2, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 15*r + 81. Let q be y(-17). List the prime factors of ((-65)\/10*2)\/(2\/q).\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -669 + 646. Let l be g - (-7)\/14*18. What is the second smallest value in -0.4, l, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500, -964, -1428, -1892?\nAnswer: -2356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017331 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35193*n**3 + n + 39837.\nAnswer: -211158*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-21)*y)\/(y\/(y*y*((y**(-1\/18)*y)\/y)\/y)*y)*((y**0*y)\/y)**(-4\/3) assuming y is positive.\nAnswer: y**(-379\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -7*c**5\/60 - 2*c**2 + 2*c + 15378. Suppose 2*u + 2 = 3*u. Let l(x) = -u*x + 0 + 0. Calculate v(l(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 16) to base 9\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1233955 divided by 19.\nAnswer: -64945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 49 = 55. Which is bigger: b or -25\/2?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -173. Suppose 0*j + j - 16 = 0. What is the greatest common divisor of f and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -108084357 and -4.\nAnswer: 432337428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 + -237. Let d be (4\/(-8)*2)\/(1\/z). Let s = -21 + d. Calculate the remainder when s is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 582 + 586 - 69*i - 1152. What is the units digit of c(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504431307 and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15140 and 32940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1031 + 1033. Let x(s) = -s + 6. Let n be x(0). Let f(p) = 7*p**2 - 2 - g + n*p**2 - 2*p - 11*p**2. Determine f(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1014640 by 1.\nAnswer: -1014640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -1 + 0*o**5 - 3\/2*o**6 + o**3 + 0*o + 0*o**2 + 0*o**4. Find the third derivative of t(a) wrt a.\nAnswer: -540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 2340*b**3 + 410670*b**2 + 32032260*b + 936943605.\nAnswer: 5*(b + 117)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 c, and 1 p when three letters picked without replacement from oocppcmcmcp?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) 5 (c) 0.35 (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 1\/4, -0.4, 1, 14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*q - 4*n + 43, 535 - 395 = 5*q + n for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25493 is divided by 149?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 201022*x + 333912 wrt x?\nAnswer: 201022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000573660206 to five decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 7 - (4 + -1 - (4 + -15 + 22)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1*m**8)\/(m**(-8)*(m*m**10\/m)\/m) assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124.87 + 120.87. Put 2, -0.5, -0.034, b in increasing order.\nAnswer: b, -0.5, -0.034, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -569\/12096 (b) 5 (c) -1 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 5:35 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10070867 and 9535.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 2, 0.5, 7, -3\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from dooodcdo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-30)*5 + 11\/3. Solve -3*h - 12 = 3*a, -v = 4*h - a + 2*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35651 - -1.811.\nAnswer: -35649.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2. Suppose -3*c = 2*r - 3, -2*c + 3 = 5*r + 1. Let m(s) = s. Let w be m(1). Let q(b) = -w - 4*b + c. Calculate q(t(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Suppose y*r - r - 9 = 0. Let z(f) = -f + 13. Let m be z(11). Solve -m*u + r*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 25 = -4*m, -6 + 0 = 2*c. Let r = m - -9. Let y be (-7 + (-10)\/(-2))\/(-18). Are y and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 9 - 9 + 30*n.\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1703 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*c**4\/7 + 108*c**3\/7 + 18*c**2\/7.\nAnswer: -2*c**2*(c - 3)*(19*c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12908871?\nAnswer: 3, 131, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 11. Let n be o(0). Let s(h) = 18*h + 13. Is s(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 8:40 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 154059573387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*o - 369423*f + 47609*o - 79 wrt f.\nAnswer: -o - 369423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/20 - l**4\/12 - l**3\/6 + l**2\/2 - 34*l - 2. Give u(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1, -3.8, -2\/11?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 692 (base 13) to base 11\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - -0.99. What is the closest to 0.2 in -2\/5, 2, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2679.\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29491, -58906, -88321, -117736, -147151, -176566?\n\"Answer: -29415*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - 4340*m**2 + 4*m + 4413*m**2.\nAnswer: 73*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3*3\/9)\/((-429)\/78). Which is the fourth smallest value? (a) -1 (b) -0.1 (c) k (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 3325\/(-342) - 1\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/28 and 107\/76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c2c - 3?\nAnswer: -1c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/6*27\/84?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0*h**3 + 1\/210*h**7 - 1\/60*h**5 + 0*h - 1\/120*h**6 + 1\/24*h**4 + 0 + 6*h**2. Find d such that j(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 5*f**2 - 2*f**2)*(13 - 84 + 5).\nAnswer: 264*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*w + 446, -4*w - 3*t = -8*t - 367. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -85. Suppose -3*u - 1 + 7 = 0. Let h be u\/(-8) + (-88)\/(-864). Which is greater: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -243*h**2 - 88*h - 22. Let z(k) = -1508*k - 1531*k + 81*k**2 + 8 + 3068*k. Let g(d) = 3*n(d) + 8*z(d). Find the second derivative of g(m) wrt m.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -221, -443, -665, -887, -1109, -1331?\n\"Answer: -222*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/180 - z**4\/12 + 2*z**3\/9 + 21*z**2 - 1. Factor g(f).\nAnswer: 2*(f - 1)**2*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((144 + -146)\/(4\/(-10)))\/(15\/87)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16308852.1 to the nearest 10000.\nAnswer: -16310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 30, -2 in ascending order.\nAnswer: -2, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10436494?\nAnswer: 2, 5218247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-11 - -19)) + (40 - (-5 + -1 + 4))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013203 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 8:35 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35133725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -3. Let a be (-2)\/x + (-748)\/(-28). Let f be 6*((-24)\/(-9) + -2). Solve -5*d - f*y = -a, 0 = 3*y - y - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g - 3552. Is g a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*b - 25*b + 525*b)*(-b - 2*b + 2*b)*(b**2 + 3*b**2 - 6*b**2).\nAnswer: 860*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -653*o - 117*o - 4735 + 444 - 1869 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 62*x - 497. Calculate f(6).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806731 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -37 (c) 3 (d) -1\/82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 323220762*q + 4 - 323220773*q + 3.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18805543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 163 = -12. Let g = j - -95. Calculate the greatest common divisor of g and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 + 5*s + 3. Let x be g(-5). Suppose 2 = 5*f - 4*f. Calculate the greatest common divisor of x and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2 = 7. Suppose -11*g + 10*g = -2. Suppose -d - g*u = 1, -u = 4*d - 14 + 4. Solve -n = 4*q - d*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 78 = 2*o + 4*d, d = -4*o + 141. Calculate the remainder when o is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.472 + -0.038. Let g = u - -0.61. Which is the third smallest value? (a) g (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 158911754 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**4 - 2736*b**3 - 6886*b**2 wrt b.\nAnswer: 24*b - 16416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -60. Suppose 12755 = m - y*f + 6*f, 63829 = 5*m + 2*f. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let s = -71038\/2631993 - 8\/12129. Is s != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3957 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.9 from -26.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -5)\/(4 + (9 - 14)). Solve l*i + 2*i = -28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j = 42*j - 2*v - 14, -7 = -3*j - 2*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2) + 4 + 552\/(-184). Suppose -g*t + 193 = s + 61, 5*s = -4*t + 660. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + (-4 + -1*sqrt(1573) + 3)*-1 + -1)**2 + 5.\nAnswer: 44*sqrt(13) + 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100431310243 - 2?\nAnswer: 100431310241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*z + 3)*(0*z**2 - 10*z**3 - 2*z**2 + 6*z**3).\nAnswer: -12*z**4 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 10*s. Let k(c) be the third derivative of 2*c**2 + 7\/30*c**5 + 0*c + s + 0*c**3 + 0*c**4 + 3\/40*c**6. What is the third derivative of k(z) wrt z?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5191 + -5002. Let f(c) = c**2 + 3*c - 1. Let d be f(4). What is the greatest common factor of q and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 - 151. Is 20 a factor of -2 - 11*(-134)\/6*q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(374)\/(1*sqrt(99)))\/(5*(sqrt(2) + (sqrt(12)\/sqrt(2))\/sqrt(3))*3)*-2.\nAnswer: -2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) -1.7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -40. Factor 1\/4*m**d - 1\/2*m + 1\/4.\nAnswer: (m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 11, y: 2, a: 3}. What is prob of picking 1 y and 1 k?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108\/7 - 30\/7*s + 2\/7*s**2.\nAnswer: 2*(s - 18)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(7\/4)*n*n)\/(((n**(4\/11)*n)\/n)\/n))\/(n**4)**11 assuming n is positive.\nAnswer: n**(-1699\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Suppose i = -m + 6. Suppose -i*u = -12 - 4. Solve -2*f = 2 + u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Suppose 0 = 5*t - 20, 0*w = 2*w - g*t - 8. Calculate the highest common factor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.6 + 0. Let g = y + 0.4. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**2 + 6*g - 749. Let l = 16 + -11. Determine k(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (3 + 3 + -14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2611*71356.\nAnswer: 18631.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 1. Suppose -x = x - z. Solve -x*q - 4*b + 7 = 0, -b = -2*b + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 30496982 in increasing order.\nAnswer: -4, -2, 30496982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -244597\/53694 + -1\/5966. Find the common denominator of 10076\/(-2420) - (-1 - 12\/(-10)) and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.019 - -0.981. What is the smallest value in -1\/6, 2\/127, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = a + 3326, 0 = -5*u + 3*u - a + 6640. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h**5 + 2*h**5 + 6*h**5 - 52*h**2 + 9*h**5 wrt h.\nAnswer: 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -18. What is the highest common factor of 232 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011010110000 - 100?\nAnswer: -11101011010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 <= 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51897 is divided by 1297?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395, -1625, -3681, -6545, -10199?\nAnswer: -14625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20785 divided by -21?\nAnswer: -20785\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33292026 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2544 = -194*b - 604 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 4. Let y be r(6). Suppose -2*x - 3 = 5*l - 5, -42 = -y*x + 5*l. Calculate the highest common factor of x and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1646 - -2347. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/495 and -79\/1214466?\nAnswer: 18216990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 21 + 42 = 0. Let v(m) = -m**2 + 8*m + 7. Calculate v(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*q**5\/7 + 33146*q**4\/7 - 1150340*q**3\/7 + 11322384*q**2\/7 + 12920832*q\/7 + 414720\/7 = 0. Calculate q.\nAnswer: -1, -4\/121, 24, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 47 - 2 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -4*b + 2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**3 - 7395*c**2 - 1665175*c + 5062215 = 0. Calculate c.\nAnswer: -1201, -281, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 f when three letters picked without replacement from {i: 9, f: 1, b: 2, u: 1}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -270*p**3 + 175*p - 80*p**2 - 90 - 235*p**3 + 500*p**3 = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(1*sqrt(144)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 4 - 4)*((-2*i**3 - 2 + 2)*(1 - 2 + 0) - 6*i**3 + 0*i**3 + 2*i**3 + 2*i**3 + i**3 - 4*i**3).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 7:06 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13484 - 9963. Is 3519 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbppopbibcp. Give prob of sequence cco.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-34))\/(10\/5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/2 of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, 29, 125, 277, 485, 749?\n\"Answer: 28*m**2 - 44*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28440.41 minutes in milliseconds?\nAnswer: 1706424600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 712439 - 2779866. Let u = z - -1368461. Round u to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 8*z - 3*z. Let u(d) = 2*d**2 + 2*d. Let t be u(z). Suppose -t*y + 14*y = 28. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 231067 to the nearest one thousand.\nAnswer: 231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2161412, -4322931, -6484450, -8645969, -10807488, -12969007?\n\"Answer: -2161519*t + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (820 - 820 - 386*a)*(-2 + a + 2).\nAnswer: -386*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21747\/10 + -2170. Let c = 33 + -74. What is the common denominator of s and c\/(-4) - 4\/(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*c - 3 + 10 + 537*c.\nAnswer: c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868 - 988 = 43*w - 1555 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -3)*(3 + (-6)\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -15) + 3 + 0 + 5 - -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/427 + 8\/61. Which is the closest to -0.2? (a) 3\/4 (b) o (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.87 - 0.13. Suppose -28*r + 32*r - n - 22 = 0, -3*n + 9 = 3*r. Which is the closest to -1? (a) r (b) w (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7473.\nAnswer: 3, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1830 + 2456 = 60*n + 1646 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhylbylshllhl. Give prob of sequence lsyh.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5}. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28105*d**5 - 8*d**2 + d + 331.\nAnswer: 1686300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.06 - -0.06. Let t = 111 - 325. Let v = t + 214.4. Sort d, 4, -0.4, v in increasing order.\nAnswer: d, -0.4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + 39. Let i = -50 + u. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 83 = m, 0 = -m + 2*m - 1. Let w = 52 + s. Calculate the remainder when 15 + 5\/(10\/6) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*p + 13*p + 181*p**2 - 3*p + 75*p + 58*p wrt p?\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -703001 and -703011 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 7. Let l be i(3). Let y(o) = 4*o + 3*o - l*o - 1. Let v be (2 - 3)*1*3. Calculate y(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (10 - 5) - (-45 - -40) - -6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(12) + sqrt(48)))\/(sqrt(36)\/(-1*sqrt(6)))*-2)**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2. Let j(f) = -234*f - 2. Determine j(n(q)).\nAnswer: 468*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j - 15. Let h be j*(18\/15 + -2). What is u in -h*u**2 + 2*u**2 + u**2 + 1 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 - 46*t + 28. Determine u(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - (-7 - (-27 - -3)))\/(-2). Solve -w*j = -44 + 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -961822669815.5+0.4\nAnswer: -961822669815.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.7497 rounded to 1 decimal place?\nAnswer: 20.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 97948?\nAnswer: 2742544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26675771457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -266\/477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/(-2784)*3*465\/(-4030)?\nAnswer: 3\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5040, -5046, -5052, -5058, -5064, -5070?\n\"Answer: -6*y - 5034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 536666300 to the nearest 1000000.\nAnswer: 537000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -11 in ascending order.\nAnswer: -11, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6 = c - m, 3*c - 4*m + 19 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 18*u**2 + 17*u + 15. Let v be b(-17). Let q be (-3)\/v + (-5)\/(-25). Suppose z + 5*f - 25 = q, -24 = -z - 3*z - f. Solve 3*y = z*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 6. Suppose v*c = 2*c + 2*m + 19, -4*c + 22 = -m. Suppose c + 5 = 5*f. Solve -w + 1 = -2*y - 1, -f*y = -5*w - 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r + 2. Let l(c) = -c**2 + 46*c - 11. Calculate -2*l(k) - 11*w(k).\nAnswer: 2*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 8) to base 2\nAnswer: -1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*t**2 - 78513784*t + 78513784*t.\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269087.\nAnswer: 7, 13, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 21. What is the greatest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4776)\/182*(-40)\/15. Let h = 492\/7 - s. Is h <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.623791t to milligrams.\nAnswer: 4623791000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + -4*(sqrt(272) - -1*sqrt(272) - sqrt(272)))**2 - (4 + -4*(sqrt(85)\/(sqrt(5) + (sqrt(25)*-2)\/sqrt(5)))**2).\nAnswer: -192*sqrt(17) + 4452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.1. Let c = -3.7 - -3.5. What is the nearest to t in -1\/6, c, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2143 (b) -162 (c) 12 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(243) + 3*sqrt(243) + sqrt(243) - (sqrt(243) - -3*sqrt(243))*-2) + 0)**2 + -1.\nAnswer: 41066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300 - -4?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t - 3. Let c(y) = -23*y + 5. Let d(a) = -3*c(a) - 5*n(a). Let h(g) = 5*g - 4*g + 8*g - 11*g. Calculate d(h(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002032839 to 7 decimal places.\nAnswer: 0.0002033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 90. What is the highest common divisor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -59*a**2 - 604*a - 92. Let m be r(-10). Let t be 0 + (1 - 0) + 511. What is the highest common divisor of t and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 7*t**2 - 8*t + 5. What is o(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 148 - 908 = 0. Calculate the greatest common factor of d and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1996 is divided by 87.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 5, -6.2, 7, -0.5, 1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1455*t**3*u**3 + 2*t**3*u**2 - 317*t**3*u + 91317*u**4 - u**2 + 6772 wrt u.\nAnswer: 8730*t**3 + 2191608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 12 + j**2 - 12.\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0994314 litres to millilitres.\nAnswer: 99.4314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(((q\/(((q**(2\/25)\/q)\/q)\/q))\/q)\/q*q)*((q\/q**(-23))\/q)\/q*q**(-2\/3)*q*q*q**(2\/27) assuming q is positive.\nAnswer: q**(14504\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15466 (base 9) to base 12\nAnswer: -6166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 4*i**2 - 37 - 2*i**2 + 13.\nAnswer: -6*i**2 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6148716836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z. Let q(d) = -273*d. Let u(t) = -156*h(t) - 3*q(t). Let j(m) = -2*m. What is u(j(c))?\nAnswer: -78*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*s + 215 = 2*n, 2*n - 80 = -4*s. Suppose 5*c = 3*a + 227, -n - 45 = -2*c + 5*a. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596358991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 62 = -4*q, 4*c + 4*q - 356 = -132. Suppose -9 = -2*j - 61. Let k = -12 - j. What is the remainder when c is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3137448, 6274970, 9412492, 12550014, 15687536?\n\"Answer: 3137522*i - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 449 (b) -94 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1306*b**2\/11 - 2740*b - 28896\/11 = 0. What is b?\nAnswer: -602\/653, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7222*u + 29 = 5*o - 7226*u, 2*o + 3*u - 7 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.067 * 30.256.\nAnswer: -2.027152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 0.383794682352.\nAnswer: 0.583794682352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 0*p + p**3 + (-151*p + 12*p**2 + 151*p)*(-3*p + p + 0*p) to the form c*p**3 + v*p**2 + o + k*p and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23717352 by 7905784.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 14. Let r = 4277.6 + -4278. What is the second biggest value in f, r, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqrrrjrwk. Give prob of sequence kr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (68\/(-72) - -1)*-4. Let z = 5\/18 - m. Which is the closest to -1? (a) 0.4 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 5:54 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 329227 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10460 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/5 + 3192*s**3\/5 + 889056*s**2\/5 - 3528663264*s\/5 + 288174166560.\nAnswer: -2*(s - 882)**3*(s + 1050)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 8*q**2 + 9*q + 10. Let d be b(-7). Does 17 divide (27 - 44)\/(2\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4\/5 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -128 and 830600.01.\nAnswer: 830472.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 4, e: 5, c: 2, k: 7}. What is prob of picking 3 e?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -926*m + 925*m + 85553 = -3*s, 3*m - 256673 = 2*s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*40*(-26)\/2145.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from tttk.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 7*o + 0*o - 1063 - 567.\nAnswer: -3*o - 1630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 13 (c) -12 (d) -673\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.8, -2\/19, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*j**3 + 63*j**3 + 2*j + 0*j - 2*j.\nAnswer: 33*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, i: 1, x: 1, f: 7, u: 4, s: 4}. Give prob of picking 1 i, 1 g, and 1 f.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 1:46 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/12 - 4*o**3\/3 + 7*o**2\/2 + 7*o. Let k be (-63 + -14)\/7 + 19. What is x(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 1705 = 9*z. What is the common denominator of (-738)\/z - (-1)\/8 and 6\/(-27) + (-283)\/144?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 337 - 337 - 22*d. Let k(u) = -u + 1. Suppose -3*l + 0 = 3. Let f(s) = 2. Let y(x) = l*f(x) + 2*k(x). Calculate j(y(i)).\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (14 + -12 - (9 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 150357*r**2 - 58373043*r - 5643782235.\nAnswer: 3*(r - 50505)*(r + 193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13380, 15849, 18318, 20787, 23256?\nAnswer: 25725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 332615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2 - 165798430*a - 331596880 = 0 for a.\nAnswer: -2, 33159688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3242?\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1392 = -13*b + 29*b. Let p be (b\/145)\/((-3)\/10). What is the second derivative of -56*u**5 + 2*u**p - 14*u - 2*u**2 + 82*u**5 wrt u?\nAnswer: 520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6014051\/75552084 + 10\/67699. Find the common denominator of 43\/14 and z.\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 7:13 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 31.53. Let j = l + -0.1. Let k = j - 0.03. Sort 0.5, k, -2 in increasing order.\nAnswer: -2, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13337, -13335, -13333, -13331?\n\"Answer: 2*o - 13339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 121*h**2 + 838*h - 454. Give i(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.47 and 181252.\nAnswer: -85188.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1290.337ug to milligrams.\nAnswer: 1.290337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 3*l + 15. Suppose -4*p + 13 + 15 = -l*o, -3*p = 4*o + 4. Let h be 18\/(-1 + p) + -1. Sort h, -4, -5.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 11 + 19 = 0. Let a be 1 - (-5)\/(u\/(-2)). Let x(q) = q + 1. Let v(d) = -3*d - 3. Let h(m) = -3*v(m) - 8*x(m). Calculate h(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from yeeyeyyeyeyye.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 74*o**2 + 67*o - 71. What is a(-73)?\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 7. Suppose -d - d + h = 0. Sort 0, d, -3 in decreasing order.\nAnswer: d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*g - 152, 4*g + w - 42 - 110 = 0. Is g a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1227)\/6135)\/(4\/(-1600))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 536 (b) 0.3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4 = -p, -p - 4*f - 13 = -7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, q: 1, d: 2}. What is prob of picking 2 d and 2 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 396813981*d**3*g**2 - 3*g**2 - 1599872 wrt d?\nAnswer: 1190441943*d**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 86?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**5\/12 + 5*j**4\/4 - 20*j**3\/3 - 40*j**2. Factor n(a).\nAnswer: -5*(a - 4)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2692, 0.4, -15.42, 2\/23.\nAnswer: -2692, -15.42, -0.2, 2\/23, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163339 and 341.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 3 + 61*i**3 - i - 62*i**3 + 2. Let c(u) = -3*u**3 + 5*u**2 + 5*u - 5. Give 5*b(n) - c(n).\nAnswer: -2*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -25*p**2 + 3*p. Let g(s) = 37*s**2 - 4*s. Let b(h) = 5*g(h) + 7*y(h). Is b(2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/8 + -1)*4\/3. Let y(h) = -7*h**2 - 5. Let f(q) = -1. Calculate v*f(g) - y(g).\nAnswer: 7*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thstutthhthts. Give prob of sequence ht.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -3*j**5\/10 - j**4\/12 - j**3\/3 - 3*j**2\/2 - 79*j. Find the second derivative of i(y) wrt y.\nAnswer: -36*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -12, 308848.\nAnswer: -12, 44, 308848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*w**2 + 45*w**3 - 4*w**3 + 256*w**2.\nAnswer: 41*w**3 - 36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 304 = 4*r, 1840*r - 1833*r = -3*i + 278. Suppose -3*s = s - 96. What is the least common multiple of i and s?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 4*k**2 - 4*k + 2. What is n(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 27121036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.047 and 0.702.\nAnswer: -0.032994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.869 + 1.131. Which is the closest to 4\/13? (a) -2\/19 (b) q (c) 2\/13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c + 16 + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 66513, -135.\nAnswer: -135, 14, 66513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = -z - 19, -5*z = -3*t + 19. Suppose w = -4 + 9. Let k be 20\/w + 2*-1. Calculate the highest common divisor of t and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 33*18\/(-216)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5639, -22531, -50687, -90107, -140791, -202739?\nAnswer: -275951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 + 4 - 3 - (4 - 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8148137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/314 + 13029\/628. Let i(c) = c**3 - 14*c**2 + 17*c - 31. Let j be (32 - 24) + (5 - 0). Let r be i(j). Which is greater: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0 - 3\/8*u**4 + 1\/6*u**3 + 2*u - 1\/120*u**5 + 0*u**2. Let k(m) be the second derivative of g(m). Calculate k(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10003 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.53047 * -710.1\nAnswer: -376.686747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14709083*r**4 + 338941 wrt r?\nAnswer: 58836332*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 3 + -6)*1\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*o)*(3 - 5 + 4)*(3*o**2 - o**2 - 4*o**2).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (0 + (-9)\/(-36))*(3 + 5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16202251, 32404504, 48606757, 64809010, 81011263, 97213516?\n\"Answer: 16202253*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + (sqrt(77) - 6*(sqrt(77)*-4 + sqrt(77) + sqrt(77))) + sqrt(77))\/sqrt(7)*-1.\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 9:38 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.262 and 0.4?\nAnswer: 7.3048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178885.\nAnswer: 5, 7, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1725 and 483.\nAnswer: 12075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 190, 250, 326, 424, 550, 710, 910?\nAnswer: 1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 9:02 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0, 23.\nAnswer: -4, 0, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 8*c - 231. What is the greatest common divisor of c and 918?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-2)\/12)\/((-3)\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360041?\nAnswer: 3, 453347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -296335180*b**3*p**2 - 1933*b**2 - 6145*b*p**2 wrt b?\nAnswer: -1778011080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**8\/24 - z**4\/8 + 7*z**2\/2 + 15. Let v(k) be the second derivative of c(k). What is the second derivative of v(l) wrt l?\nAnswer: -280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 0) + (-2)\/(-1). Let c be -7 + 10 - (i - 44). What is the derivative of -c*w + 1 + 47*w - 2*w**2 wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p**2 + 7*p - 7. Suppose 0 = -9*d + 5*d + 8. Let n(t) = -t + 1 + 0*t + t**2 - 2*t**d. Calculate 21*n(k) + 3*w(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 708.817g to tonnes.\nAnswer: 0.000708817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:55 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -938*w**2 - 415*w + 2082*w**2 - 43*w wrt w?\nAnswer: 2288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and 0.15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9215809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101071, -404056, -909027, -1615984, -2524927, -3635856, -4948771?\n\"Answer: -100993*v**2 - 6*v - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.313239429 to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Let m = -3213 - -3213.3. Sort -2\/9, o, m, -5\/2 in increasing order.\nAnswer: -5\/2, -2\/9, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + z - 469. Let f be o(0). Let j = -2 - f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-1)))\/(i\/(i*(i\/((i**6\/i*i)\/i))\/i)))\/(i**(1\/3))**9)\/((i**(2\/3))**21)**(9\/4) assuming i is positive.\nAnswer: i**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.1, 0, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + 2*c)*(2 - 3 + 2 + (1 - 2 + 0)*(-1 + 5 - 5) - 2 - 5 + 6 - 330 - 208 + 136).\nAnswer: -802*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142 and 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, v: 2, i: 4, w: 1}. Give prob of picking 1 w, 2 v, and 1 k.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 17*k - 33. Let d be w(-19). Suppose -j - 19 = 2*g - 6*j, j - d = 0. Let o(r) = 2*r**2 - 4*r + 1. Does 3 divide o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1.9.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (7 - 5) - (3 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 z when three letters picked without replacement from ffvvvvffvzfzzvffzff?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w - 19*w**2 + 15*w - 28*w)*(2*w - 6*w + 0*w) as z*w**3 + k*w + l*w**2 + h and give l.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218 - 215. Which is greater: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t = 96*t - 12121179. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0*g**4 - 3*g**2 + 13\/40*g**6 + 0*g + 0 - 49\/60*g**5 + 0*g**3. Find the third derivative of u(m) wrt m.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276 or -278?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**3\/3 + 29. Let z(p) = 2*p**2 + 0 + 0. Give z(q(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:53 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 - 112*j**2 + 111*j**2 + 18 - j + (1 - 1 + j)*(-2*j + j + 0*j) in the form f + x*j**2 + z*j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4 - 2) + 5 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158704 (base 10) to base 12.\nAnswer: -77a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 40*w + 13*w. Suppose 3*m - a - 66325 = w, 41651 = -5*m - 4*a + 152204. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 8:33 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*o + 222*o + 11371 = 12103 - 37461 for o.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 3*d**2 - 3*d + 5. Let x(z) be the first derivative of z**4\/4 - 2*z**3\/3 - z**2 + 3*z + 11. What is 3*b(q) - 5*x(q)?\nAnswer: q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -5 + -3 + -5 + 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-c + 0*c + 2*c + (2 + 4 - 4)*(-3*c + 0*c + 5*c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -9, 0.07, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 4. Let a(r) = 1. Let q(p) = 3*a(p) - c(p). Is q(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d + 38*d = -m + 448, -m + 400 = 4*d. Suppose -48*b + m + 4\/3*b**2 = 0. Calculate b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - m**2 - 6*m + 7. Let y = -6 + 9. Let w be f(y). Let z(h) = -8 + 1 + 8*h**2 + w. Let q(n) = -n**2. Give q(z(j)).\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/3436 - 6881\/10308. Let f be (-1)\/(-6)*36\/(-16). Which is the fourth biggest value? (a) 1 (b) f (c) 0 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2336*s + 3004104. Calculate y(-1286).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(-2 - 1 - 2)*(5*c - 23*c - 13*c + (3 - 2 + 1)*(-c + 4*c - c)) to the form w + m*c and give m.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d - 2. Calculate j(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - (-28)\/(-8))\/(1\/(-14)). Let l be 2\/(-1)*(1 - 3 - a). Let z be 66\/l - 2\/3. Solve -5*y - 3 = p + 10, -y - z = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 4}. What is prob of sequence ou?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.1002.\nAnswer: 0.0501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102*k - 18 - 289\/2*k**2.\nAnswer: -(17*k - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1215 and 1350.\nAnswer: 12150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29195390, 58390782, 87586176, 116781572?\nAnswer: 145976970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 - t**2)*(-43*t + 2*t + 74*t)*(-222 + 222 - 15*t).\nAnswer: 495*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*h**2*p - h**2 + 14*h*p - 2*h - 3454*p + 1 wrt h.\nAnswer: 8*h*p - 2*h + 14*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbntbzknzebbnbnt. Give prob of sequence bet.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3634*c**3 - 1797*c**3 - 1845*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-504) + -4*3\/(-48) - 38675\/12495?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32142 divided by 3047?\nAnswer: 2922\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -539 in 0, 4, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/7 + 124*a**2\/7 - 128*a\/7.\nAnswer: 4*a*(a - 1)*(a + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + ((sqrt(75) - (-2 + sqrt(75)*-4))**2*-6 - (1 + (1*sqrt(75) + 2)**2)).\nAnswer: -11357 - 620*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23 and 0.65.\nAnswer: 23.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155513.\nAnswer: 41, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 18*x - 170 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 192 = -9*t, 2*t - 467 = -473 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/10 (c) 5 (d) -89\/777\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 33*r + 11*r. Let n(t) = 3*t**2 + 1. Let h be n(-1). Calculate the highest common factor of h and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7233032.\nAnswer: 2, 179, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -1 (b) 0.1 (c) -5 (d) 88557 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 30 - 0. Let s(g) = g**2 - 6*g + 3. Let k be s(a). Suppose -m + 26 = 2*b, k*m = -b - 4*b + 64. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 18 = 2. Let p be y\/2*(-12)\/15. Solve p*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 3*k - 2*k)*(-33*k - 53*k + 30*k)*(5 - 5 - 2) to the form m*k**2 + y*k + r and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 66*g - 7*g + 25*g + 12*g + 280, 3*z + 4*g = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 33 - 3 - (-5 + 1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 188. Let y = 87 + i. Find the common denominator of 19 and 2\/6 - (-356)\/y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ool when three letters picked without replacement from {l: 3, m: 1, o: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -26, -158, 2\/29, 125?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 8*b + 2. Calculate the remainder when x(5) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a - 2. Let z(d) = -9*d + 2. Suppose 5*g = -3*f - f + 10, 32 = 2*g - 4*f. Calculate g*z(v) + 5*n(v).\nAnswer: -14*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 5, -1, 2, 3, -155 in descending order.\nAnswer: 125, 5, 3, 2, -1, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z - 12. Let k(x) = 1. Let d(s) = s**3 - 12*s**2 + 10*s + 12. Let t be d(11). Let h(a) = t*y(a) + 10*k(a). Is h(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3244 - 3204. Is z equal to 773\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -391, -956, -1775, -2866, -4247, -5936, -7951?\nAnswer: -10310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -691 (base 10) to base 14\nAnswer: -375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6498 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17739330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1104*j**2 + 19999*j + 2291. Give w(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -268 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 434*r**2 - 29150*r - 623598.\nAnswer: -2*(r + 53)**2*(r + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 17*g - 22. Let z be a(-18). Suppose y = 3*s - 130, -5*s = 2*y + 2*y - 211. Calculate the remainder when s is divided by (z\/6)\/(2\/(-33)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 23. Suppose -2*i + 5*x = -0*i + b, 5*i - 25 = -x. Let m = 37 - 21. Solve 3*g + i = m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 1. Let x(w) = 24*w - 11. Let n(h) = 22*j(h) + 2*x(h). Let y be n(12). Solve -3*k = -8*k - 2*q + 18, 4*q + y = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c + 2*r = -802, -4*r = -4*c + 800. Let v = c + -99. Suppose 4*o - v = o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(27\/2) + 0\/(9 - 7). What is the fourth biggest value in y, 0.3, 1, -0.057?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8990 is divided by 2244.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 205 - 37 = 0. What is the highest common factor of t and 936?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-11 + 33 - 3)*(-3*u**2 + 5*u**2 + 2*u**2)*(-4*u**2 + 7*u**2 + u**2).\nAnswer: -608*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 525*s**2 - 80*s - 179. Calculate l(-2).\nAnswer: 2081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -562 + -2100?\nAnswer: -2662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/2 + 83*s**3 + 5249*s**2\/2 + 25228*s + 75264 = 0. What is s?\nAnswer: -128, -24, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3)\/(1 + 1). Suppose -5*v + 5*w = 0, -5*v - 2 + 10 = 3*w. Which is smaller: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297326.\nAnswer: 2, 3, 463, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5 + 16*q**4 - 912*q**3 - 1216*q**2 + 44288*q - 107520 = 0. Calculate q.\nAnswer: -14, -10, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.0724955 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 3*m + 2*m**2 - 59 - 4*m.\nAnswer: 2*m**2 - 7*m - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2. Let a(c) = -7 + 23 - 41 + 5613*c + 25. Calculate i(a(w)).\nAnswer: 31505769*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 9*t - 2. Let n(a) = -2*a - 4. Let d be n(-5). Let f be 3\/(-1)*8\/d. Let b be u(f). What is the greatest common divisor of b and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*m**2 + 4*m - 1514 wrt m.\nAnswer: -160*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-374*d**2 + 372*d**2 - 36*d**3 - 2*d**5 + 96*d**3).\nAnswer: 4*d**5 - 120*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3191*f**3*s**3*t - f**3*s**2*t**3 + 2*f**2*s**3*t**3 + 198*f**2*s*t - 11*f*s**3 + 2*f*t**3 wrt f.\nAnswer: 19146*s**3*t - 6*s**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28399 - 1.8.\nAnswer: 28397.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -264\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 g when three letters picked without replacement from oettgetogee.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 = 0, -5*f + 4312 = 5*w - 12128. Calculate the highest common divisor of 45 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(4))\/sqrt(7))**2 - (-5 + (sqrt(18))**2 - sqrt(2)).\nAnswer: -11 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/840 and 31\/140.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 + 0*r**2 + 3*r**2 - 3*r**3.\nAnswer: -3*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15511, 62339, 140275, 249313, 389447?\nAnswer: 560671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 864742112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160837 divided by 88.\nAnswer: -160837\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266702433 to the nearest integer?\nAnswer: 16331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 201693.8 centuries in millennia?\nAnswer: 20169.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 1072002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 6, -21, 4, 363 in descending order.\nAnswer: 363, 6, 5, 4, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w = -50*w - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264378 is divided by 7145?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**2 + 955*g + 7960 = 0. Calculate g.\nAnswer: -8, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 914 * -4.\nAnswer: -3656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 7) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**5\/20 + x**4 - 7*x**3\/3 - 13*x**2\/2 + 16*x. Let y(l) = -12*l**2 + 29*l + 28. Let u be y(-1). Calculate s(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1102 + 492 = -115*s - 1396 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 1083*x**2 + 93600*x - 1040364.\nAnswer: 3*(x - 234)*(x - 114)*(x - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 187?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**3 - c - 3. Let q(m) = -7*m**3 + 2. Let l(f) = 2*j(f) + 3*q(f). Find the second derivative of l(v) wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - ((8 - (40355 - 1)) + 1 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/167 - 14507\/334. Let j = 45 + h. Let v be (-6)\/10 - 2\/5. Which is the closest to v? (a) j (b) -0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/61))**(-30\/7)*z\/(z*z**(2\/31))*z*z*z*z*z*z\/(((z\/z**(6\/11))\/z)\/z)*z*z*z assuming z is positive.\nAnswer: z**(1546558\/145607)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84*129\/(9933\/(-2))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/26 - 37\/390. Suppose 0 = -7*w + 18 - 32. What is the fourth biggest value in w, z, -1, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 1, 2989\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -5, 4, -23 in descending order.\nAnswer: 4, -3, -5, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*n**3 - 395*n**2 + 23693 wrt n?\nAnswer: 105*n**2 - 790*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 4:18 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 29701360.\nAnswer: 29701364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 987199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879378909?\nAnswer: 3, 3613, 81131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/6)\/(4\/(-8)). Suppose -p*x + 128 = 28. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2)*r*r)**(-26))**16 assuming r is positive.\nAnswer: r**(-1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54796*o**5*x - 94*o**5 - 8*o**2*x - 8*o**2 + 2*o - 49994*x wrt o?\nAnswer: -3287760*o**2*x - 5640*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*n**3 - 33 + 33 - 228*n**3.\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359923 is divided by 277.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846128.\nAnswer: 2, 52883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idigxuuguiigiugd. What is prob of picking 1 x, 1 u, and 1 d?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-5) + 9\/(-45). Let y be 4 + ((-36)\/3)\/4. Suppose -2*s + s + y = 0. Sort -3, 3, t, s.\nAnswer: -3, t, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51935*g**2 + 5*g - 51936*g**2 + 103870*g**2.\nAnswer: -g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387483.\nAnswer: 857, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*b + 15*b**3 - 9*b**3 + 2*b**3 - 1409*b.\nAnswer: 8*b**3 - 1862*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7699*u**3 + 7699*u**3 - 2765*u**5 + (-1 - 2*u + 1)*(u**4 + 0*u**4 + 0*u**4).\nAnswer: -2767*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -264*-3*(-8)\/(-36). Let t = b + -174. Solve 12 = 5*u - 0*u + w, -u - t*w = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l + 62*l - 81 = -2*l. Suppose 4*f = 3*f + 2. Calculate the least common multiple of l and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 30 - 2\/1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(34)\/sqrt(2) - (0 + (sqrt(68)\/sqrt(4) - sqrt(17)))) + -1.\nAnswer: -1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**4 - 8380*q**3 + 8390*q**2 + 8380*q - 8385 = 0.\nAnswer: -1677, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(6))\/sqrt(3) + ((sqrt(2) - (sqrt(2) + 0))*2 - sqrt(14)\/(sqrt(21)\/sqrt(3))) + -2)**2.\nAnswer: -12*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 6 = 7*u - 2*u, 4*g + 1653 - 1641 = -22*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(539)*2 - (1 + sqrt(539)*-3 - sqrt(539)).\nAnswer: -2 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17214416 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d*(d\/((d*d**(-32))\/d)*d)\/d))))\/d**5 assuming d is positive.\nAnswer: d**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5569535 kilograms to milligrams.\nAnswer: 556953.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y + 49. Suppose -117*i + 116*i + 2 = 0. Let q be (5\/(-15))\/(i\/(-48)). Is w(q) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 510 + 1676. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103556 or -103550?\nAnswer: -103556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + j - 4 = 0, 10*j = -3*u + 5*j + 20. Let 12\/7*q**4 + u - 3\/7*q**3 + 0*q - 9\/7*q**5 + 0*q**2 = 0. Calculate q.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + 326. Suppose -12 = 3*a, -4*k + 6*a = a - w. Find the second derivative of -k*o**3 + 73*o**3 - 11*o - 18*o wrt o.\nAnswer: -84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m - 211 = 1518 + 4197 + 3538 for m.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, 6 in descending order.\nAnswer: 6, 5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1353 = 336*j - 213*j. Solve 0 = -x - 2*q + 6, 5 = x - 2*q + j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**2 - 94*r + 21. Determine q(6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -966031, -1932049, -2898059, -3864061?\nAnswer: -4830055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 2*k**3 - 8*k - 3*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + 533?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15725 - (11 - ((-5)\/(-15))\/((-6)\/(-72)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 295 = -2*i, 3*a + 3*i + 2*i + 208 = 0. Which is smaller: -62 or a?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15437 is divided by 15355?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k*k)**(-48)*(k**(-1\/3)*k)\/k**(-5)*((k\/k**0)\/k*k)**(-5\/12)*k*k**(-1\/7)*k*k*k\/k**(-3) assuming k is positive.\nAnswer: k**(-3693\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 < 967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 63. Let p = 4 + -4.8. Let b = 0.2 - p. Is z bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 17.5\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(7) + sqrt(28)\/(sqrt(4) - sqrt(256) - sqrt(4)) + sqrt(7) - ((sqrt(343) - sqrt(343)*4) + 4))**2*6.\nAnswer: -4941*sqrt(7)\/2 + 718821\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47127140 or 47127143?\nAnswer: 47127143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7467*u + 0 + 0 + 7468*u. Let v(r) = 1615*r. What is f(v(c))?\nAnswer: 1615*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6)*3*-23. Suppose -x = -5*j - 3*z - 11, -z = -5*j + 35. Which is the biggest value? (a) -2 (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 1, -0.07, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 2, h: 1, r: 3}. What is prob of picking 1 r and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102941 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 310\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 20 - (-1 - -5) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6740 divided by -4.\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((2109\/(-76))\/(-37))\/((-15)\/36)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 43, -27 in increasing order.\nAnswer: -27, -6, -3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**2*w**2 + 36*a**2 - 26*a*w - 4*a - 142*w**3 wrt w?\nAnswer: -30*a**2 - 852*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 10 = 0, 45*h + 2*o - 5531 = 42*h. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*c - 733893 = -740220 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:39 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + l + 12 = 0, -5*d - 4*l + 17 = 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35441565 (base 8) in base 16?\nAnswer: 764375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**5 - 12*y**4 - 12*y**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*x - 11, 3*x + 28 = 4*v. Solve 0 + 0*w - 1\/4*w**3 - 1\/4*w**2 + 1\/4*w**5 + 1\/4*w**v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/6 - 3*n**3\/2 + n**2\/2 + 6*n. Let o be s(6). Suppose -4*y = -0*y - 12. Solve u - o = -4*h + 3, -y*h = -15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -675878, -675880, -675882, -675884, -675886, -675888?\n\"Answer: -2*z - 675876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - 13b23?\nAnswer: -13b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/4*152\/570?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k - 10 - 130 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83\/111 + -3\/37. Suppose -348*b + 345*b = 0. Let n be 82 + -88 - (1 + -11 + b). What is the third biggest value in -0.09, n, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1384727 divided by 4\nAnswer: 1384727\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-12))\/((5038\/264)\/229).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 8*k + 15. Differentiate 5*c - 6*c + 6*c + 7*c + k with respect to c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46265987?\nAnswer: 46265987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + 518206366382883*k - 518206366382883*k.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2)*s*s**(-1\/5)*s*s*s**(-7)*s*s\/s**(-8) assuming s is positive.\nAnswer: s**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 459.355905 rounded to one decimal place?\nAnswer: 459.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f = 26*f - 24*f + 135 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000140778 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-two fifths of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-72)\/10)\/(5\/(-25)). Suppose -32 = -4*j + d. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 12. Suppose -v + 22 + 6 = a. Suppose -4*u - u = g - 73, 2*u = -g + v. What is the remainder when 43 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 233654326 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose s - 26 = -4*c, 2*s + 2*s - 5*c - 62 = z. Solve -4*a + 2 = 5*d - s, -2*a - 5*d + 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 736435143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**8\/630 + r**7\/1680 - 29*r**5\/20 - 2*r**2 - 3. Let x(b) be the third derivative of p(b). Let n(k) = -k. Calculate n(x(w)).\nAnswer: -32*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 22*v**2 + v + 1. Let o(j) = -27*j**2 - 2*j - 1. Give -4*o(l) - 5*s(l).\nAnswer: -2*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 = 7. Suppose 3*z = 5*w + 12, 0 = -z - 2*w - u*w + 4. Suppose -7*a + 84 = -z*a. Solve a = 2*f - 4*t, -t + 11 = 4*f - 0*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20908.197 and -0.2.\nAnswer: 20907.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 166650*y**2 - 29305*y**2 + 2 + 59785*y**2 + 10370*y**2. Let p be u(2). Round p to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, 9, -7 in ascending order.\nAnswer: -7, 2, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - q + q - q - 3*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1604*-0.14743.\nAnswer: -236.47772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwvw?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52216046?\nAnswer: 2, 26108023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-20)\/(-12))*(-20 + -1). Let w(z) = 29*z**2 + 9*z + 5. Is w(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 70811, -0.5?\nAnswer: 70811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1 + 9\/2). Let r = 15802 - 2291302\/145. Let i = r + 14\/29. Which is the third smallest value? (a) -1 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r - 88. Let t = r + 24. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 26. Suppose -2*z + h = 3*r - 4*r, 0 = -3*z - r + 33. Let d = 33 + -27. What is the remainder when z is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/4 - 15*y**4 - 131*y**3\/2 + 177*y**2 - 385*y\/4 = 0.\nAnswer: -55, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 4*h**3\/3 + 5*h**2\/2 + 74*h. Suppose 2*m - 24 = -m. Is 20 a factor of f(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -6 + 2. Suppose 0*v - 4*v - 40 = -4*m, -3*m - n*v + 5 = 0. Suppose -5 = -2*h + o + 2, m*o - 21 = -4*h. Solve -3*d - 1 = -13, 4*t + h*d = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -2. Let v = -11 - w. Let k = v - -13. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from jjtdlmtttjtddllggljl?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (942*c - 2779 + 2779)*(-5*c + 0*c + 3*c + 9) in the form f*c**2 + q + p*c and give p.\nAnswer: 8478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41, -99, -135, -101, 51, 369?\n\"Answer: 8*k**3 - 37*k**2 - 3*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnppppppnpppp. What is prob of picking 1 n and 3 p?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2158187?\nAnswer: 71, 113, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, o: 4, f: 2, a: 4}. Give prob of picking 2 o.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13637394, -54549568, -122736516, -218198232, -340934710, -490945944, -668231928, -872792656?\n\"Answer: m**3 - 13637393*m**2 - 2*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 19*d. Let b(a) = 10*a**2 + 99*a. Let w(t) = -2*b(t) + 11*c(t). Let u be w(-5). Sort 4, -30, u in ascending order.\nAnswer: -30, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/51*(-31)\/(-31)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12030, -48200, -108576, -193230, -302234, -435660?\nAnswer: -593580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000267705 rounded to 7 decimal places?\nAnswer: -0.0000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 895 + 743 + 54 + 47 - 20*u**2.\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s + 2007 = 30*s + 4*o, -4*o + 5989 = 3*s. What are the prime factors of s?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-4 + 0))\/1. Let v(h) = 2*h**2 - 8*h - 13. Let y be v(p). What is the first derivative of -y*t**4 + 13 + 29 - 19 wrt t?\nAnswer: -116*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w + 89*w - 182*w.\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -11231.1 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265 + 114 + 75 + 76 - 5*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 - 55*u - 970. Let f(s) = -s**2 - 10*s - 194. Calculate 4*a(c) - 22*f(c).\nAnswer: -2*c**2 + 388","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 369*w - 26 + 15 - 43*w. Is q(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 + 5 + (1 - -3). Sort 4, p, -9 in increasing order.\nAnswer: -9, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0)\/((-2)\/(-3)). Suppose 19*u - 5*n - 10 = 24*u, -2*u - n = 0. Solve -s - u = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 7*y - 4*y. Calculate the least common multiple of y and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 22*t**2 + 7*t + 8. Determine a(-11).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -224358.\nAnswer: 5\/224358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-5))\/(t*(t*t\/((t\/t**4)\/t)*t)\/t))\/(t**(-2)\/t**(-2\/3)) assuming t is positive.\nAnswer: t**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -133*s + 121*s. Solve 8 = s*c, -3*g + 17 + 5 = 5*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255117 is divided by 106?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*x + 4. Suppose 3*s = -x*j + 6 - 79, 5*s - 30 = j. Let v be (-91)\/j + 4\/10. Solve 2*i + 0*i + 4 = -3*l, -4*l + v*i = -23 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 688 = -3*s - 383, -3193 = -3*t + 4*s. Calculate the remainder when t is divided by 178.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.8 and -21566085.9.\nAnswer: -21566083.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 5\/12*j**4 - 1\/2*j**3 + 0 - 1\/20*j**5 + j**2 - 16*j. Calculate v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1074 - 10?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*q = -31, 4*r + 5*q = -10 + 83. Let l be (-84)\/3585*r + (-4)\/(-10). Which is bigger: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164539971 is divided by 559.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 8*t - 5. Let n(c) = -2*c**2 + 5*c - 2. Let f be n(3). Let s = -8 - -26. Calculate the remainder when s is divided by b(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*t - t + 1 = 0, -2*q = -5*t - 4. Let y(l) = 3*l**2 - 3*l - 9. Let g(m) = 5*m**2 - 4*m - 14. Let u(d) = -5*g(d) + 8*y(d). Give u(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3170 = -200*a - 230 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) + 68\/20. Suppose -g*z + 3 = -6. Find the third derivative of w**6 - 3*w**2 - z*w**6 + 0*w**6 + 5*w**2 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 66 = 16*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from trnrsenrsrresrvnsr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -865, -47, 2 in descending order.\nAnswer: 2, -3, -47, -865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2)*((1 + 1 - 1)*(45*m + 24*m - 136*m) + (-3*m + m - 2*m)*(-3 - 4 + 5)) + (2 + 0 + 0)*(0*m - 3*m - 2*m) to t*m + z and give t.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -10104, 4, 1\/2, 903?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Let m(l) = -4 + l + 4 - l**2 - 1. Let c be m(0). Which is bigger: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12476360 times -0.02\nAnswer: -249527.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 30, 67, 132, 231, 370, 555?\n\"Answer: k**3 + 5*k**2 - 7*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 553\/105 - (1 - (-10)\/(-4)). Let k = 56\/15 + m. Let c = -116\/27 + 161\/270. What is the common denominator of k and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258 - 182. Factor -48 + 3*k**2 + 128*k + 28*k**3 - 4*k**4 - 43*k**2 + 12*k**3 - b*k**2.\nAnswer: -4*(k - 6)*(k - 2)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)*y**(4\/9)*y**4*y*y\/((y*y**(-1\/6))\/y))**(-13\/4) assuming y is positive.\nAnswer: y**(-845\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 5, q: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.430951635 rounded to five decimal places?\nAnswer: 0.43095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f**2*p**2 - 666391*f**2 - 44154*f*p**2 - p wrt p.\nAnswer: -10*f**2*p - 88308*f*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9187, 9181, 9163, 9127, 9067?\n\"Answer: -z**3 + z + 9187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.09, 2\/5, -0.3?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -167.3?\nAnswer: -193.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-30*667\/(-690))\/(3\/(-3))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, q: 3, a: 9, k: 2}. What is prob of sequence aaka?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -10. Let p be 30\/4 + 4\/d. Solve 2*c - p*c = -4*l + 6, 5*l + 3*c = 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/877838 and -89\/46202?\nAnswer: 877838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 + s - 161. Let y be i(-7). Let d = -3 - -3. Let j(l) = -3*l**2 + d*l**2 + 0*l**2. Let v(k) = 16*k**2. Calculate y*j(m) + 5*v(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmu when three letters picked without replacement from {w: 3, m: 1, u: 1, d: 2, p: 4, t: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014 is divided by 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 <= 28504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196384 and 73644.\nAnswer: 589152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -2*s + 12*r - 168, -104 = s + 4*r. Put s, -7, -4 in decreasing order.\nAnswer: -4, -7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, k: 1, h: 1, j: 1, u: 1}. What is prob of picking 2 a and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*f = 27*f. Suppose -100 = 2*j - 6*j. Suppose 11 - 1 = 2*p - v, -3*v - j = -5*p. Solve -h = -f*h + p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0. Let o = 1585 + -11096\/7. Let p = -9.9 + 10. What is the nearest to c in -0.5, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170400000 rounded to the nearest one million?\nAnswer: -170000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) 5 (c) 0.66 (d) -56\/13 (e) 0.5 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + d**2)*(-775 + 228 + 15579*d + 315 + 232) in the form b*d + w*d**2 + l + m*d**3 and give m.\nAnswer: 15579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (143\/(-6))\/(-11) - (-3)\/(-4 - 2). What is the nearest to l in 2, -5\/2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*z**5 + 39*z**4 + 39*z**3 + 3*z**2 + 2*z + 13733?\nAnswer: 660*z**2 + 936*z + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5020 (base 8) to base 10\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 69, 93, 117, 141?\n\"Answer: 24*y + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-12)*10\/3. Suppose -c = -p + 3. Determine h, given that 0*h + 2\/9*h**c - 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.8 - 13. Let b = 1.1 + y. Let a = 0.351 - -1.649. What is the biggest value in b, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 1 b when three letters picked without replacement from tbpaubatbbbujabbbtap?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*u**2 + u + 0*u**2 - 3 + 2 as a + w*u**2 + x*u and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**3 + 28*q**4 + 4 - 57*q**4 - 4*q + 32*q**4 to the form f*q + w*q**3 + x*q**2 + l + u*q**4 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 0.054 (b) 2\/17 (c) 1\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*x**2 - 33\/7*x - 54.\nAnswer: 3*(x - 18)*(x + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10950 and -5.4?\nAnswer: -59130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-225)\/45*3\/(-20)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245065, -246061, -247059, -248059?\nAnswer: -249061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 2*o**2 + 51. Give z(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*n + 480 = 178*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 + 11*t**4\/12 - 19*t**3\/6 + 13*t**2\/2 + 44*t. Let x be p(9). Let i(v) = -3*v - 1. What is i(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4, -94 = -4*u + 2*p. Let z be (5*(-5)\/(-70))\/(30\/u). Factor -3\/7 + 1\/7*v**2 + z*v.\nAnswer: (v - 1)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiayiou. Give prob of sequence uyou.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298231 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-133)\/245*96\/(-456))\/(10\/7)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 0*z**2 + 0*z**2)*(2 + 2*z**2 - 2) + 0*z**2 + 0*z**2 - 2*z**5 + (2*z - 5*z - z)*(-2*z - z + 4*z)*(-2*z**3 + 2*z**2 - 2*z**2).\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*t + 1 + (3 + 0 + 0)*(-1 + 2*t + 1).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Let b be o*10*2\/4. Let h = 9 + b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = f - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128520 and 58905?\nAnswer: 1413720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4 + 726*j**3 - 1371*j**2 wrt j.\nAnswer: -24*j + 4356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011110 - -110?\nAnswer: 1001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = -20. Let i(t) = 24*t + 2 + l*t + 1. What is the remainder when i(2) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 8:08 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**3 - 2*i**2 + 1. Let c be s(-1). Let t = 113 + -67. Suppose t*d = 45*d. Solve c*b + d = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.4 times 6569829\nAnswer: 35477076.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 959149.563 minus 55?\nAnswer: 959094.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.3. Let k = 0 - 1. Suppose 0 = y + 4*y. Which is the closest to -2\/7? (a) k (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 479 - 139. What are the prime factors of i?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(-1) - (-34 - -34).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1837 is divided by 843.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4. Let x(a) be the first derivative of a**2\/2 + 9*a - 51. What is 5*g(j) - 2*x(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1 + sqrt(99)*2)**2 - (4 + sqrt(99)*2)) + (4*sqrt(99)*-2*1)**2)*4 + -4.\nAnswer: -53836 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) -8\/9 (c) 2\/9 (d) 1 (e) 0.996\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 345 + -18851?\nAnswer: -18507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2289756?\nAnswer: 2, 3, 7, 27259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 + 10 = 0. What is the remainder when 1505\/10*72\/84 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3\/5 + 143*i**2\/5 + 1097317*i\/5 + 394038541\/5 = 0?\nAnswer: -559, 1261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**5 - 16*d**4 - 335*d**3 - 199*d + 24 wrt d?\nAnswer: 60*d**3 - 192*d**2 - 2010*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8 + 3*k - 2*k + k - k + k**2. Let i be o(-4). Let c be (-12800)\/(-12)*(-150)\/i. What is c rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 240, -3, 0, -92 in descending order.\nAnswer: 240, 0, -2, -3, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28449 - -4390. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -144860?\nAnswer: -1\/144860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 11:54 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.4137 + -0.0037. Let m = 514121.43 + -514119.01999799. Let n = m - a. Round n to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-20*a + 9*a + 12*a) + (0 + 3 + 0)*(-1 + 1 + a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 21*j - 7*j - 13995 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -2748 - -2743. Let u(n) = 5*n**2 + 22*n - 12. Calculate u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Suppose 0 = -i*f - 0 + 15. Suppose -4*n = 5*a - 73 + 4, 0 = -2*n - 4*a + 42. Solve -f*y + 8 + 1 = 0, 5*u - 3*y - n = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((90\/(-270))\/(1\/(-60)))\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18379378 to the nearest integer?\nAnswer: 4287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39727*c - 106213 wrt c?\nAnswer: -39727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - -18*(-4)\/(-33).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9768 = -4*q - 4232. Let k = 9289 + q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 672?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 36*k + 7. Give r(-2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 3) in base 12?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*o = 25*o - 18832 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 1, a: 4}. Give prob of picking 1 p and 1 a.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-26)\/(-10))*1. Let k = 10 - 13. Which is the smallest value? (a) k (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126*(-2)\/3 + 3 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1695.7 and -1.\nAnswer: 1695.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o - 53*o + 13*o**2 + 15*o + 6*o**2 + 3*o.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 17134 - 5617. Suppose -g = -4*h + 1. Suppose -3*z = 2*a - 1440, -h = -2*z - 0*a + 5*a. What is z rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11 - 1)*(-j**4 + j**4 + j**4)*(1 - j - 1 + (5 + 1 - 4)*(-3*j - j + 3*j) - 4*j + 4*j - 2*j - j + 5 - 5).\nAnswer: 66*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let o = -8 - -14. Let z(p) = 2*p - o*p + 2*p. Give x(z(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -197\/6? (a) -4 (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/7)\/(h\/h**(-8)*h)*h**(1\/7)*h\/h**(4\/9) assuming h is positive.\nAnswer: h**(-613\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4578 (base 14) in base 4?\nAnswer: 2330132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 14. Let p = -138 + 93. Let z be (-4)\/r + (-35)\/p. What is the greatest common factor of 5 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*(-175)\/(-25)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -23*g + 5. Let s(r) = 252*r - 54. Let q(c) = 5*s(c) + 54*u(c). Let a(z) = z**2. Give q(a(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x + 30. Let u be l(-10). Suppose 0*f**2 + 1\/3*f - 1\/3*f**3 + u = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 5 + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 16.9?\nAnswer: 388.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -18. Calculate the remainder when 3 + (-12)\/i + 23 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/70 - (-22)\/(-77))\/1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.035 - -30.035. Let d = b - 30.0002. Round d to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21010446423847 and 2?\nAnswer: 21010446423849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from wwwtwwucwuwwcuu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3604.65 - -2.65. Sort g, -3, -5 in descending order.\nAnswer: -3, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -14. Let h be 10\/a*6\/(-1). Suppose 3*k - m = 12 - h, 7 = 4*k - 5*m. What is the remainder when 3 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 708404340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**3 - 1040*q**2*x**3 - 2*x**3 + 2*x + 193 with respect to q.\nAnswer: 15*q**2 - 2080*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4879545.\nAnswer: 3, 5, 11, 29573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 4*s**2 + 6*s - 3. Let y be w(5). Let f(v) = -2*v + 5*v + 2*v + 2*v**2 - 1 - 3*v**y. Calculate f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161203598 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*y - 8 = 0, -2*o - 7384*y = -7388*y + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -68. Sort 1\/5, -3\/8, q, 1.\nAnswer: q, -3\/8, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35863, 35764, 35615, 35428, 35215, 34988, 34759, 34540?\nAnswer: 34343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -363.649 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.056 times 13860\nAnswer: -776.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w + 192 + w**2 - 179 - 5*w. Let c(b) = -2*b**2 - 7*b - 27. Calculate 2*c(m) + 5*s(m).\nAnswer: m**2 + m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1744 - -1.8256. Sort s, -26, 1\/9 in decreasing order.\nAnswer: s, 1\/9, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuvus. What is prob of picking 2 u, 1 s, and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -109. What is the remainder when -1*(-66 + 1) + -1 is divided by (-67)\/t - (8 + (-330)\/40)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*f + 75*f - 1053 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3624 is divided by 643.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**2 + 164*f - 20. Let a be y(9). Let q = 465 - -96. Let x = a - q. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1 - 16*a**2 - 17*a**3 + 16*a**3 + 1. Let l be r(-16). Let p(c) = -c**2 + 29*c + 44. Let k be p(30). Solve 0*b + b + 2 = l, b - k = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*d - 8, -2*d = -27*h + 25*h + 12. What is the units digit of 8*((-77)\/h + -5)*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27731 is divided by 5603?\nAnswer: 5319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 24 = 0, 80*g - 79*g - 4*d = -27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*n + 19347 = -163*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-9 - -5 - -5 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k**3 + 8*k**3 - 12*k**3. Suppose 0 = 5*w - i - 0*i, 0 = -4*w + 5*i + 21. Does 7 divide x(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/11 + 27778*h**4\/11 + 166810*h**3\/11 - 972746*h**2\/11 + 1333960*h\/11 - 555800\/11 = 0. What is h?\nAnswer: -10, 1, 2, 13895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -3293*q + 3264*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193\/9*a**3 - 68\/9*a**4 - 188\/9*a - 5\/9*a**5 + 4\/9*a**2 + 64\/9 = 0.\nAnswer: -16, -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c6 (base 15) to base 6\nAnswer: -1523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*i + (0 + 3 - 2)*(4 + i - 4))*(2 + 3 - 6)*(-6 + 2 - 9).\nAnswer: 39*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 44509245 to the nearest 100000.\nAnswer: 44500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 588 = -21*m. What is the smallest common multiple of 420 and m?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001 (base 2) in base 11?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -392*x - 148*x + 282131 + 41329. What is the remainder when x is divided by 321?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/693 and 20\/24453.\nAnswer: 171171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89434581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9823 + -6571. Suppose 0 = -2*a - 414 + b. List the prime factors of a.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**9\/100800 - c**8\/33600 - 7*c**5\/15 - 15*c**2. Let w(h) be the third derivative of m(h). Find b, given that w(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/1260 and 19\/10710.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2254 is divided by 120.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a minute in seconds?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**(-2\/41)*(o*o\/(o\/o**(-1)))\/o*o*o**5)\/((o**4*o**(-5))\/(o**(-1)*o)**(-13)) assuming o is positive.\nAnswer: o**(742\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 divided by 153?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vne when three letters picked without replacement from {e: 8, n: 1, m: 1, v: 8}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/17)\/t**(3\/7)*((t\/(t*t**(-5)*t))\/t)\/((t*t**(2\/5))\/t))\/(t**(-7)*t\/(t*t**(-1)*t))**33 assuming t is positive.\nAnswer: t**(138807\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2*(1 - 45)\/2. Solve -z*p + 2 = -24*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 + (-40)\/(-6). What is the units digit of (s\/(-2))\/((-6)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 2*r - 2. Let m be j(4). Let s be (m - -12)*(-6)\/(-4). Let d(w) = 8*w - 4. Let o be d(s). Solve 2*x + o = 6*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/2940*(1 + 4\/8).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -4, -43133, 10 in descending order.\nAnswer: 10, 3, -1, -4, -43133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -62*j**2. Let q(c) = -7*c**2 - c + 5*c**2 + c. What is v(q(d))?\nAnswer: -248*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195 and (12699\/5644)\/(6\/(-8) + 1).\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.00982 - 0.0086. Round y to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993769123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -955 + 298. Let r = w - -657.1. Which is the closest to r? (a) -0.1 (b) -17 (c) 1\/8 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - r = -22, -14*r + 17*r = 3*w + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-6 - -12) + (9 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 40 = 3*a, 2*a - 3*a = 2*o - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/174 - -2173\/348. Let k be 1\/((-2)\/(-5) + (-20)\/300). Factor 0*d + m*d**2 + 1\/4*d**4 + 0 + 5\/2*d**k.\nAnswer: d**2*(d + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 4*g + 6*g - 2. Let r be t(-4). Let p = r + 13. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -49. Let l be ((-104)\/(-182))\/((-1)\/h). Which is smaller: l or 13\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89631, -179259, -268855, -358413, -447927, -537391, -626799?\nAnswer: -716145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -82, -20, 152, 488, 1042, 1868, 3020, 4552?\n\"Answer: 9*j**3 + j**2 - 4*j - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/57645 and -88\/979965.\nAnswer: 979965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8760616 is divided by 7705.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 4. Let i = 3 + n. Suppose -10 = -m - i. Solve u = -m + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 36*a**4 + 25*a - 6. Let g(d) = d**2. Calculate g(m(l)).\nAnswer: 186624*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 5*v + 24. Suppose -5*c - 2*o + v*o = -6, 4*o = -2*c + 8. Let w be (-32)\/(-6) + (-3)\/9. Solve 5*i = -c*h - 6 - w, -3*i + 2*h = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-63))\/(-4*(-1)\/6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -112*o - 6. Let k(d) = d**2. Give b(k(c)).\nAnswer: -112*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/5)\/(1\/(-5)))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*q**2 - 89*q**2 + 38*q**2 to c*q**2 + b*q + j and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*g + 3*g = -10, 2*w + 4 = 4*g. Let z be 22*((-21)\/(-6) + w). Suppose -2*o + z = 9. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, y: 2, u: 2, n: 1}. Give prob of picking 1 n and 3 z.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 147150348 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-56)\/35 - 10920\/325?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -71. Let j be ((-101)\/w)\/(8\/40). Let x = j + -82. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + s = 4*t - t - t + 15, 7*t + 2*t + 2*s - 93 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21367 is divided by 2123?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 15 = 3*w. Let x be 9\/w*(-1)\/3. What is the tens digit of (-1)\/(24\/(-23) + x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 9. Let s(c) = 13878*c**2 - 2*c + 8. What is l(s(k))?\nAnswer: 41634*k**2 - 6*k + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2 - 22*d\/3 - 28\/3 = 0.\nAnswer: -1, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159173026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/40 - i**4\/8 - 15*i**3\/2 + 33*i**2. Let y(p) be the first derivative of j(p). Determine y(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 5. Let b be j(0). Suppose b*i + 6*l = l + 40, 2*l = -i + 8. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 469606*b**3 + 2*b**2*j**2 + 118*b*j**2 + 4*j**2 wrt b?\nAnswer: 2817636*b + 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 146033a (base 14) to base 9\nAnswer: 20576587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.62 and 4?\nAnswer: -10.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96637*h**3*w - 26*h**3 - 424*h**2*w + h**2 + 259*w - 1 wrt h?\nAnswer: 579822*w - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:22 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -227*v**3\/5 - 904*v**2\/5 - 133*v + 12\/5 = 0. What is v?\nAnswer: -3, -1, 4\/227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 46*a - 37. Let d = -112 + 119. What is the tens digit of r(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = -y + 12, -2 = -3*h - 5*y. Solve -3*q + 8*q**3 - 5*q**3 - h + 0*q - 9*q**2 + 13 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*x = -233*x + 12. Is 10 a factor of (-2 - -1 - x) + (188 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24006105 (base 8) to base 3\nAnswer: 100212112012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.2 - -10. Let s = 0.2 + b. Put s, -4, 0.1 in increasing order.\nAnswer: -4, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 33 - 30. Solve -r = c*y + 2*y + 11, 0 = -2*r - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 8 + 4 = 3*a, -5*a = 3*q - 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -3*h**2\/2 - h - 1. Suppose -g - 4*g - 10 = 0. What are the prime factors of t(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100200201 - 2?\nAnswer: -100200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*i - 2*i - 3*i)*(15 - 13 + 29 + 57) to the form s*i + b and give s.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852121452.\nAnswer: 2, 463030363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.81 + 0.19. Let w = -11.2 - -10. Let n = -1.4 - w. Which is the closest to 4? (a) -0.1 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g - 13. Let c be r(9). Let j = c + -31. Calculate the lowest common multiple of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13022662?\nAnswer: 2, 6511331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 24 = -2*q - 2*q, -2*q - 5*y + 12 = 0. Let s be (-45)\/(-18) - 3\/6. Solve -s*o = o + q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*f = 2*a + 20, a - 15 = 3*f. Suppose 4*h - 5*v - 211 = a, -3*v = 5*h - 158 - 78. Is h at most as big as 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293809279?\nAnswer: 167, 1759337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:15 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x**3 - 13*x**2 - 11*x - 2. Let j(a) = 8*a**3 + 7*a**2 + 6*a + 1. Calculate 11*j(g) + 6*l(g).\nAnswer: -2*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1238, -1247, -1268, -1307, -1370, -1463, -1592, -1763?\nAnswer: -1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((56\/(-52) + 1)\/1). Let y = l + -13. Calculate the remainder when y is divided by 0 - 3\/((-6)\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48150001?\nAnswer: 17, 166609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 467 + -467.965. What is r rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4731974319 to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89.8 + -110. Round x to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6*j = 2*j + 20, -2*f + 12 = 2*j. Suppose -f*d - 4*r = -28, r + 24 = 2*d - 2*r. Let x = 116 - 35. What is the highest common factor of x and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t + 11. Let v(g) = 2*g - 6. Let o(q) = -q**2 + 5*q + 3. Let r be o(5). Calculate r*d(h) + 5*v(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:41 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -123826752 divided by 96\nAnswer: -1289862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 2 (c) 1848768\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/5*(-26)\/78. Let x be (-10 - -6) + (-1 - -2). What is the biggest value in 3, x, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 5\/4*b**3 - 3\/80*b**5 - 3*b**2 - 1\/16*b**4 - 5 - b. Solve p(m) = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 45 = -6*m. Let r(j) = j - 4. Give r(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1722480 to the nearest ten thousand.\nAnswer: 1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = v - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 1. Let f = 16715\/7 - 67455\/28. Put 1\/7, f, z in descending order.\nAnswer: 1\/7, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/28)\/(10\/(-1873340))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 7:32 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 4*b. What is the tens digit of i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/28 and 1\/700?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -1 - (0 - -1). Suppose 2*o = 2 + 6. Suppose -2*c + 0 = -o. Sort y, c, -1 in increasing order.\nAnswer: -1, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2*g + 57 - 53, 4*g + 7 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:28 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(38)\/sqrt(2)*-3 + -6*((sqrt(76) - sqrt(19)) + -5))**2.\nAnswer: 360*sqrt(19) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110010000111100 + -1?\nAnswer: -110110010000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30283397.6 rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.68512 - 29355.68512. Let r = q - -29361.00128. Let z = -6 + r. What is z rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1401399?\nAnswer: 3, 47, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-369)\/(-765) - (-8)\/68)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -859 * -118\nAnswer: 101362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - 17\/(-3))*-84. Let b be -24*(-28)\/(-18)*-3. What is the highest common divisor of b and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5135394694*r - 5135394690*r + 10270789384*r - 6*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21192 (base 12) to base 8.\nAnswer: 124676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614908.\nAnswer: 2, 41, 43, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -2, 188.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/3 - 348611*k = 0 for k.\nAnswer: 0, 1045833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4927\/18 + -547\/2. Let p = -83 - -85. Suppose 0 - 2\/9*c**3 + 2\/9*c + j*c**4 - 2\/9*c**p = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {i: 3, d: 1, y: 3, t: 2, m: 2, c: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6760 and 6630?\nAnswer: 344760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1108 + 1105. Sort r, -1, 18 in ascending order.\nAnswer: r, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 7:52 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 163*b**2 - 477*b - 24896. Determine j(-161).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 182088 divided by 5058\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = 9 - 2. What is the tens digit of 14\/49 + (g - (-976)\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iskppokorpropppioi. Give prob of sequence poi.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 173263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (68\/(-16) + -2)\/((-2)\/8). Let s be -2*-2*y\/(-20). Suppose -5*v = 3*u + 11, -7*v = 5*u - 2*v + 35. Sort -4, s, u.\nAnswer: u, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Calculate the least common multiple of k and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10559 - m**3 + 3515 + 14*m**2 - 10*m - 2*m**4 + 3521 + 3525 to w*m**3 + k + o*m + h*m**2 + v*m**4 and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 1. Let i(m) be the second derivative of -m**4\/8 - m**3\/2 - 3*m**2\/2 - m. Let g(f) be the first derivative of i(f). Calculate -3*g(p) + 7*k(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 + 20*i + 11. Let q(v) = 26*v**2 + v + 4. Let d(c) = 22*c**2 + 2*c + 4. Let z(r) = 6*d(r) - 5*q(r). Give -6*o(y) + 17*z(y).\nAnswer: -2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 1 + 1)*(o + 0 + 0) + 15*o**2 - 20*o**2 + 17*o**2 - o**2 + 0*o**2 - o**2 + (-3*o**2 + 6*o**2 - 4*o**2)*(1 - 3 + 3) + 1 - 1 + 2*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -4, 16, -28 in decreasing order.\nAnswer: 16, 3, -4, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 25 - 22 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 - -0.01. Sort -1\/4, -5, y.\nAnswer: -5, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -273*h + 11*h**2 - 6*h**2 + 273*h. Let v(g) = 34*g**2 + 1. Determine v(s(o)).\nAnswer: 850*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11023793, -4, -5 in descending order.\nAnswer: 11023793, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**2 + 8. Let n(w) = -4*w - 3. Let o(i) = 23*i + 17. Let y(a) = -34*n(a) - 6*o(a). Give y(u(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*z**4 - 4*z**5 - 100*z**3 - 244 - 246 - 7*z**4 + 490 + 48*z**2 = 0 for z.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffvvfvlvlff. What is prob of picking 1 f and 1 l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgw when three letters picked without replacement from {g: 5, m: 9, z: 3, w: 2}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28793841203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 17*y + 16*y + 19, 5*i = 5*y - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 7 (c) -1\/3 (d) 2\/87 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -1.3. Let q = 7 + -7.6. Let z = q - w. Which is the second smallest value? (a) z (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -516 + 3233. List the prime factors of j.\nAnswer: 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/31482 and 91\/20?\nAnswer: 314820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*b + 0 = -5, -4*c - 4*b = -36. Let m(u) = 10*u**2 - 3*u + c*u - 4*u**2 + 1 - u. Let l be m(-1). Calculate the highest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - -5.9. Let x = 128 + -129. What is the nearest to -1 in x, -3, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -246\/5 - -50. What is the nearest to 0 in h, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (173*t + 3811 - 3811)*(5*t + 2*t - 5*t) + (2*t + 12*t - 6*t)*(-3*t - t + 2*t) in the form a*t + d*t**2 + s and give d.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(4 + -3 - 2). Is 2\/23 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110101101000110110 (base 2) in base 9?\nAnswer: 3771471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*c**2 + 72*c**2 + 12*c**3)*(0 + 2 + 0)*(-5*c - 7*c + 5*c).\nAnswer: -168*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let h be (-94)\/(-14) - 2\/(-7). Let a(u) = -u. Suppose -3*q + 54 = -2*b, -q + 2*b + 36 = q. Let o be q\/99 - 62\/(-22). Determine h*a(r) + o*k(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16686 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 60 = -k, 2 = -m + 5*k - 4. Suppose -5*t - 26 = -6, 5*h - t = m. Find the second derivative of 3*w**5 + 0*w**5 - w**5 - h*w wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(1 - 25)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -13*w**3 - 17*w**2 - 17*w - 35. Let c(j) = -4*j**3 - 6*j**2 - 6*j - 12. Let s(i) = 17*c(i) - 6*z(i). What is the derivative of s(y) wrt y?\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127200 = -372*w + 324*w. Calculate the highest common divisor of 954 and w.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -13*r**2\/2 - 561. Let i(t) = -11*t**2. Give m(i(k)).\nAnswer: 143*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 14. Suppose j = 3*b - 4*k, 0 = -b + k + k. Solve b = 3*s - 8*s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -312*j**2 - 115. Let t(k) = -104*k**2 - 38. Let x(a) = -3*o(a) + 8*t(a). What is the first derivative of x(s) wrt s?\nAnswer: 208*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158615, -158616, -158617, -158618?\nAnswer: -158619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l + 13. What is the remainder when 81 is divided by t(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-3)\/24*-2). Let b = 0 + 9. Suppose b = n*p - 15. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18858 and 0.3?\nAnswer: 5657.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125 + 244?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1076246 - 2?\nAnswer: 1076244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 922 divide 25046130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 - 3*h)*(-3*h**4 - h**4 + 3*h**4).\nAnswer: 3*h**5 + 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -926\/191 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {i: 11, a: 1, c: 2, x: 1, y: 1}?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -5. Suppose j*a + 32 = 4*a. Solve 4*v = -x + a, 11 = 3*x - v + 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 2*y**3 + y - 239*y**2 + 3 + 243*y**2 + y to the form o*y**2 + z + i*y + j*y**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 6*l + 1. Let y be p(-6). Let n = -34 - -28. Let o be (-12)\/(-63)*-1 - 3\/(-9). Which is the third biggest value? (a) o (b) y (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.06 (c) -2 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:15 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (36\/(-6) - -8)*271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12693.156*6.4.\nAnswer: 81236.1984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -934.44 - -944. What is r rounded to one dp?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) - (sqrt(153) + (sqrt(153) - 3*sqrt(153)) - sqrt(153)))*-6 - sqrt(153))*-6)\/(-6*sqrt(81)*-4).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*v - 16, -3*j = -v - 3*v - 48. Find the second derivative of j*m + 15 - 14*m**3 - 13 - 2 wrt m.\nAnswer: -84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/12 - 5*b**4\/6 - b**3\/6 + 6295*b**2. Let o(p) = p**2 - p. Give -k(l) + 4*o(l).\nAnswer: -l**2 + 16*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 14. Let v be w(-5). Suppose -8 = v*q - 28. What is the smallest common multiple of (4\/(-10))\/((-2)\/10) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19551116 and -1.9.\nAnswer: 19551114.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 314328 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwezepseesps.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 21*m + 9. Let k = 64 + -72. Let n be (((-112)\/(-3))\/k)\/((-2)\/3). Does 26 divide q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/352)\/(10\/55). Which is the nearest to -0.1? (a) -4 (b) s (c) 5 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*m**4 - 4*m**3*n**2 - 85957*m**3*n + 2*m**2*n**2 + 2*m**2 + 8*m*n - 943*n**2 wrt m.\nAnswer: 240*m - 24*n**2 - 515742*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**3 - 9*u**2 + 11*u + 3. Let q(r) = r**3 + r**2 - r + 1. Suppose h + 9 = 8. Let y(f) = h*b(f) - 4*q(f). Calculate y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110732100 to the nearest one hundred thousand.\nAnswer: 110700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -982\/5? (a) 1 (b) 2\/7 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179805301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 4*s + 36 + 6*s - 34. Let b(v) = -17*v - 6. Calculate -3*b(f) - 8*i(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/4 - 28185*x + 281775.\nAnswer: 3*(x - 37570)*(x - 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21978, -168562, -566436, -1341246, -2618638, -4524258, -7183752, -10722766?\nAnswer: -15266946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 - -4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 1. Let h be k(-1). Let x be (42\/9)\/(h\/30). Let m = -12 - x. What is the remainder when 44 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*x - 2, -3 = -4*g + x + 1. Let u be (-5)\/(-3)*g\/15. Let z = 88 + -88. Which is bigger: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433086.\nAnswer: 2, 716543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-13\/5)*c**4 assuming c is positive.\nAnswer: c**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktdtuuuvddutjd. Give prob of sequence kt.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + 7.99. Let o = -6.1 + t. Let q = 2 - o. Is -2 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*g = -2*k, -4*g = 3*k. Let j be (0 - k - (5 + -4)) + -75. Let s = 68 + j. Is -11 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 11 = -16*q + 18*q, 4*d + 3*q = 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(200) + 1)**2 + (sqrt(2) - (sqrt(2) - (sqrt(56)\/sqrt(7))\/sqrt(4)) - (sqrt(200) + 1)).\nAnswer: 71*sqrt(2) + 215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/6*1 + -3 + (-11454)\/(-414). Solve -21*r + m*r - 29 = y, -r = -5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/9)*x*x**(-1\/2)*x*x\/(x\/(x\/x**5*x))*(x\/x**3)\/x)\/((x**(2\/9)\/(((x**5\/x)\/x*x)\/x))\/(x**(-2\/3))**(-32)) assuming x is positive.\nAnswer: x**(367\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8520.494 litres?\nAnswer: 8520494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44657 and 9.\nAnswer: 401913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*x**3 - 6*x**3 - 6*x**3 + 84*x - 84*x - 60*x**3 + (0*x - 2*x + 0*x)*(2*x**2 + 0*x**2 - x**2 + (x - x + x)*(3*x + 0*x - x) - x**2 - 3*x + 3*x).\nAnswer: -51*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/2)\/((-2)\/(-4)). Let f be (0 - (2 - 4))*5. Suppose 3*j = 2*j + f. Calculate the greatest common divisor of z and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 103)\/4*-1. Let d be (-14)\/(-10) + 10\/a. Suppose -t - 4 = d. What is the nearest to -0.1 in -4, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = -h, -3*h - z - 4*z + 35 = 0. Solve -30 = 5*c - h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252288 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 217116874397+4\nAnswer: 217116874401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, a: 1, v: 1, c: 1, s: 2, d: 2}. Give prob of picking 2 s and 2 d.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 306 - 1?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634008 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 3:52 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2260*x**2 - 3*x + 3*x + 1127*x**2 + 1131*x**2 - 33*x**3.\nAnswer: -33*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 154, 1037, 3 in descending order.\nAnswer: 1037, 154, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53860000 rounded to the nearest one million?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*s - 1 = 504*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 111.29+-126971\nAnswer: -126859.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.692 - -2969784.\nAnswer: 2969762.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564300746 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.93 + 9. Let t = l - 0.47. Let j = -9 - -9.1. What is the second smallest value in 0.4, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*(-3)\/(-36))\/((-4)\/4). Let o = -0.7 + 1. What is the second smallest value in o, h, 1.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -716 divided by -2?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -5, 0, -4, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*q = -122, 7*i = 3*i - 4*q + 152. Let b be (-19697)\/20 + i\/55. Let v = b + 990. Find the common denominator of v and -41\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepepleeelppp. Give prob of sequence ell.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47464231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = -2*g, 0 = -5*t + 4*t - 3*g + 3. Let y(d) = d**2 - 2*d - 5. Is y(t) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.9 and 6113.1?\nAnswer: -48293.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 8 + p + 24.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 454 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:18 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c + 25. Let m be (-3 - -18 - 8)\/1. Calculate d(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -1\/2*z**6 + 0*z**4 + 8*z**2 + 0 + 72*z - 1\/2*z**3 + 1\/10*z**5. What is the second derivative of w(t) wrt t?\nAnswer: -180*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 - 9*h + 1. Let p(r) = 10*r**2 - 19*r + 2. Let z(q) = 3*p(q) - 7*s(q). What is z(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -419 (base 14) to base 8\nAnswer: -1447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28188 is divided by 260?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l + 24. Let c be f(5). Solve c*o - 8 + 0 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2932 and 5.\nAnswer: 2937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 + 1.6. Is l less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 5*r**4 - 20*r - 12. Differentiate c(n) with respect to n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443124\/7 or -63302?\nAnswer: -443124\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 11529?\nAnswer: 2305.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1443?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 4. Let h(r) = r + 5. Let a(l) = -3*h(l) - 4*y(l). Let z be a(2). Suppose 0 = z*x - 30 - 18. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 155. Let y = 38 - r. Let i be 107\/3 + 8\/(-12). Calculate the highest common divisor of i and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*h - 655, -13*h + 512 = -17*h + 4*p. Let n = h - -174. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 32 = 5*q, -5*q - 48 = 3*o + o. Let z = 11 + q. Let j = 11 + z. Calculate the highest common divisor of j and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1586444591.\nAnswer: 439, 617, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*r + 294417 - 3329667. What is r rounded to the nearest 1000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. What is the biggest value in 1\/3, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 31*w**2 - 2*w + 3. What is the remainder when 156 is divided by r(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18979882 divided by 907\nAnswer: 20926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13*r**3 + 11*r + 9. Suppose 6*u - 80 = u. Let a = u - 8. Suppose 0 = -3*v - 25 - a. Let j(t) = -7*t**3 + 6*t + 5. Calculate v*j(b) + 6*x(b).\nAnswer: -b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 28*x - 20. What are the prime factors of y(6)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47030630 divided by -10?\nAnswer: -4703063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*d**2 + 2 + d + 204*d**2 + 0 - 2.\nAnswer: 593*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13722540 (base 8) to base 16\nAnswer: 2fa560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18833631.\nAnswer: 3, 419, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-33)*m**(3\/10) assuming m is positive.\nAnswer: m**(-327\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8272089*t**4 + 1330804*t**2 - 1 wrt t.\nAnswer: 198530136*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910603 is divided by 113812.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24633971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - b - 2*b)*(-72 + 14 - 16)*(3 - 2 + 0) as r + t*b and give t.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4124, -4132, -4136, -4136, -4132, -4124, -4112?\n\"Answer: 2*q**2 - 14*q - 4112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) 1.34 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1418923016 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrhgeqw. Give prob of picking 1 r and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 20*j + 60. Let n be h(-3). Solve -71*w + 67*w - 4 = n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**3 + 20*v**2 - 2*v - 12. Give k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/73, 0.4, -6, -4?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 - (2298\/(-4))\/3. Suppose -q = -3*a - 20. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 0.3, 2\/7, 7\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q + 5. Let c(a) = -2*a - 1. Calculate -14*c(l) + 2*m(l).\nAnswer: 6*l + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 39*i - 29*i. Calculate the common denominator of ((-6)\/(-3) - -51)*i\/(-18) and -91\/102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-5)\/10 + 3\/(-6). What is the nearest to -15 in o, 0, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(5) + sqrt(80)))**2 + -2 + (2 + sqrt(11) + -5 - sqrt(33)\/(sqrt(15)\/sqrt(5))).\nAnswer: -114\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moom when four letters picked without replacement from {r: 1, c: 3, g: 2, o: 3, y: 2, m: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -474 + 479. Let f(m) = -m**3 + 4*m**2 - m + 4. Let h be f(4). Suppose 5*g + 4*w - 120 = -h*w, -j*w - 48 = -2*g. Solve 4*q = -8 + g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-195)\/52)\/((-2)\/8). Let c(t) = t + 7. Let u be c(k). Factor -7*s**2 + 30*s + 2*s**3 - s**2 - u*s.\nAnswer: 2*s*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*o + 3957, -2383 = -3*x - 0*o + 2*o. List the prime factors of x.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 2*k**2 + 0*k**2. Let v(l) be the first derivative of -l**3\/3 - 1. Determine v(b(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Let p be ((-7)\/3 - -1)*-3. Suppose 2*n - 11 = -4*u + 17, f*n + 28 = p*u. Is u greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j - 2. Let x be f(1). Let k = -8 - x. Suppose 5*w + 3*v - 132 = 0, -v + 106 = k*w + v. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4255*s*v**3 - 28*s*v**2 + 3*s*v - 2*v**3 - 83*v**2 - 6*v wrt v?\nAnswer: 25530*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 68 - 1\/6*r**4 - r + 0*r**2 + 0*r**5 + 28*r**3 - 3\/2*r**6. What is the second derivative of k(u) wrt u?\nAnswer: -540*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471 = -5*k + 476. Let y be (k + 59)\/(12\/8). Let t = 464 - 304. What is the greatest common divisor of y and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 22780833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 72685032 divided by -1275176\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1050874 divided by 11.\nAnswer: 95534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d - 3. Let n be ((-9)\/(-18))\/(d\/52). Let p = n - 13. Solve -3*g + 5*g = p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*g = 100, p + 99*g = 94*g - 125 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 - 89. Suppose c = 2*y + 3*w, 5*y - 4*w - 80 = -3*w. Suppose 2*i = -3*r + y, -7 - 9 = -4*r - i. Solve 0 = r*p + 2*z - 12, -2*p + 4 = 5*z - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 215 - 1 = 0. What is the remainder when 187 is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3056, -1\/4, 4\/9, 0.137, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -60 (b) -5 (c) -9\/4 (d) 0.4 (e) 1\/7 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -32. Let r be (-2)\/(0 - -1) + 0. Let g = r + 4. Let i(f) = -4*f**2 + 3. Let y(b) = b**3 + b**2 - 1. Determine g*y(x) + l*i(x).\nAnswer: 2*x**3 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 13*c**2 + c - 8. Let a be z(13). Let f(d) = d**2 + 5*d + 6. Let u be f(-7). Solve -s - u = -a*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11473*f + 85263 - 85263.\nAnswer: -11473*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -31*j + 365. Determine n(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2)*(s**2 - s**2 - 2*s**3)*(s + 3*s - 6*s).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11238113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 2. Suppose -4*t - 1 + 9 = -4*r, -1 = -r. Determine n(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 12*s**2 - 11*s + 11. Let b = -12 - -34. Suppose -2*q - b = -0*q. Let j be z(q). Is j greater than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let f(k) = 122*k. Give f(a(j)).\nAnswer: 122*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, t: 3}. Give prob of picking 3 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 1. Let g(z) = -28*z - 24. Let s be g(-1). Suppose 62*r = 66*r - s. Let p(h) = -8*h**2 + 8*h - 8. Give r*p(x) + 8*k(x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163064332 and 3484.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*r**5\/11 + 356*r**4\/11 + 756*r**3\/11 - 3280*r**2\/11 + 2818*r\/11 - 60 = 0. Calculate r.\nAnswer: -33, -5, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w - 1. Let t be n(-4). Suppose 2*c - 2 = 0, -4*d + 3*c + t = -18. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*o**2 + 169164*o - 169164*o.\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5195 divided by 5.\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**3\/3 + 4*h**2 + h - 4. Let k be a(-9). Calculate the highest common factor of k and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69933492+0.036893\nAnswer: -69933491.963107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11072408*q - 2378491.\nAnswer: -11072408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45942*v**3 - 263*v + 263*v - 45734*v**3.\nAnswer: 208*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Suppose m*b - 9 = b. Suppose -3*k - 2*k = -b*d + 61, -2*d = -2*k - 42. Solve -r - d = -4*f, -7 = f - 2*f + r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 19. Let a = 1 + f. Find the first derivative of p**3 + 5*p**3 - 6 + 4*p - a*p wrt p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1085267 milligrams?\nAnswer: 108526.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 8939312*o + 19977824758336.\nAnswer: (o + 4469656)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/((-10)\/15)*-16. Suppose 28*b - 26*b = -y. Let o(m) = m + 28. Let d be o(b). Solve 0 = 4*j + j + d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11371 - 5984. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/1*1276465\/(-8654)*(-3)\/3?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y**3 - y**2 + 5*y - 3. Let v be a(-5). What is the highest common factor of 959 and v?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + m = -3*h + 6*m + 33, 510*h - 553*h = 2*m - 57 - 60 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 1126 - 3585. Let r = -1407 - k. Suppose -10*l + 12*l = r. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 4*d - 5 + 4*d**2 - 3*d + d. Let o(v) = 11*v**2 - 14*v - 14. Let a(g) = g**2 - 6*g + 2. Let x be a(4). Calculate x*o(h) + 17*z(h).\nAnswer: 2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2049, -12, -50 in increasing order.\nAnswer: -50, -12, -3, 2049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(15\/70)\/3*(1 - -1). Factor -4\/7*h**5 + a*h**3 + 0*h**4 + 0*h + 0 + 0*h**2.\nAnswer: -4*h**3*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 73, 246, 583, 1138, 1965, 3118, 4651?\nAnswer: 6618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2455 (base 8) to base 5.\nAnswer: 20300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 306674*r**5 - 20485068*r wrt r?\nAnswer: 6133480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1180471 = 6*g - 349319. Let q(i) = 254965 - g - 3*i. Let m(l) = 77*l. Give m(q(u)).\nAnswer: -231*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -373 (c) -1.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g + 10. Let z = 14 - 7. Let c be f(z). Let d = c - -21. Solve -b - d = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(11)*-2*3.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/21 (b) 0.3 (c) 0.17 (d) 5 (e) -1192\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2751 - -27.2751. Let k = 2.9 + -0.9. Does r = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24346 (base 8) in base 3?\nAnswer: 112100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -15 + n**2 + 0*n**2 + 15. Let c(w) = -4*w**2. Calculate c(v(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 14*n**2 + 14*n**2)*(-2*n + n + 3*n) + 59*n**4 + 26*n**3 - 26*n**3 + 0*n**4 + 2*n**4 + 0*n**4.\nAnswer: 57*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2 + 45088*u\/7 + 1840 = 0.\nAnswer: -1610, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 8*f + 16. Let w be a(-6). Let c(t) = -4*t - 5. What is c(w)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Suppose -3*f = -3*v - 51, 3*v = -l*f - 75 + 29. Calculate the least common multiple of 12 and v\/((-3)\/(-3))*-1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 63\/4?\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21705\/154 - 1482\/11. Calculate the common denominator of 97\/14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-9))\/(2\/(-3)). Suppose f*v = -3*v. Suppose t - 6*t + 80 = v. What is the lowest common multiple of 4 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-45)\/6)\/5*-30. Suppose -4*k - k = o. Let i be (k - -6808) + 1 + 0. What is i rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*h = -15, -p - 44429*h + 44425*h = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-16942)\/(-1204) - -5 - 19\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 + 1 - -2. Suppose 5*u = -10, -h*c - 5*u - 22 = -2*u. Suppose 4*f + 12 = -0. Is f != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24293*s**3 + 6*s**2 - 105288*s wrt s?\nAnswer: -145758*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 - 9 = 0. Let w = -5 + 8. Suppose y = -w*y + 36. Calculate the remainder when y is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -456 - -459. What is the fourth smallest value in 3\/11, -2, -2\/29, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038767685 to 5 dps.\nAnswer: 0.00388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.799832 + 0.8. What is d rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 17 = -6. Let h(q) = -q. Let r be h(0). Suppose -v + 3*z + f = v, -4*v - 3*z + 55 = r. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ac0a1 (base 13) to base 15\nAnswer: -62720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9499748 divided by 1\nAnswer: -9499748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -222*q**2\/19 - 124102*q\/19 - 2236\/19 = 0.\nAnswer: -559, -2\/111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25591 = 17*y - 164758. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**4\/4 + 2*n**3\/3 + 3*n**2\/2 - 26*n - 214. Is 43 a factor of r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19799 - -35729. What is c rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*((-3)\/2)\/3. Let g(f) = f**2 + 6*f + 2. Let q be g(-7). Let t(n) = -n**3 + 10*n**2 - 9*n + 2. Let z be t(q). Solve h*w = -3*w - 9, z*w = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 9522470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (232\/(-58))\/((-12)\/33).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 61 - 125 + 48 to v*j + u and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7612.93639 - -0.06361. Let a = m - 7613.035832. Let h = a + 0.036. What is h rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q**2 - 1. Let j(w) = 2*w**3 + 12*w**2 + 12. Calculate -j(k) - 12*n(k).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 6*l - 6 - 22 = 50 + 4, -5*s + 4*l - 24 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123912 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9236*a + 9321*a = -3570 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587145611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k - k - k)*(0*k**2 + 4*k**2 - 2*k**2) + k**3 - 3*k**3 + 3*k**3)*(10 - 1 - 6).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + -211110?\nAnswer: -211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 38*d**2 - 284*d - 1031. Determine i(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -22. Let w be (28\/(-8) - k)*0. Solve -3*q + w + 4 = -5*r, -4*r + 7 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) 3\/4 (c) 2\/5 (d) 85797 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a - 56 = -11*a. Find the common denominator of 19\/22 and a + (-33)\/(-15) - (-2599)\/805.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 - (-2 + 2 + 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3679 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1143266 + 1143270.499977. Let d = -4.439 - 0.061. Let p = d + k. Round p to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + 6996\/28 + 1. Let s = -241 + l. Let o = 0.06 - -3.94. What is the third biggest value in -2, 0.2, s, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5560948?\nAnswer: 2, 653, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 + 3*m**3 + 0*m**3 + (3 - 3 - 2*m**2)*(0*m + 0*m + 2*m) + 2*m + m**3 - 2*m + (4*m**3 + 0*m**3 - 5*m**3)*(1 - 1 + 8) + 0*m**3 + 4*m**3 - 2*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.52 rounded to zero dps?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77107319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 0 - (-2)\/(-2). Let p = a - -4. Suppose -p*l = 2*l. Solve -f = -l + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/5, 1828, 15.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44706 and 354?\nAnswer: 2637654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 1784876, -4.\nAnswer: -4, 58, 1784876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 0*x + 0*x**2 + 1\/3*x**3 + 0*x**4 + 4\/5*x**5 - 3. Find the third derivative of l(n) wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjt when three letters picked without replacement from tjdtdq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5376348175 to the power of 1\/2, to the nearest integer?\nAnswer: 73324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 + 2*y**2 + 48 + 3*y**2 - 51 - 2*y. Let s be 8\/5 + (-9)\/15. Let q(a) = 4. Let l(x) = 9. Let p(h) = 3*l(h) - 7*q(h). Calculate s*j(i) - 3*p(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 558.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -650572 divided by -650572.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011000011101001 - -1110000?\nAnswer: 11011000101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75451567 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyyiyiiyizy. Give prob of sequence iy.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34000 by -17000.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-40)\/(-180))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 5*m + 13*m + 1. Let x be l(5). Calculate the greatest common factor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 127. Do -2 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -237 - -391. Calculate the greatest common divisor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:58 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:21 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 - -1 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6054 (b) -4 (c) -0.2891\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-768)*-16)\/((2\/(-1))\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 less than 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37835.38 + -243.2?\nAnswer: 37592.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 6, 66, 178, 360, 630?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -118, -111, -84, -31?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6))\/((-16)\/2256). Let l = j - -251. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2280287 is divided by 343?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(30)\/sqrt(3)) + sqrt(19) + -4 + sqrt(38)\/sqrt(2))**2 - -6*(sqrt(19) + -1 + -1)**2.\nAnswer: -48*sqrt(19) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9057 is divided by 1354.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 154 - 1865?\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 2, d: 2, e: 8}. Give prob of sequence wd.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*a - 960354 = 0, -4*a + 414319 = 5*k - 786122. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 140, 336, 822, 1742, 3240?\n\"Answer: 24*u**3 + u**2 + 25*u + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - -14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 - ((31 - 20) + 5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:10 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 12*p + 4. Let g(z) = 4*z**2 + z + 1. Let t(h) = -55*h**2 - 15*h - 15. Let j(x) = -15*g(x) - t(x). Determine j(u(d)).\nAnswer: -720*d**2 - 480*d - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-21) - (-1501)\/35. Let q = p - 42. Let g = 1 - 0.7. What is the third biggest value in g, q, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdhz. Give prob of sequence dh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 10*n**2 + 1835*n + 3713. Give d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 76*y.\nAnswer: -4*y*(y + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 6*s**2 - 4*s + 7. Let w be l(-5). Suppose 2*n - 4*v + v = 5, n - w*v - 2 = 0. Suppose 0 = -n*a + 7 + 9. Solve -12 = k - a*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 202, 822, 1854, 3298, 5154?\n\"Answer: 206*u**2 + 2*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -456 + 632. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 - 2*w**3 + 5*w**3)*(-w + 4*w - 5*w) + (5*w**2 - 3*w**2 + 2*w**2)*(3*w - 3*w + w**2) - 2*w + 2*w + w**4.\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -131*l + 53*l - 624 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/8, 2\/15, -0.3, 2, -4, -351\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8507, 17042, 25577, 34112, 42647, 51182?\nAnswer: 59717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -j - 0. Which is bigger: j or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, -388, 82, 2 in decreasing order.\nAnswer: 82, 2, -2, -9, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1. Let t be 14 + (u - -5) + -3. Let y = -4 + t. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7437 + -7445. Let l = -19 - -32. Suppose 3*h + 2*o - l = 0, 4*h - 14 = -3*o + 3. Put h, 0, a in ascending order.\nAnswer: a, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9624 - 4430. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (520\/(-78))\/((-21)\/(-63)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/17 and -59\/82?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2468*a*p**3 + 2*a*p**2*y**3 - 163*p**3*y + 8*p**2*y**3 with respect to a.\nAnswer: 2468*p**3 + 2*p**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14204?\nAnswer: 2, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1900*k*m**6 + 2*k*m**5 + 2*k*m + 4*m**2 - 45*m wrt m?\nAnswer: 228000*k*m**3 + 120*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**5\/60 + 2*b**3\/3 - 4*b**2. Let y(p) = -p**3 - 13*p**2 - 10*p + 21. Let s be y(-12). Calculate c(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 31835724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 1104264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 - 134*q**2 - 278*q + 142. Let c be n(69). Solve 0 = 3*p - 3*x - 12, -9*p + 12*p - c*x - 15 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6557?\nAnswer: 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v - 2*j + 87 = 0, -4*v + 5*j = -116. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 619, -4, -0.5, -45, 19, 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 415*y**2\/2 + 25*y + 198. Let g be ((-38)\/(-57))\/(2\/15). Let p be c(g). Round p to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 0.29. Let q = 3 - 3.5. Let y = q + u. What is the closest to 0 in -3\/4, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 25 = 3*r. Suppose 0 = 2*k - k - r. Suppose -5*v + 50 = k*a - 0*v, -4*a + 35 = -v. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (0 + -28 - -18)) + -54\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658 - 6*v**2 + 3*v**2 - 658.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 57 + -448 + 343 - (1 + -22)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5720*a**2. Let y(l) = -36*l. Determine y(d(j)).\nAnswer: 205920*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 403296 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3))**(-24\/7))**13\/((r**(1\/6)\/(r\/(r**(5\/3)\/r)))\/((r*r**0)\/r*r)**(6\/23)) assuming r is positive.\nAnswer: r**(-28291\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -8. Let p(c) = 37*c + 2*c**2 - c**l - 41*c - 8. Does 13 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:36 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:43 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9 + 2.1. Let d = 6 - x. Let i = -3 + 3.3. Which is the second biggest value? (a) -0.4 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7635125, 15270245, 22905365, 30540485, 38175605?\nAnswer: 45810725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -13*a - 45. List the prime factors of i(-50).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q + 1. Let l be k(-1). Solve 8*x - 20 = -a + 3*x, -2*x + l = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65261351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -a + 2*v, -12 = -3*a - 4*v + 4. List the prime factors of a*4\/16 - -39.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -14\/5, 38, -4, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 56. What is the greatest common factor of 128 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 4*o**3 + 46*o - 2 - 90*o + 5 + 46*o to the form r + x*o**3 + a*o + d*o**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + (-2 - (-2 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 383474 and 2575244?\nAnswer: 1439561396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -8 - (3 + 2). Suppose -1 = -3*s - l*k, 0*s - 5*k - 7 = s. Find the third derivative of -16*u + 4*u**s - 20*u**2 + 0*u**3 + 16*u wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 25*c**2 + 2. What is the lowest common multiple of 14 and i(-25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 1\/30*g**4 + 1\/5*g**3 - 3*g - 2 + 2\/5*g**2. Let m(f) be the first derivative of b(f). Factor m(c).\nAnswer: 2*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 2. Determine v(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/117 and 5\/752154.\nAnswer: 2256462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 347 in 0, 3\/2, 0.7, 2\/11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1798 - -1801. Which is the third smallest value? (a) -5\/3 (b) u (c) 109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5. Suppose t - 10 - 3 = c. Let s(m) = 11*m - 12. Is s(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4\/11, 7\/5, -0.3, -2, 3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*b + 36 = 96, -15 = -2*f + b. Suppose 29*g - f*g - 684 = 0. Calculate the remainder when g is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*z**4\/7 - 1528*z**3\/7 - 4064*z**2\/7 - 3464*z\/7 - 948\/7 = 0. Calculate z.\nAnswer: -1, -3\/5, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -38*i**2 + 14*i - 12. Let f(l) = -43*l**2 + 16*l - 14. Let d(n) = -6*f(n) + 7*x(n). Let p(y) = -21*y. What is p(d(a))?\nAnswer: 168*a**2 - 42*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -26. Suppose 0 = -l + t - 4. What is the tens digit of ((-3)\/6)\/(l\/1464)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -6.6. Let m = -6757 - -6757.3. What is the nearest to r in 1, m, 2\/15, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l - 2*l = 129 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a factor of 57450515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1209*m. Let l(v) = -334*v. What is l(r(h))?\nAnswer: -403806*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 28, 29, 28, 25, 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 286.2 equal to 126.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6259822 divided by -1?\nAnswer: -6259822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000132755 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -0.7 (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6378?\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -27*n**4\/4 - 7*n**3 + 30*n**2 - 12*n + 32. Factor b(h).\nAnswer: -3*(h - 1)*(h + 2)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 8120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202032167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 12. Let m = 40 - l. Let q = m + -42. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = r - 10, -4*r - 61 + 53 = 14*n - 56 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 14*a + 10*a + a. Let p(o) = 8*o**2. Calculate r(p(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4289, 5422, 7303, 9926, 13285, 17374?\n\"Answer: -c**3 + 380*c**2 + 3910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*c - 2 = 507*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*r + 158, -3*w + 5*w + r - 88 = 0. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 7 - 51. Let z(y) = 3*y**2 + 5*y + 1. Let b(s) = -10*s**2 - 15*s - 4. Let i(g) = 2*b(g) + 7*z(g). Is i(h) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1297841 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 9*h**2 + 71*h - 9. Let m be g(13). What is the greatest common factor of 378 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnsinpr. What is prob of sequence npi?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(5\/1 + -3 + -1). Let y be n\/2 + (-14)\/(-12). What is the closest to -2\/5 in -2\/9, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (3 - 60 - (43 - (5 - -30)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -579.2 and 3770987.491.\nAnswer: 3770408.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011110110011101 (base 2) in base 15?\nAnswer: -42ddb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52159517 is divided by 553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-24)\/(-48) + -48.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19211 - 10\/(-4)*-7*(-30)\/(-525)?\nAnswer: 2, 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h**3 + 2*h**2 + 3. Let k(z) = -4*z**3 - z**2 - 2. Give 5*k(b) + 3*p(b).\nAnswer: 4*b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042367 to 3 dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Suppose -q - a = 0, -q - 4*a - 2 - 7 = 0. Suppose 0 = i + q, 5*f - 65 = 5*i + 20. Let p(r) = -f*r + 7*r + 11*r. Give j(p(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 2*o = 21*f - 12, f + 1 = 3*o. Suppose f*h = 10, 3*m - 215 = -2*m - 3*h. Calculate the remainder when m is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.45299 micrometers in nanometers?\nAnswer: 83452.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 7*h + 9. Let t be i(6). What is the units digit of (15 - 2) + 1*t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -4 (c) -1 (d) -5 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 8*t**2 + 4*t + 24. Let s be 3 - (4 - -4)\/(-2). Let c be z(s). Solve -2*o + c = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 70408, 562887, 1899598, 4502653, 8794164, 15196243, 24131002, 36020553?\n\"Answer: 70352*i**3 + 4*i**2 + 3*i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 j, and 1 k when four letters picked without replacement from {g: 13, k: 2, j: 2, u: 3}?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 - 20*p\/7 - 78\/7.\nAnswer: 2*(p - 13)*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*n**4 + 2*n**3 - 153*n**2 + 2.\nAnswer: 3408*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/((-36)\/(-4))*6\/(6\/(-1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c + 40. Let a(h) = -c*h + 2*h**2 - 3 + 8*h + h. Let q(i) = -i**2 + 1. Let d(w) = 2*w**2 + 4*w + 3. Let r be d(-2). Determine r*q(m) + a(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 0, -6, -4, -2, 3 in decreasing order.\nAnswer: 61, 3, 0, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4\/9 - 14164*x**3\/9 + 13788782*x**2\/9 + 41465464*x\/9 + 9220840\/3 = 0?\nAnswer: -7949, -2, -1, 870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 142*o - 360*o + 149*o - 214 + 46*o. What is l(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a factor of 1479936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.1 - 36. Which is the closest to -6? (a) -2\/13 (b) o (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7669.\nAnswer: 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3928586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 + 4*m + 4. Let u(y) = 3*y**2 + 3*y + 3. Let j = -59710 + 59712. Suppose 0 = 4*h - 3*d + 21 + 3, -d = 3*h + 5. Determine h*u(q) + j*v(q).\nAnswer: -q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 30*z**4 - 15*z**4 - 17*z**4 + 1083*z**2 - 981*z**2 to the form t*z + y*z**4 + w*z**3 + i + r*z**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 60*i + 1. Let l(b) = -23*b. Let a(m) = 5*l(m) + 2*s(m). Let y = -3 - -2. Let t be (y - -6)*(-6)\/15. Determine a(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.1 - -13.1. What is the closest to -0.1 in 3, n, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 - 842*f**2\/3 + 88198*f + 267126.\nAnswer: 2*(f - 633)**2*(f + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*f = 66, 5*m - 3*f + 183 - 49 = 0. Let g = -9971\/363 - 24\/121. Let r = g - m. Which is the closest to 0.1? (a) 5 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18989033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b, i = -4*i + b - 11. Let a be -4*(-1)\/i + 0. What is the nearest to 2 in a, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 9:03 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0, -13176\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 958*u + 5497. What is the tens digit of z(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 1 + -2 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -80. Suppose -2*m - r*c + 3300010 = 0, 0 = -2*c - c + 6. Round m to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 32 = 15*m. Let g be 12\/m + (-14)\/12. Let z be (-4)\/(-99) - 6\/27. What is the closest to 1\/2 in g, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**8\/2240 - t**7\/70 - t**6\/5 - 8*t**5\/5 + 3*t**4\/2 - 7*t. Let z(i) be the third derivative of j(i). Solve z(o) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2742, 5484, 8226, 10968?\nAnswer: 13710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/63)\/((z**38\/z)\/z) assuming z is positive.\nAnswer: z**(-2270\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -5*x + 35*s - 32*s, 5*x - 8*s = 232. Calculate the greatest common divisor of x and 1488.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447424586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 15*s. Let g be x(15). Let r be 2 + g\/(0 - -5). Suppose -76 = 2*o + r*d, -5*o + d = -3*d + 208. Sort 2, o, 1 in decreasing order.\nAnswer: 2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 22. Suppose -x + g*x - 50 = 0. Suppose -3*m = 1 - x. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8680*d - 8819*d = 2085 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 8 = 22*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6 + -8 + 12\/(-15)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114003 by -2151.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2283.0001622 - 2283. Round b to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 13. Suppose 6*p - c*p - 72 = 0. Calculate the remainder when 51 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 10408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151322918 is divided by 632?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -543 - -347. Let a = 93 + y. Let z = a - -803. Round z to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -7) + -1 - -2. Suppose 6*p - 5 = 5*z + 2*p, 4*z = 3*p - 3. Suppose -z*k + 2 = -4*k. Sort k, -3, j in ascending order.\nAnswer: -3, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 + 6 - 1 + 3312*c as m*c + f and give m.\nAnswer: 3312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153 is divided by 558?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2031945 - 2031946.033349. Let d = r - -0.99334885. Let i = 0.04 + d. What is i rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5050.627 years to centuries.\nAnswer: 50.50627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 53 (b) -0.5 (c) 2.0203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.338*-0.3\nAnswer: 0.1014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267*l**3 + 325*l**2 wrt l.\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5130151, 5130153, 5130155, 5130157, 5130159?\n\"Answer: 2*q + 5130149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 171\/54*105\/(-1995)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**10\/(x**(3\/10)\/x*x)*(x**(-5))**(-27) assuming x is positive.\nAnswer: x**(1447\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - -2) + -1 - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 0)*(-2*a + 0*a + 3*a) - 24*a + 6*a - 15*a.\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*g - 2. Solve -5*q + 22 = -q + 2*d, -g*q - 5*d = -25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**2\/2 + r + 15. Let w be f(-17). Suppose -b + 36 = -w. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - 1 + 0*d**2 + 2*d**3 - 223*d - 94*d - 4*d**2 as p*d**2 + j*d**3 + u + b*d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -0.05141.\nAnswer: -0.15141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 5, 18, 31, 44?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -58*f**2 - 5*f + 5. Let d be p(2). Let w = 1482 + d. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20039885 a multiple of 709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = -3, 0 = x - n - 59. Calculate the lowest common multiple of 18 and (10\/(-4) - -3)*x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2816\/17 - -11315\/68. Which is the second biggest value? (a) t (b) -26\/15 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - s + 3*z + 0 = z + 2, -5*s + 6*z = 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 588504797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*l, -15 = s + 3*l + 12 - 26 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57296879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2637 = 3*a, -3954 = 3*f - 6*f + 5*a. Let n = -4037\/3 + f. Find the common denominator of n and 47\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 + 7 - 4) + -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 238*p**3 - 4*p**2 - p + 1. Let d be g(-2). Let o = d + 42183\/22. Let b = -10\/11 + o. What is the fourth smallest value in 2\/11, -1, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 3*u**2 + 2*u**2 + (5*u + u - 4*u)*(5*u - 5*u + 7*u) - 595*u**2 + 1120*u**2 - 623*u**2 to l + k*u + q*u**2 and give q.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/265)\/(1289\/6080213).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -190294613*s**4 + 247006166*s wrt s.\nAnswer: -2283535356*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -29, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x**2 - 10*x + 4. Let v(u) be the second derivative of -7*u**4\/12 - 7*u**3\/6 + 3*u**2\/2 + 12*u + 4. What is 5*f(q) - 7*v(q)?\nAnswer: -q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 70?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 135 + 3 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*q - 4*y + 238 = -3*y, y - 3*y - 25 = -3*q - 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 98 = 106 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3048*v**4\/13 - 15415442*v**3\/13 - 522178*v**2 + 2417712*v\/13 + 60696\/13 = 0.\nAnswer: -2\/3, -3\/127, 1\/4, 5058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 5*d**2 + d + 1. Let k(h) be the first derivative of h**3\/3 + 9*h**2\/2 - 5*h - 1. Let x be k(-9). Determine s(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/4 (b) 1\/3 (c) -5 (d) -2\/5 (e) -5610\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 514688 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**3 - 4624 + 269068*l**2 + 884*l - 269004*l**2 - 4*l**3 = 0. Calculate l.\nAnswer: -34, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 21 = 2*x - 6*x, 32 = -4*h + 3*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -3*o - 37, 24 = 24*o - 25*o - 4*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m + 42 + 36 = 0. Let c(x) = x**2 + 3*x. Let s be c(-3). Let t be m + (12 - (s - -4)). Solve 3*q = t*j - 2*q - 25, -17 = -j + 5*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*k - 116*k + 55648. List the prime factors of k.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.94213 + 0.5\nAnswer: -8.44213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/8 (b) -16 (c) -5 (d) -2 (e) -0.1 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 644431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 74667*j + 522709. Give k(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4*y - 29 = 4*s, 5*y - 2*s - 39 = 0. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d + 14. Let v be s(-10). Let q = v - -58. Solve -4*i = -2*b + 2, q*i - 2 = -3*b + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 153494*w - 16. Let s(n) = -2*n**2 - 2*n + 10. Let b be s(2). Let r be g(b). Let f be -2 + 2 + (-2 + -2 - r). Round f to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1264*k**3 + 1224*k**2 - 276*k - 10.\nAnswer: -2*(2*k - 1)**2*(158*k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 at most 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 21, 8, -21, -72, -151, -264?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 232 and -21.6?\nAnswer: 253.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 3. Let c be q(7). What is the first derivative of -5 + 0*o**c + 4 - 5 + 2*o**4 wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/14*4\/24*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v + 27*v - 306 = -47*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9*u + 24. Let d be s(-4). Let m be (-54)\/d - 1\/2. Suppose m*h - 12 = -0*h. Solve -4*q + 5*r = 19, -h*q + 3*r = 17 - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 12. Let v be h(-5). Solve 3*g - 20 = -2*s, -g - 5 + v = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g - 2*w + 40 = 0, 8 = g - w. Find the second derivative of 6*c + 3*c - g*c**2 - 8*c**2 - 33*c wrt c.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 411375*k**2 - 9558516*k wrt k?\nAnswer: 822750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1312 + -1003012?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -21*d - 163. Is r(-9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*u + 8 = 4*j, 4*u + 1 = 3*j. Suppose 4*i - 1 = -a + 3*i, a + j*i - 11 = 0. What is a rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 2*i**4 - 4*i**4)*(5*i + 4*i - 3*i) - 4*i**5 - 2*i**5 + 3*i**5.\nAnswer: -15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*r + 5*z, -3*z + 0 - 21 = -2*r. What is the least common multiple of r and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -71671, -101976, -132281, -162586, -192891?\n\"Answer: -30305*i - 41366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and 1444?\nAnswer: 1443.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*t + 926 + 515 = 0, 5*k = 5*t + 1805. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 605157329 to the power of 1\/2, to the nearest integer?\nAnswer: 24600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101825863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1325, -1357, -1393, -1433?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i*i**(-2\/5))\/(i**(2\/11)\/i**(-2)) assuming i is positive.\nAnswer: i**(-371\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -43 + 17 - 4*g + g**2 + 24 - g**3 - 6*g**2. Give z(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.17, 1\/6, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**7\/105 + 3*g**5\/50 + g**4\/15 + 145*g - 1. Suppose v(h) = 0. What is h?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10006429, 10006422, 10006425, 10006444, 10006485?\n\"Answer: b**3 - b**2 - 11*b + 10006440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172308550 to the power of 1\/2, to the nearest integer?\nAnswer: 13127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + sqrt(1872) + -3 + sqrt(1872) - 4*-3*sqrt(1872)))**2.\nAnswer: -336*sqrt(13) + 366913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/3))**(3\/7))**(-29)\/((l**(-4)*l**(1\/9)*l)\/((l*(l\/(l*l**6))\/l*l)\/(l**(-2\/7)*l))) assuming l is positive.\nAnswer: l**(-1222\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -1\/76, -550\/47, 3 in ascending order.\nAnswer: -550\/47, -2\/21, -1\/76, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208.04 - 203. Let z = -0.04 + k. Let u = 10 - z. Which is the smallest value? (a) u (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46833*q**2 + q**3 - 117821*q + 46833*q**2 + 117821*q - 18*q**3.\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -92823.7 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 - 1832*x**2\/3 - 420138*x - 7540516\/9.\nAnswer: -2*(x + 2)*(x + 1373)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*m + 8*m + 258 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/13)\/(p\/p**(-1\/2)))\/(p**(1\/4)\/p*p)**48)\/(p**(-4\/11)\/p**(3\/7)*p*p\/(((p**(-9)\/p)\/p)\/p)*p**(2\/17)\/p) assuming p is positive.\nAnswer: p**(-871089\/34034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106*o = -1138*o + 352 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -133?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwyh when four letters picked without replacement from {y: 1, w: 2, j: 1, f: 1, h: 5}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(975\/54))\/((-6225)\/93375).\nAnswer: -54\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 425.6 to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.05 (b) 3\/5 (c) -39 (d) 40\/9 (e) -5 (f) -14\/5 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 37, 48, 67, 94, 129, 172?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = 2*q + 8 - 1, 386 = 4*q - 17*d + 357 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/((-2)\/20). Let q be (i - (-8)\/2) + 9. Let t(k) = -k**2 + 9*k + 3. Let p be t(q). Solve p = -0*l + l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 151, 1, 3906 in decreasing order.\nAnswer: 3906, 151, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11887775 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10a7c (base 15) to base 10\nAnswer: -52992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 625421 and 2488?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 22926, 2 in descending order.\nAnswer: 22926, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by -136\nAnswer: 29\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52570880.\nAnswer: 2, 5, 67, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdq when three letters picked without replacement from {q: 2, d: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.733766 rounded to two dps?\nAnswer: -1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/136 and -97\/176.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/173292435 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Suppose p*m - 12 = -0. Let t(i) = i**3 + 6*i**2 - 5*i + 4. Let g be t(-5). Calculate the highest common factor of m and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 15882461.\nAnswer: 142942149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(14\/(-35) - 9\/(-15)) - 7. Calculate the greatest common factor of b and 8616.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-2)\/(-4) + (-10)\/(-4). Let w(g) = -2 - g**z + 7*g**2 - 4 + 2*g. Is w(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 14*k**2 - 12. Let q(i) = -i**3 + 13*i**2 + i + 12. Let z(h) = 3*q(h) + 2*w(h). Is z(11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 181*j**4\/24 + 5*j**3\/3 + 11*j**2\/2 - 9. Let g(r) be the second derivative of d(r). Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 15 = -6*x. Suppose -3*i = a - 17, 0 = -2*a - 75*i + 74*i + 9. Sort 7, a, x in increasing order.\nAnswer: a, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2651 by 45.\nAnswer: 2651\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 8, 2, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496611.\nAnswer: 3, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-210))\/((319 - 173)\/(-1460))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 21.3.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2601854606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 326000 and 163000?\nAnswer: 326000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - 0) + 0 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173252?\nAnswer: 2, 43313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqoooolqtbt. Give prob of sequence tlto.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2*u + u + (7 - 4 - 5)*(-u + 0 + 0) + 2*u + 8*u - 29*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.039 less than 1?\nAnswer: -2.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n**4 - 4*n**2 + 4*n - 3. Let o(p) = 8*p**4 - 3*p**2 + 3*p - 3. Let d(h) = -3*i(h) + 4*o(h). What is the derivative of d(s) wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a. Suppose -18*m + 32 = -2*m. Let u(w) = -4 + 5*w**m + 0*w**3 + 7*w - w**3 + a*w**3. Determine u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36308 divided by 2798.\nAnswer: 18154\/1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1244*c**2 + 2*c. Let p be s(-1). Let v = -31144\/25 - p. Let g = v + 63\/50. Sort 0.5, g, 1.\nAnswer: 0.5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(7) + -2)*2 - (-4 + sqrt(28)\/sqrt(4))) + 4 + -1 + sqrt(252) + -5.\nAnswer: 1 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4*i + 39 = 0, 0 = -2*v - 3*i - 97 + 85 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0*s**4 + 1\/160*s**5 + 0*s**3 + 0*s + 0*s**6 - 1\/560*s**7 + 0 + 4*s**2. Find z such that p(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -12 - 942*f + 459*f + 8638*f**2 + 472*f. Is m(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*g + 70 = 0, -5*m + 99 = -4*g + 25. Let d = -8 - -98. Calculate the greatest common divisor of d and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90.957 + -91. Let z = 0.057 - o. What is the nearest to z in 0.13, 0.4, 1\/4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/49 in 9, -1, -2, 6\/37?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**(-1))\/u)**(-2)*u**(5\/2)*u*u*u**4)**(-5\/3) assuming u is positive.\nAnswer: u**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1520*w**3 - 24072 - 682*w**3 + 24096 - 16*w**2 wrt w?\nAnswer: -13212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -17203899.\nAnswer: 86019495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.92376514 - 4.924. Round t to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46709 - 42177 - 16776 = -2297*k for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 23310?\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26218 in 5, -0.1, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126801 divided by 22?\nAnswer: 126801\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*g - 1120 = 93*g. Is 40 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1236? (a) -4\/9 (b) -1\/104 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1, 0.3, 0.5, 1870\/167, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2538, -2500, -2430, -2322, -2170, -1968, -1710, -1390?\n\"Answer: i**3 + 10*i**2 + i - 2550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 219 + -1529\/7. Let h(d) = 3*d + 2. Let t be h(-2). Which is the biggest value? (a) k (b) 1\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12067 - -1417?\nAnswer: 13506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 2*n**2 + 26*n - 43. Determine l(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x - 20*x + 1820 = 0. Let g = x + 516. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h**2. Let t(k) = -958 - 19*k - 8*k + 55*k - 16*k - 10*k. Determine n(t(v)).\nAnswer: -44*v**2 + 42152*v - 10095404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - 13 - (-3958 - 19) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16144583 to the nearest one hundred thousand.\nAnswer: -16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0 + 1\/10*n**6 + 1\/2*n**3 + 0*n**5 + 0*n**2 + 2*n + 0*n**4. Find the second derivative of w(q) wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/624 and -139\/3149952.\nAnswer: 3149952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14a - 11?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2202 + 29446*h**2 + 2202 to a + d*h**2 + x*h and give d.\nAnswer: 29446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.77522 - -17.875283. Let r = 105 - 109.9. Let v = r - b. Round v to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/24 + 708\/72\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1037853 and 17739.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 - 4 - 9*c + c**2 + 2*c**2 + c**2. Let t be o(-4). Suppose 0 = -4*j - t, 0*b + 2*b - 5*j = 30. Let r(d) = d. What is r(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**2 + 8*k - 4*k**3 + k + 5*k**3 - 10*k + 1 to the form t*k + j*k**2 + c + b*k**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1885 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s + 18 = 0. Suppose -2*l = -s*l + 28. What is the greatest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1537, 5, -4 in ascending order.\nAnswer: -1537, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 790 + 99. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6507c (base 13) to base 2\nAnswer: 101100100010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (661 + 563 + 79 + 2*w)*(3 - 4 + 0) as q*w + a and give a.\nAnswer: -1303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -138, -126, -98, -48, 30, 142?\n\"Answer: i**3 + 2*i**2 - i - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2081595 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 24208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -210 - -209.9. Put s, 1\/7, 3 in ascending order.\nAnswer: s, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*m = -2*d - 90*m + 10, -3*m - 8 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*r + 2188 + 428 = -2104 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 7 in decreasing order.\nAnswer: 7, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 17*i - 2*i - 8*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 1.66825807246313.\nAnswer: -1.56825807246313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -747246.955 rounded to the nearest 1000?\nAnswer: -747000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/(u\/u**(3\/2))*(u*u**(-4))\/u**(-1))**(-24) assuming u is positive.\nAnswer: u**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -172505 + 453694. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 12*p - 2. Give z(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -31404012?\nAnswer: -31404015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*o**3 - 1120*o**3 - 2612*o**3)*(-1 + 3 + 3)*(-1 + 3 - 1)*(0 + 0 + 2).\nAnswer: -36720*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40479*c**3 + 46*c**2*u - 206966*c*u + 3*c - u + 1 wrt c.\nAnswer: -242874*c + 92*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 15. Let i(m) = 2*m - 3. Let y(u) = 3*f(u) - 4*i(u). Give y(18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1877 minus 80347456?\nAnswer: -80349333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**2 - 2 + 2 + (-1 - 5 + 5)*(0*u + u**2 + 0*u))*(11802*u - 11802*u + 105*u**2).\nAnswer: -945*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o + 6 = 0. Let c be o + (-1 - -26) + 3. Solve 2*f + c = -3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 838058602 and 12?\nAnswer: 5028351612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(2\/224*-1). Suppose 16*d - m = 12*d. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 7 + 4*y**3)*(-4*y - 1 + 1).\nAnswer: -16*y**4 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 9*h**2\/2 - 1. Let j(k) = 8*k**2 + 4*k**2 + k**2 - 12*k**2. Give f(j(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 4522.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**4\/12 + g**3 + 6*g**2. Let i(q) = -2*q + 20 - 3 - 3*q. What is 4*i(d) - 11*x(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 = -2*k + 3*k, 18 = -z - 5*k. Let h be (-2)\/(6\/z - -1). Let r = h - -14. What is the least common multiple of r and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 15 = -2*c. Calculate the remainder when (-903)\/(-9) + 5 - 8\/6 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 5*j - 5*s, 19*j + 3*s - 37 = 14*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 2\/(-18) - (-5520)\/(-621). Let i(y) = 118*y**3 - y - 9*y**2 - 119*y**3 - y - 11. Determine i(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(80) + 4)*5*-5.\nAnswer: -100*sqrt(5) - 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 11. Let b be (-2)\/7 - (384\/(-84))\/(-32). Put b, -1, 2, j in decreasing order.\nAnswer: 2, b, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -790, -2560, -4422, -5494, -4894, -1740?\n\"Answer: 147*u**3 - 928*u**2 - 15*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*q**3 - 885*q wrt q?\nAnswer: -912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 19. Which is bigger: u or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*o + 10. Suppose -o*b + 286 = 11. Let f = b - 55. Solve -4*j + 0*j - 5*s + 5 = f, 3 = -3*j + 3*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273742967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*u + 1)*(4 + 1 - 4) - u + 4*u + 0*u + 4*u - 14 + 14 - u + 2*u - 3*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3315\/(-4))\/(-51)*4.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183*g*p**3 + g*p**2 + 60704*g*p + g + 2159*p**3 + 49*p**2 + 14*p - 19 wrt p?\nAnswer: 1098*g*p + 2*g + 12954*p + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n - 92. Let p(u) = 2*u**3 + 4*u**2 + 3. Let r be p(-2). Let w(v) = v - 10. Let z(y) = r*t(y) - 28*w(y). Determine z(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17676763, 17676759, 17676755?\nAnswer: 17676751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + l + 3*l)*(-1 + 5 - 2) + (-4 - 2 - 1)*(l - 3*l + l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4))**(2\/109)*(p**(-1\/5)\/p)\/(p\/(p*p**(-2\/9)*p)) assuming p is positive.\nAnswer: p**(-4187\/9810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 241789574 to the nearest integer?\nAnswer: 15550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 210347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3930 - -3914 - (-1 - (-51 - 0))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 22*o**2 + 5*o - 27. Is 10 a factor of h(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (50\/(-14))\/(-5) + -1. Let m be 4\/10*(-2)\/4. What is the third biggest value in 2\/11, m, 1, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33198 (base 14) to base 5\nAnswer: 12430220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -336559 = -336598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 - 18258*u**2\/7 - 24575616*u\/7.\nAnswer: -2*u*(u + 1641)*(u + 7488)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 4\/21*s**3 + 900\/7*s + 16 + 60\/7*s**2. Factor a(w).\nAnswer: 4*(w + 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.099 + -0.331. Let u = 177 - 176.87. Let t = u + w. Which is the nearest to 0? (a) -1\/4 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5098 is divided by 420?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1624, 3231, 4836, 6439, 8040, 9639?\n\"Answer: -x**2 + 1610*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, 5 in decreasing order.\nAnswer: 14, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 988 = 2*m - 4750. Suppose 2*r + 37334 = 4*u, 2*u - m - 15795 = -2*r. Let y = u + -14733. What is y rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49674\/604854)\/((-17)\/(-6)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from xesjgggeeggegejegg.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267041 is divided by 39592?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -168661, -337153, -505645, -674137, -842629, -1011121?\n\"Answer: -168492*g - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1087 - 1079) + -1 + -3 + 58.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 12, -0.6.\nAnswer: -0.6, -0.07, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1568798, -1568730, -1568596, -1568390, -1568106?\nAnswer: -1567738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 19*x**2\/2 - x + 18. Differentiate m(l) wrt l.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.2563 millilitres in litres?\nAnswer: 0.1592563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212851, -851345, -1915383, -3404869, -5319707, -7659801, -10425055?\nAnswer: -13615373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (8 - (7 - -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-8)\/(-18)*(-69)\/(-46).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 9*f**5\/10 + f**4\/12 + f**3\/6 - f**2\/2 - f. Let a = 526162 + -526161. What is d(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26155764 + 2409.\nAnswer: 2409.26155764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2. Let v(q) = -q**2 + 31568*q. Determine v(a(r)).\nAnswer: -r**4 - 31568*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*j = -10, -6*j - 2 = -4*j. Let s be 4\/(6\/t - 1). Suppose 0 = -2*x - 0*x + s. Solve x*k + 5*h = -30, -k - h = 3*h + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 5, 1504\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3820\/9 + -424. Suppose -3*l = -4*c + 30, -3*l + 2*c = 42 - 18. Let z be l\/(-9) - (-112)\/(-231). What is the biggest value in -0.2, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 124 = -13*m. Suppose m*s - 113 = -5*k, s - 34 = -3*k + 3. Calculate the remainder when 285 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-231)\/308)\/((-6)\/4))\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 441 and 378?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001101 + -1?\nAnswer: 10000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.8923 times 142?\nAnswer: -3250.7066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**5\/10 + 3*b**4\/2 - 4*b**3\/3 - 36*b**2 + 68*b + 2. Factor s(h).\nAnswer: 2*(h - 2)*(h + 2)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = o + 6, -s - o = -5*o - 3. Let b(t) = -9*t - 4. Let l(x) be the first derivative of x**2\/2 + x + 2701. What is s*b(k) - 4*l(k)?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-1 - 1) + 4). Let x(v) = v**2 + v - 21. Let u be x(p). Let s = u - -73. What is the greatest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 1\/39 in decreasing order.\nAnswer: 4, 1\/39, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*l + 192 = 163*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**2*f*m - 2*b**2*m + 42*b**2*p + b*f*m*p + b*f*p + 144*b*f - 2*b*m + 6*m*p wrt b.\nAnswer: 8*f*m - 4*m + 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7396*l**4 - 518408*l**3 - 9108276*l**2 - 843920*l - 19600 = 0. Calculate l.\nAnswer: -35, -2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1143\/(-3556))\/(180\/(-16))?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 385276912866 and -0.4.\nAnswer: 385276912865.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 23*w**2 - 12*w**2 + 8 - 10*w**2 + 5*w. Give l(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/35*952\/(-85)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.026\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 5. Let g be q(-6). Let a = g - -5. What is the third derivative of -2*f**3 - f**3 + 2*f**2 + a*f**3 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45784709?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1722992843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -13*t - 2. List the prime factors of c(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116*-0.63626\nAnswer: -73.80616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 185400 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 0*d**2 + 3*d**2 + 0*d**2 + 3*d**2 to o*d**2 + i*d + t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 187960, 187959, 187958, 187957, 187956?\n\"Answer: -j + 187961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -182328294908.\nAnswer: -182328294903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/(-30))\/((-12)\/(-20)). Let x = -3 - t. Which is greater: x or -16?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4284 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-1)\/10*-4. Let t = -0.06 + 0.02. Let y = 0.04 + t. Which is the nearest to y? (a) 4\/9 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181195501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -138.\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32505475409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p**2 + 0)*(-6 + 2 - 2).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-5 - -6) - (-1 + -2 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 935533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + u + 1, -62862*u = 2*t - 62864*u - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(684)*3*1 + (sqrt(95)*-2*-1)\/(1*sqrt(5)*-3).\nAnswer: 214*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042125 rounded to three dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -56833 and -56827 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s - 2215 = -3295 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057721.\nAnswer: 7, 53, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98315\/16 - -6150. What is the common denominator of -17\/24 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4055135474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**2 - g + 1. What is the tens digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -2. Let n be (-6)\/4*i\/6. Let f be 3*(n + (-38)\/(-21)). Which is the biggest value? (a) -2\/5 (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15))\/1*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 2*r + 2. Let n be l(-2). Let p(k) = k + 2. What is the units digit of p(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/886 and 59\/10?\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 5*z + 2. Let m be d(-5). Let f(a) = -a**2 + 6*a + 7. Let n be f(7). What is the common denominator of m + n + 1 + -16 and 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (256 + -283)\/((-8)\/(-12) + 13\/(-6)). Solve 0 = 2*a + 4*l + g - 22, -3*l + 18 = -a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.88 - -2.03. Let a = -0.09 - q. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 45*o**4 - 43*o**4 - 2*o**2 + 3 to the form d*o**2 + y + u*o**3 + m*o + k*o**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*l**3 + 3 + 150*l**3 - 57*l + 115*l - 58*l + 53*l**3.\nAnswer: 129*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2128.1833 - 0.1833. Let a = f - 2131.589. Round a to 1 dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 12 - (-7 + (5 - 7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12))\/(((-2)\/4)\/(231\/308))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 3\/14, 1, -0.4, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 10) to base 16\nAnswer: d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4809571?\nAnswer: 13, 149, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 4712. Let n = u + -1567. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1638*h**5 + 1620*h + 644*h**3 + 1718*h**5 - 3780*h**2 + 840*h**4 + 841*h**3.\nAnswer: 5*h*(h + 6)**2*(4*h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-4) - -3*1. Suppose w = f + 2*f - 51. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Let y(k) = -k**3 + k**2 + k - 4. Calculate y(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-2)\/1) + -14. List the prime factors of (d\/7)\/((-2)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*s + 1740 + 7445 + 1432 = -1351 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 6\/1)*-1. Let n = l - -17. Suppose 17*m - 36 = 13*m. What is the remainder when n is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**28*m*m*m\/(m\/(((m\/(m\/(m**(-2\/151)*m)))\/m)\/m))*m)\/((m\/m**(-5\/16))\/(((m\/m**42)\/m)\/m)) assuming m is positive.\nAnswer: m**(-32195\/2416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 8.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.765 + -4.62. Round v to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -5, -4, -3?\n\"Answer: p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 96116?\nAnswer: 1922320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 141494171 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5 + 16. Let j(z) = z - 11. Let v be j(h). Let x(r) = r. Calculate x(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 365314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 - 775*j**2 + 248*j + 2580. Calculate i(258).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1 + -1 + 1. Let l be (-3)\/(-9)*t*-42. Find the first derivative of -5*d - l*d + 1 + 10*d wrt d.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*z + 15, 19*z - 31 = -d + 27*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 6\/10)*(-29 + 30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -80, -76, -72?\n\"Answer: 4*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 44, 143, 284, 449, 620, 779, 908, 989?\n\"Answer: -3*m**3 + 39*m**2 + 3*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 183 (b) -11 (c) 1 (d) 15\/2 (e) 0.5 (f) -3 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 7408\/5503?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgg when three letters picked without replacement from {z: 6, g: 2, q: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13947.62ng in micrograms?\nAnswer: 13.94762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5421 or -5436?\nAnswer: -5436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 11*i - 70*i**3 + 6*i**2 - 9*i**2 + 15*i to f*i + h*i**3 + w*i**2 + q and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -392154 - -392150. Let n(j) = -j - 1. Let y(b) be the second derivative of b**3\/6 + b**2\/2 - b. Calculate i*y(s) - 3*n(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 25*b**3 - 3*b**2 - 3*b + 3. Let c(s) = 4*s + 4*s**2 - 317*s**3 - 303*s**3 + 594*s**3 - 4. Determine -3*c(p) - 4*v(p).\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 4*t - 2. Suppose 4*d = -5*z - 33, 2*d + 2*d + 2*z + 18 = 0. Let w be n(d). Solve 5*s + j = s - 10, -5*j - 14 = w*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 8:16 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**6\/120 - z**5\/5 - z**4\/24 + 17*z**3\/6 - 4*z**2. Let p be t(12). Solve -5 = -p*r - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240 (base 7) in base 16?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2688 and 199183488?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-168)\/(-9))\/7)\/((-24)\/72)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let v(q) = 4*q**2. Let n(j) = 2*j + 5. Let h(p) = -3*p - 7. Let f(s) = -5*h(s) - 7*n(s). Calculate v(f(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 + 259*c**3 + 23760*c**2 + 876800*c + 9728000 = 0.\nAnswer: -80, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1 - 8 - 1 + 47*p**3.\nAnswer: 47*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 25*y**2 + 164*y + 146. Let q(k) = -2*k**3 - 50*k**2 - 326*k - 293. Let o(t) = 5*g(t) + 2*q(t). Factor o(i).\nAnswer: (i + 1)*(i + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2))\/sqrt(10)*3 + sqrt(6)\/(sqrt(18) + sqrt(72)\/sqrt(4)).\nAnswer: 19*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4264592 divided by -212.\nAnswer: 20116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3\/2 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37959.\nAnswer: 3, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 14 + -7 + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (274 - 278) + 7 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2274?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -446 at least as big as -442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -404 or -348?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333692, -667456, -1001220, -1334984?\nAnswer: -1668748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9246, 8840, 8434, 8028, 7622, 7216?\n\"Answer: -406*q + 9652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -93158561387859.\nAnswer: -93158561387863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(336)\/((sqrt(48)*-3 - sqrt(48))\/sqrt(4)))\/(sqrt(196) + 1*sqrt(196)*1 + sqrt(196)).\nAnswer: -sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 4*p + 33. Let b(v) = v**2 - v - 1. Let h(r) = a(r) - 4*b(r). Let y(s) = s**3 - 3*s**2 + 3*s - 2. Let i be y(2). Is h(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1018 and -3.\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53299655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 3 - 3)*(-a + 2*a + a) + 161 - 6*a**3 - 161.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115714941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 13*v**2 + 2 + 7 - 2*v - 3. Suppose 0 = 2*q - 45 + 49, -3*q = 2*b. Is c(b) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*j**3*m**3 - 15*j**3 + 51*j*m**3 + 74 with respect to m.\nAnswer: 42*j**3*m**2 + 153*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 8:10 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 - -80. Let s be a\/18 + 100\/108*3. Calculate the greatest common factor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from voxxvvoo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p = 2*b - 32*p - 41, -338*b + 2*p = -365*b + 71 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/138592 and 79\/64064?\nAnswer: 277461184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211002100200 + 0?\nAnswer: 211002100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 791896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1133*x - 11332. What is a(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 10) + 114 + -106.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2247735 and 105.\nAnswer: 2247735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6753 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73.59 + -1.41. Let j = 75.0174 + g. What is j rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = j - 19, 1782238*v + 3*j - 13 = 1782240*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15173 + 6686. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9\/5)\/((c*c**(-3\/14)*c)\/c*c)*((c\/c**26*c)\/c)**22 assuming c is positive.\nAnswer: c**(-38751\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 14) to base 15\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43928 and 408?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -201.13009301 + 201.13. Round t to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 - 3*a + 7 + 81*a**4 + 5*a**3 - 6*a**3 + 4*a**3 - 73*a**4 as b + n*a + x*a**2 + f*a**4 + i*a**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 + -92. Factor 230 - 4*d**2 + 16*d - 270 + n*d + 10*d.\nAnswer: -4*(d - 10)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296858509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:01 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 11) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) -3\/5 (b) 0 (c) -0.2 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -8 - (-2 + 8)\/3. Suppose -b**2 + r - 9 + 2*b + 4 = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + -2 + 4 + sqrt(1300) + ((-1*sqrt(1300) + 2)**2 + sqrt(1300) - sqrt(1300)*-2*-3))*2.\nAnswer: -160*sqrt(13) + 2622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 281 = -2*p - 50*a - 1057, -5*p + a + 42 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -706 and 15?\nAnswer: -10590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/10 + (39\/15 - 0). Find f, given that -7*f**2 - 18*f**3 + 6*f**3 + 3*f**n + 8*f + 4*f**5 + 4*f**4 + 0*f = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -42. Find k, given that -4*k**4 - 5*k**2 + 22*k**u - k**4 - 18*k**3 + 6*k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p**2 - 131*p + 5 + 2158*p - 126*p - 1901*p - 3.\nAnswer: 31*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/287 and -58\/852677?\nAnswer: 852677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854982654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -141, -524, -1257, -2454, -4229, -6696?\nAnswer: -9969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 2484 - 1315 + 2*a - 1244. Determine d(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 533 - -560?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/7) - (-44)\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 6:49 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**4\/6 + 2*c**3\/3 - 8*c**2. Let b = 475 - 481. Determine h(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1694 - -1694. Which is smaller: 477 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2367 = 290*p - 45 - 3968 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 21*r. Let l(z) = 43*z. Calculate -4*l(d) + 9*x(d).\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 + 738 = 52*b - 203 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**4 + 5*g**3 + g**2 + 50*g. Let d(m) = -m**3 + m**2 + 2*m. Let a(v) = 35*d(v) + 7*p(v). What is the second derivative of a(k) wrt k?\nAnswer: 168*k**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 6*q**2 - q - 5. Let g be c(-6). Solve -3*x = -2*j - g, 2*x - 3*x = j - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.6 + 2.6. Which is the biggest value? (a) k (b) 3\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 + -253?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17806877?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 16) to base 6.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(320) - -3*sqrt(320) - sqrt(320)) - -5*(sqrt(320) + 3)**2 - ((-2*(sqrt(320) + sqrt(320) + 3 - sqrt(320)))**2 + sqrt(320) + -3 + -2 + sqrt(320)).\nAnswer: 334 + 176*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.016 - 0.284. Let g(m) = -m**2 - 7*m - 3. Let x be g(-6). Let z be (1 + 2)\/x + -3. Which is the closest to -3? (a) z (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, 2, 1 in ascending order.\nAnswer: -18, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 10*n**2 + 8*n - 30. Let z be u(-11). Suppose 4*p - 25 = -g, 2*p - z*g = -p. Sort p, 35, 4.\nAnswer: 4, p, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.7 - -11. Let f = p + 0.7. Put 2\/5, -2\/9, f in descending order.\nAnswer: f, 2\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, b: 7}. What is prob of picking 2 i and 1 b?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*h = -16, -15 - 6 = 5*r + 3*h. What is the remainder when 2\/6 + 17\/3 is divided by (0 - (-4)\/r)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/324 and -43\/54.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 times -64.41\nAnswer: 289.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by -3.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/23, -9, 12?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1336 - 1332. Solve 5*b - 5*j = -10, 4*b + x*j = -b + 35 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 14*y - 34. Let w be z(-4). Let x be w\/16 - (-4)\/(-16). Suppose 10*d - 4*d = -12. What is the nearest to d in -4, x, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**2 + 2 - 7*d**2 - 12*d**2 + 44*d.\nAnswer: -d**2 + 44*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 54. Solve u = -4*l - 14 + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Suppose -11*a + 20 = -101 + 22. What is the common denominator of -16\/33 and a\/(-15) + r\/(660\/844)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (0 + sqrt(19) + -5)**2)*4.\nAnswer: -176 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*k + k**2 + k**2 - 3*k**2 + 3*k**2.\nAnswer: 2*k**2 + 87*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 7*y**2 - 8*y - 7. Let v = 16 + -22. Let f be l(v). Suppose -n + 20478 = f*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -203, -804, -1805, -3206, -5007?\n\"Answer: -200*a**2 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 241*l**2 - 732*l.\nAnswer: l*(l - 3)*(l + 244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220170 and 99766366?\nAnswer: 1496495490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8733705, -17467564, -26201421, -34935276, -43669129, -52402980?\n\"Answer: v**2 - 8733862*v + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 6. Let b be 24\/156 - 108\/26. Let j be (-12)\/18 - (-40)\/6. Let a(h) = j - 5 - 3 + 3. What is b*a(u) + q(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-25) - (-34)\/(-60). Which is the biggest value? (a) 0 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2225, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058487 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 41*q + 33 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpwx when four letters picked without replacement from {w: 4, p: 1, x: 1, g: 1, v: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-24)*3456\/540?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2669271 and 1551?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -3 (b) 51 (c) -169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 6*h**2 + 4*h**2 + 11*h**3 - 5*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p - 3 = 0. Let q be (p\/3)\/((-1)\/18). What is the highest common divisor of q and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r + 15. Let q be k(-4). Let i = -10 - -22. Calculate the remainder when (-4)\/24*q*-92 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - -2) + -3 - -2) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4744\/25 + 939\/5. What is the common denominator of u and 3717\/60*(1400\/(-48) + 29) - -12?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 23. Let g = r - -26. Put -1, 11, g in decreasing order.\nAnswer: 11, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -25. Suppose -k = -0*k + 5*z - o, -5*k + 85 = 2*z. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 0*v + 3*v - 138 + 100 - 3*v.\nAnswer: v - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 100?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 3*p**5 + (2*p**2 - 2*p**3 - 2*p**2)*(p - p + p**2) + 2*p**5 + 0*p**5 - p**5 + 0*p**4 - 5*p**5 + 0*p**4.\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -2bd1d?\nAnswer: 2bd22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdddzddzzhzdzzdhhzz. What is prob of picking 2 z?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1634719 is divided by 272.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/135 + (-4352)\/(-15). Differentiate 293 - n + 4*u + 27*u**4 - 4*u with respect to u.\nAnswer: 108*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 567 in ascending order.\nAnswer: 1, 3, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnrn when four letters picked without replacement from {r: 4, p: 5, c: 1, n: 2, t: 5, f: 1}.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 507289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110100000 + -11110100110100?\nAnswer: -100010011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -33*o**2 - 17*o - 17. Let n(w) = -16*w**2 - 8*w - 8. Let m(p) = 6*k(p) - 13*n(p). Suppose -5*c = -42 + 52. Is m(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 19*c = 6. Factor 1\/2*s**c + 1 + 3\/2*s.\nAnswer: (s + 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 358*n**2 - 4 - n - 5.\nAnswer: 358*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/667 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1. Let t(j) = -j - 10. Let z = 99 + -109. Let x(v) = z*u(v) - 2*t(v). Let h be x(13). What is the greatest common factor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15932108.961 - -0.2\nAnswer: -15932108.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004998069 rounded to 6 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - m + 1. Let a be g(-3). Find p such that 2*p**2 + a*p**2 - 3*p - 33*p**3 - 39*p**3 + 3*p**2 + 48*p**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*i - 12, t - 11 = 3*i + 7. Let k be (-866666)\/(-4)*i + (-3)\/3. What is k rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11176*a**3*u**3 + 3*a**3*u**2 - 10*a**3 + a**2*u**3 - 83*a**2 + 2*a*u**3 + 3*u**2 wrt u?\nAnswer: 67056*a**3 + 6*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t + 4. Let g(z) = 2*z - 1. Determine 26*g(q) + 6*i(q).\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 1)*((-7686)\/45 - -170)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -984057 divided by -328019?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9 + 8841 + 12\/(-1 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366 + -404. Let v = c + 35. What is the third smallest value in v, -11, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i**2 - 5*i - 2. Let u be n(5). Let g = 469 - u. Calculate the remainder when g is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 105609.069725401?\nAnswer: 105609.079725401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -318 and 1.6?\nAnswer: -508.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = -1, -4*j = -a - 25. Suppose -2*t - 5*i + 83 = -j*i, -58 = -2*t - 4*i. What is the remainder when 76 is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.63 - 0.37. What is the closest to 2 in -3, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1825 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 14*v**2 + 5*v - 62. Let a be z(14). Suppose a*c - 412 = 484. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153463.\nAnswer: 19, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 702 and 39.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*((-8)\/(-42)*3 - 152985620\/868) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22496+-461829908\nAnswer: -461829908.22496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69521*h*u - 580*u + 45 wrt h?\nAnswer: 69521*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(3 - 6 + 4*s + 5 + 2*s - 2*s - 2*s + 0*s + 0*s - 2*s + s + 2 - 2 + (s + 3 - 3)*(-1 - 4 + 7)).\nAnswer: 6*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 23554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -94896 less than 0.27?\nAnswer: 94896.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 13544?\nAnswer: 148984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + -4 + 7 + 5. Suppose -r = 3*r - k*c - 202, -r + c + 50 = 0. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7)*(-86)\/(-2838).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 10:53 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0079983213 to 6 decimal places.\nAnswer: -0.007998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7533 + 2450. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1 + (-2 - 4 + 1)*(-5 + 0 + 3))*(-590*n + 365 + 591*n - 33) as o*n + x and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -62*t**2 - 52*t + 25. Let k(u) = 32*u**2 + 23*u - 12. Calculate -4*f(x) - 9*k(x).\nAnswer: -40*x**2 + x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**3 + 18*j**2 + 16*j - 3. Let t(v) = 2*v**3 - v**2. Let s(c) = -g(c) - 3*t(c). Let z be s(16). Solve 0 = -2*l - z*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -9. Let t(a) = a**3 - 4*a**2 - 4*a - 7. What are the prime factors of t(n)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-6 - (-3 - 0) - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -131 and -0.91682.\nAnswer: 120.10342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.265 + -1.402. What is c rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -122, -192, -262, -332, -402?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42377504*l + 84755171*l - 42377667*l - 11*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o**3*s**3 + 2069*o**3 - 62*s**3 - s**2 - 33*s wrt o.\nAnswer: -15*o**2*s**3 + 6207*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -4.5. Let n = l - 0.9. Which is the closest to 0.2? (a) n (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 1880?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -125453*r. Let z(d) = -22*d**2. Calculate y(z(x)).\nAnswer: 2759966*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1589.\nAnswer: 3178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - d = 163, -b + 2*d = 5*d - 31. Does 34 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:29 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, u: 5}. What is prob of sequence uuu?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 5 = -n. Let t = 4.381 + -0.381. Which is the third smallest value? (a) t (b) n (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -5 - ((-2 - -7) + -12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -65*u. Let h(s) = -s**2 + 110*s + 47. Determine h(d(x)).\nAnswer: -4225*x**2 - 7150*x + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20 - -4)*2*2. Suppose -q = n - 5*n. Suppose 6*v = 7*v - n. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 18. Solve 0 = 5*p - k*n - 2*n - 20, 5*n + 20 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -4, 4, 7, -1.5 in ascending order.\nAnswer: -4, -1.5, -1\/8, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(2*f - 4*f - 40*f) - f + 2*f + 0*f.\nAnswer: -41*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116696 + -70753. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, -1, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 - 1. Let g be i(1). Let v(u) = -2*u - 1. Give v(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2. Let u(z) = -151*z**2 + 3. Give f(u(y)).\nAnswer: 68403*y**4 - 2718*y**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j = -24*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 9)*(4096 + 329*b - 4096).\nAnswer: 3619*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(42\/(-12) + 5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -9, 5, 3, 4 in decreasing order.\nAnswer: 5, 4, 3, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/((-10)\/102). Let b(x) = 2*x - x - 10 + 9 - 3. Let l be b(1). Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137 divided by 649\nAnswer: 137\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76547591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from uvqvqvsqum.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346, -1369, -3068, -5443?\nAnswer: -8494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 6*r**2 - r - 3. List the prime factors of l(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 781 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 2 - (-30 + 6)\/8. Let p(l) = l**3 - 5*l**2 + 2*l + 6. Let w(i) = -3*i**3 + 10*i**2 - 5*i - 12. Let m(z) = -5*p(z) - 2*w(z). Give m(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from rrrrjrjrrrrrrj.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 173*k**2 + 3*k - 3. What is j(-1)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27839771 is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2437210, -4874357, -7311504?\nAnswer: -9748651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/2 of a decade?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 158*c**2 + 5*c + 5. What is the hundreds digit of s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, l: 2, a: 7, i: 5}. Give prob of sequence ail.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/3624 and -103\/4228.\nAnswer: 25368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxzxgxxgxxxxxg. Give prob of sequence xzg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6538 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2583059617 take away 3?\nAnswer: -3.2583059617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5547555, -5547552, -5547547, -5547540?\nAnswer: -5547531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (17\/1)\/(-19 - -20). Suppose 0 = -2*o - 2*i + 34, 0 = -15*o + 12*o - 5*i + 61. Is h at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 8*i**2 + 4*i - 2. Suppose 4*p - a + 36 = 4*a, -4*p + a = 20. What is the units digit of z(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*s - 104*s. Solve 16*a - 62*a - 368 = s for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 155, -3, 11.\nAnswer: -3, 1, 11, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4149 or -4139?\nAnswer: -4139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(130))\/((sqrt(80)*-1)\/sqrt(8)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-6195692.\nAnswer: 18587076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**4 + 0*l + 0*l)*(0*l + 0*l + l)*(10 + 5 + 7) + (5 - 5*l - 5)*(5*l**4 - 2*l**4 + 0*l**4).\nAnswer: 95*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-204)*-1*(-45)\/15\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -8*n - 16*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6 + (95227\/3630 - (-1)\/10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -35 (b) 0.6 (c) -0.4 (d) -1\/5 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 77335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13356178.\nAnswer: 2, 11, 47, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502279 is divided by 512?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -108 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 + i**5 + i**5 + (-15*i + 15*i + 4 + 2*i**2 + 0*i**2 + 3*i**2 - i**2 + (0 - 2 + 4)*(-3*i**2 + i**2 - i**2))*(2*i**3 + 0*i**3 + 0*i**3).\nAnswer: -6*i**5 + 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 44*d + 152. Determine z(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 193, 229, 265?\n\"Answer: 36*h + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224 + 224 + 37*l + 0*l + 3*l - 4*l + (l - 3*l + l)*(-6 + 5 + 4) to the form s*l + g and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866 = 85*q + 69 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 2*b**2 - 3*b - 1. Let w(d) = -3*d**2 - 6*d - 18. Let f be w(-5). Let q be 2*(-4 + (f - (3 + 1))). Let v = 145 + q. Determine g(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 2488 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25292841 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 11, -962?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -70*l**2 - 2. Let u(i) = 11*i**2 - 6. Determine j(u(z)).\nAnswer: -8470*z**4 + 9240*z**2 - 2522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/8 and -253006 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1946800 and 137\/6510?\nAnswer: 40882800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13649? (a) -0.3 (b) 1 (c) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -10. Let t = 350 + -358. Sort z, t, -4 in decreasing order.\nAnswer: -4, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 36. Calculate the smallest common multiple of 22 and (r\/(-1))\/(3\/24).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 154689817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 2, -0.066, -1\/22 in descending order.\nAnswer: 2, 3\/7, -1\/22, -0.066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gehg when four letters picked without replacement from dbqbbhgeqqhgdgbgeqg?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:33 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 10*h + 42 = -0*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 304208 = -3452848. Round w to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 2985 - 19*d**2 - 2*d**2 - 3*d**2 - 2*d**2 + 4*d**2.\nAnswer: -22*d**2 + 2*d + 2985","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 508 and 225344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 155088174*k**3 + 56989720 wrt k.\nAnswer: 465264522*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -623009 - -623008.87600078. Let k = a - -0.124. Round k to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/538688 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1644\/42 + (-2)\/14. Suppose -6 = -i*l + 37*l. Solve -l*v = 2*o + 6, 5*o - 4*v - 8 = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 + -0.6. Do -0.1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 10 = 37. Suppose -4*i = -a*i + 90. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64632, 128741, 192334, 255411, 317972, 380017?\n\"Answer: -258*p**2 + 64883*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 100a + -17?\nAnswer: dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233204333 (base 5) to base 16.\nAnswer: 10511f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361714775.\nAnswer: 3, 5, 18156197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(13) - sqrt(52)\/sqrt(4)*-5) + ((sqrt(13) - sqrt(208))*2)**2)*-4.\nAnswer: -1872 - 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.5 - 17. Let t = o - 1.44. Let n = -15 - -14.8. What is the closest to 0 in n, -5\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**3 - 6*z**2 - 2*z - 6. Let o(d) = -7*d**3 - 7*d**2 - 2*d - 7. Let q(s) = 3*o(s) - 4*t(s). Is q(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 768 and 120?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(104) + 1*(-2*sqrt(104) + sqrt(104)))\/((sqrt(88)*-2)\/sqrt(11)) + sqrt(117)\/(sqrt(45)\/sqrt(5)) + -1 + 1 + -4)**2.\nAnswer: -4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3644\/5 + -729. Put m, 0.2, -1, 2 in ascending order.\nAnswer: -1, m, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -69*w + 8. Let y(j) = -72*j + 7. What is 5*v(i) - 6*y(i)?\nAnswer: 87*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((0 - 2) + -1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: What is -134d (base 16) in base 10?\nAnswer: -4941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 5*v**2 + v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 6*n**2 + 3*n + n**3 + 0*n + 2*n. Let a be h(6). Let w(g) = -g + 2. Let p be w(-4). Calculate the highest common factor of p and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49026020, -49026019, -49026018, -49026017, -49026016?\nAnswer: -49026015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 91. Suppose -9*y = t*y - 3060. List the prime factors of y.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 159. Let t be (-143)\/z + (-3)\/(-2). Which is the third smallest value? (a) -3 (b) 2\/5 (c) -0.4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 - 81*s**4 - 153*s**3 - 75*s**2 = 0 for s.\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/3)\/r)\/(r*r**(-10))*(r**(-3\/5))**(-2\/75) assuming r is positive.\nAnswer: r**(2506\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 398624521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 20 = 10*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -20. Let z = -11 + q. Let m be (-5 + 2 - z)\/2. Is m >= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/10216 and -39\/20432?\nAnswer: 20432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 - 241. Let q = k + 165. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 11, e: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -29, -22, 5, 58, 143, 266?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 541200 divided by 200\nAnswer: 2706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14162 + 88711. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -22 - (4 - (-3)\/(-3))*-1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55055, 55051, 55057, 55079, 55123?\n\"Answer: h**3 - h**2 - 8*h + 55063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 272 - 82. Let f = -113 + d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.93812855 to 4 dps.\nAnswer: 1.9381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 - 10\/6. Let b = -3614.777 + 3613. Let q = b - -1.857. Are p and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 7*j**3\/3 - 33*j**2 - 3*j + 6. Let t be n(5). Solve 4 = t*m, -a = 3*a + 2*m + 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11289 divided by 71?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5172 - -10?\nAnswer: -5162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*s - 4. Let m = 34 + s. Let i = 135 + m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.97 or -772248?\nAnswer: -772248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*m - 37 = 0, 138*z + 5*m + 2516 = 70*z for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2581 and 34046?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/10925 and -38\/575575.\nAnswer: 10935925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*n**4 - 89*n**3 - 2744*n**2?\nAnswer: 2040*n - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - 4*x)*(-3*x + 53412 - 53412) + 4*x**2 + 5*x - 5*x.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009641762884 rounded to 4 dps?\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzvmz. Give prob of picking 1 h and 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269025?\nAnswer: 3, 5, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 0.0654\nAnswer: -1.1118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 28*a - 107. Let l be g(4). Factor 0*c**2 + 0*c**3 + 2\/9*c**4 + 0 + 0*c + 2\/9*c**l.\nAnswer: 2*c**4*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 986, 316 in increasing order.\nAnswer: -4, -1, 316, 986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1245*j - 4234. What is the remainder when i(4) is divided by 182?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v - 3. Let u(f) = f**3 + f. Suppose 548*z - 593*z + 10 - 55 = 0. What is z*u(s) - c(s)?\nAnswer: -2*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-4))\/(45\/75*10\/(-4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*s - 75714 - 627013 = 24*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5064 divided by -304.\nAnswer: -633\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 48976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398577073548 - 3?\nAnswer: 1398577073545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9065598 by 6.\nAnswer: 1510933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-990)*((-2)\/6)\/(11\/132)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 12 = -4*i, -i = 2*k - 6*k - 24. Let b(g) = -g**3 + 2*g**2 + 5*g - 2. Let w be b(3). Let n = w - k. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 0 - -12) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/168)\/(3\/(-12)). Is t bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/10 - -1\/5. Let k = 306.7 + -306.2. Put 5, c, k, -9\/5 in ascending order.\nAnswer: -9\/5, c, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111100011110000000 + 101?\nAnswer: -1010111100011101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -42. Let r = -7 + 9. Calculate the lowest common multiple of (-8)\/u - (-68)\/3 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282400 and 275.\nAnswer: 3106400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 463836877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 228545.1 centimeters in kilometers?\nAnswer: 2.285451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/6 + 3884*s\/3 = 0.\nAnswer: 0, 7768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 2, d: 6, i: 2, m: 4}. What is prob of sequence vvi?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -6. Suppose 2*x + x = 3. Let d be (5\/3 - x)*3. Solve 0 = -w*r + 12, d*v + 0*r + 6 = -r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -791617 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134895*s**2 - 1562*s - 132449*s**2 + 422*s wrt s.\nAnswer: 4892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 43, -5, -11, -2\/17, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7330 divided by 3314\nAnswer: -3665\/1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/65 + 64824\/(-19240).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76184 and 2504.\nAnswer: 23845592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 135 * -0.3\nAnswer: -40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 85*k**2 + 400*k + 2. Give h(80).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54016 - 41?\nAnswer: 53755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(21)\/(sqrt(7) + sqrt(7) + (3*sqrt(343) - sqrt(7)) + sqrt(7)))**2.\nAnswer: -3\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/5 of a litre?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 10:17 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*n + j - 10, 5*n + j = 3. Solve 1\/12*f**3 - 1\/6*f + n - 1\/12*f**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 24*t + 90. What is the remainder when r(5) is divided by 68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16304)\/(-2040) - 8)\/(33\/(-495)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**3 + 0*t - 18*t**4 + t**2 - 22*t**4 + 39*t**4 + 3*t in the form f*t**2 + z + k*t + l*t**3 + x*t**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*q - 8 = 0, 4*q = 4*x + 54 - 10. Let c = -5 + -3. Is c less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 776803048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -52?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 4*b + 63. Let k(n) = 2*n**2 - 7*n + 127. What is 5*c(g) - 3*k(g)?\nAnswer: -g**2 + g - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 12*r + 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 595*t**4\/4 - 417*t**2\/2 - 71. Find the second derivative of q(h) wrt h.\nAnswer: 3570*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, e: 7, v: 3}. Give prob of sequence ev.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5382 is divided by 215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-15.41506.\nAnswer: 15.41506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - -73f6?\nAnswer: 7403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1455.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(64\/(-126)) + ((-170)\/10 - -13). What is the third biggest value in -1, m, 2, 3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112341 - 0?\nAnswer: -112341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/8*(4 - 1758) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112002002 - -11221?\nAnswer: 112021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 12:41 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*((1 - 3 + 3)*(2*w - 2 + 2) + 3*w - 3*w + 2*w + 150 + 6860*w - 6859*w - 41) to the form d + f*w and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6702710?\nAnswer: 2, 5, 7, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 103, 148, 189, 226?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -21. Let c be 2\/10 - (-4)\/(-10). Is f < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*f + f**3 - 8*f - f - f**2 + 8*f to the form y*f**2 + d*f + m*f**3 + w and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 45*w. Let r(v) = -3*v**2. Determine q(r(y)).\nAnswer: -135*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 + -126. Calculate the remainder when 22 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*v**3 + 27*v**3 - 90*v**3 + 7214*v**2 + 31*v**3 - 7214*v**2.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9420 + -169507\/18. Let g = 703\/3 - 451\/2. Calculate the common denominator of g and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26163 and 7047.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2428 = 22*b - 3622. Let z be 2 - (4 + -2) - -25. What is the highest common divisor of z and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -7)\/(3\/(-2)). Suppose -g*a = 2*a - 344. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41810 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 n when three letters picked without replacement from {n: 1, c: 2, l: 1, q: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5143077 is divided by 20822.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 43*d = 20*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 19*j**2 + 64*j - 21. Suppose 0 = 304*y - 305*y - 22. What is the remainder when 158 is divided by t(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -a + 4311. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -76*f + 322. Give r(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 314*y**2 - 5*y. Let l(d) = 210*d**2 - 3*d. Determine -8*l(o) + 5*r(o).\nAnswer: -110*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 7 + 5. Let l be ((-3)\/(q\/(-16)))\/(-2). Suppose -5*x + 3*p + 397 = 0, 2*p - 86 = -x - l. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4811, 12881, 20949, 29015?\nAnswer: 37079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o**2 + 4*o**3 + 3*o - 2 - 8*o**3 + 5*o**2 - 21*o**2 to the form k*o**2 + p + l*o**3 + v*o and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 9:03 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/2*x**3 - 95*x**2 + 14400 + 240*x = 0. What is x?\nAnswer: -10, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let r(q) = 3*q - 1. Let l be r(-1). Put -3, l, n in decreasing order.\nAnswer: n, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**13)\/(s*s**15*s) assuming s is positive.\nAnswer: s**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 114687, 458760, 1032215, 1835052, 2867271?\n\"Answer: 114691*f**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -4. Let a be (6\/(-2))\/(f\/32). Solve d = -a*v, -3*d = 2*d - 2*v - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46682 = 27*f - 44*f. What is the tens digit of ((-234)\/27 + 8)*(f + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/858, -19\/4, 1\/2, 1?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 + (-85605)\/(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115158 minus 1?\nAnswer: -115159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2787241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 4, 26565, -11\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -79*(147\/(-84))\/((-21)\/12)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 544220329 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = -114*r + 132 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 155.6, 1\/27, -803, -4.\nAnswer: -803, -4, 1\/27, 155.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499581 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -66165779465 and 40.\nAnswer: -66165779425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 22556.31 tonnes?\nAnswer: 22556310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -3 + 2 + 1. Suppose 0 = -0*a - 3*a - 5*d + 11, 3*a + 2*d - 8 = j. Suppose -35 = -3*g + b, 5*g - 31 = a*g + 2*b. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 14 + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15*z**2 + 360*z + 29. Let u(n) = -8*n**2 + 195*n + 15. Calculate 11*u(f) - 6*v(f).\nAnswer: 2*f**2 - 15*f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/5)\/p**(-2\/9))\/(p\/(p\/((p*(p*(p**(-2\/9)*p)\/p*p)\/p)\/p))*p**(1\/13)))**(-29\/3) assuming p is positive.\nAnswer: p**(24302\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 0.3, 1280\/103, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 3*d**2 - 3*d. Let f be w(-2). Let j(m) = 4*m**2 + 2*m - 2. List the prime factors of j(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11503 is divided by 287?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1999 - 0.2999. Is -0.271 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(252))**2 - sqrt(252).\nAnswer: -6*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, o: 2, a: 2, b: 4, i: 2, d: 2}. What is prob of picking 1 o, 2 a, and 1 s?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*q + 0*q = 24, 5*c = -q + 38. Let g be (c + -7)*-9*1. Calculate the lowest common multiple of 8 and (-142)\/g - 2\/(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19698559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-990)\/(-891) + (-378340)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448\/2 - (9\/1 + -3) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5001.5 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 888 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12778, -17985, -32118, -59641, -105018, -172713, -267190?\n\"Answer: -744*v**3 + v**2 - 2*v - 12033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 0*l + 0*l + (2 - 6 + 0)*(-4*l + 5 - 5) + 178*l - 91*l - 88*l - 7 as i*l + s and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 30 = -5*d, -5*n + 3*d - 7*d = -26. Suppose -6 = 2*v, 0 = b + n*b - 5*v - 78. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. Suppose 5*t - o*t - 64 = -3*b, 49 = 3*b + 4*t. Suppose -2*f = -27*p + 30*p - 24, 0 = p + 5*f - 8. What is the remainder when b is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13, -1\/2, 0, -1\/6, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 4*z - 21*z - 79*z = 0. Sort 2, -149, z, 3, -3 in decreasing order.\nAnswer: 3, 2, z, -3, -149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 20136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v - 4*v - 3*v. Let j(o) be the first derivative of o**4\/12 + 4*o + 2. Let b(r) be the first derivative of j(r). Give n(b(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1088*o = 769*o - 4744 - 13826 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/8)*i*i\/i**(-2)*(i\/(((i**5*i)\/i)\/i))\/((i**5\/i)\/i))**25 assuming i is positive.\nAnswer: i**(-175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1185 + -1180. Calculate the remainder when 561 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -372*11.18\nAnswer: -4158.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69.8 - 70. What is the fourth biggest value in -5, w, 3\/8, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28160414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 480824\/72123 + -4\/72123. What is f in -4 + 28\/3*f - c*f**2 + 4\/3*f**3 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -28069 in increasing order.\nAnswer: -28069, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -12, -888, 0, -0.01, 0.2.\nAnswer: -888, -12, -2\/9, -0.01, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*(23240*b**2 - 596*b**3 - 23240*b**2) + 0*b**3 - 3*b**3 + 2*b**3 to the form o*b**2 + l + r*b + v*b**3 and give v.\nAnswer: -1193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 15, 5*k - b = -25 + 2. Is (k\/(2 + 0))\/((-4)\/102) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15360 + -6532?\nAnswer: -25222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*b - 25. Factor -1\/6*z + 0 - 5\/2*z**3 - 2\/3*z**b - 13\/6*z**4 - 7\/6*z**2.\nAnswer: -z*(z + 1)**3*(4*z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/102*(-7)\/(-2))\/(5\/(-45)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4709200 to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:51 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*sqrt(1573)*1)**2 + 1.\nAnswer: -110*sqrt(13) + 39327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 14. Let c = 32 - h. Solve -3*t + 2*t - 5*g = 11, 0 = 3*t - 2*g - c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6931\/6 + 1149. Suppose -8 - 12 = 4*a, a = -2*h - 21391. Let t = 128437\/12 + h. What is the common denominator of k and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 87596580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/2289 + 66370\/25179. Calculate the common denominator of n and -7\/37.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116.814 + -117. Let y = x - -4.186. What is the second smallest value in y, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - 13\/2. Let s = k + 9. Suppose f = -1 + 23. Solve 7 = -d + z, -5*d + s*z = -d + f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 951.82 plus 7.415?\nAnswer: 959.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17319934.9 take away 2?\nAnswer: 17319932.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/35)*q*q\/(q\/((q\/q**0)\/q)))**(-18) assuming q is positive.\nAnswer: q**(-594\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 226890?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8 + -1.4227?\nAnswer: -13.2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281\/4 or -69?\nAnswer: -281\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56980000 rounded to the nearest one hundred thousand?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1362*l. Let i(p) = -3*p**2. What is i(x(d))?\nAnswer: -5565132*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o + 5*x - 44, 0 = -3*o + 4*x + 8. Calculate the smallest common multiple of o and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 0 - (sqrt(7) + 1*1*sqrt(7)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.545029 milligrams to micrograms.\nAnswer: 3545.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.1616.\nAnswer: 0.06464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.0079.\nAnswer: -0.0395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12*-741\nAnswer: -8892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**3*t**3 + r**3 - r*t**3 - 80*t**3 - 3*t**2 with respect to r.\nAnswer: -3*r**2*t**3 + 3*r**2 - t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -221*j + 17. Let d be m(3). Let t = d - -647. Let p(x) = 5*x. Let k(i) be the first derivative of -i**2\/2 + 1. Give t*p(z) + 6*k(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75339 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1. Let h(q) = -2*q + 1. Give h(c) + 5*y(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 84 = -24*w, 156*w - 78*w - 36 = 76*w - 5*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 5, n: 9}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 108761484?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9d575 (base 16) to base 11\nAnswer: -400221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2765*n. Let d(x) = 2*x**2. What is d(p(s))?\nAnswer: 15290450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9871, 19423, 28975, 38527, 48079, 57631?\nAnswer: 67183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 264907 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 743104 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 4. Let t be k(-3). Suppose 3*d - 5 = 2*c - c, 4*c + d = -t. Is ((-181)\/c)\/(4\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130.5 + -106.5. Which is the smallest value? (a) -1 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-5)\/(-4) - (-18860)\/80. Suppose 233*u + 12 = l*u. Solve -f + 3*f - 4 = 2*b, 0 = -3*b + 4*f - u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 22 = 32*u. Let s(z) be the first derivative of 0*z**3 + 0*z**4 + u - 5*z - 6\/5*z**5 + 0*z**2. Differentiate s(r) wrt r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -5442971?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 272 and 20.\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -585*m - 17. Let f(p) = 1169*p + 42. Determine -5*a(d) - 2*f(d).\nAnswer: 587*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105943774?\nAnswer: 2, 881, 60127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/(-18) - 2\/(-9). Suppose -2*f - 14 = -d*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 3:26 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 + 178. Put f, 0, 3\/4 in increasing order.\nAnswer: f, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185060005 take away 38.411?\nAnswer: 185059966.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*d - 42, -52*j + 27*j + 40 = -22*j + 2*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let b be j(-1). Let y = -72 + 323. Let i = -4013\/16 + y. Do i and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 12:20 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -127.247916 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/11 (b) -8 (c) 0.3628\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) + 44\/10. Suppose -49 = 3*s - c*s. Let g = s + -195\/4. Which is smaller: -4 or g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 1) + (1204 - 1193)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -38 + 338. Is 14 a factor of j\/2*(-189)\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 26*h**2 + 22*h + 39. What is the units digit of s(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**7\/1050 + b**6\/120 + b**5\/30 - b**4\/6 - 4*b**3\/5 + 331*b**2. Find p, given that q(p) = 0.\nAnswer: -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 and 5\/1399.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 3*k**2 + k**2)*(k - k**2 - k) + (0*k**3 + 0*k**3 - 2*k**3)*(-3*k + 2*k + 3*k) - 4*k**4 + 0*k**4 + k**4.\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 56*i**2 + 2*i + 81. Let p(z) = -222*z**2 - 9*z - 323. Let s(u) = -2*p(u) - 9*x(u). Differentiate s(h) wrt h.\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 208\/9312*((-424)\/(-104) + -4)*12.\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 0 - (-5 - -144). Let q = 1 - 5. Is ((-8)\/(-5))\/q + f\/(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 866621 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2855054, -2855065, -2855076, -2855087, -2855098?\n\"Answer: -11*q - 2855043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -7115 = -7112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25*(24*(-7)\/(-784) - (-111)\/70)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890752452?\nAnswer: 2, 472688113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38876396*f**2 + 77*f - 15506 wrt f?\nAnswer: -77752792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 60*c**2 + 59*c**2 - 78*c**2 as n + a*c + g*c**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 319 or 1\/39?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0126676 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 5, 2.\nAnswer: -4, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(3 - n - 3) + 3*n - n + 0*n - 1 + 1 - 2*n - 2*n + 6*n + n + (-1 + 0 + 2)*(2*n + 4*n - 5*n).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 333260 to the nearest one thousand.\nAnswer: 333000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 3*j**5 + (-3 + 10 + 2)*(-3*j**5 + j**5 + 0*j**5).\nAnswer: -21*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 908, 1826, 2744?\n\"Answer: 918*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 47 = 25*l - 24*l, 0 = -2*l - 2*f + 102. Solve 2*w + 61 = l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.7. Let k be 6\/33 + (-9)\/(-11). Let h be ((k - -1)\/(-2))\/1. What is the nearest to h in j, 4, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85410283.94 to the nearest one thousand.\nAnswer: -85410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c - 10. What is the remainder when g(-6) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -21 (c) 0.3 (d) 1\/10 (e) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 20*l - 495. What is the remainder when -1 + 86 + (-4)\/(-2) is divided by q(-15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4001504 (base 6) to base 2.\nAnswer: 101101101010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*n**2 + 37*n + 154*n**2 + 2 - 2 as r*n + j*n**2 + y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166.42 - -165. Let c = 1.558 + u. Let i = -0.12 + c. Round i to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/3 + 16*a**2\/3 + 4*a.\nAnswer: 4*a*(a + 1)*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)\/i)\/i**(2\/23))\/(i**(-1\/13)\/i**0) assuming i is positive.\nAnswer: i**(-2108\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-78 - 62 + 209)*(-23 + 14 + 2*k + 30) as a + t*k and give t.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6417, -6396, -6375, -6354, -6333, -6312?\nAnswer: -6291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204.93 + 15. Let z = m + -220. Let k = -1\/52 + -77\/52. Sort z, 2\/5, 0.1, k in increasing order.\nAnswer: k, z, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_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: Let r(y) be the second derivative of -y**4\/6 - y. Let v(k) be the first derivative of -7\/2*k**2 + 40 - k. Calculate r(v(m)).\nAnswer: -98*m**2 - 28*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by (44\/20)\/(3 + 42\/(-15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 19*h - 226. Let q be a(10). What is the common denominator of 2\/6 - (-208)\/q and -49\/41?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4*(-1*sqrt(288) + 3)*2)**2 + 2 + -5) + -3.\nAnswer: -27648*sqrt(2) + 114027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 27. Let a be (-134)\/6 + k\/9. What is a rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -934020 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 71295.\nAnswer: 71295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 8386776*a**2\/5 - 17584511305317*a\/5 - 35168989063538\/5.\nAnswer: -(a + 2)*(a + 4193387)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25835547 to the power of 1\/2, to the nearest integer?\nAnswer: 5083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7211508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 6) to base 10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 38. Let d(t) be the second derivative of 0*t**w - 1\/10*t**6 + 1\/2*t**3 - 2*t + 0*t**4 + 0*t**5 + 0. Find the second derivative of d(b) wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*m + 47, -3*m - 11 + 29 = g. Let t be (-2)\/6 - 1\/g. Let u = 0.949 - -0.051. Which is the closest to -0.1? (a) -4 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 14) in base 12?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 4. Let d be p(2). Suppose 3*j + t + 3 = 5, j + 4*t - 19 = 0. Is j at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.926 + -10.926. What is the biggest value in 0.5, q, 1090?\nAnswer: 1090","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534797, -534856, -534923, -535010, -535129?\nAnswer: -535292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + g - 389 = 0, -3*g = -5*r + 424 + 521. Suppose 0 = -37*f + 43*f - r. Calculate the remainder when f is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448767318553 less than 0.5?\nAnswer: -448767318552.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(9660\/240))\/(1\/14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 1330155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**2 - 11*u + 17. Let r(d) = d**2 + 3 + 9 + 8 + 2*d - 23. Determine 6*j(w) + 34*r(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33 (b) 1 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*t - 230, 9*t = 14*t + 3*c - 338. Solve 0 = -9*o - 5*o + t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5888*d + 349. Is a(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72796.6 centuries?\nAnswer: 87355920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -398, 47, -6 in increasing order.\nAnswer: -398, -6, 16, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 637956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - (-3765)\/35) + -38 - 37.\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 15. Let w be ((-24)\/(-14))\/1 - 2. What is the smallest value in k, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546126 - 546126 - 86*u**3.\nAnswer: -86*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = -m + 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 536 + -536. Let n(h) be the second derivative of 0*h**2 - 19*h + 1\/150*h**6 - 1\/15*h**3 - 1\/60*h**4 + x + 1\/50*h**5. Solve n(u) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/16 and 111\/8360.\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, b: 8, n: 2}. Give prob of picking 2 b and 2 n.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4670a2d - 0?\nAnswer: 4670a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1650)\/45 + (20*(-4)\/50)\/((-6)\/(-5)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3203 (base 14) in base 13?\nAnswer: -3c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjeejeeeeejejej. Give prob of sequence jj.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20089*k = -8*o - 20084*k - 35, o - 21 = -3*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 12*i**2 + 20*i. Let y be o(10). Let z be 34\/(-120) - (-3)\/15. Which is smaller: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -57, -141, -269, -447, -681, -977, -1341?\nAnswer: -1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)*(-1)\/((-2)\/4). Suppose -9*f - 52 = t*f. Let n(g) = g**3 + 6*g**2 + g - 4. Calculate the smallest common multiple of 10 and n(f).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-21))\/(((-8)\/3)\/(-4))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -11.2447, -4\/221?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 + 10*y**2 - 32 + 31 + 15*y**2.\nAnswer: 17*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10802*d - 32742*d + 10874*d + 10874*d.\nAnswer: -192*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*h + 23, -3*u = -2*h - 4*u + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*y + 127207 = -382913. Calculate the smallest common multiple of y and 63.\nAnswer: 13734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171531954199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 4*o, 26*z - 8 = 29*z + 4*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 5622800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 53 + 73 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + t - 2*t + 0*t)*(-1 + 5 - 3)*(-2 + 9 + 16).\nAnswer: -23*t - 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 = 7*w - 9*w, -3*r + 1 = 5*w. Which is the nearest to w? (a) -71.4 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(2\/23))\/((d\/(d**(-11)*d))\/d))\/((d*d\/((d*d\/(d**(-10)\/d)*d)\/d))\/d**(3\/2)) assuming d is positive.\nAnswer: d**(211\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.4. Let m = -2.57 - 0.28. Let l = 13.15 - m. Which is bigger: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 621.24 + 6681.5\nAnswer: 7302.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22831 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p**2. Let h(b) = -30*b. Let q(u) = 2*u. Let j(w) = -2*h(w) - 20*q(w). What is f(j(n))?\nAnswer: 5600*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-1 + sqrt(98))*5 - sqrt(98)) + (2*sqrt(98) - sqrt(98) - sqrt(98))*-3 + sqrt(98))**2.\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from pcchwchpcphhpw.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38155704 divided by -4.\nAnswer: -9538926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4120 + 1395 = 30*f - 1985. Let d = 130 - 67. What is the remainder when f is divided by d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:17 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18792)\/(-396) - (-1)\/(33\/18). What is the highest common divisor of j and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9964\/122305 + 1\/2005. Which is bigger: 0.01 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5 = 27. Let a be (36\/48)\/(2\/h). Let g = 37 + -27. Solve -a*l + 4*r = 8, -2*l + r = 3*r + g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -17 - -1 - (-8 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, u: 3}. What is prob of picking 2 a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from crrprcphrhccpcp.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 22*r**2 - 36*r - 26. Let y be n(9). What is the highest common factor of 152 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.91, 2\/13, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(63))**2*-1.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 - 4*l - 3. Give u(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:11 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10}. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 159081 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f + f**4 - 5*f + (1 - 3 - 4)*(8*f**3 + 3*f**3 + 11*f**3)*((1 + 3 - 2)*(-f + f + 2*f) + f + 2*f - f - 5 + 2*f + 5 + 0*f + 4*f - 2*f).\nAnswer: -1319*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 103*n**5\/30 + n**4\/8 + 5*n**3 + 2. Let j(z) be the third derivative of l(z). Is j(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -15.99991. Round t to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let z(r) = -3*r. Let m be 4\/2 + -3 + (-2 - -5). Determine m*z(s) + 5*a(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 359333\/22 + -16337. Let u = -12\/8903 + -699113\/3133856. Find the common denominator of u and g.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9919 - 58?\nAnswer: -9977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/(135\/(-810)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102866276, 102866259, 102866242, 102866225?\nAnswer: 102866208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1054 and -73\/10827215.\nAnswer: 21654430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-38 - 1) + -6)*(-8)\/10. Suppose -14 + 14 = -r*y. Which is smaller: -1\/488 or y?\nAnswer: -1\/488","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -18675*y**2 - 3*y. Let l(o) = 189*o. What is f(l(a))?\nAnswer: -667089675*a**2 - 567*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562403 is divided by 1680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/249 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7839*h = 7841*h + 2680. Which is bigger: -1339 or h?\nAnswer: -1339","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 1 + 1)*(-1 - 10 + 12).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**5\/240 - l**4\/24 - l**3\/8 - 12*l**2. Factor h(z).\nAnswer: -(z + 1)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63 - 26?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 + 5*s**2 + 4*s + 6. Let h(i) = -i - 8*i**3 + 2*i**2 - i**2 + 9*i**3 + 2*i + 1. What is 5*h(x) - q(x)?\nAnswer: 2*x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 99*k + 593. Give w(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14041)\/(-114) + 1\/(-6). Let r = 198 - w. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*p = -8, y - 4*p + 145 - 137 = 0. Solve y = 5*t - 9*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*1*(sqrt(5184) + sqrt(5184)*-1))\/(sqrt(300)*-2*-1 + 4*2*sqrt(300)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(-2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -4) + -3 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15175749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2122303101 + -1?\nAnswer: 2122303100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8022745 or -64181955\/8?\nAnswer: -8022745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 2*m + 4 - 3. Let g be h(-1). Let a = -29 + 51. Solve -2*k = -6, g*o + a = -5*o - k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2201096 is divided by 2385.\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {d: 1, q: 1, k: 2, w: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 639 = -3*f, -5*f - 7*k = -8*k - 1095. Suppose 5*u + f = 878. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8281418.566 rounded to the nearest 100?\nAnswer: -8281400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x - x)*(1 - 5 + 3)*(-4*x + x + x + (-x + 4*x - 2*x)*(-3 + 4 + 0)) - 34 - 23*x**2 + 34.\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 0 - (-87 - -81)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -7*v + 10*v, -2*v + 33 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -r + 28. Let c be (1 + 2 - 2)*2. What is the smallest common multiple of r and 72\/(-6)*(-1)\/c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**7\/30 + 3*v**6\/40 - v**5\/12 - 3*v**4\/8 - v**3\/3 - v**2\/2 + 1. Let t(h) be the second derivative of u(h). Solve t(w) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400001933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a**2 + 7*a - 4. Suppose -47 = p + 2*h, -2*p - 3*h - 93 = 2. Let o be 37\/(-7) - 14\/p. Let j(u) = 4*u**2 - 3*u + 2. Determine o*j(s) - 2*x(s).\nAnswer: -2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 26. Let g = c + 21. Calculate the remainder when 17 is divided by (-3)\/((-3)\/g*1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, v: 2, g: 2, e: 6, h: 6}. Give prob of sequence vb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1275 > -54810\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 11*d - 15. Let r(n) = -n - 20. Let c be r(-6). Let i be l(c). Calculate the highest common factor of 135 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 8 + 0*x**2 + 11*x - 2*x**2. Let b = -536 - -543. Let q be y(b). What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543735859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**5\/2 - 1797*g**4 + 716553*g**3 - 95542692*g**2 + 377885811*g\/2 - 94114971 = 0.\nAnswer: 1, 354, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2. Let t be (-1)\/(-1 - (-18)\/20). Let p = t - 7. Let u(v) = -v**2 + v + p*v - 4*v. Determine u(n(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7014.\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(10)\/sqrt(2)) + (2*sqrt(180) + sqrt(180))\/sqrt(6))\/((-5*(sqrt(30)*-1 - sqrt(30)) - sqrt(30) - sqrt(30) - sqrt(30))\/sqrt(3)).\nAnswer: 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -4. Let s(o) = o + 12. Let w be s(-11). Let d = 7 - 10. What is the nearest to 0.1 in w, t, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34448 is divided by 16949.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**12\/x**(-1)*x\/(x\/(x\/((x**6*x*x*x)\/x*x)))*x*x**(-3\/2) assuming x is positive.\nAnswer: x**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10111 (base 2) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -38. Sort k, -5, -2 in decreasing order.\nAnswer: -2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -2, 75 in decreasing order.\nAnswer: 93, 75, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -163 (c) -10556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53, -109, -165, -221?\n\"Answer: -56*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a microgram in nanograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 4*y**2 + 11*y - 5. Calculate w(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 5, 4, 0, -5, 2 in decreasing order.\nAnswer: 7, 5, 4, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0 (c) 54 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.7 + 23.7. Let n = -1330\/9 + 148. What is the fourth smallest value in 3, 0.1, t, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23462.\nAnswer: 2, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a0927a - -35?\nAnswer: 1a092b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -21. Suppose -8 = 2*p - f. Let l = -91 - -93. Solve 5*m + 20 = l*k, -5*k + 3*m - 19 = -p*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + 2*n)*(9 + 2 + 3) + 2 + n - 2.\nAnswer: 29*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3395*n**2 + 12*n - 6. Let b(l) = -156175*l**2 + 550*l - 275. Determine -6*b(f) + 275*d(f).\nAnswer: 3425*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 2*o - 30. Let h = -77 + 306. Suppose -h = -o*q + 38. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 106. Suppose -5*u = f*l - 353, 5*u - 63 = 4*u + 3*l. Let b = -70 + u. Let v(r) = 7*r**3 - 2*r**2 - r. Give v(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8916 times -0.2?\nAnswer: -1.17832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130215, -260429, -390643, -520857?\nAnswer: -651071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1149 or 9195\/8?\nAnswer: 9195\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/3 - (-68)\/(-20). Let k = 0.15 - 0.05. What is the nearest to 0.1 in -7, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-12) + 1\/(-3) - 0. Let m(z) be the first derivative of -4\/5*z**2 + 8\/5*z + 7 + 2\/15*z**n. Let m(r) = 0. What is r?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 y, and 1 l when three letters picked without replacement from {q: 1, l: 2, p: 1, y: 1, d: 3, v: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - d = -7, -3*m - d - 3*d = -2. Suppose 8 = -m*b + 2*t, 5*b = 4*t - 8 - 15. Let l be (-1 - b\/2)*2. Put -0.3, l, -4 in decreasing order.\nAnswer: l, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(15\/(-20)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -9. Let d = -18 + a. What is the remainder when 4 is divided by (-34)\/d + (-2)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159204009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1096\/112 - 10)\/(-16 - (2295\/(-119) + -7)).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:30 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + -2 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301.31 - 1259.1.\nAnswer: -957.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115518 by -5.\nAnswer: -115518\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*q + 63, -4*w - 2*q - 2*q = 116. Let y = w + 33. What is the remainder when 19 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -2*x. Suppose 9*o = -11*o + 120. What are the prime factors of 52 - 3*x\/o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.4, -11, 1?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - ((-5 - 12) + -9) - (44 - -5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7553105699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2850\/6840)\/((-400)\/288).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 31 + 88)*(-16*w**5 - 19*w**5 - 4*w**5).\nAnswer: -3744*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17827, -35846, -54043, -72412, -90947?\n\"Answer: y**3 - 95*y**2 - 17741*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*g**2*w**3 + 565540*g**2*w**2 - 303526*g**2 + 17*g wrt w.\nAnswer: 45*g**2*w**2 + 1131080*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -30, -5, 10, -3, -17, 8 in ascending order.\nAnswer: -30, -17, -5, -3, 1, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.8 - 4. Which is the third biggest value? (a) 5 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58233 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 136975 rounded to the nearest 1000?\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = z - 5*r + 279, 0*z - 5*r - 20178 + 20478 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 10:59 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9899 (base 12) to base 4.\nAnswer: 10012311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14839 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(3436\/1148 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.5388618 milliseconds?\nAnswer: 0.00000898103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w**4 + 3*w**3 - 3*w. Let s(k) = 10*k**4 - 2*k**3 + 2*k + 1. Let v(g) = -3*s(g) - 2*u(g). Find the first derivative of v(c) wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -583*u**2. Let w(i) = 1018*i. Give z(w(n)).\nAnswer: -604176892*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -75893 at least as big as -75893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**10)\/(a*a**(-4\/19)\/a*a) assuming a is positive.\nAnswer: a**(-186\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054078158 rounded to 5 dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 7. Suppose -9*b + 37 = 73. Give d(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 98 (c) -3\/2 (d) -1 (e) -2 (f) 478\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.83372km?\nAnswer: 8833.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from eesyoseoboot.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 58*x + 1. Let f(u) = 57*u. Determine 5*f(i) - 4*n(i).\nAnswer: 53*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 5255\/(-20) + -3. Let z = -2081\/8 - k. Find the common denominator of -111\/14 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -10*g**3 + 1164*g**2 - 464*g = 0.\nAnswer: 0, 2\/5, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 47. Let v be j(10). Suppose -34*c - 690 = -v*c. Find the common denominator of c\/32 - (8 + -4) and 44\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1062? (a) 9 (b) -0.02 (c) -2\/9 (d) 2\/5 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 28*j + 14. Let c(i) = -7*i**2 - 167*i - 84. Let q(o) = 4*c(o) + 25*t(o). What is q(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059 is divided by 2049.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 431553855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26892271607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -120763776\nAnswer: 1\/17251968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 0*b**2 + 26\/3*b**3 + 0*b + 25. Let t(a) = a**2. Give k(t(g)).\nAnswer: 26*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2))\/(1 - 2). Suppose -3*h + h + 4 = 0. Suppose -2*n - h*n + 16 = t. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349164 is divided by 86904.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28403122 or 198821851\/7?\nAnswer: 28403122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 529969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (55\/(-9) + (-18)\/(-3726)*23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 3. Let q(k) = -k + 4. Let w(g) = -4*n(g) + 3*q(g). Let t(j) = -4*j**2 - 1. Determine t(w(v)).\nAnswer: -4*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -47\/5 (b) 1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -153355.\nAnswer: -1\/30671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 17*d + 55. Let c(y) = -3*y**2 + 2*y - 2. Let z be c(0). Let o be g(z). What is the greatest common factor of o and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/290 and 17\/435.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 2, u: 2, f: 2, y: 1, p: 2}. What is prob of sequence xpf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 2*t - 152\/33*t**3 - 1\/11*t**5 + 2 - 79\/66*t**4 + 16\/11*t**2. Let u(d) = 0. What is d?\nAnswer: -4, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21334 (base 8) to base 15.\nAnswer: -299e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2837*g - 114 = -2856*g. Solve 4*f = o + g*f - 3, 5*f = -2*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 172. What is the least common multiple of h and 668?\nAnswer: 39412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-317 - -3 - 2)*1\/(-2). Let s = l + 137. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3282, 3280, 3278, 3276?\n\"Answer: -2*n + 3284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t**5 - 584*t**4 + 7206*t**3 - 6404*t**2 - 7992*t + 6160 = 0 for t.\nAnswer: -22, -1, 2\/3, 10\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-3 - (14 + 1))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4778.02 - 4778. Is -69 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 813910067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-15))\/((-12)\/300)*(-2)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.627 + -6.17. Let f = -0.257 + v. Which is the nearest to 2\/3? (a) -0.09 (b) f (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-2))\/4 + -23. Let q = 10 - r. What is the greatest common divisor of q and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/41 in 39, 1.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299448067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48701 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = 0. What is the closest to g in 4, 1\/2, 0.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 18. Let w be f(-8). Let t = 11 - w. Let h = 7 - t. Solve 0 = -4*y + 2 + h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 50859405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 7)*(2 - 3 + 3 + f**2).\nAnswer: 3*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 12) in base 4?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*v - 1 = -3*v, 3*v + 3 = 0. Let y(n) = -2*n**2. Let q be y(t). Solve q*r = -7*r - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**5 - 8*u**2 - 8648*u + 1?\nAnswer: -80*u**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/10)\/((1386\/(-27160))\/33). Calculate the highest common divisor of c and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3419 - -3425) + 19 + (-2 - -2) - (-3 + 13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12 + 8\/((-288)\/(-10))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -356*d + 90*d**2 + 200 + 2*d**3 + 96*d + d**3 - 5*d**4 + 6*d**3 - 4*d**3.\nAnswer: -5*(d - 2)**3*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 10:44 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ititxssx. Give prob of picking 1 i, 1 s, and 2 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 3, 12, 17 in decreasing order.\nAnswer: 17, 12, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1701234008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2141*s + 2140*s = -2466. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 78 - -2f?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, 10, 28, 64, 124, 214, 340?\n\"Answer: l**3 - l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 1 + 2)*(-1 - 3 + 6) - 2 + 5 - 1 - 2 + 0 - 2 - 1 + 3 - 1)*((-r - 2 + 2)*(2*r + 2*r - 2*r) + 17 + 17*r**2 - 17) to p*r + a + y*r**2 and give y.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 346 - -2351?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 536952 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x - 124. Give a(27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 16}. What is prob of sequence yccc?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9861152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 525 = -2*a, -3*f - 5*a = -0*f - 315. Suppose -3*u + u = 38. Let s = u - -34. Calculate the greatest common factor of s and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 6*m - 2. Let x = -36 - -42. Determine o(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*s**2 + 128*s**2 - 70 - 63*s**2 + 403.\nAnswer: s**2 + 333","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(30\/8*1602\/(-445))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*p + 1659*p**2 - 1651*p**2 + 830*p to g*p**2 + z*p + d and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) - (-115)\/3. Suppose -279 + 260 = -h. Calculate the greatest common divisor of x and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjvjmrrvffvmjvjrjfvr. What is prob of sequence fgrv?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-50)\/(-210)*-7)\/(1\/(-3)). Solve 0 = -3*n - p + 11, -5*p = s*n + 3 - 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1092143961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 18879126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 29 + -16 + (59 - 65).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 5112 = -3*h. Suppose p - 1381 = h. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 73*f**2 - 472*f + 669. Determine m(66).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 69*p**3 - 4*p**2 + 31*p**3.\nAnswer: -38*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*o + 787 - 1933 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 373, -13, 70, -1 in descending order.\nAnswer: 373, 70, 3, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 + 81*x**2 - 45*x - 168. Calculate i(-41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20605813?\nAnswer: 20605813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*r - 18. Suppose -4*i = -r*i + 20. Solve q + 6 = -i*g, -3*q + 2 = 2*g - 0*q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 7713.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 83 - 6*g + 86 - 254 + 87. Give y(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 600, 2378, 5342, 9492?\n\"Answer: 593*q**2 - q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 18*x**2 + 15*x - 36. Let v be i(-17). Let r be 0 + (0 - (-12)\/(-8)). Which is the smallest value? (a) -4 (b) -5 (c) v (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -t - 2*t + 45, 51 = 2*w + 5*t. Suppose 0 = b + h - 5*h, -4*b + w = 2*h. Solve -27*x**b + 21*x**4 + 10*x**3 - 2*x + 0*x**3 - 2*x**2 = 0 for x.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+8119\nAnswer: 8119.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110011110101101011 (base 2) to base 5.\nAnswer: 110140400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1432, 11639, 39344, 93295, 182240, 314927, 500104, 746519?\n\"Answer: 1458*p**3 + p**2 - 2*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4539 - 4534. Which is the closest to l? (a) 21 (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -86*z**3 + 125*z**2 + 103. Find the second derivative of d(u) wrt u.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 33. Let q(r) = r. Let i(f) = 10 + 11 - 12 - f**2 + 11*f. Let n(c) = -i(c) + 2*q(c). Determine n(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183341\/4 + -46327. Let j = k - -13683\/28. Calculate the common denominator of j and 133\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1855731?\nAnswer: 1\/618577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539242 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 204. Let v = c + 57. Let h = 758 + v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3899 divide 653062711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1454588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -197*j - 1793. What is s(-12)?\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 10, y: 9}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/7 + (-47)\/(-7). Suppose b = -m - d, 0 = 2*b + 5*m + 13 + 13. Let i(h) = 2*h**2 + 3*h + 3. List the prime factors of i(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1163 - -1160. Which is the nearest to -0.3? (a) -1 (b) 0.042 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12 and -3\/4156.\nAnswer: 12468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(280)*6 + sqrt(280) + sqrt(280))\/(sqrt(250)*4 + sqrt(250)).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 68*n + 13. Let u(d) = -33*d - 6. Calculate 4*k(f) + 9*u(f).\nAnswer: -25*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 4, -3, -18, -1.5 in decreasing order.\nAnswer: 4, -1\/2, -1.5, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4978 + 0.0022. Which is the smallest value? (a) 0 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -8)\/(2 + (0 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2065595.\nAnswer: -3\/2065595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 580\/464 + 143\/28 and -10\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((5 - -1) + -3). Suppose -24 + l = -3*k. Let s(m) = -m**2 + 7*m - 3. What is s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 231\/(-99)*2\/(-14). Which is the nearest to w? (a) 13 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = -232 - 19 - 149. Solve t = -4*k - z, -1 = 7*t - 9*t + 3*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 19465\/7, -1, 2 in increasing order.\nAnswer: -1, 2, 19465\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + (-324)\/(-63))\/((-3)\/7). Let p = 500\/2169 - 2\/241. Is p bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95470, 99510, 103548, 107584, 111618, 115650, 119680?\nAnswer: 123708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*k - 11 = 2*z, -4*z + 13 = -3*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44829, 44072, 42787, 40974, 38633, 35764?\n\"Answer: -264*p**2 + 35*p + 45058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179210 greater than 537626\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, r: 2, f: 1, i: 2, w: 1, b: 5}. Give prob of picking 1 w, 1 b, and 2 r.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-18)\/q**(2\/33)*(q**(-23)\/q*q)\/((q*(q\/(q*(q*(q*q**(-5)*q)\/q)\/q))\/q)\/q) assuming q is positive.\nAnswer: q**(-1454\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780871?\nAnswer: 179, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/11 + 179*f\/11.\nAnswer: f*(f + 179)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -13*p**4\/2 + 149*p**3\/3 - 193. What is the third derivative of u(m) wrt m?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyzzzyz. Give prob of sequence zz.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 2039*k - 2043*k + 24, 0*k + 10 = -2*k for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - i**2 - 1. Let d(s) = -3*s**3 + s**2 - 269. Calculate -d(n) + 2*w(n).\nAnswer: n**3 - 3*n**2 + 267","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 401698.9 milligrams?\nAnswer: 0.4016989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 294*w**4 - 12278*w**3 + 747793*w**2\/6 + 222758*w\/3 + 32258\/3.\nAnswer: (6*w - 127)**2*(7*w + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -643605\/34 or -18929?\nAnswer: -18929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 17*o**2 - 6*o - 12. Let d(q) = -16*q**2 + 5*q + 10. Let s(x) = -6*d(x) - 5*k(x). Let v(l) = 2*l**2 + 1 + 2*l**2 - 1. What is s(v(b))?\nAnswer: 176*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -54 + 79 - 38 - r**2 + 13*r. Determine x(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2017390 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 1344987.2 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/43620 and -103\/95971270?\nAnswer: 575827620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1 + (4 + 0 - 2)*(0 - 1 + 2) + 0 + 3 - 2)*(120*a + 295 - 295).\nAnswer: 120*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30886787203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + w**2 - 27*w + 419200. Let b be z(0). Round b to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 1. Let q(j) = j - 6. Let v be q(z). What is the second derivative of h**2 + 9*h**2 - 4*h - 5*h**v wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -10*c**2 + 34*c + 219. Let n(q) = q**2 + q - 5. Let d(o) = 44*n(o) + 4*x(o). Factor d(a).\nAnswer: 4*(a + 4)*(a + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2.624, 2\/11 in descending order.\nAnswer: 2\/11, -2.624, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (372\/(-9))\/(8\/(-96)) is divided by 162.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(49)\/(sqrt(35)\/sqrt(5)))*-2.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**4\/8 + 2*g**3\/3 - 2*g**2. Let n be u(3). Suppose 0*c + 78 = 3*c. What is the highest common divisor of n and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)*-5)\/(sqrt(343)*-3).\nAnswer: 20*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 354.5 + -351.098. Let n = d + 0.598. What is the smallest value in 0.5, -4, 0, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771833.\nAnswer: 3, 7, 139, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**2 + 4*h**2 + 5*h**2 - 6*h**2.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47973846247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 2537015?\nAnswer: 2537017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Is 18 - (-2 + a + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/7*(-161)\/46.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1944 and 9?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.94209427 rounded to three dps?\nAnswer: -6.942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8265 times 4?\nAnswer: -33060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6690 = -39*l + 6651. Sort 3, 2, 27, l, -5 in ascending order.\nAnswer: -5, l, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 - (-9 - (-11 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3400765539.\nAnswer: 3, 157, 317, 22777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -39. Let a = 0.04 + 5.96. Let z = a - 2. What is the third biggest value in t, z, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54950.\nAnswer: 2, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*t - 72. Suppose -4*y + 8*y = 5*x + t, -4*x - 21 = -5*y. Solve 3*d - 2*d = y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7596433.\nAnswer: 13, 17, 37, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 29, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 greater than -1.98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/12 - 11*m**3\/6 + 4*m**2 + 28*m. Let s be f(-12). Which is bigger: 6 or s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 3*p**2 + 9*p + 7\/6*p**3 + 0. Let w(j) = -6*j**2. Let v be w(1). Let u(c) = -13*c - 11. What is v*u(d) - 11*i(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.58 and 12794.833415.\nAnswer: 12798.413415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -26. Suppose -c + 21 = -u. Does 29 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5}. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 2*u**2 - 2*u - 1. Is 12 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 1, 2 in ascending order.\nAnswer: -3, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 207757413 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g = -53*g - 40. Let t(p) = -p**2 + 5*p - 3. Let s be t(3). Put g, 4, s in ascending order.\nAnswer: s, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9*3\/(-4)*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5223 or -69197\/8?\nAnswer: -2\/5223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 33 - 95 = 0. Let x = g - -68. Calculate the smallest common multiple of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*u - 53*u**3 + 27*u + 21*u.\nAnswer: -53*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 401950 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31503261 - 3?\nAnswer: 31503255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*16\/(-12). Suppose -r*d - 17 = -63. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -22*z**2 + 55714*z + 253700 = 0?\nAnswer: -50\/11, 2537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - l - 1. Let u(v) = -5*v**2 + 79*v - 719. Let y(p) = -3*c(p) - u(p). Factor y(o).\nAnswer: 2*(o - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31283*n**2 - 62578*n**2 + 31293*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 1\/6*g**4 - 1\/2*g**3 + 6*g + 3\/2*g**2 + 1\/20*g**5 + 0. Calculate b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 589211 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 54*f**3 - 47*f**3 - 2*f**2 - 7 - 2*f to the form w*f**2 + z*f**3 + d + o*f and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-18)*(-778)\/(-5057)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 1 (b) -0.2 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + ((-41279726)\/(-12) - (-5)\/(-30)). Suppose -3*f + 5*o = 2*f - b, 2*f - 1375995 = o. Round f to the nearest ten thousand.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.9 - -18. Let c = 0.5 - t. Let j = -0.6 - c. What is the nearest to j in 3, -2, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 51. Let f = -0.2 - -0.3. Let q be 2 + 1\/((-9)\/20). What is the closest to -1\/3 in q, f, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 28001.1?\nAnswer: -28001.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 7:57 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0.3, -92, 1, -3 in decreasing order.\nAnswer: 1, 0.3, -3, -39, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 582*r**3 - 1155*r**2 - 576*r.\nAnswer: -3*r*(r + 1)**2*(r + 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.4 + 17. Let d = 190\/123 - 719\/492. Which is the second smallest value? (a) d (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5\/5 - 3*s**4\/5 + 9*s**3\/5 + 3*s**2\/5 - 6*s\/5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0*t**3 + 0*t**4 - 11\/120*t**6 + 0*t + 10*t**2 + 0 - 11\/60*t**5. Find the third derivative of c(u) wrt u.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 10*d**2 - 1. Let a be p(-10). Let n = 3 + a. Suppose -n*z + 3*k + 29 = 0, 5*z + 2*k = 3*k + 40. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 55*l**2 + 3*l - 4. Let a(d) = 109*d**2 + 5*d - 7. Let g(b) = 3*a(b) - 5*x(b). Let p = -752 + 770. Calculate the remainder when g(-1) is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(80) + (sqrt(80)*1 - sqrt(80)))\/sqrt(8))\/(sqrt(2) - (sqrt(200) - sqrt(200)*2)).\nAnswer: -5*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12406 is divided by 3098?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 34 = 6*z. Which is the closest to z? (a) -5 (b) -15 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - (2 + (-4 - 10)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.083349 * 0.3.\nAnswer: 0.0250047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3303 = 4*k, 5*k = -4*t + 4583 - 449. Let r be (-6)\/294*k\/24. Let a = 5\/12 + r. What is the closest to 2\/5 in 5, a, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 101?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - y - 24, 2773*y = 5*l + 2777*y + 38 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:19 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from {v: 3, x: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -5 - (-8 - -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103610, 103565, 103490, 103385?\n\"Answer: -15*f**2 + 103625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/70*21\/(-4))\/(-11 - 9\/(-18))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344663680?\nAnswer: 2, 3, 5, 83, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/((-32)\/(-60))*((-6981)\/(-13))\/3. What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 4*p - 1. Let k be -3*1 + -7 + 14. Let i(v) = -v**3 + 3*v**2 + 4*v - 4. Let z be i(k). Determine s(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 18*v + 59. Calculate g(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8603 is divided by 3782?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -153 and 422785.\nAnswer: 422632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-26)\/(n**(7\/9)\/n)*(n**(-20)\/n)\/n*n**0 assuming n is positive.\nAnswer: n**(-430\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 54*t + 599. Let u be n(-11). Let s = -2.1 - -2. Which is the smallest value? (a) s (b) 0.2 (c) 1 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 - (-27 - -14 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 2 (c) -59.8624 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 8*k**3 - 11*k**3.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 7*p**2 + 4*p + 7. Let x be b(-5). Suppose -5*o + 0*o = -3*v + x, 3*o - 30 = -4*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 69167473\nAnswer: -4\/69167473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ggggggggggiggiiiggg.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 73.2. Let r = b - -9.649. What is r rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.2, -5\/2, 0, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106462705 and 170340328?\nAnswer: 851701640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 13*t**2 + 0*t**3 + 14*t**2 to h*t**2 + p + v*t + s*t**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/(-47502)*-117 - (-3)\/(3\/(-4)).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 6*v + 6. Let n be x(6). Suppose -5*h = -n*h. Suppose -w - w - 620 = h. Round w to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1053 - 534. Calculate the remainder when f is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23522771\/6 or 3920463?\nAnswer: 23522771\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let p = -31.1 + 31.4. What is the biggest value in m, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/132 and 2275\/300 + (-1 + 10)\/(-3)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 244*z + 47 = -248*z - 65, 0 = 4*b - z + 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/2 + 26*h**2 - 621*h\/2 - 729 = 0. What is h?\nAnswer: -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 12*n**2 + 2*n - 9. Let o be j(12). Let l be (-5)\/25 + 48\/o. What is the smallest common multiple of (-4 + 2 + l)*3 - -189 and 6?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqye when four letters picked without replacement from qleyflll?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*k, -5*b + 1849 = 4*k - 3176. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276.1 - -282. What is g rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4 + -1 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 312.8556 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 2*c + 3. Let i be s(3). Suppose 3*b = b + 4*o + 28, i = -3*b - 2*o + 18. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 42*x**2 + 40*x - 17. Let m(d) = -d**3 + 41*d**2 + 39*d - 18. Let a(h) = 4*m(h) - 5*v(h). What is the units digit of a(47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145841034?\nAnswer: 2, 3, 24306839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 16 - 2*t - 3 - 11.\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.04, -36, 5, -21\/4.\nAnswer: -36, -21\/4, -0.04, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l + 14. Let b be f(4). Suppose 46 = b*q + 22. Put 54, -3, 1, q in descending order.\nAnswer: 54, q, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1264 + 1267. Which is the closest to s? (a) -0.4 (b) -2\/7 (c) 3 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44407, 88840, 133299, 177784, 222295, 266832?\n\"Answer: 13*c**2 + 44394*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381644 and 3212?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 15129459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 3. Let x be g(3). Let q be (x + -8)*(0 - 1). Let t = 7 + q. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, p: 7}. Give prob of sequence dp.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 221, 387, -11.\nAnswer: -11, 221, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.559 less than or equal to -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q\/(q\/(q\/(q**(5\/3)*q*q))))*q**(1\/5)*(q**(-7))**(1\/39) assuming q is positive.\nAnswer: q**(524\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-11) + 0 - (-4)\/(-22). Suppose 3*s - 4*o = 552, a*o + 0*o = 0. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*u, u + 2524 = 3*b + 2*u. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 3 - (14 + -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 756 - 100. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) -1\/5 (c) 4 (d) -2.88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57804086*t + 57629406 with respect to t.\nAnswer: 57804086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74477 and 968201.\nAnswer: 968201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 103196.178835\nAnswer: -103174.178835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1175957 and -10\/33069.\nAnswer: 532708521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 485024 > 484897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 202. What is the remainder when f is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/20)\/((-1)\/166). Let i = 126 - w. List the prime factors of i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 137*m**3*x**2 + 14*m**3 - 3*m**2*x**2 + 20*m**2 + 67*m*x + 2*m + 8169*x**2 - 6*x wrt x.\nAnswer: 274*m**3 - 6*m**2 + 16338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 29*a = 9, -3*z = -2*a - 24. Solve -w + 4*q + 1 = -8, -4*w + z = -3*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/3, -3, -3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18412 plus 1.52?\nAnswer: -18410.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.776\nAnswer: -0.1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*6)\/(6\/(-4)). Suppose -o = 3*o + 12, -s*b + 3*o = -57. What is the highest common divisor of 60 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(1573) + 5 + sqrt(1573) - (sqrt(1573) + -1)*5)**2.\nAnswer: -5148*sqrt(13) + 85956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w + 4*r - 12 = 0, 4*r = -w + 4. Suppose 3 = v - 4. Solve w*n - v = 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x - 34. Calculate the remainder when 112\/6*18\/8 is divided by b(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 3*t**2 + 2*t + 1. Let x(l) = -l**2 + 5*l + 1. Let k be x(4). Let j = k + -11. Is p(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -288460*w + 288469*w + 156, 0 = -4*w - 2*v - 76 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3571 (base 8) to base 15.\nAnswer: -878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3217394l in millilitres?\nAnswer: 321.7394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 281*b**6 + b**4 - 330*b**2.\nAnswer: 33720*b**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4 - 38*z**3 - 535*z**2 - 256*z + 2940 = 0 for z.\nAnswer: -10, -3, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2805 (base 11) to base 13.\nAnswer: -1868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j = -51*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zztzcztzaaczaccta?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + v + 7. Let z be 1 - (-4 - -3)\/(-1). Let m be a(z). Let b(w) = w - m*w + 0 - 1. What is b(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*6\/(84\/14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 4\/3*l**3 - 1\/3*l**6 + 0*l**2 + 4 + 0*l**4 + 0*l + 0*l**5. Find the third derivative of j(g) wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -1\/30*z**4 + 0 + 0*z**2 + 1\/15*z**3 + 9*z. Factor k(u).\nAnswer: -2*u*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19294 + 28886. Suppose -14*c = -m + 92136. List the prime factors of 4\/(-14) + c\/(-154).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:04 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 470411 + -4?\nAnswer: 470405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15361867*a**3*b*z**2 - a**3*b - 8*a**2*z**2 - 2*a*b + a*z - 34*b*z**2 - 6*b wrt a.\nAnswer: -92171202*b*z**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 12*q. Solve x + 2*x + 9 = q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*y + 7*y - 2005, -n - 2029 = -5*y. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 5, -1, -1749?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*d - 11 - 3, 4*d + 99 = -3*a. What is a rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(34)\/sqrt(2) - (3 + (sqrt(17) - -2*sqrt(17)))) + 0)*-1 + -5)**2.\nAnswer: 8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*q + 4, -o + 2 = -5*o - 2*q. Suppose -4*u + 22 = 2*t, -4*u + 21 = t - o*t. Suppose -28*j + 30*j - 14 = 0. Is u at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663 = 46*n - 479 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2671770 divided by -3071.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3526792?\nAnswer: 2, 440849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than 0.24278?\nAnswer: 7.24278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 + -0.66?\nAnswer: 643.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 78479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45007.77746 - -44970.23. Let i = 36.997 + g. Let o = 0.55 + i. Round o to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/112 and 83\/656.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128672, 128673, 128686, 128717, 128772, 128857?\nAnswer: 128978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112084867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -10*x**2\/9 + 42706*x\/9 + 5965724\/9 = 0.\nAnswer: -677\/5, 4406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8540 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 235 - 160. Let f = 33 + d. Suppose 13*g - 48 = f. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 20. Suppose 8 = -2*t - 4*v, -3*t - 13 = -5*t + 3*v. Suppose -2*b + i = -a + 2*a, 0 = -t*b + a + 12. Solve 5*y - 3*j = -b, -2*y - j + 5 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 > 26\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Let z be c(1). Is 1 + 2 + z + 675 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80) + 0)*-4 + (((-3*sqrt(350))\/sqrt(10))\/sqrt(7))**2 + -1.\nAnswer: -16*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) -0.01 (c) -185 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 5:31 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/3*(-12)\/(-32)*4. Let g be (-2445)\/(-90) - i\/(-12). Let j = 85 - g. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 - 3607963*n - 3607964 = 0 for n.\nAnswer: -1, 3607964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -5)\/(-3) - (34 + -38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110101010 + -11010000101?\nAnswer: -1100000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 169, -2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4654 + -3?\nAnswer: 4651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-495)\/(-30) - -5)\/70 and -81\/154?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**3 - s**2 + s + 1. Let m = 1 + -2. Let i be p(m). Solve -b + i = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, and 2 y when four letters picked without replacement from {u: 3, y: 3, s: 1, i: 5, z: 1, n: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1369*t + 216. List the prime factors of p(-9).\nAnswer: 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69710540 to the nearest integer?\nAnswer: 8349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2757*l + 78640 = -45425 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/308070 and -61\/22750?\nAnswer: 100122750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*w = -3*w + 420, 2*g - w + 208 = 0. Let i = -102 - g. Solve u + 14 = 3*a, 0*u - i = a + 4*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/25220 + 176207\/8398260. Do 0 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -91, -472, -1151, -2134, -3427, -5036, -6967, -9226?\n\"Answer: -a**3 - 143*a**2 + 55*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0456 - 1.1164. Let c = v - -0.052. Let y = c - -1.31. Are 0.4 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -12*j - 3. Let p(a) = -4*a**3 - 2*a + 0*a**3 + 5*a**2 + 2*a**3 - 3 + j*a**3. Give p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 840.407 millilitres?\nAnswer: 0.840407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8437842, -8437860, -8437876, -8437890, -8437902?\n\"Answer: c**2 - 21*c - 8437822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 10*d + 16. Suppose 0 = 4*o - 57 - 15. Let v be 94\/o + 6\/(-27). What is the tens digit of w(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -144*h**4 - 115*h**4 - 72*h**4 - 104*h**4 - 257 with respect to h.\nAnswer: -1740*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + j - 1. Let l be r(2). Let g = l - 1. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, v: 5, i: 4}. What is prob of picking 1 i and 1 a?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 292, 306, 324, 340, 348?\n\"Answer: -l**3 + 8*l**2 - 3*l + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/98845304 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.019396 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-5)\/(-120)*(-588)\/(-63)*(-253)\/(-154)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 - m**2 + 2*m - 1. Suppose 0 = 2*t - 2. Let a be s(t). What is the highest common divisor of 36 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4)*(-32)\/(-6). Let a(x) = x**2 - 9*x + 4. What is a(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -36*j - 6. Let r(n) = 35*n + 5. Suppose 85 = -2*t - 12*t + 1. Determine t*r(i) - 5*u(i).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 63\/105 - 2344\/(-10). Let v = n + -227. Solve -2*t + v + 2 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 17 - 5, -4*u + 36 = 2*y. What is the smallest common multiple of y and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-291218)\/(-261) - 2*(-1)\/9. Suppose 11*y + f = 20*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 2*b - 3*q = -32, 5*q - 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 37 + 7*i**2 - 19 + 2*i**2 - 3*i**2 - 39*i**3 to the form x*i**3 + j + o*i + w*i**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/28, -2, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77205 divided by 128.\nAnswer: 77205\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -54. Calculate the remainder when x is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.5, 997904, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 78393?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 2*s + 4*s - s + 11*s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 3) to base 4\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 + w**2 - 2*w + 2. Suppose 10*q = 1 + 9. What is the units digit of k(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t + t - 3*t)*(-3 + 3 + 4*t)*(0*t**2 + 2*t**2 + 0*t**2) to the form v*t + a + d*t**3 + o*t**4 + n*t**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00862303 rounded to 5 decimal places?\nAnswer: 0.00862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002331 (base 4) to base 15.\nAnswer: 140a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15)*2*(-40)\/96?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 14) in base 10?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*r - 36 = 0, r - 20 = 2*q - 5*q. What is the least common multiple of q and 601?\nAnswer: 4808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 124*b + 127*b = 39077, 4*q = -5*b + 31272. List the prime factors of q.\nAnswer: 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1260)*-3)\/(sqrt(60)\/(sqrt(12) - (sqrt(96)*-1)\/sqrt(8))).\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + a - 9876. Let d be o(0). Let i = 1669067\/169 + d. Let c = i + 3\/169. Is c smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - h**2 - h. Let z(g) = -g + 8. Let s be z(9). Let v be m(s). Solve 0 = -f - 5*n + 19, -2*f + v*n - 1 = -0*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4047, -678, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 20*m\/3 - 6.\nAnswer: -2*(m - 9)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-6)\/(-9) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2767*f**2 + 323*f - 11?\nAnswer: -5534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2568, -2586, -2606, -2628, -2652?\n\"Answer: -p**2 - 15*p - 2552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5067398 by 24.\nAnswer: -2533699\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 34*i**2 - 38*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29698034 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 12, 5*j - 24 = 141*l - 138*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 972055811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/26293 + -2602987\/262930. Let g = -3\/13 + -435\/143. Find the common denominator of g and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - j - 5722 = 0, -989 + 10499 = 5*i + 5*j. Let h = -1304 + i. What are the prime factors of h?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001.932 rounded to the nearest ten?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4152 times -0.07777?\nAnswer: -322.90104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1676153 + 1?\nAnswer: 1676154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 2*u = -18640. List the prime factors of u.\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**4 - 35*f + 35*f - 5*f**4 + 0*f**4 - f**4 + (7*f**2 + 4*f - 4*f)*(4 - 4 + 2*f**2) to c*f**4 + i*f**2 + o*f**3 + g*f + t and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.07 + 21. Which is the second smallest value? (a) d (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 215\/(-240)*8 - (0 - 8). Let c(k) be the third derivative of -4*k**2 + 5\/8*k**4 + p*k**3 + 1\/4*k**5 + 1\/24*k**6 + 0*k + 0. Let c(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3, w: 7, x: 2, a: 5}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 31233.6\nAnswer: 31233.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*s - 200, -4*s - 4*b + 147 = b. Suppose 36 = z - s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173319741 divided by 1\nAnswer: -173319741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + sqrt(1216)*-1)*6 + 0 + 1*(sqrt(1216) - sqrt(1216)*1)*-2)**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 40.1. Let k = 4.9 - p. What is the second biggest value in 1, k, -7\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4580*k - 39. What is h(0)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 12. Suppose 10*h - 658 + 208 = 0. Let m = 57 - h. Let y be i(m). Solve 4*a - 7 - 1 = y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25d2e (base 16) in base 9?\nAnswer: 255460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 + 163. Suppose -5 = 2*y - 13. Suppose -2*z - 5*n - 19 = -3*z, 4*z - 52 = -y*n. Solve 0 = 5*f + k + 2*k - z, -2*f + q*k = -14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 6:13 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -14*s + s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1725 and 91\/377200.\nAnswer: 1131600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -716 in 4, -1\/48, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14864.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -54*l - 22146 + 11073 + 11073. Let m(t) = -5*t. Give j(m(d)).\nAnswer: 270*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v**3 - 776*v**2 + 1256*v + 328. What is p(63)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 4*p - 41, -14*p + 59 = 9*w - 10*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3663\/2 - -18321\/10. Factor -3\/5*r**2 - t*r + 0.\nAnswer: -3*r*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 (base 11) in base 9?\nAnswer: -472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -72237.2 take away 440526?\nAnswer: -512763.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*t - 4*d = 0, -2*t + 3*d + 11 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42594 and 1832.5.\nAnswer: 44426.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2490.\nAnswer: -1\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060895 micrometers in meters?\nAnswer: 0.000000060895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 644, 1295, 1962, 2645?\n\"Answer: 8*i**2 + 627*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = k + 5*y, -4*k - 36*y + 32*y = 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -39?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 558 - 26239\nAnswer: -25681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 9 + 15. Calculate the least common multiple of y and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - z**2 - 4. Let f be m(3). Let k = -7 + f. Let y = k - -2. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 0*w**2 - 157 + 79 + 22*w + 75. Let n be c(-15). Let l = -86 - n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329575 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2992, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.3. Let b = -8 - -12. What is the closest to 0 in -2, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.61 - 4.2. Let n = i + -0.3. Let s = n + 0.39. Which is the closest to -1? (a) -2 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8914052, -8914065, -8914076, -8914085, -8914092?\nAnswer: -8914097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**3\/3 + 1. Let v(h) = 3*h - 8. Let x(c) = -3*c + 10. Let o(w) = 5*v(w) + 4*x(w). Determine n(o(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1, 0.1, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + (-6)\/3)*8. Calculate the remainder when 55 is divided by 2\/6 + g\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -9, 19 = 5*o + 3*d - 32. Suppose -4*l + 0*l = -o. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/46*(-235)\/1880?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 5)\/(3\/(-6) - -1). Let z(c) = c**3 - 4*c**2 + c + 2. Let x be (8\/(-6))\/(2\/(-6)). Let y be z(x). Solve -y = -2*q - m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2 + 12136*h - 24288 = 0.\nAnswer: -3036, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13102 (base 4) in base 7?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14325626767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*i**4 + 261*i - 261*i + (-4 + 4 - i)*(0*i**3 + 2*i**3 - 3*i**3))*(1 - 1 - i).\nAnswer: 23*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 215267 or 215656?\nAnswer: 215656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -145*h**8\/8 - h**6\/30 + 3097*h**4\/6 + 4404*h. Find the third derivative of u(g) wrt g.\nAnswer: -121800*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2037*x - 5897 = 111*x + 64987 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f + 3*f + 0*f)*(24 - 7 + 27) to the form y + t*f and give t.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2259*f - 175*f + 25338 - 103226 = 0 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 > -228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3617, -11855, -24713, -42191, -64289, -91007?\n\"Answer: -2310*v**2 - 1308*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.094317833790402 - 0.4.\nAnswer: -0.305682166209598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -2.3. Let t = 6 - 5. Let f = -1.1 + t. Is w smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 100, 0.13, -1, -3.26?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 13*r**2 + 11*r + 6. Let a = -44 - -45. Let h(q) = q**2 + 1. Let t(b) = a*v(b) - 6*h(b). Find the second derivative of t(s) wrt s.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 9. Suppose i = -2*u + 3*u + 4, 5*y - u = -1736. What is y rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10514833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 34\/7 + (-226)\/(-14). Let f(l) = 2*l**2 + 36*l + 39. Let d be f(r). What is the greatest common divisor of d and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 26, 28, 30?\n\"Answer: 2*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (2\/6 - (-4)\/(-12)). Suppose 4*d - k*c = 16, -3*d + 0*d + 12 = -c. Solve 20 = -0*o + 2*o + d*g, 0 = 4*o - 3*g + 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 5*f - 6. Let n be j(-4). Let o(m) = -4*m - 3. What is the remainder when (-1)\/(-3) + 52\/6 is divided by o(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2463 - -0.1463. Which is the fourth smallest value? (a) -0.04 (b) -1\/3 (c) -36 (d) q (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence viuv when four letters picked without replacement from {b: 2, v: 5, i: 4, u: 7}?\nAnswer: 7\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 386 or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -41 - 16. Let k be 372 - (-3 + 4)\/((-1)\/a). Calculate the greatest common factor of k and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:08 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/((-8)\/(-140)*5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 20*d**2 + 102*d + 823. What is f(-17)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*l - 4*t - 452, -129 = -l + 5*t. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 887*g = 890*g + 16, g = 6*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 24 - 6. Suppose -88 = 2*g - m*g. What is the lowest common multiple of (-2)\/(-4) + (-46)\/(-4) and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 1 - 3)*(-33*z + 24*z + 15*z) to the form f*z + w and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3155 + 38.2.\nAnswer: -3116.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -122, -276, -492?\n\"Answer: -31*x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24126, -54114, -89964, -131676, -179250?\n\"Answer: -2931*x**2 - 21195*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.213917km?\nAnswer: 1213917000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199 - -75. Let y = 80 - 201. Let t = y - x. What is the closest to 1\/2 in t, -2\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8302?\nAnswer: 2, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times -902\nAnswer: -1623.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-5))\/((-1)\/5). Let l(t) be the first derivative of 5*t**2 + 13*t + 82. Is l(s) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/28 - (-858)\/(-4). Let f = -88 - v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03840275 * 3.\nAnswer: -0.11520825","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 720*i = 743*i - 84893. List the prime factors of i.\nAnswer: 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -4, -0.5 in ascending order.\nAnswer: -4, -0.5, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5\/3 (c) -365 (d) 2\/15 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 9*w**2 + 7*w - 1. Let o be u(-7). Suppose -n = 4*y - 99 - 100, o = 4*y + 5*n. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 2:12 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 154 - 168 = 0. Calculate the remainder when f is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 8*q = 1204. Let j = 92 + q. Let 237\/2*n**3 - j - 297\/2*n**2 + 54*n - 81\/2*n**5 + 45\/2*n**4 = 0. What is n?\nAnswer: -2, 2\/9, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5096, 10124, 15090, 19994, 24836, 29616?\nAnswer: 34334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 1. Suppose 5*k - 3*k = 4. Let q(c) = 5*c + 7. Let g(p) = k*d(p) + q(p). What is g(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 y, and 1 l when four letters picked without replacement from lpypypipp.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**3 + 483*t**2 + 14883*t - 3557763 = 0?\nAnswer: -81, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 8*j**5\/15 + 3*j**4\/8 + 2*j**3\/3 + 2*j**2 + 245*j. Suppose 2*b + 0 = 6. Is a(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 22. Determine j(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9099160 and 909916.\nAnswer: 9099160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llklkkll. Give prob of picking 3 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001431 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-9)*2\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*u - 43 - 126 = 0, 3*u = 4*k - 131. Let n = -25 + k. Suppose -n = -4*h + 6. Solve -h*z + 18 = -2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (0 - (-4 + 2))) + -197 + 202\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -10 - (-17 + (-5 + 2 - -5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -64. Suppose 0 = p + 3*m - 4*m - 88, -3*p + y*m + 266 = 0. What is the remainder when p is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 0)*(-2)\/(-2). Let c be 2*649999 + (-1 - i). What is c rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -23. Let c(g) be the first derivative of -g**2\/2 + 2*g + 1. What are the prime factors of c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 584 + -1165\/2. Let k(l) be the first derivative of 4 - v*l**2 + 0*l**5 + 0*l + 0*l**3 + 0*l**4 + 3*l**6. What is the second derivative of k(z) wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*f + 64. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 41*k + 352. What is w(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 239*y - y**2 - 239*y. Let u(x) = 4*x. Calculate u(h(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/3 - 16793*f\/3 + 167830\/3 = 0.\nAnswer: 10, 16783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z + 5. Let c(o) = -7*o - 1. Let u(m) = 3*m. Let h(i) = c(i) + 2*u(i). Give -f(b) - 4*h(b).\nAnswer: 9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 18*w + 42. Let l = -150 + 155. Let v be r(l). Solve s - 9 = 4*g + 7, -5*s - v*g = -14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0768*-3.\nAnswer: -0.2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from szsssszs.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 smaller than 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 7*z**2 - 2*z + 20. Let v be m(7). Suppose 0 = v*w + 17 + 1. Suppose -10 = -5*q - 0. What is the biggest value in 2\/3, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 3\/5 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k*p**2 + 2*k*p*v + 54*k*p - 7*k*v**2 + 12*p**2*v + p wrt v?\nAnswer: 2*k*p - 14*k*v + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 109, 176, 243, 310, 377?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - q - 2 + 2*q + q - q + (1 - 2 - 1)*(1 - 2*q - 1))*(6*q**4 + q**4 - 6*q**4).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k**3 + 104*k**2 - 9*k**3 - 255*k**2 + 151*k**2.\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/55*(-60)\/20.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-8) - 1175\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4342475.9 days to weeks.\nAnswer: 620353.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/453760 and -93\/8281120?\nAnswer: 33124480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0 (c) -2\/3 (d) 1\/7 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0487047 to three dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 543 and 3.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.073*-404.043.\nAnswer: 29.495139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxjs when four letters picked without replacement from xjjzzjzsxsz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -58, 13718 in ascending order.\nAnswer: -58, -3, 13718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -102371*o - 511987. Give k(-5).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227118 - -1873272. Let u be j\/24 - (1 - 30\/24). Round u to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10193408 to the nearest integer?\nAnswer: 3193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/5 - 44684*m**4\/5 - 499254324*m**3\/5 - 399296224*m**2 - 399260480*m.\nAnswer: -m*(m + 2)**2*(m + 22340)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 10*o + 24. Let l be q(7). Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*s - 197 - 1067, 4*s - 1011 = x. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-63)\/(-1827)*-29*3\/21*1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let d = -8374 - -293114\/35. Let l = d - 9\/7. Which is the third biggest value? (a) 7 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqynqnryr. What is prob of picking 1 q, 1 r, and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 c when four letters picked without replacement from chydldcl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/(-66)*2*3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/2*(-2 - -6). Suppose -x = -w + j, -2*x = 3*w - 6 + 2. Let s be (-2)\/x*(-12)\/21. Which is the closest to 2\/7? (a) 0.4 (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2708 + -770. What are the prime factors of i?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + 14. What is f(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x - 9. Let b be w(4). Solve -2*n = -8*h + 3*h + 29, b = 5*h + 3*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 336283101*w**4 - 340783468*w wrt w.\nAnswer: 4035397212*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-30) - 976\/(-120). Suppose -a - 4 = 2*d, -2*d = -0 + m. Suppose 0 = a*n - 5*n + 49. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b - 17. Calculate the smallest common multiple of -3*((-6)\/(-27) - (-64)\/b) and 9\/(-4)*16\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9460*a + 7 + 8 + 5. Let k be g(13). What is k rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5365?\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - 11991?\nAnswer: -11983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 7\/12*v**5 - 49\/120*v**6 + 0*v + 0*v**3 + 7*v**2 + 0 + 0*v**4. Find the third derivative of q(i) wrt i.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -4.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2320)\/448)\/(-5) - ((-264)\/(-42) - 6). What is g in -9\/4*g**4 + 0 - w*g + 15\/4*g**3 - 3\/4*g**2 = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 - 128528\/(-2). Let o = 836216\/13 - s. Let t = o - 6407\/78. What is the common denominator of t and 76\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 1789, -8, -4.\nAnswer: -8, -4, 1, 4, 1789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 1\/5 (b) 19 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n - 5*c, 0 = -0*n - n + c - 1. Let r(i) = 30*i + 2. Let o(w) = 29*w + 3. Let g(p) = -5*o(p) + 4*r(p). What is the units digit of g(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1548963\/614108 - -6\/13957. What is the common denominator of r and -47\/14?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(37\/5)*((a*(a\/((a**(-2\/11)\/a)\/a))\/a)\/a)\/(a*a**0*a))**19 assuming a is positive.\nAnswer: a**(7923\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5772)\/(-185) - (-6)\/(-5). What is the highest common divisor of 530 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 46. Let b be (91\/o)\/13*4\/6. Does b = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -35. Let k = x - -36. Let i = 4 + -2. Solve 5*p + 1 = -i*o, -4*o = 3*p + 2*p - k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y. Suppose 4*x = p - 3*p - 12, 2*p + 2 = x. Give n(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/4*(-5)\/(105\/14). Let p(f) = -2*f + 5. Calculate p(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 11. Let k(c) = c + 2. Let m(t) = 2*t + 5. Let w(z) = -5*k(z) + 2*m(z). What is the units digit of w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 353 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20740, 20741, 20742?\n\"Answer: a + 20739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 19183\nAnswer: 4\/19183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 - 103. Let k(z) = -26*z - 100. What is the tens digit of k(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20180971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -108 and 5.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/69 + -160\/759. Let y(j) = j**3 + 6*j**2 + 5*j + 4. Let u be y(-5). Let x be ((-4)\/(-6))\/(u\/6). Is x at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqe when four letters picked without replacement from qqeeqssq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4355 + 4355. Let b(g) be the second derivative of u + 0*g**2 + 0*g**3 - 1\/6*g**4 + 2\/5*g**5 + 12*g. Find the third derivative of b(t) wrt t.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:54 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-197404.2\nAnswer: -11844.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f + f + 2*f - f**3 + 2*f + 2. Give q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83896, 342656, 773922, 1377694, 2153972?\nAnswer: 3102756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10104603, -10104617, -10104641, -10104675?\nAnswer: -10104719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-502)\/56 - (-2)\/(-7). Let s = 787\/2 + -403. Let r = s - w. Is -1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/60 - 365*b**4\/24 - 4258*b**3\/3 - 97*b**2 + 18*b - 1. Find the first derivative of o(x) wrt x.\nAnswer: 2*x - 365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41465 (base 7) to base 14.\nAnswer: 39dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 104, 190, 308, 458?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72305949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4529180?\nAnswer: 2, 5, 433, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b - 5*y + 10, -4*b + 2*y = -18. Put -2, b, -1, 2 in ascending order.\nAnswer: -2, -1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -5, 0.5, -666, -1\/6, -1.31, -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53268887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 200.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -1\/6 (b) 1\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4*(1 + ((-48504)\/32 - 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 43 = 45, 0 = -2*p + j + 1. Suppose 9*k - 45*k + 360 = p. Let c be (9\/(-12))\/(2\/(-80)). Calculate the greatest common divisor of c and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 3*j - 29. Suppose 2*o + z = -3*o + 82, 5*z = 5*o - j. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/16)\/(6\/(-4)). Let v = 483118.9 + -483119. Which is the third biggest value? (a) v (b) -39 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 17*x - 8*x + 1 + 7*x to the form z + d*x and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/87261 and 43\/10625.\nAnswer: 54538125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*190\/(-57)*-9. Solve -3*p + 2*z = g - 4, 5*z = -p + 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672671734 divided by -1?\nAnswer: -672671734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665 minus -0.01?\nAnswer: 1665.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359819 is divided by 142?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 + -2.79. Let a = h + -0.17. Let b = -0.36 - a. What is the closest to 0 in b, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**3 + 1. Suppose w + 0 - 6 = 4*q, 3*w = -4*q - 14. Let a(v) = -7*v - 3. Calculate the lowest common multiple of g(-1) and a(q).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56611 - 28292. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 - 1375*o + 1375*o - o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 9. Let o be x(-10). Let z = o - -4. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3627 and 86769.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Let r = l + 3. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*z + 6301 - 401 = 0 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15444799841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4 + 1 - 7 - 17*c + 12 as g*c + o and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -314 - -310. What is the tens digit of 3\/(q\/(-530 - -2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*p**2 + 244*p**2 + 26*p**2 + 89*p**2 - 66*p**2 to x*p**2 + j*p + v and give x.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 4:55 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11959.\nAnswer: 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12688743 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 907, 3591, 8065, 14329, 22383?\nAnswer: 32227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38343 + 38359. Solve 216 - w = -50*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 988, 0, -5.\nAnswer: -5, 0, 988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (22 - 31 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/11 + 34*h**2\/11 - 12*h = 0.\nAnswer: 0, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 2, k: 3, f: 2, w: 9}. Give prob of sequence kjw.\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335*x**3 + 624*x wrt x.\nAnswer: -2010*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 4*o**2 - 12*o + 3. Calculate a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10903, -21816, -32729, -43642, -54555, -65468?\n\"Answer: -10913*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.052392 - -4439.852392. Round w to the nearest ten.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 47*a**2 + 1\/3*a**4 - 2 - 6*a - a**3. Differentiate k(h) with respect to h.\nAnswer: 8*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 9. Let a be 16\/(-20)*(-15)\/2. Let p be u(a). What is the second derivative of -3*m**3 + 6*m**p - 2*m - 4*m**3 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 48 + (-354)\/(-44).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d4 (base 14) to base 2.\nAnswer: -10101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 + 2.5. Which is the second smallest value? (a) -5 (b) 2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4100745 and 20590.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 25*f - 24. Determine v(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 3*w - 14 + (-3*w + 4*w - 3*w)*(4 + 1 - 2) in the form k*w + l and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*n - 48*n - 62 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 4. Suppose 4*j - 3*j - x = 0. Suppose -9*s + 3*s + j = 0. Solve 3*o - 3*h + 24 = 0, -5*o + 5*h - s*h - 34 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 6:58 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4378? (a) -1\/7 (b) 0.02 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + (-20)\/3 - 3491\/(-3).\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, q: 2, r: 1, a: 1}. What is prob of sequence ar?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 21 (b) 0 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1840330?\nAnswer: -1\/368066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26559913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -5 (c) 0.4 (d) -1\/7 (e) -1\/1288 (f) 2\/15 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -35 + o**3 + 0*o**2 - 12 + 67 - 18*o**2 - o. Suppose -b = 3*b - 72. Let v be d(b). Solve k - 3*s + 4 = -3*k, v*s = 5*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aakakjavaanann. Give prob of sequence jk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*w + 2188*w - 561*w - 152776 = 0 for w.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -14304.98922147.\nAnswer: -14304.68922147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 71 = -4*b, 5*b + z - 109 = 4*z. Solve -8*o + b = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 + 20*i - 18. Calculate s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*y + 70*y + 2000 = 0 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1811521 + -1041521. Round v to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4470 times -112104\nAnswer: 501104880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110012444413 - -10?\nAnswer: 110012444423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882695187.\nAnswer: 3, 11, 1327, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8*x\/(x*x\/(x\/((x*x**(3\/14))\/x))))**(-25) assuming x is positive.\nAnswer: x**(-2725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**2 - 1113*g - 278 = 0.\nAnswer: -278, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 16 = -4*j. Suppose j*q = 29 - 9. Suppose 16 = -i + 71. What is the greatest common divisor of q and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/2 - 271\/(13550\/2850)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 21. Let w(c) = -14*c - 7. Let z(h) be the third derivative of 3*h**4\/8 + 5*h**3\/6 + 104*h**2. Determine x*z(t) + 5*w(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 102*-0.01\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 1:25 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -2197*r**6\/10 + 507*r**5\/25 + 312*r**4\/5 - 136*r**3\/5 + 24*r**2\/5 + 7*r. Solve z(m) = 0.\nAnswer: -2\/5, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 42564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 634*y**6 + 8787*y**4 - 95*y**2 + 3008091*y?\nAnswer: 76080*y**3 + 210888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79 or 4238\/53?\nAnswer: 4238\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207832 is divided by 2445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 2*m**2 + 3*m**2 + 77 - 77 - 7*m**4 - m to the form c*m + l*m**2 + v*m**4 + b*m**3 + i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 - -0.382. Round a to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 14. Suppose 27*l = 148 + 1661. Let g = l - 53. Does q = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 12*l + 167 - 183 = 5*l, 2*r - 2*l = 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/15 - 269*a**4\/9 + 12496*a**3\/3 - 58080*a**2 + a - 688. Factor j(f).\nAnswer: 4*(f - 132)**2*(f - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -6, 94660 in ascending order.\nAnswer: -6, 0.5, 94660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -488*m = -253*m - 242*m + 268471. List the prime factors of m.\nAnswer: 7, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) 3 (b) -1\/7 (c) -38 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 1 = -29. Let v(h) = 0*h - 3 + h - 1. What is v(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 3:20 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -38. Suppose 23 + q = j. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.103 - 0.503. Let x be (10\/40)\/((453\/(-24))\/1). Which is bigger: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 14 = -18*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1130*o - 2*p + 2 = -1132*o, 4*o - 14 = p. Solve z = 4*l - 18, -2*z + 17 - o = 4*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/22, -2, 0.5 in descending order.\nAnswer: 0.5, 1\/22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1273, -251 in decreasing order.\nAnswer: 1273, 5, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23138 and 17687.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, g: 2, r: 2, w: 2, y: 2, d: 1}. What is prob of picking 1 y, 1 w, 1 r, and 1 g?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-8)\/(-20) - 15\/25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/5 and -1 + (-29497)\/(-1950) + -13?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*i + 2*d + 87, 87 = -3*i - 5*d. Let z = i - -54. Let f = z + -13. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00831201955 rounded to five dps?\nAnswer: 0.00831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82364 + 82364.2. Let q = 5 - 8. Let g = -1 - q. Which is the third smallest value? (a) g (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -3*i**2\/2 + i + 8. Give v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 25*v - 10. What is a(16)?\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574235163?\nAnswer: 3, 17, 417019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4))**(-37)*w*w\/(w**(-4)\/w)*w**(-1)*w*w**(-1\/10)*w**(-3)*(w**(1\/3)\/w)**21 assuming w is positive.\nAnswer: w**(-387\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 - ((29 - 16) + -68541) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(2 - 4 + 1)*(1863 - 9*t - 1863).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 668286 and 4336.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1342 + -3?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 32*a**3\/9 - 17*a**2\/3 + 2*a\/3 - 16. Factor d(i).\nAnswer: 2*(i - 1)*(16*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 2, -5, 3, 1 in ascending order.\nAnswer: -19, -5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-108)\/(-270))\/(26\/10). Let r = 1.7 - -0.3. Which is the closest to 2? (a) r (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1304, -3028, 0.1 in decreasing order.\nAnswer: 1, 0.1, -1304, -3028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/1080 - r**5\/540 - 7*r**4\/27 - 8*r**3\/3 - 8*r**2 + 7. Factor k(m).\nAnswer: (m - 9)*(m + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 1190061466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 63180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 54 + 2 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - (0 + -2 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 6*z + 8 - 3.\nAnswer: -6*z + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -14*p**3 - 3*p**5 - 6*p**5 + 16*p**4 - 5*p**5 + 4*p**2 + 8*p**5 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-8)*40\/(-15)*-3. Solve -4*u + l = -10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82869*q + 117516*q + 180991*q.\nAnswer: 381376*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -157, -574, -1157, -1816, -2461, -3002, -3349?\n\"Answer: 15*z**3 - 173*z**2 - 3*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2247 + -2152. Solve 94*q - t*q + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/6 + 2*r**3\/3 + 3*r**2 - 32*r. Factor i(n).\nAnswer: -2*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/4 + 45243*s**2\/2 - 406944*s.\nAnswer: -3*s*(s - 30144)*(s - 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 divided by 8?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**2 + 790*a + 124. Determine c(-52).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(1\/(-18)))\/(15\/15). Suppose 5*v - 3*g = 22, -g = 4*v - 3*g - l. Suppose 26 = -12*h + 74. Solve v*r + 2*w + 0*w = 27, -1 = -r + h*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 707 and 10?\nAnswer: 7070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 11 = -5*s, i + 2*s = 4 - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (2 - (-4 - -5 - 3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 14*v**3 - 2*v**2. Suppose 2*i + i + 22 = -5*w, -2*w - 12 = 2*i. Let k be z(w). Is 4 + k\/(-4) + -4 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*j + 21 = 0, -3 + 0 = 2*n - 3*j. Let g(k) = -5*k**2 + 3 + k + 0*k**3 - 7*k + k**3. Let c be g(n). Solve -4*l - 9 = 3*f, c*l = -f - 0*f - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11)*-6 + -4 + 0)**2 + (sqrt(176)\/sqrt(4) - (sqrt(11) - sqrt(66)\/sqrt(6)*-5)).\nAnswer: 44*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-243))\/((-325)\/(-390)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17343)\/(-2214))\/((-25)\/4) + 1\/(-50)*4.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1432626 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + (-7 - -4) - (-4 - -19). List the prime factors of (-16)\/(-2)*(-12 + (-265)\/q).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1351)*(-3)\/78*91?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 29 (c) -4\/7 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2862 (base 11) to base 13.\nAnswer: 18b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 + 0 + 0 + 0 - k**3. Let w be 8*(3 - 14\/4). Let z be (-6*w\/48)\/(1\/4). Let r(s) = 4*s**3 + 13*s**2 - s. Determine z*r(c) + 9*x(c).\nAnswer: -c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/1)\/(75\/12 + 6\/8). Which is the fourth biggest value? (a) 150\/11 (b) -3 (c) h (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -194*w - 209*w + 113 + 586*w - 200*w. Does 27 divide k(-41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 2*h - 19386. Suppose -d = 3*d + 72. What are the prime factors of h\/d - 2\/3?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123 and 2874426?\nAnswer: 117851466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.083 from 1074479.\nAnswer: 1074479.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2 + 3*v + 8. Let l(f) = -8*f**2 - 2*f - 9. Let u(y) = 6*l(y) + 7*x(y). Calculate the remainder when 5 is divided by u(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*w - 58, 4*w - 44 = -3*r - r. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 13. Suppose -l + 0*a + 19 = 5*a, 5*a - 37 = 2*l. Let x be i(l). Solve r = x*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 2. Let o be c(-4). Suppose -4*w - o = -z, 3*w - 4*w = 5*z + 14. What is the nearest to -0.1 in w, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1187 (b) -1\/11 (c) 3\/7 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 3. Let k be g(9). Let h = k - -15. Let w be (3 + h)*(-2)\/(-75). Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 5*a + 11. Let n(i) = -2*i**2 + 4*i + 12. Let b(d) = 2*n(d) - 3*t(d). Let p be b(-2). Suppose -1 = 3*h - x - 2, -4*x = 16. Is h >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210*d**3 - 289*d**2 wrt d?\nAnswer: -1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -10.6?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4594*i - 60 = 4624*i. Let r(f) = -f**2 - 1. Let y be r(2). Sort i, 39, -4, y.\nAnswer: y, -4, i, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 + 2*t**2 + 5*t + 1. Let p be u(-2). Let c = p + -14. What is the remainder when 15 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 14 = 3*q, 5*a + 57*q = 60*q - 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Let c = 6942.8 - 6944.8. What is the closest to r in 3, 2\/3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/1254)\/((-9)\/(-27))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1bd972 (base 15) to base 3\nAnswer: 2120012122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lggliggggg. Give prob of picking 3 g.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 14427.\nAnswer: 28854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**5 + j**4 - 35*j**3*s + j*s - j + 2 wrt j?\nAnswer: -20*j**3 + 12*j**2 - 210*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -8*z + 0*z**3 - 1\/6*z**4 + 4*z**2 + 0. What is the derivative of d(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1634 - 4903 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.028 + 0.252. Let l = -0.37 + v. What is the nearest to l in 4\/5, 2, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -121, 5, -2, -67 in decreasing order.\nAnswer: 5, -2, -5, -67, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6)*(1 + -1). Suppose u = -d - 0*d - 44. List the prime factors of (-4 - d\/10)*415.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -563, 2\/13, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 485*s**4\/24 + 34*s**3 + 224*s**2 + 3*s. Find the first derivative of l(k) wrt k.\nAnswer: 485","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/1 - (3 + (-2025)\/120).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.106833ms in nanoseconds?\nAnswer: 3106833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 17 = 59. Let b(s) = -s**2 - 7*s - 1. Give b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 84 = 3*b - 4*b, -2*d + 63 = 3*b. Let q be (-2)\/10 - (-91)\/5. Let m = d - q. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -869259662*g**2*k - 937524046*g*k wrt g?\nAnswer: -1738519324*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 16545786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 9*u - 13. Let h be a(6). Let k be (2\/3)\/(1\/(9\/6)). Let w(s) = s**2 - 6*s - 5. Let x be w(7). Put x, h, k in ascending order.\nAnswer: k, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*q - 5*z + 2, z = 3*q - 52. Solve -19 = -4*j - 3*v, -j - v = 2*v - q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -5, -7, 0.\nAnswer: -7, -5, 0, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (1536\/(-160))\/(1\/(-80)) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -110536, -110534, -110532, -110530, -110528?\n\"Answer: 2*h - 110538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, s: 1, i: 4, d: 2}. What is prob of picking 1 d and 2 m?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 282900.27 months in millennia?\nAnswer: 23.5750225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 309056 * 0.061\nAnswer: 18852.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 1. Calculate x(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 4.6. Let x = -14 + 46\/3. What is the second biggest value in i, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -226455500958.\nAnswer: -226455500959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 4*k - 2*k**3 + 2 + 7*k)*(1 - 3 + 4).\nAnswer: -4*k**3 + 4*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/2 - 2245*y**4\/2 + 5625*y**3 = 0. What is y?\nAnswer: -2250, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 49*y**6\/120 + y**5\/60 + 7*y**4\/24 + 2*y**2 + 10. Find the third derivative of a(f) wrt f.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 2*y + 105. Does 7 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424409961.\nAnswer: 3, 23, 149, 41281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z + 534. What are the prime factors of z?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7 = 2*v. Let d = -3 + v. Let n be (-22)\/(-132)*(3\/(-2) + 0). Which is the closest to 2\/3? (a) -4 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - n + n)*(4*n - 16*n - 6*n) + n**2 - 48*n**2 - 27*n**2 as g + b*n**2 + d*n and give b.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 56.62. Let g = y - 0.05. What is g rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10752 divided by 2\nAnswer: 5376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 195 = 28*r. Calculate the lowest common multiple of r and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, e: 13, s: 2}. What is prob of sequence ex?\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 3*q**2 + 4*q - 15. Let l = -34046 - -34039. Calculate z(l).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 - 64 = -2*x, -5*x + 200 = 5*m. Suppose 7*h - 6*h - 4 = 0. Suppose x = s + h*s. Calculate the remainder when 20 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 22*z**2 + 1. Let n(q) = 68*q**2 + 13*q + 4. Calculate -n(x) - t(x).\nAnswer: -90*x**2 - 13*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 - 824*w\/3.\nAnswer: 2*w*(w - 1236)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20898 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-6)*(2 - 5). Suppose 309 = c*d + 3*f, -f = -5*d - 2*f + 303. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153)\/54*((0 - -1) + -12 + 17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/2, 0.4, 4\/7, 2\/263, 0.145?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7297 + -7301. Let a(w) = 73*w + 291. Determine a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -1\/8 (b) 1 (c) -0.5 (d) -14\/439 (e) -2 (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*s + 2438 - 6427, 2*b + 4*s - 2660 = 0. What is the greatest common divisor of b and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -10 + (13 + -7 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177182 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 185429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109385083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 3. Let n(y) = 2*y**2 + 3*y - 4. Let k(g) = -11 + 4*g - 3*g + 7*g + 5*g**2. Let v(h) = w*k(h) + 8*n(h). What is the derivative of v(z) wrt z?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248137063?\nAnswer: 181, 197, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/32*10*-28. Let f be (-10 - x) + (-4)\/(-1)*1. What is the hundreds digit of 5 + f + -4 - 3*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 4) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 840 and 80?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -18761?\nAnswer: -8\/18761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 438 + 426 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -3142?\nAnswer: -3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40995432 + 0?\nAnswer: -40995432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**4\/4 - 2*s**3\/3 + 3*s + 7. Let x(q) = 3*q**3 + 5*q**2 - 7. Let c = 20 - 25. What is c*b(k) - 2*x(k)?\nAnswer: -k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9139*r = 2036*r + 2254 - 33464 - 11408 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14954?\nAnswer: 2, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*f - 2*d, -3*f + 2*d - 1 = -7. Let v(m) = 4*m - 1. Let z be 3\/2 + (-2)\/4. Let s be v(z). Solve s*r = -f*w - 3*w - 6, -5*r + 26 = -4*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251468143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 127375858 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2009370*p**3 - 3*p - 243119.\nAnswer: -12056220*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32313705 divided by -49485\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 336*a**3*u**6 + 834*a**3*u**2 - 2*u**6 wrt u?\nAnswer: 40320*a**3*u**3 - 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*p + 2*q + 15, 0 = -p - 5*q - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 12:04 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -171*b + 28957 - 21604 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -551357237*y**3 + 99925278?\nAnswer: -1654071711*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 103*y**2 + 1. Let z be p(-1). Suppose -5 = 3*b - z. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 420824*h**3 - 508294*h.\nAnswer: 2524944*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qall when four letters picked without replacement from uluquluaqumaqq.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065481 is divided by 32287.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5 + 1828*l**4 + 16350*l**3 + 54388*l**2 + 79688*l + 43440 = 0. What is l?\nAnswer: -905, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -30, -1\/5, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k + 15. Let z be p(7). Let u = z + 32. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*y**3 - 185*y**2 - 40*y + 75 = 0. What is y?\nAnswer: -3\/5, 5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Is 77\/((-4)\/y + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -4.9, -552, -67 in descending order.\nAnswer: -4\/3, -4.9, -67, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1650687971?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 3880 = -18*c - 123*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.04729mg to tonnes.\nAnswer: 0.00000001904729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**3\/6 + 45*j**2 + 2*j - 1806. Let i(w) = 55*w. What is i(u(v))?\nAnswer: 55*v + 4950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*w**3 + 89*w**3 - 44*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 7214*z = 7213*z - 24, 0 = -4*z + 8 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 138, 365, 688?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/44 - (-26)\/(-8)) + 3. Solve 0 = -3*u - x*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-13 - (-11 + 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + a - 136 = 0, -113 = -3*f + 3*a - a. Let h = 37 - f. Solve -7 = 5*i - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7863686?\nAnswer: 2, 257, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919050?\nAnswer: 2, 5, 7, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, -81 in descending order.\nAnswer: -5, -15, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-5)\/70*32\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -37.835. Let t = 0.01 + -0.17591. Let w = i - t. Round w to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*f + 3 + 180*f**2 + 194*f - 144*f.\nAnswer: 180*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*z**2 + 1408*z - 2815*z + z**4 + 1404*z - 16*z**2 - 20 - 7*z**5 wrt z.\nAnswer: -140*z**3 + 12*z**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 7*s + 1. Calculate w(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 - 94. Let x = c - 41. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*k + 7*k**2 + 19*k + 35*k.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -11, -48, -123, -248, -435?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 5*p + 7. Let m be t(-4). Let v = 7 - 2. Suppose m*l - b + 64 = 5*l, -2*b = v*l - 159. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10937322 a multiple of 775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-2)\/(-6) + 720\/432. Put u, 4, 3, -2\/21, -1\/20 in ascending order.\nAnswer: -2\/21, -1\/20, u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.4 + -36.39999817. What is f rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1647)\/2196*(-152)\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2443 divided by 4.\nAnswer: 2443\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 57, -0.4, -3, 4\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -19*b + 13. Let c be j(8). Let o = 138 + c. Is o at least -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.77 from -8744.\nAnswer: -8767.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51, 102, 153, 204?\n\"Answer: 51*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + ((-4216)\/64)\/(-31)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/23)*v**(-2\/5)\/v)\/(v**(-8)*((v**3\/v*v*v)\/v)\/v) assuming v is positive.\nAnswer: v**(519\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1973976398 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5*4)\/((-215)\/(-1075))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1389, 2779, 4169, 5559, 6949, 8339?\nAnswer: 9729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q - 5*l = 29, 2*l + 30 = 5*q. Suppose -3*v + 55 = -143. Suppose -m - v = -q*m. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {l: 2, z: 2, i: 1, x: 1, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -0.4, 4, 0.21, -1\/6 in ascending order.\nAnswer: -0.4, -1\/6, -2\/15, 0.21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.29, 0.22, -3 in decreasing order.\nAnswer: 0.29, 0.22, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -922 (base 14) to base 3.\nAnswer: -2110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 700, 19968?\nAnswer: 19968","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 + 22*b + 0*b**2 - 26*b + (3*b + 2*b - 3*b)*(-3*b + b - 3*b).\nAnswer: -7*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9630971983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58150 plus -51?\nAnswer: 58099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7010 = -2*a, -5*a = m + 9129 - 26681. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 75. Let u(z) = 74. Let b(w) = 4*d(w) + 3*u(w). Does 6 divide b(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 - -188. Suppose -8*x = -149 + 125. Determine g so that -g + 21*g**4 + 129*g**2 + j*g**x + 20*g + 53*g + 12 = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 25*b**3 - 9*b**2 - 13*b + 21. Let g(r) be the second derivative of 3*r**5\/10 - r**4\/6 - r**3\/2 + 5*r**2\/2 + 7973*r. Determine 26*g(a) - 6*i(a).\nAnswer: 6*a**3 + 2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -59*u. Let g = -61 - -49. What is the remainder when m(-1) is divided by ((-10)\/1)\/5 - (-2 + g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = -4*v + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 + 6 = 0. Let y be 3 + a + 2\/(-1). Is (-1 - 2)*y + 502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1 = 11, 4*z + 2 = -2*p. Let y be z\/(2 - 3)*-5. Let s = y - 5. Is s at least 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 16153 = -53241. What is the greatest common factor of 61 and g?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -5, -24, 57?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014011 rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.0756 (c) -2 (d) 5 (e) -1\/4 (f) -2\/901 (g) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1660875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/5)\/(50\/(-125))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 15*n**2 + 12*n + 33. Let x be g(14). Suppose 1200 = 5*w + a, -10*a = -x*w - 9*a + 1210. What are the prime factors of w?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:51 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 524, 4216, 14242, 33770, 65968, 114004?\n\"Answer: 528*q**3 - q**2 - q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0 + o**3 + 0*o - 1\/120*o**6 + 1\/15*o**5 + 5*o**2 - 1\/6*o**4. Let x(j) = j**3 - 5*j**2 + 5*j - 7. Give -5*p(r) - 4*x(r).\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 171553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*l = -2, d + 3 + 5 = 2*l. Which is the third smallest value? (a) -1 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 520, 1138, 1758, 2380, 3004, 3630?\n\"Answer: i**2 + 615*i - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 174. Let y = c - -126.9891. Round y to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6495, 6491, 6483, 6471, 6455, 6435, 6411?\nAnswer: 6383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*v**3 - 4\/7*v + 0 + 2\/7*v**5 - 2\/7*v**4 + 10\/7*v**2.\nAnswer: 2*v*(v - 1)**3*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7056)*1 + sqrt(245)\/sqrt(5)*-5 + sqrt(49))\/(((sqrt(70) - (sqrt(70) - (sqrt(70) - -4*sqrt(70))))*-2)\/sqrt(10)).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = -5*g + 7, 2*g = -3*v + 18. Calculate the smallest common multiple of 20 - 3\/6*4 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.188 - -0.17. What is d rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -1\/6, 0, -0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97775 + -96682.94. What is k rounded to the nearest ten?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/17, -21\/65, 89, 4, -2\/7 in decreasing order.\nAnswer: 89, 4, -2\/17, -2\/7, -21\/65, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/3)\/(1 - -1). Solve -5*a + o*v - 3*v + 20 = 0, -2*a + 20 = -2*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02037698 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - -406?\nAnswer: 3c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 30, 4*f + 12*l + 208 = 8*l. Which is bigger: f or -55?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132*m - 2953*m - 112840 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 14*f + 11. What is the units digit of c(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99681, -199361, -299039, -398715, -498389?\nAnswer: -598061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*s - 1 + 13, -3*d + 21 = -5*s. Let t = 2 - d. Suppose 4*v + 5*n - 36 = t, 4*n + 60 = 2*v + 16. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 6*r - 65. Calculate the remainder when 21 is divided by v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35435, 35434, 35433?\nAnswer: 35432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33349361 divided by -1.\nAnswer: 33349361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j - 3*j - 8*j - j.\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (710\/(-15))\/((-2)\/(-3)). Let x = -46 - l. Let k = x - -11. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573248790 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + o**2 + 1. Let u be t(-1). Let h(l) = 26*l - 1. What is the tens digit of h(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10783 - -10753) + 64 + 0.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32663 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2660*f*p**3 + 2*f*p**2 + 3603*f*p + 2*f wrt p.\nAnswer: 15960*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 1, n: 1, g: 3, v: 1}. What is prob of picking 1 a and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*h + 2*a + 1, -6 = 5*h + a. Suppose 0 = 3*u + 6, 4*y + 5*u + 19 = y. Is h not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 385\/595*85\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 173*v**2 - 519*v + 1038. Let u(l) = -l + 2. Calculate m(x) - 519*u(x).\nAnswer: 173*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3120 and 77\/1324440?\nAnswer: 2648880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.074843484 rounded to 2 decimal places?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x + 9, x = -3*o + 45. Suppose 30*d - 35 = 2485. Calculate the greatest common factor of d and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.1. Let t be ((-51)\/9)\/((-9)\/(-27)). Let x = -15 - t. Which is the closest to -1? (a) n (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**3 + 4*q + 2. Let t(o) = -o**3 - 1. Let p be 15\/(-24) + (-9)\/24. What is p*n(v) - 2*t(v)?\nAnswer: -v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**6))*l*l)**(11\/5)*((l\/(l*l**(-1\/2)*l))\/l*l)\/(l\/(((l\/(l\/(l\/(l*l**(-1\/15)\/l))))\/l*l)\/l)) assuming l is positive.\nAnswer: l**(-241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/12 + 3*p**2. Calculate the lowest common multiple of 3 and v(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2. Let z be g(-1). Let v be (-24)\/10 - (-4)\/10. Let m be 4 - 3 - (1 + v). What is the closest to 2 in 0.5, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -16*o - 6. Let n be q(-5). Let m = 65 - n. Let c be ((-24)\/m + -2)\/(4\/18). Solve 3*v - c = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -0.337292618226.\nAnswer: -0.537292618226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + 1 + sqrt(11))*-4.\nAnswer: -120 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {k: 2, a: 3, d: 11, v: 3}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 24*a - 21*a + 3743 = 0, -755 = v - a. Let x = -742 - v. Let k be 86\/10 - (-4)\/10. What is the greatest common factor of k and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1.7502?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 9365682*h - 56194200.\nAnswer: 3*(h - 3121900)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a - 46 - 2*a + 10 - 7. Let r(w) = -2*w**2. Determine z(r(g)).\nAnswer: -4*g**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -202*j + 12319. Let h be z(61). Which is bigger: h or -141\/64?\nAnswer: -141\/64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 461885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2619 and 22410.\nAnswer: 2173770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1531 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*y + 84, 3*f + 66 = -4*y + y. Let m = -6 - f. What is the highest common factor of 30 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*b - x = -238*b - 4, -10*x + 40 = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -178 in 1\/7, -12, 0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**1\/s))**24*s*s**(-4)*s\/(s\/s**8))\/(s**(1\/12)\/(((s\/s**(-8\/3))\/s*s*s)\/s)*((s\/(s*s**(-6)\/s)*s*s)\/s)\/(s*s**(2\/21))) assuming s is positive.\nAnswer: s**(719\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (234\/(-702))\/((-1)\/51)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/12)\/(4\/((-96)\/(-6))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435022 is divided by 434429?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 6*k**2 - 8*k - 16. Let v be x(-7). What is the units digit of (3\/v)\/(1\/(-954))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**3 - 680048*w**2 + 680036*w + 1360088 = 0 for w.\nAnswer: -1, 2, 170011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8649 + 70*p - 502*p - 69*p - 460*p wrt p?\nAnswer: -961","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192253025?\nAnswer: 3, 5, 31, 512797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3856*i + 3852*i = -5*z + z - 12, 0 = -5*z - 2*i + 41 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 2, n: 1, o: 1}. Give prob of sequence pnp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84928 and -16.9.\nAnswer: -1435283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**6\/60 + c**5\/12 + 11*c**4\/24 - 8*c**2. Let d(q) be the second derivative of b(q). What is the derivative of d(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 67 - 53. Suppose -2 = 2*j, 2*z + 5*j = -z + q. Solve -3*i - z = -2*w - 8*i, 0 = 4*w - 5*i - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 9:01 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/5220 and 167\/870.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(847) + -4 + sqrt(847)))**2.\nAnswer: -176*sqrt(7) + 3404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 62952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) + (-1)\/(8\/(-42)). Let s(x) be the third derivative of -x**4\/12 + x**3 + 2*x**2. Determine s(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-78)\/(-5)*(-1 + 14\/4). Do -2 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76357010 and 40.\nAnswer: 305428040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*m = 6, h + 22 = m + 8. Let p be (153\/(-34))\/((-6)\/h). Let s be p*(-1 + (-3)\/(-4)). Solve q = -s*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f - 2. Let z(i) = 9*i + 3*i + 3*i - 20*i - 1. Let l(q) = -3*x(q) + 5*z(q). Let t(o) = -2*o**2. What is l(t(s))?\nAnswer: -16*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.46 (b) 2\/3 (c) -1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -3700902?\nAnswer: 37008dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13241055 - -3?\nAnswer: -13241052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v + 32. Let h be z(-5). Suppose -11 + h = -b, 2*y + 5*b = 28. Solve -2*u = y*r + u, r = 5*u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101100 + 10111111?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/(4\/144). Let x(d) = 2*d - 32. Let j be x(y). Which is the nearest to 0.2? (a) j (b) -4\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270*a - 321*a = -12588 - 20627 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o + 7187. Is y(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01598 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1)\/(6\/(-2)). Let u = 29 + -13. Suppose -3*k = j - 4, -5*j - u = -k - 2*k. Which is the nearest to -1? (a) s (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12074972.\nAnswer: 2, 7, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -4.2, -5, -1 in decreasing order.\nAnswer: 2\/9, -1, -4.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837 divided by -1.\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -31*j - 46. Let m be l(-2). Sort 5, -2, m, 2 in increasing order.\nAnswer: -2, 2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 110 - 436654?\nAnswer: -436544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3109 * -0.0222.\nAnswer: 69.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120021110 (base 4) in base 12?\nAnswer: 154b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 47 + 46 - 144 + 51 + 916*k. Let x(a) = -2*a. Calculate m(x(o)).\nAnswer: -1832*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-5) + (-265)\/(-25) + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20065135 a multiple of 1111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*r + 363*r = 755*r - 182 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 36*s**2 + 9. Let p(b) = -9*b**2 - 2. Give -9*p(r) - 2*v(r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59895451 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1171 + 8185\/7026. Let h(u) be the first derivative of -2\/3*u + 2\/9*u**3 - 7\/12*u**4 + m*u**2 + 1. Factor h(f).\nAnswer: -(f - 1)*(f + 1)*(7*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {t: 1, k: 1, g: 3, i: 5, w: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0900276 + 0.09. What is w rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9964409 or 1\/18?\nAnswer: -9964409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 - (-3 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 12, e: 3}. What is prob of picking 2 l?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**7\/s*(s**5\/s)\/s*(s\/((s*s**(-2)*s)\/s))**34 assuming s is positive.\nAnswer: s**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -603\/410 - 13\/164. Calculate the common denominator of (3 - 1) + 2\/24 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/7)\/o)\/((o\/(o\/(o**(6\/7)\/o)*o))\/o))\/(o\/(o**(-10)\/o)*o*o\/o**(2\/35)))**(1\/31) assuming o is positive.\nAnswer: o**(-13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -10453?\nAnswer: 10452.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 962864 - b?\nAnswer: 962856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7747.31 - 7340.3. Let q = 409 - i. Let y = q + 0.01. Which is the nearest to 0.1? (a) -5 (b) 3\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -2*h. Suppose -64*o = -68*o + 4*m - 44, 76 = -5*o - 2*m. Sort 0, h, o.\nAnswer: o, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2\/5 (c) -3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108085, 106402, 104707, 102994, 101257, 99490, 97687?\nAnswer: 95842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(130\/12))\/(8\/(-20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 8) to base 7.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 665*h**3\/3 + 5*h**2\/2 - 98*h - 2754. What is the second derivative of c(r) wrt r?\nAnswer: 1330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*m + 32*m - 2 - 29*m**2 + 3)*(6*m**2 - 6*m**2 + 4*m**2).\nAnswer: -116*m**4 - 108*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -0.01. Let p = 10\/7 + -83\/63. Which is the second biggest value? (a) n (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/25))**(2\/15)*r**(-9\/4)\/(r**(1\/10)*r) assuming r is positive.\nAnswer: r**(-4841\/1500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 12 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380854 - 139*b**2 - 380854.\nAnswer: -139*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 558837502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 55229.\nAnswer: -1\/55229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 220 + -154. Let a = v - -20. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.21, -2, -1\/3, 2, -2\/11, 49?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 108*m**3 - 9*m**3 + (0 + 0 + 2*m**2)*(-4*m + 8*m + 5*m) as u + w*m + h*m**2 + c*m**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -29 + 1 - (-31 + 17 - -9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-1))\/2 + (-3392 - -3391)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 31133180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 44 = -6*v. Suppose v + 10 = 3*j. Suppose -3*w + 63 = 3*h, -132 = -5*w - 3*h + j*h. What is the remainder when 69 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61 and -0.0100012.\nAnswer: -61.0100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364821782?\nAnswer: 2, 3, 71, 3203807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*n - 42 - 46 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 218, 427, 638, 851?\n\"Answer: a**2 + 206*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - g**2 - 3*g**3 - 7*g**3 + 3*g**2.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 2*r + r)*(-10*r**2 + 21 + 11*r**2 + 0) in the form x*r + t*r**3 + m + f*r**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -295*(5\/40)\/((-15)\/(-12))*4. Let k be -1 + 3 - (-2 - -83). Let z = b - k. Is z at least as big as -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + (-1 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 303265509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1486969 (b) -30\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 5*z**8\/336 + 3*z**4\/8 + 3*z**2\/2 - 9. Let x(k) be the second derivative of f(k). Find the second derivative of x(w) wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 - 96*o - 4. Let i(d) = 31*d**2 + 579*d + 25. Calculate 6*i(a) + 37*s(a).\nAnswer: a**2 - 78*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -445857.\nAnswer: 5\/445857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z**2 - 7*z + 15. Let t(v) = -7*v + 3*v - 5*v**2 + 7 + 0*v. Let w(d) = 4*m(d) - 9*t(d). Is w(-12) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 74. Let k(a) = -18*a + a**2 + 4 + 4*a + 1 + 3. What is the remainder when v is divided by k(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149.3 - 43.3. Let k = 112.93 - g. What is k rounded to one decimal place?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000362973 to seven dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61853797493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4873*o + 3 + 1891*o - 2485*o - 4701*o.\nAnswer: -10168*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27465 is divided by 137.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fosf when four letters picked without replacement from sffosfoooffosofoo.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5996 * -497.1.\nAnswer: 2980611.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32505519 by 5.\nAnswer: -32505519\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*d + 4846 = -3474 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11 + -9)*2\/4. Suppose -z + q = -20. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**3 - 8*u**2 - 3*u - 641. Let i(t) = -3*t**3 + 3*t**2 + t + 214. Let d(w) = -6*b(w) - 17*i(w). Find the second derivative of d(g) wrt g.\nAnswer: 54*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*b + 202 = 0, 5*b = 3*z + 7*b + 152. Let r = z + 57. Solve r = t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1 + -3. Let k = 149.1 - 145. Let s = k + -3.9. Sort 2, i, s, -2\/5 in decreasing order.\nAnswer: 2, s, i, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btbiibbt. What is prob of picking 1 t and 1 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*x + 4*x**2 - 56*x - 6*x**2)*(-7*x**2 + 7*x**2 + 3*x**3).\nAnswer: -6*x**5 - 534*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3838)\/323 - (15\/(-17) + 1). Let m(y) = y**3 + 12*y**2 + 2*y + 18. Determine m(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1900)\/(-228)*(-6)\/(-10). Solve 5*f = -5*k - x, 2*f = f + 2*k + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(68) + ((sqrt(68) + (-1 + sqrt(68) + -2 - sqrt(68)))**2 - sqrt(68))).\nAnswer: -24*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3090 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*c + 61. Let j = 63828 + -63401. What is the greatest common divisor of c and j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.19 and -0.03?\nAnswer: 0.1257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 9004820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 1, -0.3, 0.1, -44?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/6*(-6)\/(-312)*13.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z. Let f(q) be the first derivative of -q**5\/15 - q**2 + 2*q + 50. Let h(l) be the second derivative of f(l). Determine h(u(c)).\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-8)\/(-100) - (-48)\/(-270)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - -0.08. Let n = -4.9 - h. Suppose 0 = 5*b + f + 4*f + 30, 2*b + 27 = -5*f. Sort b, n, -4\/7 in increasing order.\nAnswer: n, b, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 527890174023015 and -5?\nAnswer: 527890174023020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -4, -283 in decreasing order.\nAnswer: 4, -2, -4, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 433b57 (base 15) in base 3?\nAnswer: 20000200101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*y, -5*y = -0*h - 2*h. Suppose -b - b + 5*g + 22 = h, -5*b + 34 = -2*g. Let c(m) = m**3 - 4*m**2 - 8*m - 2. Does 11 divide c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 14 = -b - 4, 2*b - 25 = -5*m. Let y(l) be the third derivative of 0*l**4 - m*l**2 + 0 - 1\/90*l**5 + 0*l**3 + 0*l. Factor y(r).\nAnswer: -2*r**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714689?\nAnswer: 3, 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**4\/12 + 3*d**3\/2 + 4*d**2 + 27*d - 595. Let w be -2 + (-6)\/(-1 + 2). Calculate o(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 - 13*x**4 + 39226*x**3 - 100*x - 6769 wrt x?\nAnswer: 20*x**3 - 156*x**2 + 235356*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.69 - -12.2. Let h = 0.11 - r. Which is the closest to -1? (a) -2\/9 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 9:37 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + k)*(2*k - 2*k + k + 3*k - 4*k + 4*k + (-1 + 2 + 0)*(k + 0*k + 2*k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-5481)\/(-406))\/((-12)\/(-32))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5, 7*z - 4*z - 367 = -5*h. Calculate the remainder when h is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 3:22 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4275249530.\nAnswer: 2, 5, 427524953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68639, -137279, -205919, -274559, -343199?\n\"Answer: -68640*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/22 (b) -0.02 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 11:13 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -875, -905, -957, -1049, -1199, -1425, -1745, -2177?\n\"Answer: -3*r**3 + 7*r**2 - 30*r - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z - 5*z - 6*z - 3. Let a be t(-3). Suppose -l - 2*l = -a. What is the remainder when l is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 + 119.6. Let w = m - -52.61. What is w rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/6836115 and -83\/627.\nAnswer: 129886185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d - 10. Let t(a) = -9*a - 19. What is 5*m(u) - 3*t(u)?\nAnswer: 2*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 5:41 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z*z\/z**(-1))))**42\/(z**6\/(z**(2\/15)\/z)) assuming z is positive.\nAnswer: z**(2417\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 + -22. List the prime factors of o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-3) - (-215)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/18 and 31\/135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25453423\/75 + 339386. Let q = -56\/225 + t. Let x = -334\/209 - 8\/209. What is the common denominator of q and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003800760548 to 6 decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1394 + 1394.2. What is the closest to b in 0.3, 1, -2, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4)*(-3)\/(-9))\/((-420)\/37800).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - d + 2. Let w be o(-2). Let f be ((-44)\/10 - w)*-5. Let c(r) = -r**3 + 15*r**2 + 2. Let g be c(15). Solve -f*v + g = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 2)*(-5 - 1 + 4)*(-b - b + 0*b)*(3 + 0 + 1)*(20 - 20 - 36) to the form m*b + r and give m.\nAnswer: 1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*p - 2*m, 5*p - 175 + 190 = 2*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -90930.856 to the nearest one thousand.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g = 55*g. Put 2, -4, -2, -5, g in descending order.\nAnswer: 2, g, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 20 + 6*j + 21.\nAnswer: 6*j + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 248, -1, 4, 3.\nAnswer: -3, -2, -1, 3, 4, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 6*-1*sqrt(125))*-1.\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*d = 2*c - 1, -4*c + 3*d = 0. Let o(v) = -3*v**2 + 3*v + 5. Let m(q) = -6*q**2 + 6*q + 9. Let g(p) = -3*m(p) + 5*o(p). Is g(c) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 950811*u**6 + 2*u**2 + 2*u + 118634 wrt u.\nAnswer: 114097320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**5\/120 + 2*z**4\/3 + z**3\/3 + 123*z - 25. Let n(c) be the third derivative of b(c). Determine n(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 5, 3, -90, -5 in descending order.\nAnswer: 5, 3, -1, -2, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 527, 1177, 2103, 3311?\nAnswer: 4807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 385497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8010971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1372? (a) 0.099 (b) 3 (c) 25 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -12113222131?\nAnswer: 12113222131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*y - y - 2*y - 2 + 45*y**4 + 33*y**4 + 45*y**4 wrt y?\nAnswer: 1476*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 460 + 24. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141262*a**3*o**2 - 1549*a**3 + 67503*a**2 - 2519*a*o - a wrt o.\nAnswer: 282524*a**3*o - 2519*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/4533 + 4565\/18132. Suppose 43*v - 3 = 42*v. Determine s, given that -3\/2 - 1\/4*s**v - n*s + s**2 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1676 - 1671. Suppose -3*o + 44 = -o. What is the remainder when o is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 6*m - 7. Let h(a) = -9*a - 4. Let o be h(-1). Give c(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/28)\/(2*(-75)\/420*66\/55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 4524?\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 3:57 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.4 (c) 1137 (d) -0.11 (e) 18 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsvdsvessivv. What is prob of sequence vd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + (-917)\/(-455) + -3. Is b <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*h - 223, -43 = -t + 25*h - 26*h. Calculate the highest common divisor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-5))\/((-196)\/(-490)). Calculate the highest common divisor of d and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 49, 75, 115, 175?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 83992 = 4*m - 83930, 5*n + 158 = -34*m for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -3*q**5\/140 - q**4\/2 + 20*q**3\/7 + 192*q**2\/7 - 410*q. Solve y(i) = 0 for i.\nAnswer: -16, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6890 - 6890.059. Which is the nearest to 1? (a) -0.5 (b) -27 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3 + 21 = 0. Suppose -5*b = -2*i - 48, 2*b - 12 = -i - 0*i. Calculate the least common multiple of b and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/30 + 11*r**4\/8 - 2*r**3 - 195*r**2. Let s be f(16). Solve s*q - 14 = 11*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -496*u - 37. Let j be w(2). Let i = j + 4462. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0391 - -3429.0391. Let s = a - 3429.2901. What is s rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1646\/(-17283))\/(32\/36)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/21*270\/(-54)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -258.81 - -258.31. Let r = -19.17 + 0.17. Sort 0.1, 2, r, x in ascending order.\nAnswer: r, x, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-39)\/a)\/a)\/(a**(-32)*a) assuming a is positive.\nAnswer: a**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 174*b - 35855. What is v(206)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 78853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9524431224 and 1?\nAnswer: 9524431223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*b = 802, -46*d - 4*b = -48*d + 1604. Let m = d + -791. Suppose 7*w - 2*w - 205 = 0. What is the remainder when w is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -587*z + 4583. What are the prime factors of n(-141)?\nAnswer: 2, 5, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a**2 + 2*a + 1 + a**2 - 8*a**2 - 5*a**2 + 97*a to q*a + c + z*a**2 and give q.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**2*r**2 - 55*c**2*r + 8532*c**2 - 4284167*c - 5*r**2 wrt c?\nAnswer: 12*r**2 - 110*r + 17064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 9) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3564) - (-2*sqrt(3564)*2 + sqrt(3564))) + (sqrt(3564) - sqrt(3564)*-1)*6 + sqrt(3564) + sqrt(3564))\/(-2*sqrt(64) - (sqrt(44)*1)\/sqrt(11)).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**6\/120 - 2*n**5\/15 + 3*n**4\/8 - n**3\/2 - 6*n**2 + n - 64. Let g(y) be the second derivative of v(y). What is g(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 981*q**3 - 253*q**3 - 243*q**3 - 245*q**3 - 237*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69188517 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -7. Suppose -5*f + 0*f = 0. Let u = -2 + f. Sort x, u, -3 in descending order.\nAnswer: u, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -41 - 145*q + 9*q**2 + q**2 + 1026. Let u(h) = 0*h**2 + 2*h**2 + 2 - h - h**2 + 1 - 2. Let k(a) = -g(a) + 5*u(a). Solve k(p) = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -0.3 (b) 4 (c) 1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.98004\nAnswer: 2.94012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1, 5\/4, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4306*m**5 + 844*m - 5 wrt m?\nAnswer: -86120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 10:30 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 3. Suppose 5*n = 180 - r. Suppose 20 + n = 4*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -24. Suppose -15 + q = -2*f. Solve -f = -i + 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3 - 6417*f**2 + 96496*f + 102912 = 0.\nAnswer: -6432, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 4*j + 9)*(-9 + 3 - 2)*(3 + 2 - 4).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**4 - 17588*q**3 - 4145996*q**2 + 4163588*q = 0.\nAnswer: -4147, -251, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*q = 2*m - 395, 4*q - 4 = 0. Suppose 10 = 5*d, 2*i - 4*d + 12 = 4*i. Suppose m = i*l + 3*l. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15162 is divided by 1674.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9138.258 kilometers to micrometers.\nAnswer: 9138258000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -936 - -1601. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + (-47 - -35) - 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 557974*b**2 + 171*b - 5643.\nAnswer: 1115948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**4\/5 + 18*c**3 + 414*c**2\/5 + 582*c\/5 + 252\/5.\nAnswer: 6*(c + 1)**2*(c + 6)*(c + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69356 by 1.\nAnswer: 69356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 438436 to the power of 1\/2, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2*d - 75 = 0. Let q = 19 + d. Let h be q\/14 + 66\/14. Solve h*v - 7 + 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1464*w + 405530. Give p(-277).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78505.78mg to micrograms.\nAnswer: 78505780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 1, c: 1}. Give prob of sequence ea.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9*14\/(-9))\/(-6)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h + 1. Let f(w) = 3*w - 2. Determine -3*f(g) - 4*k(g).\nAnswer: 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27362607 is divided by 810.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggggpppgp. Give prob of sequence pg.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 + -7.16. Let q = g - -4. Put 4, q, -0.3 in increasing order.\nAnswer: q, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 594210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-280)\/(-24) + -10)\/(5\/6). Let m be i\/(-9) - 178652\/(-9). What is m rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 11. Let b(q) = -2*q**2 - 3*q + 46. Calculate -2*b(n) + 9*u(n).\nAnswer: 4*n**2 - 3*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -46. Let z = -155 + 84. Let p = 162 + z. Calculate the greatest common factor of p and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 7*o - 7. Let t be z(3). Let s be t - -243*(-1)\/28. Let w = -80\/7 - s. Calculate the common denominator of w and 15\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 117*i**2 + 6*i - 3. Let x(g) = -2*g. Calculate w(x(d)).\nAnswer: 468*d**2 - 12*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1)\/c)*c**5)\/(c**(2\/3)*c*c**3) assuming c is positive.\nAnswer: c**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = 3*a - 12, 3*a - 9 = 0. Let w = 4.5165 - 0.5165. Let q = 920\/7 + -131. What is the closest to y in q, -1\/6, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100212051 (base 6) to base 10.\nAnswer: -1696927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 3*n + 290. Let t be w(-19). Let g(c) = -2*c**2 - 29*c - 24. Determine g(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -291*d**2 - 83*d + d**3 - 216*d + 300*d in the form f*d + u*d**3 + g*d**2 + k and give g.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*3\/((-9)\/2). Let u(z) = 80*z**2 - 2*z - 2. Let a be u(v). Let w be (-3)\/9 - a\/(-3). What is w rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttgggptptitpgrgi. Give prob of sequence rp.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.5 - 12.4. Let o = 2 - 1.5. Which is the closest to s? (a) o (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/15 - (408\/40 + -4) - -7. Suppose -8 = i - 5*i. Suppose 4 = -3*f - 5*c, 3*f - i*c + 0*c - 10 = 0. Solve -r = -s + f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11293 + 2?\nAnswer: 11295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44892 - -44906. Let p be (-2)\/5 + (-28)\/(-20). Suppose 0 = 3*j - 2*j + 3*w - 22, -p = -j + 4*w. Is j greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**3\/3 + 5*c**2 - 12*c + 8. What is the remainder when 35 is divided by o(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 - 9917 - 11*r**2 + 9914 - r + r**3 in the form g + t*r**2 + k*r + m*r**3 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 3 + 2 - 4. Let i be n(0). Let j be (-6)\/(-15) + (-13)\/i. Solve -b + 8 = -2*z, -4*z - j*b = -z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -10. Let a be -2 + (j\/3 - 1). Let k = 29.573 + -29.673. What is the third smallest value in -2, a, -4, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 1911*w + 11574.\nAnswer: -3*(w - 643)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 2 + 8*a + 0*a**2 + 3 - 3 as t + q*a**2 + g*a and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/99 and -1\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**3 + 3116 - 3116.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 571847568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b72 (base 14) to base 9.\nAnswer: -3076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21140301 - -1400?\nAnswer: -21133401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 64 + 68. Solve -r + f*r - 19 = 2*w, -r = 3*w + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sslkslksssslllsls. Give prob of picking 2 l and 1 s.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4074, 4, -38, -5.\nAnswer: -4074, -38, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**3 - 5*n**2 + 2*n - 2. Let h(a) = -8*a**3 - 10*a**2 + 3*a - 3. Calculate 7*f(w) - 4*h(w).\nAnswer: 4*w**3 + 5*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 477 + 1517 - 494 - 546.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8071 and -0.15.\nAnswer: -1210.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.2 (c) 2\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqpg when four letters picked without replacement from {q: 2, j: 1, p: 4, g: 7, h: 1}.\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x*x**3)\/((((x\/(x*x**1\/x))\/x)\/x)\/x**(4\/3)) assuming x is positive.\nAnswer: x**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/546)\/((-3)\/21)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1364*c + 125. Let s(x) = 1364*x - 167. Determine -4*g(v) - 3*s(v).\nAnswer: 1364*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -61*b + 217. What is the hundreds digit of y(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -116390900 to the nearest one hundred thousand.\nAnswer: -116400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 1:36 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5963285?\nAnswer: 5, 127, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38957.14l?\nAnswer: 38957140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1105 - 2177?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4*n - 7*n)*(-12*n**4 - 90*n**2 + 90*n**2 - 3*n**4 + 2*n**4 + 2*n**4 + (n**3 + n**2 - n**2)*(0*n + 2*n - n)).\nAnswer: 20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 95. Let l(z) = -2*z - 32. Let m be l(-17). Put -10, m, r in increasing order.\nAnswer: -10, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04273 times 852\nAnswer: 36.40596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6 - 4 - y - 2 - 3. Let l be f(-6). Suppose -3*s - 14 + 5 = 0, -l*w + 2*s + 705 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29105571?\nAnswer: 3, 11, 881987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3050, 6077, 9106, 12137, 15170, 18205?\n\"Answer: f**2 + 3024*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -59*j**2 - j. Calculate d(1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 3*x - 5. Let n(m) = -1. Suppose -4*b - b = 4*c - 10, -3*c + 13 = b. Let p(v) = c*n(v) - f(v). Let r be p(3). Solve -a + 2 + 1 = r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 12*s - 19. Let u be l(-8). Suppose -2*p = m - u, p + 5*m + 0 = 11. Solve 0 = -3*j + 6*j + p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (261\/108 + (-13)\/78)*88\/66. Suppose 35\/2*p**2 + 15\/4*p - 5\/2*p**l - 25\/4*p**4 - 5\/4*p**5 - 45\/4 = 0. Calculate p.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-91)\/42)\/13*-3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26970011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 60, 2, -13, -33, -2 in decreasing order.\nAnswer: 60, 2, 1, -2, -13, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 9:10 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 20 = -4*c + 2*y, 0 = c + 4*y + 14. Let v be 6\/1*c\/9. Let t be v\/(-8)*(-16)\/(-2). Solve -3*h = t*f + 16, 2*f + h - 14 = 5*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 18*k. Let z be l(-9). Suppose 111 = g - 2*b - 76, -2*g + 3*b + 377 = z. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10512354 (base 6) to base 7\nAnswer: -2503642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -o + 3*s, 16*o - 5 = 21*o - 3*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 10*q - q + 3*q + 0*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-5)\/(-2) - 1 - 2). Let d be n*6\/(-60)*-5. Solve -d + 4 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 3, 179461?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210210100 - 2110200?\nAnswer: 2201022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 4997073 and 4997069 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 4, 3 in increasing order.\nAnswer: -2, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, 23, -5 in descending order.\nAnswer: 23, 4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-2) - (-11 + 10)\/((-8)\/(-112)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 140?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 12 + (-22 - -10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46040091*r**3 + 17803697*r**2 wrt r.\nAnswer: 276240546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + sqrt(500) + -1 + -5 + 2)**2*2.\nAnswer: -320*sqrt(5) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 1, 29, 4, 0.06, -21.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -0.3 (c) -4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8464)\/(-18) + (-4)\/18. What is the tens digit of m - 4 - (-2 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*b = -25, 2*b + 12 = -b. Let i = -9 + m. Let o be 448\/i + 2\/6. Calculate the greatest common factor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-18)*6*-57. Do -4 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 1 - 9. Solve d*g - 1 = 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2414 - -2413.5. What is the second biggest value in -67\/4, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times 6569?\nAnswer: -269329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3128912393?\nAnswer: 3128912393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, t: 1, g: 2}. Give prob of picking 1 t and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 28 (b) -7 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37523, -74889, -112229, -149537, -186807, -224033, -261209, -298329?\nAnswer: -335387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22883 and 3.\nAnswer: 22886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = -10. Let x(p) be the second derivative of p**3\/6 - 2*p**2 + 6*p. Let j be x(7). Solve -2*s + 5 = y - c, 3*s - 12 = j*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*w + 4 = 2*g, w + 16 = 4*g. Suppose -g*m = 3*x + 16, 0 = m + m + 2. Which is the closest to 2\/7? (a) -2 (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -d + 2*a + 63, a = -4. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2*n + 16 = 0, -5*l = -244228*n + 244224*n + 71 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, -70.\nAnswer: -70, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.91 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 20 = -5*b, 4*c - 22 = -c + 3*b. Suppose -13 = -5*n + s, s - 3 - 4 = -5*n. Find the third derivative of -3*f**3 - f**3 + f**2 - c*f**n wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(68) - sqrt(68))*-4 + sqrt(68))*4.\nAnswer: 32 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 9*r - 149. What is o(-10)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5065 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 - -72. Let k = m - -41.122. Let h = k - 1.262. What is h rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 557 + -15?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**7\/350 - m**6\/100 - 16*m**2. Suppose n(f) = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11738519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -13781879.\nAnswer: -1\/13781879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.058 - 0.258. What is the fourth smallest value in d, -5, -0.1, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 21*f + 18*f + 22 = 0, f = 2*k - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 13*q**3 + 3*q - 2. What is the least common multiple of 59\/5 - (-1)\/5 and b(1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*n**2 - n**3 + 15776798 - 15776798.\nAnswer: -n**3 - 43*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 209\/3 + -70. What is the nearest to 2 in -35, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110111101111101 (base 2) to base 4\nAnswer: 12331331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149444613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5524*k - 5534*k = 100 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/7, -4\/5, -14, 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1675 and 32352325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 871 and 215040319?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)\/(y\/(y**(-7)\/y*y)*y)*(y**(-2))**(-10\/7))\/(y**(-5)\/y*y*y*y*y*y**(-2)\/y*y*((((y*y**(1\/6))\/y)\/y)\/y*y)\/(y\/y**(-3))) assuming y is positive.\nAnswer: y**(-55\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 24.98. Let u = 0.08 + f. What is the second biggest value in 2\/5, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1044332423 - -3?\nAnswer: 1044332431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/2 - 2. Let h = -2 - s. Let m = 3.6 + -4. Which is the third smallest value? (a) h (b) m (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14899*u + 506565. Calculate r(34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-3*(-52)\/(-9)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/718 and 50\/359.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**3 + p**2 + p - 1. Let l be g(1). Let a = l + 6. Suppose a = 14*f - 8*f. Solve f*z + 4 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7031.\nAnswer: 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7179 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75347?\nAnswer: 75347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnjyqyjlqxjj. What is prob of picking 1 x, 1 y, and 2 q?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w + 5*o + 5412 = 0, 5*w = -5*o + 27210. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3425*t. Let q(l) = 24*l**2. Determine q(s(a)).\nAnswer: 281535000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2269*0.01521\nAnswer: -0.003451149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-5)\/c)*c**5)**(-1\/34)\/((c**(2\/17)\/c)\/c**(-3\/7))**31 assuming c is positive.\nAnswer: c**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 33 = -x, 5*x + 6*l = 2*l - 154. Let j = x + 5. Let r = 71 + j. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199600926 a multiple of 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.1, -5, -62?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -7, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + 7 - 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 29*s**2 - s + 44. Let i be f(-29). Suppose 5*d = -2*v + 43, 8*v = 6*v + d + i. What is the remainder when 199 is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/(-6) + (-5)\/(-15). Suppose f - 4*b = -f - 16, 2*f - r = -2*b. Solve f*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -445153 (base 6) to base 9\nAnswer: -56316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**5\/10 - 26*b**4\/3 + 221*b**3\/3 - 168*b**2 + 4188*b. Suppose l(d) = 0. Calculate d.\nAnswer: -56, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -425*j**5 + 14015*j**4 - 126320*j**3 + 201020*j**2 + 1038400*j + 24320 = 0.\nAnswer: -2, -2\/85, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b + 17 = 5*k, -3*b + k = -11. Let i(o) be the third derivative of -o**6\/120 + o**5\/15 + o**4\/8 - o**3\/6 + o**2 - 72. Calculate i(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2443*l*v**2 + 15*l*v - 3*l - 22*v**2 + v + 797 wrt l.\nAnswer: 2443*v**2 + 15*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 13*t**3 - 13*t**2 + 2*t + 42. Let n(d) = -7*d**3 + 7*d**2 - d - 21. Let h(b) = -6*j(b) - 11*n(b). Let f(q) = -2*q**2 + 6*q. Let s be f(3). Give h(s).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**44 assuming v is positive.\nAnswer: v**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.053 + 483.053. Let n = g + -497.94. Let s = n + 15. Round s to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 = -x. Let v = 554 + -552. Suppose 0 = -5*b + v*s + 342, 0*b = 3*b - 5*s - 190. Calculate the smallest common multiple of b and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6159716 - -4090284. What is w rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20764 is divided by 6852?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n - 3*n**3 - 5*n - 5*n wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -5\/6*x**4 + 1\/12*x**5 + 111 - x**2 - 10*x**3 + 0*x. Solve p(m) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (-37 - 22) - -51\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 12428304.\nAnswer: 62141520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*z - 202*z + 416*z.\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(63)\/(sqrt(9) + sqrt(72)\/sqrt(8)) + 0.\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -36*f - 2615. Let m(o) = 7*o + 522. Give -11*m(r) - 2*u(r).\nAnswer: -5*r - 512","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - p + 0 - p + 5*p - 2*p + (1 - 1 + 2*p)*(-6 + 2 + 2) + (6 - 2 - 1)*(-2*p - p - 4*p) + 0*p - 3*p + 5*p.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17876900 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*j - 5 = 1, -5*u + 13 = -3*j. Find the second derivative of -u*d - 24*d**2 - 4*d**5 + 24*d**2 wrt d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -3\/2 (b) 4 (c) 4\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v + 9. Let m be a(3). Is m <= -38\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 22830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/(-140))\/(6\/8). What is the nearest to -3 in 1\/3, y, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from {u: 1, o: 2, f: 2, v: 4, d: 6, x: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -75\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 789 + -789. Let p(a) be the third derivative of d*a + 2\/21*a**3 + 0 - 1\/210*a**5 - 1\/84*a**4 - 5*a**2. Suppose p(n) = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66154249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 11:55 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3981823352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 2*a + 4*q + 160, -3*q = 6. Let c(d) be the first derivative of 0*d - 3\/2*d**2 - a. Let j(g) = -7*g**2. Calculate c(j(y)).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 4 - 7 + 0*d - 4.\nAnswer: -2*d - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4905253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-78)\/16 - 86\/688. Let l(d) = 2*d + 7. Let f(j) = -2*j - 7. Suppose 11 = -6*i - 25. Determine b*l(n) + i*f(n).\nAnswer: 2*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*p**4 - 51*p**4 - 1 + 12*p**2 + 17*p**4 + 2*p**3 - 2*p + 15*p**4 in the form i*p**4 + o + k*p**2 + q*p**3 + l*p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-5\/9)*i\/(i*i*i\/i**1*i)*(i**3\/i)\/i)\/(i**(-8)*i**(-9))**(-12) assuming i is positive.\nAnswer: i**(-205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18741, 19428, 20115, 20802?\nAnswer: 21489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 + 22*y**2 + 120*y - 52. Let k be m(15). Is -62 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27 (b) -3 (c) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4\/3 (c) 43.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*710\/(-142)*12\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 255 - 151. Suppose -p = a + 3*a. Calculate the remainder when 1 + 0 - (a - 1) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -62.2039?\nAnswer: 311.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = 4*g + 2, 5*g + 2*b - 16 = 0. Suppose 2*z - 16 = -g*z. Suppose 22 = y + 4*k, z*y - 78 = -2*k - 18. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 27346*f**3 - 13670*f**3 + f - 13674*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*r - 6, 3 = -5*r - i - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14240 + 14240.8681. Let s = j - 0.87. What is s rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.6 - -3.5. Let o = -1.1 - j. Let w = o + -3.0000043. What is w rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1415.14 to the nearest ten.\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-7)*n)*(n*n**(-2\/11))\/n)**(-32) assuming n is positive.\nAnswer: n**(2880\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 - -343. Suppose 2*m = 20 + l. What is the least common multiple of 12 and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + b - 1. Let t be g(1). Suppose 0 = 5*x - t - 33. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkff when four letters picked without replacement from fhahfaffrfhhhfhkhf.\nAnswer: 49\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 464\/5, 4, 2, -2.1721?\nAnswer: 464\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:43 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -72, 28, 194, 426?\n\"Answer: 33*t**2 + t - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00580693 to 4 dps.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001309795 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5745485 months in millennia?\nAnswer: 0.000131212375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11 - 1 = 0. Let y(c) = 6*c**2 - 40. Let d be y(-14). What is the remainder when d\/52 - (-16)\/104 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*s**3 + 4*s**2 - 6*s**2 + 7*s**3 - 12*s + 0*s**3 to the form k + c*s**2 + w*s + m*s**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(190)\/(sqrt(20)\/(sqrt(2)*1)) + (3*((sqrt(228)*3 + sqrt(228))\/sqrt(12) + -4))**2.\nAnswer: -287*sqrt(19) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439006.9 millennia in months?\nAnswer: 5268082800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m - 387 = -21*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656856 is divided by 19902.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 3. Determine p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16.85 (b) 461 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -248775 and -8239591.\nAnswer: -8488366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832137?\nAnswer: 3, 103, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(6\/32) + 1. What is the tens digit of ((-96)\/15)\/(6\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2180 - -2178. Which is the closest to 5? (a) 6 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 14*y - 18. Let g be d(10). Solve -u = 5*z + g, 0 = -4*u - 3*z + 7*z + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683592583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5078, 5537, 5996?\nAnswer: 6455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 20 = u. Suppose -12 = -4*g - 4. Let v(n) = -n**3 - 2*n**2 - 112*n - 814. Let i be v(-6). Solve h = -u*s - 19, -g*s = -s - i*h - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 47*u**2 + 45*u**2 + 41*u**2 - 2 - 129*u**2 - 19*u**3 to y*u**3 + w*u + j + b*u**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-105) + (-8)\/(-20).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/4 + 3*w - 384. Let z(c) = 406*c**2 - 3. Give z(v(r)).\nAnswer: 3654*r**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 5*q**2 - 19*q - 16. Let g be o(-7). Calculate the highest common factor of g and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -3*x**8\/4 - 5*x**4\/6 - 42*x. What is the third derivative of o(g) wrt g?\nAnswer: -5040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 15521?\nAnswer: 15506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 212681 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.5 - -20.5. Let c = -1175.4384 + 1193.438437. Let q = b - c. What is q rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 70. Let p be f(16). Suppose 0 = -23*v + p + 6. Put v, -51, -4 in descending order.\nAnswer: v, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**7\/21 + 2*n**6\/15 - n**4\/3 - n**3\/3 + 16*n. What is m in g(m) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1391)\/130 - -11)\/((-26)\/(-8) - 4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = 2*u + 5*h, -3*h = -3. Let y(t) = 11*t + 2. Let x be y(-1). Let o be (1\/x)\/(2\/(-18)). Solve u = w + 1, -c - 5 = 4*w - o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5 + 5. Suppose x = 4*q + 5*w - 79, -4*q + w = -43 - 18. Let g be ((-9)\/(-6))\/(2\/4). Solve q = m + g*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 7*o**3 + 6*o**3 - o**4 - 2*o + o**2 as a*o**2 + g*o + d + u*o**3 + k*o**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*m + 1135 = 372 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135799691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -980 - 226. Let u = 1836 + b. Is u a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x + x)*(-x**2 + 2*x - 2*x) - 2*x**3 - 2*x**3 - 3*x**3 - 13*x**3 + 21*x**3 + 27*x**3.\nAnswer: 27*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8011 and -786293.\nAnswer: -794304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 1. Let o(y) = 8*y + 4. Let b(q) = -4*h(q) - o(q). Let j be (9\/(-18))\/(2\/4). Is b(j) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.2045 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from {z: 1, f: 1, k: 2, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34523 is divided by 123.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(sqrt(80) + 0 + -2 - -1*2*sqrt(80)).\nAnswer: -7 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 2. Calculate the remainder when 63 is divided by d(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 623 divide 6796546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105348*h**3 + 4*h**2 - 105414*h**3 - 2*h**4 - 3*h + 5*h to j + p*h**4 + a*h**2 + x*h**3 + u*h and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(63)\/(sqrt(729)*-3 - sqrt(9))*5 + -1.\nAnswer: -5*sqrt(7)\/28 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101284 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -126413 - 26026?\nAnswer: -155442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*l, 0*l - 4*l = 4*n - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m*w*z**2 + 2*m*w*z + 105*m*z**2 + m*z - w*z**2 - 3*w*z + 2*z**2 + 24 wrt z?\nAnswer: 8*m*w + 210*m - 2*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5797572 + 3\nAnswer: 5797575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17663, 17443, 17133, 16781, 16435, 16143?\nAnswer: 15953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + -2*(-3 - 1). Suppose 2*d + 3*v = -39, x*d = -4*v - 15 - 44. Let q = 87 + d. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*(1 + 2)*3. Let j be t\/14 - (-3)\/2. Suppose -2*z = -j, 5*x + z = 3*z + 164. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 546, 556, 570, 588, 610, 636?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 537 and -11971.\nAnswer: -6428427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*r + n - 16, 0 = -r - 2*n + 11. Let i be (13\/r)\/(4\/12). Solve -5*g - 7 - i = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 7084 = q. Suppose -2*k = 3*z + 3*k - 791, q = 4*z - 4*k. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*n = -59*n - 8. What is the third derivative of 16*x**3 + 0*x + 94*x**2 - 2*x**n + 7*x - 7*x wrt x?\nAnswer: -48*x + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10082 - 2 - (-4)\/(-4)*3\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - w - 66 = -2*w, 4*w = 12. Suppose 2*r - i = -4*i + m, -4*r + 72 = -4*i. Calculate the greatest common divisor of r and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107586 - 577?\nAnswer: -108274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.177 and 1?\nAnswer: -0.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -67. Let z = 11006 - 11005. Which is the closest to w? (a) 0 (b) 1\/4 (c) z (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**2. Let w(p) be the first derivative of p**3 + 30. Calculate l(w(t)).\nAnswer: -45*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*3*(-4)\/(-18). Let w be 5\/h + 15\/10. Let i be (w\/(-2))\/(2\/(-1200000)). What is i rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*(-1)\/(-3)*(-2295)\/13005*51\/(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + u = 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1b5259 (base 12) to base 7\nAnswer: -4062456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/120 - 343*u**5\/15 - 1625*u**4\/24 + 6*u**2 - 55. What is the second derivative of y(h) wrt h?\nAnswer: 6*h - 2744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 25208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 392531 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 324, 457, 590?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2976*y**3 - 1900*y**2 + 2*y.\nAnswer: -17856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -644620 - -1?\nAnswer: -644619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 12*y**2 + 2. Suppose 0 = d + h - 13, -4*d - 3*h = 8 - 59. Calculate the least common multiple of 3 and p(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8718634?\nAnswer: 2, 4359317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 20. Let u = m + 19. Let x = -8.4 - u. Which is the third biggest value? (a) 1\/7 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 4, -153, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 308*i + 6 - i**2 - 624*i + 312*i. Let n be v(-5). Calculate the remainder when n - (((-8)\/(-2) - 3) + -71) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = s. Let a(f) = 5*f + 24. Let r be a(s). Calculate the common denominator of -69\/2 and 2\/12 - r\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 4726 = 20*i - 2*a, -2*a = 3*i - 2826. List the prime factors of i.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151354312*i*v**2 + 140*i*v + 1285496*i wrt v.\nAnswer: -302708624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + 2 - (-2*sqrt(2) + -4)) + 2 + 5 + (-1 + sqrt(162))**2*3.\nAnswer: -51*sqrt(2) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 35 = -5*a, -2*l + 18 = 2*l + a. Suppose 3*c = -3*x - 8 + 38, -l*c + 2*x = -22. Suppose -c = -0*b + 2*b. Which is bigger: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5403744*-5.\nAnswer: -27018720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 142\/5, 2\/7, 7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + c**3 - 6 + 6*c in the form y + j*c**2 + n*c**3 + h*c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 134?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 0*u + 3*u. Let r(y) = 118*y - 254*y + 134*y. Calculate r(x(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -68556 divided by 591?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*c + 25. Let f(n) = 7*n**2 + 12*n + 55. Is f(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 5 + 3)*(2 + 0 + 0) + 1 + 4 - 4)*(2*s - 2*s + 3*s) as u + w*s and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(272) - -2*sqrt(272)*1 - 3*(sqrt(272) + -2)) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2378 less than or equal to -2377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 17, 13, -3, -37, -95, -183, -307?\n\"Answer: -s**3 + 3*s**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4\/5 - 8816*a**3\/5 + 15912*a**2 - 238896*a\/5 + 239004\/5.\nAnswer: -4*(a - 3)**3*(a + 2213)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-6)*17\/(2499\/(-14)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aua when three letters picked without replacement from {t: 1, u: 4, a: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/356190 and 89\/16?\nAnswer: 2849520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1318*y - 319*y - 725*y - 202*y)*(3*y**3 - 3*y**3 + 2*y**3)*(1 + 1 - 1) as d*y**3 + k*y**2 + h*y + u*y**4 + n and give u.\nAnswer: -5128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/52225 and 61\/450.\nAnswer: 940050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -23. Solve 4*v + 2*k - 8 = -x*k, 3*v - k - 14 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 46528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19431 + -4.\nAnswer: -19435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 3*l**3 + 2*l**3)*((31 - 10 + 6)*(1 - 1 - 2) - 3 + 3 + 2) + (l**2 - 5*l**2 + 3*l**2)*(-5*l + 5*l + 12*l) - l**3 + 2*l**2 - 2*l**2.\nAnswer: 143*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -4, 2\/141, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1390 = 5*u + 5*a, -558 = 2*u - 2*a + 3*a. Let j be u\/(-12)*9*1\/6. What is the highest common factor of j and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:32 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 251.031 + -0.031. Let z = j - 251.0000031. Round z to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**10)\/(q\/(q\/(q**(-7)\/q*q*q))))\/(q*(q\/q**(4\/9))\/q*q\/(q\/((q*q*q*q**10*q*q)\/q))*q) assuming q is positive.\nAnswer: q**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfgfaffffffgfaagfaf. Give prob of picking 2 a.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n - 2. Suppose -4*g - 2*a + 2 = 0, 2*g - 3*a + 4 = -5*a. Let t be d(g). Find the third derivative of -12 - t*c**4 - 5*c**2 + c**4 + 12 wrt c.\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/25)\/((-1)\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 10) to base 11\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*a = -3*a - 14, -3*h + 102 = 5*a. Suppose 0 = -x - h*x + 16380. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183?\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 8, -90\/7, -8\/11, -2 in increasing order.\nAnswer: -90\/7, -2, -8\/11, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*y**3 + 176*y**3 + 57*y - 57*y + 17 + 2*y**2 - 17.\nAnswer: -85*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(99))\/(sqrt(441)*-2)*-4.\nAnswer: -4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/120 - 13*k**5\/60 - k**4\/8 - 13*k**3\/2 - 11*k**2 - 2*k. Let t be u(-13). Which is bigger: -1\/41 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -15*v. Suppose 4*h + 2 = -2*b, 0 = 5*b + 25 - 0. Let q(k) be the first derivative of -10*k**2 + 2*k**h + 5*k**2 + 11 + 2*k**2. What is w(q(a))?\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/7))\/m)\/m**(-5)*(m*m**(2\/3))**(2\/133) assuming m is positive.\nAnswer: m**(1948\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7024314*j**2*l**2*s + 11*j*l**2*s - j*l**2 + 162*j*l - 282*l**2*s - 2*l*s + 2*l wrt j?\nAnswer: -14048628*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32292760 and 5640.\nAnswer: 96878280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 5*u**3\/3 - 5*u**2\/2 - 1001*u + 2. Let d(x) = 128*x. What is c(d(s))?\nAnswer: 1280*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 3*s - 3*s)*((-2 + 1 + 3)*(-2 + 2 - 2*s) - 28*s + 2*s - 6 + 7 + s - 2*s + 3*s).\nAnswer: -28*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 5*n**2 - 2*n. Let d be q(-4). Suppose -d = 5*k - 6*k. Let p = k + -14. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y + 311 = -34529. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (262 + 154 + 349)*(u + 0*u + 2 + 0) + 1 - 2*u - 1.\nAnswer: 763*u + 1530","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -8)*-2*(-2)\/6. What is the nearest to t in 3, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.02403 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 506 + -518. Let p(t) be the first derivative of t**4\/4 + t**3\/3 + t - 2. Let x be p(-2). Put x, -1, -1\/4, f in decreasing order.\nAnswer: -1\/4, -1, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49434 - x**2 - 5386 - 44048.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/3, 358, -2\/5, -1\/2, -23.\nAnswer: -23, -3, -1\/2, -2\/5, -1\/3, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100313 (base 4) in base 5?\nAnswer: 13304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2046 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34830.32 days in milliseconds?\nAnswer: 3009339648000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) -0.3 (c) 6 (d) -2 (e) -39 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -151 and 0.2?\nAnswer: -30.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/17)*l)\/(l\/l**(-4))*(l*(l**5*l*l*l)\/l)\/(l**(-4\/7)*l*l))**19)**(-3\/10) assuming l is positive.\nAnswer: l**(-23427\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 12. What is the closest to 2\/7 in -3, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1)*-1*9\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 12*o + b - 1, -3*o - b = -3. Let w(i) be the first derivative of -o - 1\/3*i**3 - 7\/6*i**2 - 2\/3*i. Factor w(g).\nAnswer: -(g + 2)*(3*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 2. Let z be d(6). Suppose 4*m - m + 2*w - 45 = 0, -4*w = -z*m + 60. Suppose m = i + 5*r, i - 5*r = -0*i - 5. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 258 - 256. Factor 14*h + h**2 - 6*h**a + 21*h.\nAnswer: -5*h*(h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000939034767 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:48 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 191972?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -347 (base 16) to base 2\nAnswer: -1101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56361*i**4 - 2*i**3 - 420922 with respect to i.\nAnswer: 225444*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 + 3.71. Let n = 3.6 - g. Which is the second biggest value? (a) 0.4 (b) -3\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 2\/57 (b) 62 (c) -344\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1170609806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 69.43.\nAnswer: -277.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9247881+-0.22\nAnswer: 9247880.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12259\/(-533) - ((-532)\/22 - 0).\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3163*l - 293 + 105 + 3343*l - 4*l**2 - 154 - 2.\nAnswer: -4*(l - 43)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.232 - -0.601. What is b rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let q(h) be the first derivative of 5*h**3\/3 - 6*h + 3. Let p(a) = -9*a**2 + 13. Let m(f) = -6*p(f) - 13*q(f). Calculate u(m(r)).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8200 = -994055*a + 993891*a for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 5*t + 9 = -6*u, -7*t = -2*u - 65 + 88 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 5. Let u be (j\/2)\/((-4)\/24). What is the derivative of -c**u + 6 + 3*c**3 - 4 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(255))\/sqrt(5) - (1*sqrt(357))\/sqrt(7))\/(-1*((sqrt(75) - (sqrt(75)*-3 - sqrt(75))) + sqrt(75))).\nAnswer: 2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 - u**2 + 2*u - 1. Let f be z(1). Let q be ((-42)\/9)\/(f\/6). Suppose h = -q + 2. Round h to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6))**(29\/5)\/((r\/r**(1\/22))\/r**(1\/12)) assuming r is positive.\nAnswer: r**(21\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 7. Let w be 60\/(-7) - 44\/(-77). Let c be o(w). Let l(f) = f**2 - f - 1. Let n be l(c). Is n < -10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 108*o - 329. Let j be k(3). Solve 5*v - 4 = -j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3 + sqrt(405) + (sqrt(405) - (sqrt(405)*-1*2 - sqrt(405))) + sqrt(405) + 1)*5)**2.\nAnswer: 10800*sqrt(5) + 364896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21747*z**3 + 720964*z wrt z?\nAnswer: 130482*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.73 and -25968.\nAnswer: -25967.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -1a03?\nAnswer: 1a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 150?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -1\/3, -0.08?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 0*u + 3 - 9 + 2*u.\nAnswer: 2*u - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 24966.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 600, 589, 578, 573, 580, 605, 654?\n\"Answer: t**3 - 6*t**2 + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1 - (sqrt(50) + (1*sqrt(550))\/sqrt(11)))*2.\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4132 is divided by 1032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7176 and 14326.\nAnswer: 3953976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 140 + 910?\nAnswer: a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1080*t = -56*t + 162448. Suppose -3*v = -70 - 62. What is the highest common divisor of v and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/20 + 3*z**4\/4 + 7*z**3\/6 - 21*z**2. Is s(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785*x + 6574*x + 82*x.\nAnswer: 5871*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(28\/12 - 2). Suppose v = -6*j - 0*j + 12. Which is the biggest value? (a) 0.01 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51\/211 or 0?\nAnswer: -51\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79.8 + 80. Let x = -22 - -27. Let n = -2 + 2.1. Put n, x, z in increasing order.\nAnswer: n, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptp when three letters picked without replacement from {b: 5, p: 5, t: 1}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (481 + 35 + 244)*(426*i + 43*i**2 - 426*i) to the form d*i**2 + u*i + q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - d = 10, b - 5*b - d = -14. Suppose 2*q = 3*w + 556, -5*q - 2*w + 1401 = -4*w. Suppose b*p - q = 35. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4386483 decades in months?\nAnswer: 52.637796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2122163152?\nAnswer: 2, 193, 229, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 3*j + 2. Let c be s(-5). Let q(l) = l**3 + 10*l**2 + 9*l - 5. Is 17 a factor of q(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/((-12)\/32*2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95.5 - 95.5. Let k = -3 - -1. Let u = 7\/26 + 3\/13. Which is the nearest to -3\/7? (a) u (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*297*(27\/18)\/((-36)\/16)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -51, -53?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/4518 and 127\/2790?\nAnswer: 700290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 17 = -g, 5*r - g - 19 = 0. Solve -r*x = -2*x - 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 3*h**2 + 2*h - 1. Calculate the lowest common multiple of 109 and n(3).\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*i - 70*i - 33*i + 2080 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35824 and 8956?\nAnswer: 35824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 584 and 14622484.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 1)*(-3730 - 9955 + 8617)*(0*d**2 - d**2 + 3*d**2) in the form z*d + g + y*d**2 and give y.\nAnswer: 30408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(13) - ((4*sqrt(104) - sqrt(104))\/sqrt(8))**2) + sqrt(13)).\nAnswer: -702 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70.95 + -71. What is the nearest to 2 in 0.2, o, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p. Let h be o(2). Let n = -29 + h. Let r = 14 + n. Solve 2*z + 5*u + 2 = 5, -3*z - r*u = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, i: 4, x: 1, u: 2, h: 4, a: 1}. Give prob of sequence huhc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (1 - -4) + (-3 - (-7 + 15))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -481406 - 365?\nAnswer: -481771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - 13) + -6)*(140\/1650)\/(-7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 52. Suppose 33 = -3*s - 4*b, 3*b = 3*s + 25 + 29. List the prime factors of o(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/19 - 210*k**4\/19 + 882*k**3\/19 + 1090*k**2\/19 = 0. Calculate k.\nAnswer: -109, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8836 (base 13) to base 4.\nAnswer: 10220131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 656 = 8*k. Round k to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u + 42*u = 54*u + 14. Factor 268\/11*w**3 - 256\/11 + 1600\/11*w - 1104\/11*w**2 - u*w**4.\nAnswer: -2*(w - 4)**3*(11*w - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/4)\/(1\/7). Let v be -4 - 4\/r*-15. Which is the third biggest value? (a) v (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -763 by -13540.\nAnswer: 763\/13540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -3 - (2 + -1). Suppose -4*a + 99 - 303 = 0. Let n be (-12)\/(-102) + -2 + (-300)\/a. Solve 5*k = 0, 0*p - d*p = n*k + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271220243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961516697.\nAnswer: 677, 1420261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 4*b**2 - 3*b - 2. Let y be g(-2). Let f = y + 0. Suppose -18 = 3*t - 9*t. Sort -5, t, f in descending order.\nAnswer: f, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-5) + 4*((-18)\/45 + 5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-18) - 14\/(-18). What is the hundreds digit of (-1*(t - 2))\/((-10)\/(-3290))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/972 and 28\/2187?\nAnswer: 8748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1292488 = 4*h, 5*h - 581396 = -3*k + 1034225. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 - 2*z**2 + 3*z + 4. Let u be g(-2). Let r be 1\/3 - u\/18. Sort 3, r, 5.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -24*o**2 + 70*o + 14. Give y(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 + 191.9999959. Round v to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1284 + -1283.9919. What is w rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66530.3*0.65\nAnswer: -43244.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**8\/672 + h**7\/1260 - h**5\/120 + h**4\/12 - 16*h**2 - 10*h - 2. Let b(t) be the third derivative of w(t). Calculate b(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1569.4 or 2\/2369?\nAnswer: -1569.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 3. Let q be ((-9)\/(-108))\/((-35)\/56). Which is the second smallest value? (a) q (b) -4 (c) v (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -4*h + 32. Let c be (4\/h - -1)\/(1\/6). Solve -2*z = 10, 0 = c*m + m + 4*z + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -444, -599, -756, -915, -1076, -1239?\n\"Answer: -g**2 - 152*g - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96249954 and 498?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2013775295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144386584 divided by 1760812.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a - n = 7, -8 = -4*a + 2*n. Suppose 0 = -a*z - 4*h + 244, -4 - 140 = -2*z + 2*h. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**4\/6 + x. Let y = 2 + 19. Let i(t) = 33*t**2 + y*t**2 - 45*t**2. Calculate i(w(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2024 and 29651600?\nAnswer: 29651600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.00969 and -24.\nAnswer: -24.00969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (-8 + 76) - -10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*v + 2 + 544*v + 546*v + 556*v - 2213*v.\nAnswer: -11*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/4 - 135*u**2\/2 + 7853*u\/4 - 1896 = 0.\nAnswer: 1, 32, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*i + 2*m = -201*i + 4, -1367 = -i - 1369*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 467 - 471 - (-1 + 0 + (4 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -218836.681 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or -6\/59?\nAnswer: -6\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaglhahxelha. Give prob of picking 3 a and 1 g.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.93 - -0.07. Let g = f - 15.3. Which is the third biggest value? (a) 1\/4 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 5*l**2 + 3*l + 4. Let g be q(4). Let j = 0.01 + -2.01. Let u = j + 1. Which is the nearest to g? (a) 4 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -115031, -918539, -3099491, -7346609, -14348615, -24794231, -39372179?\n\"Answer: -114787*h**3 + h - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5 + 0.5. Let p = j + 4.984. Round p to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 5*g - 9. Let d be s(-8). Suppose d = 4*w + w. Suppose 0 = -w*a + 6*a - 51. Solve -4*z = 3*l - 2*l + a, 0 = z - 3*l + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2760 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 8 = 4*u, 3*u - 6 + 2 = 5*p. Let a be (-2)\/4*p*-2 + 1. Factor -5 + 1 + 42*s + a*s**2 - 2 - 38*s.\nAnswer: 2*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3647.2 rounded to the nearest ten?\nAnswer: -3650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 1.5, 0.3, 0.28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a50 + -23?\nAnswer: -a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/((-28)\/(-70)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 16*v**3 + v**2 - 32 + 61 - 27 + 2*v + 0*v**3. Let o be z(-1). What are the prime factors of 34 + o\/(-9) + (-2)\/3?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 87 = -3. Let l be (-2 - -3)\/(-6*1\/(-168)). What is the greatest common factor of y and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - 669347\nAnswer: -669347.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o + 55*o - 40 = -244. Put o, 3, 0, 267 in descending order.\nAnswer: 267, 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/6, -6, 3, 3\/7 in ascending order.\nAnswer: -6, -1\/6, 3\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2. Let n(l) = 114*l**2 - 2. Give k(n(a)).\nAnswer: -25992*a**4 + 912*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -37*z - 286. Determine s(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 - 4*t. Let d(n) = -6*n**2 - 5*n. Let f(p) = -4*d(p) + 5*m(p). Let j(v) be the first derivative of -v**3\/3 + 4. Give f(j(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*c + 14*c + 16*c + 8*c + 13*c + 26*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40156776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 97*-1 + -2. Let t = 903 - 1733\/2. Calculate the common denominator of v\/(-20) - (-1 - -3) and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1 = -3*y, 8 = -2*y + 3*x - 23. Let s(v) = v**2 + 5*v - 22. Let t be s(y). Solve 5*l - 3*l = -t*q + 20, -25 = -3*l - 2*q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 11:59 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18 and 794.\nAnswer: 142.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1981528 is divided by 2897.\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 14 - 0. Let j(k) = 1 + h*k - 1. Let s(x) = 9*x. Calculate 5*j(i) - 8*s(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489618384?\nAnswer: 2, 43, 2165143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028 times -4?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 4*j + 15 = 0. What is the third derivative of 5*o**5 + 2*o**5 - 8*o**2 + 4*o**2 - 2*o**j wrt o?\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 5. Let w(v) = -33*v - 76. Let x be w(-19). Calculate the highest common divisor of x and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - b + 70 + 1348 = 0, -q + 3*b = -1406. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 446 - 318. Let f(r) = 5*r**3 - r**2. Let j be f(1). Suppose j*d = 8*d - h. Calculate the remainder when d is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.1258?\nAnswer: 0.05032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1\/2)))\/(u**(1\/3)*u*u))**31*u**1*u**(-1\/7)*(u\/(u*u**(1\/6)))\/u*u**(-6) assuming u is positive.\nAnswer: u**(-659\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 7 = -23. Let k(c) be the second derivative of 0 + 5\/24*c**4 - 1\/40*c**p - 1\/4*c**3 + c - 9\/4*c**2. Determine r so that k(r) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 4515?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2. Let a(b) be the first derivative of 15*b**2 + 83. Give a(h(t)).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*-1*(-4)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763425?\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 305, 1076, 2361, 4160, 6473, 9300?\n\"Answer: 257*n**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/11 and -3\/171622.\nAnswer: 171622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-6) - (-110)\/4. Suppose 0 = 5*o + 5*j - 10, -5*j = -o + s. Solve o = 3*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/(-12)*12\/(-5). Let h = 14 - q. Suppose -b + 3*b = h. Let m(n) = 5*n + 2. Let x(l) = -6*l - 3. Calculate b*x(f) + 4*m(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 1. Let w(t) = -4*t**2 - 24*t + 24. Let o(a) = 24*j(a) + w(a). Let u(f) = -2*f + f + 2*f + f. What is o(u(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2. Suppose 0 = -4*b + 4, 5*b = -2*k + b + 26. Suppose 10 = 4*s - 5*d, -2*s - s = -2*d - k. Let h(q) = 3*q - s*q + q. Calculate r(h(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 6*y + 15, -u + 2*y - 25 = 0. Let l = u + 35. Suppose -4*c - 4*z = -192, -l*c = -4*z - 141 - 59. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*b*h**4 - 14*b*h**2 - 906*b*h + b + 2*h**4 - 55498*h**3 + 72*h wrt h?\nAnswer: -528*b*h + 48*h - 332988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35157 - 11432. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-40)\/6)*(-10)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjsv when four letters picked without replacement from vcjsssjsskjkvcssksv?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42 - 47?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6680 - 6810. Sort -1\/7, b, -3, 3 in decreasing order.\nAnswer: 3, -1\/7, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743908 divided by -2?\nAnswer: -371954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from fggddfyddgg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-7))**(-2\/23) assuming t is positive.\nAnswer: t**(10\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/2 - 2074485*m + 4148973\/2.\nAnswer: -3*(m - 1)*(m + 1382991)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 127) + (-1411 - -1626).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c - 33. Give b(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 759 - 504. Calculate the remainder when b is divided by 89.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1504 divided by -1.\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*3*(-3 + -4 + sqrt(117)*-3 + sqrt(117) + -4)*4)**2.\nAnswer: -339264 - 76032*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20.5 and 14002.\nAnswer: 13981.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4194 by 6.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 15*w - 3*r = -9, -r + 3 = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164359537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -1.73571\nAnswer: -0.867855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 184564 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22881067 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1 - 4) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6895 and 3990?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u + 7. Calculate the remainder when x(-3) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 38 + 7*g + 69.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*u + 49*u + 150*u - 47*u + 132*u in the form c*u + t and give c.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + (-256)\/(-24). Suppose 2*t + 9 + y = 0. What are the prime factors of (-15)\/(-2)*(0 + (-72)\/t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19922, -19925, -19928, -19931, -19934, -19937?\n\"Answer: -3*u - 19919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44017569*n**3 + 55980086*n**2 wrt n.\nAnswer: -264105414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*o**5 + 0 - 3\/5*o**3 - 12\/5*o + 6\/5*o**4 - 4*o**2.\nAnswer: o*(o - 2)*(o + 1)**2*(o + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60616678 by 5.\nAnswer: 60616678\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 15017\nAnswer: 2\/15017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5 + 3075*b**4 + 24757*b**3 - 286607*b**2 - 345492*b + 604268 = 0. What is b?\nAnswer: -14, -2, 1, 7, 3083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h + 25 = 0. Let o = 9 + -3. Suppose -h*i - o*j + 105 = -j, 0 = -4*i - 3*j + 83. What is the lowest common multiple of i and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 5 - 2 + 2*d**3 + 2*d**2 - 2. Let p = 14 + -10. Let h(r) = -r**3 + 3*r**2 + 4*r - 2. Let j be h(p). Calculate v(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199 = -5*t - 1, -4*o = -0*o - 2*t + t - 2*t - 136 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) 5\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 13. Give c(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (936 + 843 + 635 + k)*(-3 - 3 + 4)*(-4 - 3 + 5) to a + l*k and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.8 (b) 13\/3 (c) 2\/11 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20532 divided by -348.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 4, -2, 1, -47 in descending order.\nAnswer: 8, 4, 1, -2, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3116090095 to the nearest integer?\nAnswer: 55822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3586\/(-489)*36\/(-22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 3\/2, -0.88, 0.13 in decreasing order.\nAnswer: 3\/2, 0.13, -0.06, -0.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -659*i**3 - 3*i**2 - 20*i - 39. What are the prime factors of x(-3)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.20038 - -0.10365. Let a = -0.092 - w. What is a rounded to 4 decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 7. Let a(g) = -g - 18. Let i be a(-8). What are the prime factors of k(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 83 - 95 = 0. Let y be (-13 + 11)*(z + (-3)\/(-3)). Calculate the remainder when ((-6)\/(-4) - y)*-18 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/9633 and 69\/104.\nAnswer: 77064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 11*o - 75. Let s be c(15). Let p = s + 345. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j + 50. Let h be z(-13). Does 28 divide 1051\/2 - h\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(v**4 + 3*v**4 + v**4) + v**4 - 2*v**4 + 2*v**4 + (-3*v + 5*v + 0*v)*(-4*v**3 + 4*v**3 - v**3) - 2*v**2 + 2*v**2 - v**4.\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5921\nAnswer: 5923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (517 - 72*a - 517)*(4*a**3 - 7*a**3 + 12 - 11).\nAnswer: 216*a**4 - 72*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.83 + 4. Let a = -192 + 192.13. Let n = a - i. What is n rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -43.9. Let t = 91 + -90.98. What is the closest to n in t, 2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5321578 divided by 281?\nAnswer: 18938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 458 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 17 + -2 + -19?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.016? (a) 0.4 (b) -5 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 199 + 4?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*y**4 - 7*y**5 + y - 56*y**4 - 10*y**2 + 5*y**2 + (-1 + 2*y**4 + 1)*(4 - 3*y - 4).\nAnswer: -13*y**5 + y**4 - 5*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4588 - -45881\/10. What is the nearest to 708 in y, -1\/3, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (68\/56 + 2)*315\/270. Let o = 37\/8 - -53\/8. Find a such that -15*a**5 + 99\/4*a**4 + o*a + q*a**3 - 93\/4*a**2 - 3\/2 = 0.\nAnswer: -1, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4016370040 - 0?\nAnswer: 4016370040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = 52 - 112 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-215325)\/(-77517))\/(175\/6)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Let x(v) = v**2 - 3*v - 16. Let a be x(-4). Suppose f*u = a + 32. Calculate the highest common factor of 55 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 6391, -2\/9, -30.94, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 76, -2\/7, 2, -2.26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-4)))\/f)\/f)**23\/((f\/f**(3\/7))\/(((f**(3\/4)*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(1265\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 0*q**3 - q**3 + 2*q**3 - 2*q**2 + 10*q - 18*q. Let v be d(-2). Which is smaller: 2\/629 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 25*c**4\/8 + 45*c**3 + 4*c**2 - 17*c. What is the hundreds digit of m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*505)\/(9\/18). Suppose -9*t - 4*c = -14*t + 2504, c = -4*t + r. Is t a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2521037?\nAnswer: 2521037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -21. Let u(c) = c**4 + 3*c**3 + c**2 + 3*c - 8. Let m(k) = -k**3 + 1. Let a(r) = l*u(r) - 30*m(r). What is s in a(s) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46, 78, 110, 142, 174?\n\"Answer: 32*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 - -6196a?\nAnswer: 61924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -1358.\nAnswer: 1357.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -5561834606393\nAnswer: 5561834606393.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -5207314 and 29.55.\nAnswer: -5207284.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43018*w**2 - 11 - 7 + 17 - 2*w.\nAnswer: 43018*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -36. Suppose 5*v = -20, k + 0*v - 11 = v. Let t(b) = 4*b**2 + k - 5*b + b - 4 + b. Let g(h) = -5*h**2 + 4*h - 4. Calculate f*g(j) + 4*t(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -38*d - 2239. Calculate the remainder when v(-63) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-66) - (171\/33 + -5)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1652111?\nAnswer: 17, 157, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**3 + 2*c**4 - 31*c**3 + 6*c + 35*c**3 + 13*c**2 to y*c**3 + n + b*c**4 + u*c**2 + j*c and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 88?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.0191275 rounded to zero dps?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3401 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44.3 - 385.3. Let g = j + 340.9998361. Round g to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 16*g - 5. Let v be b(5). Let x be v\/9 - 2\/6. Let m be 2\/x - 11\/(-4). Solve m*q = -c + 7, 0*q + 23 = -4*c + 5*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 875338 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3201112231 (base 4) to base 16\nAnswer: e15ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -5556.\nAnswer: -7\/5556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -124330 to the nearest 1000.\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -8, -28, -66, -128, -220?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.893473 litres to millilitres.\nAnswer: 893.473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 664, 1642, 3270, 5548, 8476, 12054?\nAnswer: 16282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 - -420. What is the remainder when j is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144301589?\nAnswer: 144301589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59149, -118039, -176929, -235819?\nAnswer: -294709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -773*c**4 + 523 - 154*c**4 - 193*c**4 with respect to c.\nAnswer: -4480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19117, 19116, 19117, 19120, 19125, 19132, 19141?\n\"Answer: m**2 - 4*m + 19120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 66*z - 7098. What is the smallest common multiple of v(119) and 432?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -41*c - 36*c + 76*c + 3 - 4. Let u be a(6). Which is greater: u or -8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*r - 2, 4*l - 4 - 2 = r. Suppose 0 = -5*s - 4 - 1. Let n = s + 3. Solve l*h = -8 + n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**3\/2 - 16605*u**2 + 2307867*u\/2 + 11731500 = 0?\nAnswer: -9, 79, 11000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {f: 4, h: 1, w: 2, u: 1, l: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/9*(-6)\/(-105)*1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (14\/6 - -6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 4*g + 1. Let y = -942 + 945. Let a(i) be the third derivative of -i**4\/24 + 7*i**2. Calculate y*a(d) + u(d).\nAnswer: d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 11:49 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4868661583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*f - 55*f = -75. Let j(w) = w**2 + 28*w + 100. Let p be j(f). Solve -8*l = -3*l - p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5 = y + 4*v, -4*y - 5*v = -45. Suppose 5*h + 26 = r, 3*h + 5 = -y*r - 5. Determine f, given that -2*f**2 + r - 2*f + 2 + 1 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -257*r - 3088. Let a be l(-12). Sort -1, 2, -2, a in increasing order.\nAnswer: a, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Suppose y*h - 4*i = -0*i + 10, -h - i + 8 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22896, -22895, -22894, -22893?\nAnswer: -22892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -361 + 363. Let h(d) = d**3 + 3*d**2 - 2*d - 4. Let b be h(-3). Suppose j = 3*k - 116, b*j = i*k - 33 - 51. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.1. Let r = 8.43 + -8.2. Let i = r - -0.01. Put y, 0, i in descending order.\nAnswer: i, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/45)*k)\/k)\/k**(-6\/11))**(-2) assuming k is positive.\nAnswer: k**(-584\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 6*j**2. Let v be 0 + 0 - (6 + -12). Let k be u(v). Is -2\/15 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 655.2 - 655.24. Sort 2, -2\/471, -2\/7, k, -0.5.\nAnswer: -0.5, -2\/7, k, -2\/471, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011010 - -11101100?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 162, 4, -5 in decreasing order.\nAnswer: 162, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**8\/21 - 5*h**4\/24 + 9*h**2. Find the second derivative of a(b) wrt b.\nAnswer: 320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/11 + 46670*x**3\/11 - 38174*x**2 + 1073026*x\/11 - 699780\/11 = 0. What is x?\nAnswer: 1, 3, 5, 23326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zllllllllllllll. Give prob of sequence lllz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51617690 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p + 0*p)*(-4 + 5 - 4)*(11172*p**2 - 10944*p**2 + 3*p - 2*p + 4*p).\nAnswer: 1368*p**4 + 30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 676052244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*d - 6*q - 870, -d + 6 = -37*q + 41*q - 44 for d.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -39*x**2 - 17*x - 15. Let m(w) = 58*w**2 + 26*w + 23. Let p(a) = 5*m(a) + 7*q(a). Let h be p(-2). Solve -5*g = 5*j + 16 - h, 3*j = 4*g - 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 398 and 625250?\nAnswer: 124424750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -975, -973, -971, -969, -967?\n\"Answer: 2*h - 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 + 69\/9. Let f(w) = w**2 - 8*w. Let r be f(z). Suppose -5*u = 2*l - 16, -10*u + 13*u - 3*l - 18 = 0. Solve r*v = -u*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*u - 2)*(-1 - 4 + 2)*(-48*u - 60*u + 4 + 123*u).\nAnswer: 90*u**2 + 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 9*p**2 - 9*p - 3. Let s be d(10). Suppose 990 = s*o - o. Is (o\/2 - 1)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5304*r**2 + 5304*r**2 + 125*r**4)*(3 - 1 - 1)*(3 + 1 + 6).\nAnswer: 1250*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24067 - 49*d**2 + 0*d + 3*d - 24067 + 4*d to the form b*d + h + v*d**2 and give v.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36861131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 38*q**2 + 23*q - 103. Let a be f(5). Calculate the highest common divisor of 222 and a.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1319, -7, 5, 1 in ascending order.\nAnswer: -7, -0.1319, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32707, -130825, -294355, -523297, -817651, -1177417, -1602595?\n\"Answer: -32706*z**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + 3. Suppose 0 = -4*d + 5*o + b, 2*d + 2*o = 4*d - 16. What is the smallest value in -0.3, 0.2, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 2:46 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 6*w + 2. Let c be (-4)\/12 + (-17)\/3. Let p be d(c). Suppose p*v = -v. Solve -4 = q - v*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 4. Let f be n(-2). Let h(g) = 2*g + 4. Let t be h(-4). What are the prime factors of -23*((f - t) + -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(26)\/sqrt(2)*3 + -1 + 2).\nAnswer: -15*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 10. Suppose 6 = 2*a - o - 7, 4*o - 32 = -4*a. Calculate the remainder when a is divided by ((-3)\/5)\/(1\/m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) -6 (c) 8 (d) -0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.185 + 0.135. Which is the second biggest value? (a) 0.1 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -488, -5 in ascending order.\nAnswer: -488, -5, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1065425323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**3 - 2*z**2 - 8*z + 4. Suppose 4*v - 72 = -4*v. Let w(r) = 3*r - 24. Let j be w(v). Does 9 divide u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -160, -1109, -3640, -8539, -16592, -28585, -45304, -67535?\n\"Answer: -131*i**3 - 5*i**2 - 17*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1945891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehehuhudppaup. What is prob of sequence hadh?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1582687.\nAnswer: 89, 17783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/146718 and -137\/7524.\nAnswer: 293436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14571002*v*y**3 - 679*v*y**2 - v*y + 22*v - 4*y**2 - 3*y wrt y?\nAnswer: -87426012*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1.02.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 11. Let k = -3 - 5. Let s be l(k). Calculate the highest common factor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, l: 3, f: 1, e: 2}. Give prob of picking 3 l and 1 h.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13346 is divided by 150?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)\/(sqrt(5) - sqrt(180))*-3)\/(-4*-5*sqrt(700) - sqrt(700)))**2.\nAnswer: 9\/180500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 4*v + 1. Let s be f(3). Let x(y) = y**2 - 5*y - 4. Let b(k) = -k. Let p(h) = 3*b(h) - x(h). Give p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14440241 (base 5) to base 16\nAnswer: 26030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j + 2*j**2 - 8*j + 3*j + j - 2. Suppose -5*v - 6 = 9. Determine g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 23. Let p be (-4)\/t + 38\/9. Calculate the greatest common factor of 16 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2949*l**3*r + 11048*l**3 - 234018328*l**2*r wrt l?\nAnswer: 17694*r + 66288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*q, -2*r - 3*q + 34 = -7*q. Let l(v) = 6*v - 7. Let a be l(7). What is the greatest common factor of r and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887369?\nAnswer: 7, 109, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1803*l**4 + 2742.\nAnswer: 7212*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 1 + 4*y - 3)*(-2*y - 7*y - 12*y).\nAnswer: -147*y**2 + 42*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = 9*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 145 (b) 2\/5 (c) 1 (d) 41610\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59.43 - -59.13. Let x = -0.6 + 1.1. Sort t, -5, x in decreasing order.\nAnswer: x, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 520 - 1777433\nAnswer: -1776913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-27)\/((-2700)\/40).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*32\/560)\/((-32)\/10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 + 9*u**2 + u + 6. Suppose 0 = 2*m + 2 - 8. Let r = -2 - -4. Let q(d) = -3*d**3 - 8*d**2 - d - 5. Let b(v) = m*q(v) + r*a(v). Give b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 times -6\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-4) - (-12 + -1). Suppose 0 = l*y - 10*y + 2. Suppose -3*r + 55 = y*r. Calculate the remainder when r is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (5 - 16)) + -8 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k - 2*k + (-2 + 2 + k)*(85 - 69 + 130).\nAnswer: 144*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1899*s = 1078*s - 4853*s - 306396 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11634916 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(1700)) + sqrt(51)\/(2*sqrt(27) + sqrt(3)) + (4 + sqrt(34)\/sqrt(2)*4 - (3 + -4 + sqrt(153))))**2.\nAnswer: -544*sqrt(17)\/7 + 1257777\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 29.5, -2\/3, 469, -0.3, 58?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.2466 + -7.4466. Let y = -14 + 8. What is the nearest to y in -2, 0, 0.3, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 + 33*k**2 - k + 19. Give j(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1206*n + 1. Let z(v) = -v**2. Determine d(z(y)).\nAnswer: 1206*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**4\/6 - d**2. Let f(w) = 58 + 2*w + 60 + 60 - 178. Calculate f(k(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25\/39 - 4\/13. Let z = -2\/15 - 1\/30. Let u = -4 + 6. What is the third smallest value in u, d, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43, -73, -103, -133, -163, -193?\n\"Answer: -30*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 2284185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -14. Let l(z) = -z - 5. Let p be l(-5). Suppose 2*m + 13 - 33 = p. Solve -v*a + a = m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 - 23. Suppose f = -0*j + 4*j. Suppose 0*b - 5*n + 11 = 4*b, -4*b + 4*n + j = 0. Solve v + b = 4*t, -t = 2*v - 2 + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26280042?\nAnswer: 2, 3, 577, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 7:39 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a5 - -15de?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 34*b + 64. Let h be j(15). Solve h*r - 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 18*f + 62 = 0. Put f, 159, 5, 4 in descending order.\nAnswer: 159, 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34744 + -34743. What is the nearest to l in 2\/5, 0.5, 0.06672?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2690 in 1, 0.0402, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 440.1716 centuries?\nAnswer: 4401.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2069267*x**3 + 143*x**2 - 19*x - 67 wrt x?\nAnswer: -12415602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + 3. Let f be 6 - (0 - -2 - u). Let b(v) = v**2 - 3*v - 1. What is the units digit of b(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -10234300420?\nAnswer: -10234300410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 18*a - 2. Let m(j) = -j**2 + 71791. Calculate m(d(y)).\nAnswer: -324*y**2 + 72*y + 71787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 6*h**2 + 0*h**2 + 3*h - 3*h + h**2 + (2*h + 4*h - 5*h)*(-3*h - 2*h + 3*h))*(13 - 1 - 2)*(6 + h - 6).\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 7*t + t)*(-t + 4*t - t**3 - 4*t + 6).\nAnswer: 6*t**4 + 6*t**2 - 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 - 7*i - 7. Let v(g) = 2*g**2 + 2*g + 2. Let y(a) = -6*r(a) - 21*v(a). Let p(w) = -695 + 695 - 16*w**2. Determine y(p(f)).\nAnswer: -1536*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 + 72 = 32*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4604 = -4*f - 2*h, 2296 = 2*f + 4*h. Let d = f - 419. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5926494 by 6.\nAnswer: -987749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.1611 to 2 dps.\nAnswer: -7.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 + 68*r**2 - 4. Let i be j(-34). Let p(g) = -19*g - 77. Let k be p(i). Let z(t) = 5*t**3 + t**2 + t + 1. What is z(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p + 31. Calculate a(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*z - 4*z + z)*(-21*z + 1 - 7*z + 37*z).\nAnswer: 126*z**2 + 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1226, -0.4, 2.9, 3.\nAnswer: -1226, -0.4, 2.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j**3 + 10*j**3 + 4*j**4)*(2*j + 2 - 2) - 30*j**5 + 18*j**5 + 21*j**5 + (-6*j**2 + 2*j**2 - j**2)*(0*j**3 - j**3 - j**3).\nAnswer: 27*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -27108*r - 271073. Give c(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (sqrt(48)\/(-1*sqrt(3)))\/(sqrt(392)*-1)).\nAnswer: -4 + sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1135310 (base 7) to base 14\nAnswer: 3a440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.07 + -2.07266. Round y to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 54, -22 in decreasing order.\nAnswer: 54, -3\/2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5241.328ng in tonnes?\nAnswer: 0.000000000005241328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 3*q - 14, 3*a + 17 + 5 = 4*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 + 2*z**2 - 5*z**2)*(4 - 2*z - 4) + (1 + 3 - 1)*(4*z - 5*z + 3*z)*(-2*z + 2*z - 2*z**2) in the form n*z**3 + w*z + x*z**2 + o and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 8*f - 16. Suppose 108 = -6*n - 3*n. What are the prime factors of v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 536532.\nAnswer: 1073064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 10*s - 80. Suppose -s*f + 1632 = -4*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -1367 (c) -1\/5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 8*s**2 + 8*s - 6. Let t = 6 - 15. Let d be m(t). Suppose -14 = -5*r + d*o + 119, -4*r - o = -103. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106733101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*y + 5*b, -3*b + 4*b = -y - 12. Let q be (2 + -3)\/((-2)\/y). Is (q - -1)*(-3 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19110.3894ns to days.\nAnswer: 0.0000000002211850625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*-2*sqrt(567))**2*2*-1.\nAnswer: -4082400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g + 35. Let i be q(6). Solve -3*h - 4 = -i*o - 0, 0 = -3*o + h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6*u - 15. Suppose -f - 3*r + u = 10, -3*f + 5*r = -35. Solve -y = -i - 3, 3*i = f*y - 0*i - 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 65 (c) 1\/4 (d) 1\/2 (e) 266 (f) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -611*b**3*k**2 - 640*b**3*k + b*k**2 - 2*b*k + 1718*k**2 + 265 wrt k.\nAnswer: -1222*b**3 + 2*b + 3436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184503 is divided by 601.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 274*j - 274*j - 15*j**2. Let r(b) = 3*b**2. Determine v(r(k)).\nAnswer: -135*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5450 + 395 = -2*n, -n + 2*j + 2552 = 0. What is the highest common divisor of 658 and n?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2 (c) 16 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-4 + 5 + 1)*(-q - q + 13 - 6).\nAnswer: 4*q - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 8. Let k be d(7). Let j(r) = r**3 - 9*r**2 + 2. Let o = 30 - 21. Let p be j(o). Solve p*z - 2 = k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1030)\/80 - -13)\/((-18)\/(-624))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -18*p**3 - 20*p + 1. Let o(i) = i**3 + 4*i. Calculate -5*o(f) - q(f).\nAnswer: 13*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/24 and -103\/1692.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/3, 0.106, 44, -55\/13?\nAnswer: 0.106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21044 or -21043?\nAnswer: -21044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27607 = 3250*x + 1331*x - 233510 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 12:25 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9\/2)\/(y*y*y*y**(-34)) assuming y is positive.\nAnswer: y**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 34*m + 37*m + 43*m - 114*m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.195 and -10248.\nAnswer: -1998.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 6.4 (c) -0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8689556 take away -2?\nAnswer: 8689558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 92 = 124. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) 22 (c) -0.5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 22711*l + 90860. What is p(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10989 and 18414.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*z - 36*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -50 - -1) + (11 - 35) + 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -15. Let z = -4 - t. Suppose 126 = z*l - l. Calculate the highest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128027351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 0 - 9 - 2*o**2 + 0*o**2 + o**2 - 8*o. Suppose -3*q + 12 + 21 = 0. Calculate the lowest common multiple of l(-6) and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b60 (base 13) to base 5\nAnswer: 200311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - 1653\/(-9). Suppose 3*w + w = g. Let j be (-2)\/(-8) + w\/8. What is the highest common factor of j and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(684) + 1 - sqrt(684)) + (sqrt(684) - sqrt(684)*1*1) + -5*(sqrt(684) + 2 + sqrt(684) + sqrt(684)) + -4*sqrt(684)*1)**2.\nAnswer: 2508*sqrt(19) + 247045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 147977 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5*(21 + -1). Let w(m) = 0*m**3 - f + 3 - m**3 + 3*m + 4*m**2. What is the lowest common multiple of w(4) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + a**4 - 10*a**4)*(2 + 1 - 9) + 2*a**4 + a**4 - 2*a**4 + 0*a - 73*a**3 - 3*a**4 + 70*a**3 + 2*a.\nAnswer: 64*a**4 - 3*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (99906\/8)\/(114\/(-80) + 207\/115)?\nAnswer: 2, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81 + 15 + 33)*(0 + 0 + j) + 15 - 15 - 18*j.\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 15. Let y be -78*((-495)\/(-10))\/(-11). What is the greatest common divisor of y and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -h. Suppose h*q = -3*q - 175. Does 4 divide (-231)\/q - 4\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55.07 - 52. Let p = 3.06871 - n. What is p rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**3 + 19*l**3 + 13*l**3)*(-1 + 2 - 2) to q*l**3 + c*l + s*l**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -878026.3122994.\nAnswer: -878025.9122994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666*x**2 + 328*x**2 + 332*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 11 (c) 2537 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 38*u + 2 - 10*u to q*u + y and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 388923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8602, 34394, 77366, 137500, 214778, 309182, 420694?\nAnswer: 549296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 + 4*p**3 - p**3)*(-2 + 5 + 0) + 2*p**3 + 1 - 1 + (2 + 0 + 1)*(-68*p**3 + 1057*p - 1057*p).\nAnswer: -205*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2187 + 910 + 2735)*(-2 + 2 + 2*m)*(m**4 - 3*m**4 + m**4).\nAnswer: -11664*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 11995905*p**2 + 7195104832275*p + 21585206533815.\nAnswer: 5*(p + 3)*(p + 1199589)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 4, v: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 697*f + 4883. Calculate w(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 12*x + 2. Let s be b(-12). Let h(y) = 2*y - y - 1 + 2*y - s*y. What is h(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26862732 and 168948.\nAnswer: 26862732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*q**2 + 454*q**2 - 184*q**2.\nAnswer: 421*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*p*v**3 + 26*n*p*v - 71995*n*v**3 + 24*p wrt p.\nAnswer: 2*n*v**3 + 26*n*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/203 + 6\/28. Which is the closest to 2.8? (a) 1\/7 (b) 3\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39848 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 - -88. Let p = l + 67.43. Let s = p - 0.4232. Round s to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1853238139?\nAnswer: 1853238139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (563\/2)\/(2\/12). Let f = z - 8471\/5. What is the common denominator of f and -99\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200899?\nAnswer: 200899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*f + 5*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3 - 82*t**2 - 68*t + 480 = 0.\nAnswer: -40, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*o, 1 = -k - 0*k + 5*o. Suppose -r + 5*m = 2*m - 68, 293 = k*r - 5*m. Does 36 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(u + 2*u - 5*u) + u - 1 + 1 + 110 - 110 - 41*u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:25 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 4. Let g(l) = -2*l**2 - 3. Let r(b) = -4*g(b) - 3*m(b). Let i(z) = 6*z. Calculate r(i(k)).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4\/13 - 22*r**3 + 298*r**2\/13 + 1446*r\/13 + 864\/13 = 0.\nAnswer: -144, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*(-2*1 + 25\/10). Let n = y + 21. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a6 + 6046?\nAnswer: 5c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*3524\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363 - 21*f + 883 - 442.\nAnswer: -21*f + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c**4 + 0*c**3 + c**2 + 0*c - 5 - 6\/5*c**5. Find the second derivative of t(h) wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129)\/10965*357*(-10)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2 - f + 12. Suppose 0 = -2*o - 5*b + 16, -b - 6 = 5*o - 0*b. Let d be 2\/o*0\/3. List the prime factors of l(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.878 - 28. Let t = r - -0.11. What is t rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skikksk. What is prob of sequence ks?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1352.\nAnswer: 5408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 9617.\nAnswer: 96170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by -7.\nAnswer: -108\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11013662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 174876 to the power of 1\/2, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -a + 4*i, -2*a + 3142*i = 3141*i + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 1)*-1*3*1 + 1 + (sqrt(272) - -1*sqrt(272)) + ((-1 + sqrt(272) + sqrt(272))*5)**2)*4.\nAnswer: -1616*sqrt(17) + 108892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -182*p + 200*p - 75 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19581993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -19, 7, -0.3, -880?\nAnswer: -880","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3421 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -5, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 949696656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1498 - 5621*l - 1498.\nAnswer: -5621*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1745 - -4114. Let z = -2368 + w. Let n(j) = -23*j**2 - j + 1. Let b be n(1). Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -88, -96, -104, -112?\n\"Answer: -8*d - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + 2. Let i be x(1). Let g be (i + -23 + 3)*(-2)\/8. Let h(w) = -7*w. Let d(y) = y. Let p(z) = 6*d(z) + h(z). Calculate p(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 + 213*w**2 - 2805*w - 3018. Calculate r(53).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -4. Let o be 1 + (j - (2 - 1)). Suppose o*z - 8 = -0*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1476 and 26035656.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Suppose -5*i - k*w + 474 = -7*w, 0 = -5*i + w + 478. Calculate the common denominator of 53\/6 and 42\/i*(3 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(60)\/(sqrt(12)*-1) - (sqrt(90)\/sqrt(3) + sqrt(30) + sqrt(30))\/sqrt(6)) - (2*(-4 + sqrt(5)) - sqrt(1080)\/sqrt(6)))**2.\nAnswer: -320*sqrt(5) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 15. Let v be n(13). Differentiate -137*z**v - 37*z**3 + 1 + 137*z**2 with respect to z.\nAnswer: -111*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*1 + (-16 - 3641\/(-330)). Let f(i) be the third derivative of -5\/6*i**3 + 0*i**4 + k*i**5 + 0*i + i**2 + 0. Differentiate f(b) with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -19*n**4\/2 + 10*n**3 + 4*n**2 + 78. What is j in p(j) = 0?\nAnswer: -4\/19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.13, 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 + 9 + -9. Let r = 1.1 + -0.1. Suppose 31*j - 23*j = 0. Which is the nearest to r? (a) 5 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 - 15*h + 196. What is the units digit of s(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207764602.\nAnswer: 2, 71, 883, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376526535.\nAnswer: 5, 19, 43, 317, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r + 1. Let w(q) = 7*q**2 + 16*q - 5. Let x = 12 + -18. Let k(v) = x*d(v) - w(v). What is the smallest common multiple of 6 and k(-7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5)*(-30)\/(-2). Let l = q + 22. Suppose 2*j - 13 = 3*i + l, -j + 42 = 4*i. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t - 17971 = -73779. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 5*d**2 - 4*d - 12. What are the prime factors of a(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17328 - 17328. What is the nearest to -0.3 in -1\/2, 0.2, g, 1.06?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 2. Let m be k(6). Suppose 14 = 5*y + 2*a - 24, -5*a = -m*y + 4. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20636952?\nAnswer: 2, 3, 7, 122839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 257 divided by -257\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216236 a multiple of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:57 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 26*p + 26. Let y be w(-12). Which is greater: 13 or y?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*l - 4 = 0, -f + 6*f - 3*l + 10 = 0. Is 10\/(4\/(-92)*f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.5 + -14.1. Let k = y + 2.8. Let x = -18 - k. Which is the closest to -1? (a) 2\/19 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 1696*m + 61440.\nAnswer: 4*(m + 40)*(m + 384)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1827 - 868 = 0. Suppose 0 = -4*s + 289 + m. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210033 divided by 563\nAnswer: 210033\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*139.5\nAnswer: -27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29200775?\nAnswer: 5, 1168031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y - 458 = -25*y + 316. Let w = -9.9 - -10. What is the biggest value in 5\/3, 0.4, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -26. Does 8 divide 2\/f - 605\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/2 - (13 - 92\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-98 + 127 - -99)\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 - -96.4. Round q to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(88))\/sqrt(8) - sqrt(99)*-2)*-5.\nAnswer: -35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*z = -30*z - 667. Calculate the remainder when 173 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 557*s + 2.\nAnswer: 557*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0080433743 to 5 decimal places.\nAnswer: 0.00804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.1 (b) -15 (c) -0.6 (d) 66 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-423)\/27)\/((-40)\/(-120))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 20. Let l be u(0). Suppose k - l = 3*k. Let r = 0 - k. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.01148 (c) -5834 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2773102, -11092349, -24957756, -44369323, -69327050?\nAnswer: -99830937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35994*v**5 - 616*v**4*z**2 - 48018*v**2*z**2 - 10*z**2 wrt v?\nAnswer: -2159640*v**2 - 14784*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-11)*((-60)\/9)\/(-10)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -953 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or -0.044800532?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Suppose 2*q = -d + 19, 34*q - 39*q + 2*d + 43 = 0. What is the remainder when q is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*t + 57. What is the hundreds digit of 2 + 7070\/25 + t\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82236028?\nAnswer: 2, 7, 19, 154579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.5 and 336.\nAnswer: 342.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 18*b + 48. Let a be i(-14). Let q be (11 - 14)\/(6\/a). Suppose 107997 = 5*x - 3*o, q*o - 5 = -o. What is x rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lledfwllwflwswf. What is prob of sequence dw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/4*20\/(-30). Let j be (0 + -1)\/(3\/4). Sort j, u, -6, -0.4.\nAnswer: -6, j, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/(40\/32).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(2\/7)*o)\/o))\/o*o*o**(2\/21)\/o*o assuming o is positive.\nAnswer: o**(17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddpddpppppp. Give prob of sequence pd.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7*(18\/63 + 2*-1) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s. Suppose -3*q = -7*q - 76. Let x = -26 - q. Let v(b) = -4*b. Let p(l) = x*m(l) - 5*v(l). Let c(f) = -f. Give c(p(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -9 + -7 + -11 + 20 + 18 + -53?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -51, -62, -55, -24, 37, 134?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**6\/360 + n**5\/120 + 4*n**3\/3 - 7. Let w(k) be the third derivative of y(k). Suppose w(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 14*l**2 + l + 15. Calculate q(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1510*z + 1306*z = -2757 - 711 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (-177)\/45)\/((-12)\/60). What is the third biggest value in z, -2\/5, 0.5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14807655.\nAnswer: 3, 5, 329059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1181 - 727. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53047829179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 5*u**2 - 7*u - 5. Let n(m) = m**3 - 7*m**2 + 6*m + 6. Let r be n(6). Determine g(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 2558799\/(-12)) + (-13)\/52. Let s = -130905 + i. Let c = 120672 + s. Round c to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1318 (b) 2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + 11*j + 16. Let n be z(-2). Calculate the remainder when (468\/21)\/(n\/28) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -443340431*w**3 + 2*w**2 - 18*w - 1182639 wrt w.\nAnswer: -2660042586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/3850 - 10\/55?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Let x(u) = u**3 - 5*u**2 + 2*u + 1. Let b be x(z). Let m = -6 + b. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 12\/(9 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*b, 3*s - 149*b - 1 = -154*b. Let c be 6\/(-9)*2154\/(-4). Suppose 0 = 5*q + 10, -c = 3*m + s*q - 1204. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -48331, -1, 3\/2?\nAnswer: -48331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*f**2 + 8 - 5 - 1 - 4 + 201*f**2.\nAnswer: 740*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -4, -2\/7, 45, -1\/3, 0.5, -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7688116.8999944 + -7688121. Let q = -4.1 - t. What is q rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7. Which is smaller: p or 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*v + 2*j, -3*v + 13 = 29*j - 24*j. What is the remainder when 1*(-6 + 3) + 54\/v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r + 4*r**2 - 5 + r**2 + 5 + (0*r + 0*r - r**2)*(5 - 4 - 3) + 2*r**2 + 3*r**2 - 3*r**2 - 6*r**2 + 14*r**2 - 2*r + 0*r**2.\nAnswer: 17*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -19*p**2 + 1. Let y(n) = -2387*n + 28. Calculate y(a(d)).\nAnswer: 45353*d**2 - 2359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t - 19. Let f be d(5). Let a = f + 91. Calculate the least common multiple of 48 and a.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 481 + -469.01. Let v = -12 + s. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 15. Let d be r(15). Solve 5*s + d*s + 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52404*-2074\nAnswer: 108685896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2208672 and -0.271713.\nAnswer: -2208672.271713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1393 or 1.8?\nAnswer: 1\/1393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 10 (c) 7 (d) 1 (e) -1\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 + 358 = 9*k - 3*k. Solve 11*d = 14*d - k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 8*y + 2. Let x be 6*(-2)\/(-12)*-5. Let d be r(x). Solve -d*g = -20*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2\/7 (c) -1\/9 (d) 350 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 534918, -3, 3, 4 in decreasing order.\nAnswer: 534918, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/60*(-22)\/(-33).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10279, -10274, -10267, -10258, -10247, -10234?\n\"Answer: j**2 + 2*j - 10282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295 - -289. Let c(b) = 13*b**2. Let u = 109 - 186. Let w(q) = -168*q**2. What is i*w(p) + u*c(p)?\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 27*b - 1\/180*b**6 + 1\/120*b**5 + 0 + 1\/6*b**4 + 0*b**2 + 0*b**3. Let v(q) be the third derivative of l(q). What is v(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68889423 to 2 dps.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 - 70*l - 600 = 0.\nAnswer: -60, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 26. Let u be t(-8). Is 6730\/15*(-3)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/16)\/((-12)\/32). Factor -3*f**2 - 13 + 0*f**n - 24 + 4 + 0*f**2 - 36*f.\nAnswer: -3*(f + 1)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**4 + 3*n**3 - 62*n**2 - 3*n + 1194?\nAnswer: 12*n**2 + 18*n - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75333733 to the nearest integer?\nAnswer: 8680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75126.933 seconds to weeks.\nAnswer: 0.1242178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, m: 9, f: 3}. What is prob of sequence mf?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.008 - -11.708. Let j = v + -11.7528. Round j to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 272*p - 270*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3505196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - a - 4 = a, -6 = 2*w + 3*a. Solve 5*h = -4*v + 6, -3*h + 5*v = -w*h + 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4122\/11 - 20599\/55. Which is the biggest value? (a) 2 (b) t (c) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 4, -128\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 436330481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*b + 177 = 67*b + 14*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305455, -307200, -310109, -314182, -319419, -325820?\nAnswer: -333385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncuqqclqqnurnuuqnq. Give prob of sequence llcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.02193m in nanometers?\nAnswer: 41021930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 7 = v, -r - 18 = 5*v - 5. Suppose 0 = -4*u - 0 + 4. Suppose 14 + u = -5*l. Sort l, v, 1 in ascending order.\nAnswer: l, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609892063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -4*f. Sort f, 4\/5, -4 in decreasing order.\nAnswer: 4\/5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(68) + -4*sqrt(68) - sqrt(68) - sqrt(68))*-2 + sqrt(68)))\/(sqrt(256)*3*-4))**2.\nAnswer: 2057\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 1. Let p be f(-4). Let m be -2*((3 - 2) + -2). Let z(q) = -16*q + 661. Let u be z(41). Solve u = -m*b + p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 547803 and 7101.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 375 - 3897 = 0. What are the prime factors of (w\/(-20))\/((-12)\/(-30))?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h + 2. Let o be c(0). Is (-3 + (-3651)\/(-6))*o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.1 - 7. Which is the closest to 1? (a) 4 (b) 4\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*d - 23 = -19, 3*d + 4 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/89?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-2)\/40*-2*(-12)\/(-8).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18621534, -37243086, -55864638, -74486190, -93107742?\n\"Answer: -18621552*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-106)\/(-212))\/((1\/(-3))\/(2\/3)). Put -4, 34, 3, 4, o in increasing order.\nAnswer: -4, o, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 1\/2 (c) 0 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -3*w**3 - 1\/4*w**4 + 3 + 10*w - 7\/2*w**2. Let d be v(-8). Solve 12 = 3*j, 0*j = -4*q - d*j + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 4354947.5?\nAnswer: 4354948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 20 = -6*j. Suppose 42*y - 46*y + 32 = 0. Suppose -y*r + 0 = 24. Sort j, r, 5.\nAnswer: r, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3*((-8)\/2 - -1393). Let r = 923\/2 + t. Which is the nearest to 0.1? (a) 3 (b) -5\/7 (c) r (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 567796*n - 567792*n - 11.\nAnswer: 4*n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*t, 2*l - 242*t + 241*t - 15 = 0. Suppose -1 = -2*c + 1. Solve -3*q = 4*o + 9, l*q - 5*o - c = 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e4e (base 16) to base 4.\nAnswer: -321032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00720099207 rounded to seven dps?\nAnswer: -0.007201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -22*j + 4. Let c be z(2). Let t = 14 - c. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 20311 = 72583. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225 (base 6) to base 15\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -587*d - 5. Let p be z(-15). What is p rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**4\/7 + 123980*n**3\/7 + 371958*n**2\/7 = 0.\nAnswer: -3, 0, 61993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/11 - 23\/66. What is the third biggest value in a, 4, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.18265 - 0.18265. Which is the nearest to -0.4? (a) y (b) -8 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1104.\nAnswer: 1\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)*d**(1\/10)*d**(-2)*d*d*d\/(d\/(d**(-1\/21)\/d))*d assuming d is positive.\nAnswer: d**(-1459\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/2266*(264\/154)\/3.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j - 373 = 87. Solve 0 = -f + 8*g + 41, 9*g - j*g - 7 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 14*x + 17. What is the least common multiple of 4 and p(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9733 - -9736. What is the biggest value in 2, -2\/7, y, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + -55 + 106 - (5 + -29)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16951865807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355 divided by -34956?\nAnswer: -785\/11652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 13*n + (-2*n + n - 3*n)*(2 - 2 + 3))*(0*n**3 - 3*n**3 + n**3).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9875660 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 61. What is the remainder when 110 is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/2 - 65*x\/2 - 102 = 0. What is x?\nAnswer: -3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**1\/j)\/j)**32*j**2*j\/(j\/((j*j**(8\/5))\/j*j*j*j)) assuming j is positive.\nAnswer: j**(193\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) 0.0831 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.88 + -7. Let g = 0.084 + l. What is g rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 385*s**6\/6 + 81*s**2\/2 - 7*s - 895. What is the second derivative of h(j) wrt j?\nAnswer: 7700*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -29, -46, -63?\n\"Answer: -17*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.826*29.\nAnswer: 574.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**2 + 2*s**2 + 7*s**2 + (-2*s - 2*s + 2*s)*(-2*s + 0 + 0).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 17*p - 15. Let z be v(-18). Suppose 6*b = i + 2*b - 168, z*i - 2*b = 534. Calculate the greatest common factor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:28 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i + 7186. Let w = -35887\/10 + i. Find the common denominator of w and -9\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - -147.4. Let s = -148.00109 + k. What is s rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6895)\/2275 + (-134)\/(-4355)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + 4 - (66 - 51)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 44, 3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -44*o**3 + 11*o - 338. Let i(g) = 9*g**3 - 2*g + 68. Let v(h) = -11*i(h) - 2*q(h). Differentiate v(t) wrt t.\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/89550 and 59\/210.\nAnswer: 626850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9034*p + 8 = 9030*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 59\/17589, 5, 20?\nAnswer: 59\/17589","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-3))\/((6\/9)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8552.5839 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*k - 5*p, 2*k = 4*p - 2*p. Suppose -5*d + u + 17 = -d, 5*u + 31 = 2*d. Sort k, 2, d in descending order.\nAnswer: k, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2428591?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 9. Let h(t) = t + 17. Give -6*h(r) + 11*m(r).\nAnswer: 5*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5 + 4*b**4 - 14*b**3 - 40*b**2 - 24*b = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -155543 (base 6) to base 13\nAnswer: -70c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-93)\/62)\/((-1)\/2). Suppose -4*g - 20 = 0, -2*n = -k*n - 5*g + 3238. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 - 107 = -75*g + 42 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 7*b**2 - 6*b + 1. Let q be p(6). Let r be ((-15)\/3)\/(5\/(-25)). Suppose -r*m - 86 = 39. Sort -4, q, m, 0 in increasing order.\nAnswer: m, -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 255100, -0.02, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**2 - 20*q - 5. Let x(o) = -8*o**2 - 21*o - 5. Let h(s) = 6*g(s) - 7*x(s). What is the remainder when 146 is divided by h(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20591, 20590, 20587, 20582, 20575, 20566, 20555?\n\"Answer: -z**2 + 2*z + 20590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 8118048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 976 - 976.4. Which is the closest to -0.1? (a) 5 (b) s (c) 0.68 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + -6. Let z = -7 - i. What is the second biggest value in z, 1\/4, 5\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320345?\nAnswer: 5, 464069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 106353223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 7*u**2 + 2*u + 7. Let z be q(-7). Let i = z - -13. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 33?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 48239 * -21\nAnswer: -1013019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 314869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53501991 = 2*y + 18*x - 21*x, 4*y = -x - 107004003. Round y to the nearest one hundred thousand.\nAnswer: -26800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*p + 10 = 4, 2*p = 8. Let h be 51998\/w + (-4)\/(-20). Suppose 2*y = -0*y + h. What is y rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/7 (b) -2\/73 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118652 (base 14) to base 8.\nAnswer: 2222620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 - 25*b - 9. Let f be z(-6). Is -1 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 9*d. What is d rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:53 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 175025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64742 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -278*u - 487. What is p(-2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 174\/21 + -4 - 4. What is the second smallest value in -2, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -593 + 597. Suppose -3816 = -3*z + q + 4*q, m*q + 3813 = 3*z. What are the prime factors of z?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467809 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: Divide 308 by -14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*q**3 - 3120270*q**2 + 394*q - 641137?\nAnswer: -228*q - 6240540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*93\/310?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012151 to 5 dps.\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 131209367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6064140, -6064136, -6064130, -6064122?\nAnswer: -6064112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 26*b**2 - 24*b.\nAnswer: -2*b*(b - 12)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, g: 5, e: 2}. What is prob of sequence ege?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6064 + 2380 = -3*k. Suppose k = -12*p + 4384. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 51, 59, 71, 87?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8310981 != -191152578\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2086 + -1455. Suppose -31 = -3*y - 4*s + 625, -4*s - 688 = -3*y. Let m = u - y. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12818 = -2134*t - 189*t + 98769 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (253405\/(-1718))\/(3*(-20)\/24).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 30*o**2 + 138*o - 5228. Calculate s(31).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 - 7*q + 1. Let a be f(-5). Let m(p) = -5*p - 70. Let x be m(-25). What is the greatest common divisor of a and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 190, -219 in descending order.\nAnswer: 190, -2, -5, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = z - 4*z + 3*a, -z + 25 = -2*a. Solve 10 = 5*l - z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 108596386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 245 = 493 - 221 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y = 49*y + 32*a - 188, -4*y - 2*a + 56 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -25, 16, -27, -1744 in descending order.\nAnswer: 16, 4, -25, -27, -1744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 - 775 + 1529 - 792 + 2*r**2 + 2*r**2 - 5*r**2 + (r**2 + 3*r - 3*r)*(0 + 0 - 2) - 2*r**2 + 1 - 1.\nAnswer: -6*r**2 - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66261*a**3 - 719573*a**3 - 739543*a**3.\nAnswer: -1525377*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.6, -3, 0.4, 55.9, -6, -2\/7.\nAnswer: -6, -3, -2\/7, 0.4, 6.6, 55.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7*i**4 - 1)*(-4 + 2 + 1 + (1 + 0 - 2 + (-3 - 2 + 3)*(1 + 1 - 3))*(3 - 2 - 3)).\nAnswer: 21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63312817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/11)\/((f\/f**(-2\/25))\/f*f*f))\/(f\/(f*f**(-2\/25)))**(-3\/26) assuming f is positive.\nAnswer: f**(-8053\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-2)))**(-3)*j**(-4)*j*j*j\/(j\/j**(-4\/7))*j*j assuming j is positive.\nAnswer: j**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 11. Let k be z(0). Let a = 13 - k. Let x be (-8*a\/(-4))\/(-1). Sort -0.2, -2, x.\nAnswer: x, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5103\/20396 - 1\/5099. Put g, -2\/13, 50\/7 in decreasing order.\nAnswer: 50\/7, g, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 57 - 179)*(-2*x - 1 + 1).\nAnswer: 308*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54.414 + 0.226. Let m = 52.19 - -2.81. Let r = m - g. What is r rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 4) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49\/9 - 340\/63. Let c = 0.04 - -0.96. Is c > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94350683.\nAnswer: 7, 13478669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2345.8 and -0.8.\nAnswer: 1876.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 24. Suppose j = 3*g + g. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 30*l**2 + 716*l + 333. Determine a(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/3, -31\/2, -1, -154, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 58. Let y be (69\/m - 1) + (-1)\/(-4). Suppose y*d = 10*d - 85. Is 16 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 20 and 47113 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(25 - (19 + 1800\/304))?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 + 4*b. Let t be o(-4). Let y = -54 - -44. Let l = t - y. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 2836 - 9351 - 2*r**2.\nAnswer: 2*r**2 - 6515","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-168)*-12*(-175)\/(-1950).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7941 (base 14) to base 5\nAnswer: -1133104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 at most as big as -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*y + 909 = 1923 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5199836437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a4854 (base 11) in base 10?\nAnswer: -796965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -656688 divided by 12?\nAnswer: -54724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2971\/7 + 422. Let i = j - -3. Let l = -0.2 - 3.8. Which is the nearest to 4? (a) i (b) 1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -16*x - 87. Calculate i(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/294646 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a + 37. Let p be f(-6). Find the common denominator of (p - 122\/(-12))*(-6)\/(-22) and -13\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*464\/87?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/4)\/((-4)\/8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 4:10 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 619 + -621. Put s, -1, -11 in ascending order.\nAnswer: -11, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-6)*-3*6682. Let b = t + -40117\/12. What is the common denominator of b and 67\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078 times -7.843?\nAnswer: -0.611754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9399 != 9359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -364 + 363. Are -5\/26 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.9 + 54. Let c = m + -16. Let s = 3 + -4. Sort s, c, 3 in ascending order.\nAnswer: s, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 9\/20*p**5 + 1\/4*p**4 + 0*p**2 - 7*p + 0*p**3 + 7 + 3\/10*p**6 + 1\/14*p**7. Factor l(i).\nAnswer: 3*i**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356 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: What is prob of picking 2 n and 2 b when four letters picked without replacement from {b: 4, f: 2, n: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28720 - -4?\nAnswer: -28716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370085.\nAnswer: 5, 74017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*a - 1543, 2*i - 35*a = -30*a + 1031. What is the remainder when i is divided by 126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3\/3 + 376*j**2 + 68888*j + 12166144\/3 = 0.\nAnswer: -218, -128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -11. Let c be (-2 - -12)\/(k + 6). Let a be 5\/c + 10\/4. Solve -8 = -2*h - a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 1. Let f(q) be the third derivative of -q**4\/24 + 51*q**2. Give 4*f(l) + 3*y(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 + -1.36. Let q = o + 0.16. Let g = 0.3 + 0.7. Which is the nearest to g? (a) -5 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 9. Let c(i) = -3*i - 8. What is -5*c(y) - 4*x(y)?\nAnswer: -y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19405 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 537248555 at most as big as 537248558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-13 + -10) - (1 - 2 - -16)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from szvulsy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91.7*174.\nAnswer: 15955.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1338 divide 181026235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 730232 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 + 590*a**2 - 216917*a + 645414 = 0. What is a?\nAnswer: -847, 3, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391135, 391131, 391127, 391123, 391119, 391115?\nAnswer: 391111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - ((-2 - 15) + (-35 - -49) - (-1 + -8)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**24)\/((y\/(y**(-3\/11)\/y)*y)\/y)*y**25*y\/(y\/y**(6\/11)))**(-28\/5) assuming y is positive.\nAnswer: y**(-84\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2 + 3*k**3 - 4*k**3 + 2*k**2 - 4*k**2 + 3*k**2. Let z be m(0). Is 0 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11221344 - -3?\nAnswer: -11221341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f + 205 = 5*w, -4*w = -5*f + 160. What is the remainder when f is divided by (15 + 1 - -3)\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Let z = 31\/264 - -11267\/1848. What is the common denominator of z and p - 2 - (-249)\/42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5 - 1552*c**4 + 25584*c**3 + 168532*c**2 - 25586*c - 166980 = 0. What is c?\nAnswer: -5, -1, 1, 22, 759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:00 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-2) - (6 - (25 - -5)). Suppose 2*q = 13*q - d. Solve -2*v - h + q = 0, 3*h - 5*h - 5 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221491, -886108, -1993811, -3544606, -5538499, -7975496, -10855603?\nAnswer: -14178826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 2*s - 44 + 25.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20301242 (base 5) to base 6.\nAnswer: -3315410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-6) + (-4 - -2). What is the smallest value in -4, j, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 68 = 60 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 437129*z - 437128.\nAnswer: -(z - 437128)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -214124, -428138, -642152, -856166?\n\"Answer: -214014*i - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(57)*-4 + sqrt(1425) + (sqrt(1425) - (1*sqrt(1425) - sqrt(1425) - sqrt(1425))) + sqrt(1425) + sqrt(1425))\/(1*6*sqrt(24)\/sqrt(8)))*-1.\nAnswer: -7*sqrt(19)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.2 (b) 13 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 12*c = 4*p + 34, 2*p - 8 = 0. Let u be 4\/c + (-7884)\/60. Is -132 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57908 and 2335.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 705\/11 in -0.3, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 5*j + 29. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -35. Let s = h + 11.9946. Round s to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -27*p**2 + 4178*p - 25085. Calculate v(6).\nAnswer: -989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - 0.9.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*q - 7 + 13 - 349.\nAnswer: -80*q - 343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 + 859*f**2 - 859*f**2.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 = 0, -s + 2 = -2*z + 4. Let y be (42\/(-12) - s)\/((-2)\/(-12)). Solve 7*p + 16 = y*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -278 - 1\/12*m**4 + 0*m - m**2 - 5\/9*m**3. Solve t(c) = 0 for c.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 8. Suppose 108 = -43*v - 236. Determine j(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114 - -123 - (35 + 2)) + -17?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/13? (a) 12 (b) 0.7 (c) -4 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m - 6. Let u be q(9). Let y = u + -33. Calculate the remainder when 43 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = -3*d - 26, 3*d = -3*s + 144. What is the highest common factor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4*z - 4*m**4 - 152*m**3*z + 10*m**3 - 20*m**2*z + 102*m*z + z wrt m.\nAnswer: 48*m*z - 96*m - 912*z + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3608 by 22.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and -906217.31941.\nAnswer: -906217.29941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*z - 29*z + 2*v - 24, 3*z + 2*v = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68568, 68569, 68608, 68703, 68872, 69133, 69504?\nAnswer: 70003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 10*j = -r + 17, -2*r - 10 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.407086 nanograms?\nAnswer: 0.000000000001407086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*j + 78*j - 86304. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.1588 to 2 dps.\nAnswer: -31.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - 27. Let x be y(-6). Suppose 4*o - x*u + 2*u - 38 = 0, -8 = -2*o - 5*u. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8235816521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 134 and 134 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30525 - 17290. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2)*(-4)\/8. What is the second derivative of 3*q**5 + 0 + q + t wrt q?\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*s**3 - 2176*s**2 - 209926*s wrt s.\nAnswer: 180*s - 4352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.6 + -9. Let g be (-2)\/(-8) + (-18)\/8. Let j = g - -4. Put 5, j, c in ascending order.\nAnswer: c, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -30938*c + 216310. What is p(7)?\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5995, -349, 5301, 10955, 16613, 22275?\n\"Answer: 2*q**2 + 5640*q - 11637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 1211.2?\nAnswer: 1206.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 378*k - 1544. Calculate r(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 57 = -5*u, -3*l - 88 = 6*u - u. Let f = 37 + l. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-2 + 1)**2.\nAnswer: -20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h - 2*h**3 + 24*h**3 - 24*h**2 = 0. Calculate h.\nAnswer: 0, 1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 111186 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/10 and (3\/(9\/6))\/((-5)\/(-31)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*l + 58*l - 6*l**3)*(-3 + 6 - 1) in the form n*l**2 + b + f*l**3 + x*l and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 49. Suppose m - 166 = -t*s + 4*m, 0 = 5*s - m - 162. Calculate the smallest common multiple of s and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**5 - 60690*r**4*t - 16*r**4 - 192*r**2*t + 93*r**2 - 25*r*t - 4*t wrt r.\nAnswer: 420*r**2 - 1456560*r*t - 384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 5*a**2 - 2*a + 12. Give o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.2, 2, 53, -0.0635, 4\/7?\nAnswer: -0.0635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 733.0431 millilitres to litres.\nAnswer: 0.7330431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*v**2 - 8*v**2 - 4*v**2 + 0*v**2 + 5*v**2 - 3*v**2 + (3*v + 3*v - 2*v)*(-v - v + 3*v) in the form r + d*v + b*v**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33042 is divided by 16514?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20568658?\nAnswer: 2, 11, 934939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405276?\nAnswer: 2, 3, 33773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/6 - (-1)\/3. Suppose -5*f = f. Suppose -5*o + f*o + 88 = -2*m, 5*m = 3*o - 68. Solve -6*t + o = -w*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 27*s - 4*s - 10 + 17*s.\nAnswer: 37*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-6)*1)\/1. Let w be (-110 - -2)\/(-4)*11\/33. Suppose -2*j - 122 = -4*m, -5*m + 12*j + 155 = w*j. Which is the closest to m? (a) g (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 400*0.5\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 218432314 to the nearest 1000000.\nAnswer: 218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6379801, 6379795, 6379789, 6379783?\n\"Answer: -6*p + 6379807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 166.980403 and -8.76.\nAnswer: 158.220403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32456212, -32456219, -32456230, -32456245, -32456264, -32456287?\nAnswer: -32456314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9694.\nAnswer: 2, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**3 + 504*k**2 + 17700*k + 190000 = 0?\nAnswer: -76, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*o - 7 = -4415 - 852 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3083397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-3 - -9) + -3. Let a = i + -6. Suppose -3*t - 3*f - 7 = 2, t + 2*f = -1. Sort t, a, 3 in decreasing order.\nAnswer: 3, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2416\/(-3) - (-32)\/(-48) - -1. Let u = -232646\/289 - w. Is u != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*q + 90 + 72, 2*a - 408 = -4*q. Put 4, -7, a in descending order.\nAnswer: a, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 - 45*p**2 + 2*p + 34*p**2 - 1309.\nAnswer: 2*p**2 + 2*p - 1309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89 and 3827?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-306)\/8 + (-13)\/(-52). Let x be 14\/(-63) + (m\/9)\/(-1). What is the second derivative of 19*o**2 - 6*o - x*o + o + 0*o wrt o?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 8*c**2 + 6*c + 30. What is the tens digit of b(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 10:16 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clcs when four letters picked without replacement from {c: 2, s: 2, l: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + r**2 - 647345*r - 10 - 9.\nAnswer: r**2 - 647345*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*s**2 + 3178 - 3178)*(5 - 1 - 3) - 6 + s**2 - 2*s - 4 + 8.\nAnswer: -58*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -o, -2*i - 5*o = 14. Let g be i\/3*1221\/22. Put -5, g, 4 in increasing order.\nAnswer: g, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 2 - 6 - 5. Let v(w) = w**2 - 13*w + 11. Let m be v(11). What is the units digit of p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 39, -412, -28 in ascending order.\nAnswer: -412, -28, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4332 and 6108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q. Let x(p) = 6*p**2 - 2*p. Calculate x(c(r)).\nAnswer: 486*r**2 - 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8cd + e?\nAnswer: 8dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1117\/1967 - 1\/281. Which is the smallest value? (a) z (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-5))\/(2 - 1). Let p = -84.097 - -85. Let n = p - 1.013. Which is the second biggest value? (a) 4 (b) n (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6802 - -2?\nAnswer: -6800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*z + 12776*z**2 - 193*z - 6388*z**2 + 384*z - 6385*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -149\/3 (b) -5 (c) 5 (d) -62557 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -294108*w**5 - 84*w**2 + 86497533*w.\nAnswer: -5882160*w**3 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1176) + sqrt(1176)*1 + sqrt(1176))\/(sqrt(120)\/sqrt(250)))**2 - (0 + 6*1*sqrt(162))**2.\nAnswer: 16218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55591251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 1080?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1483, -2058, -2613, -3148, -3663, -4158, -4633?\nAnswer: -5088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011000201221 - 222?\nAnswer: -12011000202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)*s)**44*(s*s\/(s\/((s*s\/s**2*s*s*s)\/s*s))*s)\/s*s**(-5))\/(((s\/s**(-2\/9))\/s)**13)**(-4\/25) assuming s is positive.\nAnswer: s**(14729\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-33)*(-1)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 14*z - 13. Let b be t(12). Suppose 0 = -0*q + 2*q - 3508. Suppose q = -b*f + 13*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 7*m**6\/6 - 4*m**4\/3 + m**3\/3 - 24*m. What is the third derivative of z(q) wrt q?\nAnswer: 840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13466 - -13572. Let z = 191 + -88. Let b = m - z. Solve -4 + b = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 5:02 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419856.\nAnswer: 2, 3, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39156 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 24 = -a. Suppose -4*m + a*j = -j - 16, 40 = 3*m + 4*j. Let z be (-2)\/m - (-1325)\/20. Calculate the highest common factor of z and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -201*l - 4. Let f(a) = -252*a - 4. Let y(p) = 4*f(p) - 5*k(p). Let u(v) = -5*v + 9. What is -6*u(o) + 11*y(o)?\nAnswer: -3*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 451*r + 893. Calculate j(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -165*o - 128. Let b be a(-1). Solve -14*y + 11*y + t - 7 = 0, -3*y = 5*t + b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 34. Let u = -140 + 154. Let i be t(u). Solve 2*k = 4*s - 20, i*k + 20 = 2*k + 3*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1818726\nAnswer: -727490.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -632212706*t - 184530493?\nAnswer: -632212706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**3))**(-8)*z\/z**(-9)*z**(-1))**(-3\/10))**(-44) assuming z is positive.\nAnswer: z**(2178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 598092 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 - 156. Let i(j) = 3*j**2 - 4*j - 3. Let h(y) = 2*y**2 - 3*y - 2. Let q(a) = -5*h(a) + 4*i(a). Let l be q(2). Sort 2, k, l.\nAnswer: 2, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**5 - 11932*v**3 - 95*v**2 - 3?\nAnswer: -60*v**2 - 71592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -424 - -426. Suppose n - p*a = 42, -3*n + 146 = -6*a + 10*a. Let i be (-2)\/8 + 922\/8. Calculate the greatest common factor of n and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 10*u**3 + 3*u. Let i be p(-1). What is i rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - 3 - (-34)\/2 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 times 42\nAnswer: -22.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1 - -1 - 2). Suppose -2*m + 3 = -a. Let p(w) = -4*w**2 - 2 + m. Let n(f) = -2*f**2. Calculate n(p(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0525 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 4 - 150*o**2 + 3 + 4 to the form r*o**2 + w + t*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -894270*l**2 + 5*l**3 + 894270*l**2 - l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a + 4*a)*(-198 - 210 - 151 + 54)*(-22 + 43 - 22)*(a + 1 - 1).\nAnswer: 1010*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -14. Let p = -13 + i. What is the third smallest value in -2, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318*y + 42*y + 32*y)*((-1 - 1 + 4)*(-5*y - y + 3*y) + y + 5*y - 3*y).\nAnswer: -1176*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 22*t + 21*t + 27 = 0, -31 = -p - 3*t. Solve -70*z = -75*z - p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q**(9\/4)*q*q)*((q*q**(-2\/21)*q)\/q)\/q*(q\/(q\/(q\/(q**(-12)*q))))\/((q**24\/q)\/q) assuming q is positive.\nAnswer: q**(-1037\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -5*n + 14, 2*f - 4*f + 4*n = 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 14*a - 10. Let c be b(13). Suppose 4*q = -c*q - 63. Find the common denominator of 125\/36 and q\/(-18) + 65\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 - -122?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -56. Let k be (-1 + 0 - v)*-59. Let u = -11 - k. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p - 25. What is the remainder when 177 is divided by l(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 2 + (8 + 15 - -21).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26880 (base 11) in base 3?\nAnswer: 1221120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxhxxxxxxxxxxxx. Give prob of picking 2 x and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2662*m - 1333*m - 1328*m + 1)*(-1 - 3 + 1).\nAnswer: -3*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*f - 88 = -20, -5*f + 12 = 2*s. Calculate the least common multiple of 24 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2338144 and 73\/440.\nAnswer: 128597920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1344 and 47328.\nAnswer: 662592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 16. Let h be f(-21). Suppose 0 = -31*x + h*x + 150. Let n = 59 + -57. Solve -4*m + 0*z + n*z - 10 = 0, -m - x = 5*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1040*s + 8. Let z be w(3). Suppose 4*h = -5*m + z, h - 807 = -0*h + 5*m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -793 - -799. Let d be -8 + 6 - -2*l\/8. Let o = -0.1 - -2.1. Which is the nearest to 7\/2? (a) -2\/13 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = -1815. Let l = 15833\/7 - 2257. Calculate the common denominator of l and ((-1012)\/i)\/((-2)\/5).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -216, 106, -9 in descending order.\nAnswer: 106, -9, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 10 = 0, 14 = -0*g - 4*g + 2*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83429 or -83424?\nAnswer: -83429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*((-476)\/5474 + 50\/46)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254721146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let q(n) = n - 4. Let o be q(6). Suppose 0 = -9*j - 9 + 36. Let t(z) = 2*z**2 + 4*z**2 + j*z**2 - 4*z**o. Give t(c(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14 + 2*r + 8 + 6 - 5*r. Let b be d(7). Solve -b - 1 = 5*s + 3*l, 4*s + 2 = 2*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10971 and 414?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1800 + 19816\/11. Let t be 6\/21 - 32\/308. Factor -t*n**3 + 12\/11*n**2 + s - 24\/11*n.\nAnswer: -2*(n - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 14) in base 3?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 765 and 101640.\nAnswer: 5183640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + 3.24. Let x = z + 1.8. Which is the nearest to 2\/3? (a) x (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5\/13 - 2*x**4 + 122*x**3\/13 - 254*x**2\/13 + 236*x\/13 - 80\/13 = 0.\nAnswer: 1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 75 and 3956659.\nAnswer: 3956734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 5:46 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*3018.\nAnswer: 135810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3021743046 to the nearest integer?\nAnswer: 54970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}